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<title>Prepjunk - Recent questions and answers in Interview</title>
<link>http://www.prepjunk.com/qa/career/interview</link>
<description>Powered by Question2Answer</description>
<item>
<title>Answered: In c,if you pass an array as an argument to a function,what actuallay gets passed ?</title>
<link>http://www.prepjunk.com/3342/you-pass-array-argument-function-what-actuallay-gets-passed?show=3343#a3343</link>
<description>&lt;p&gt;Base address of an array.&lt;/p&gt;
</description>
<category>Technical Interiew</category>
<guid isPermaLink="true">http://www.prepjunk.com/3342/you-pass-array-argument-function-what-actuallay-gets-passed?show=3343#a3343</guid>
<pubDate>Fri, 30 Mar 2012 16:28:15 +0000</pubDate>
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<item>
<title>Answered: what is the result of 16&gt;&gt;2 ?</title>
<link>http://www.prepjunk.com/3340/what-is-the-result-of-16-2?show=3341#a3341</link>
<description>&lt;p&gt;The answer is 4&lt;/p&gt;
</description>
<category>Technical Interiew</category>
<guid isPermaLink="true">http://www.prepjunk.com/3340/what-is-the-result-of-16-2?show=3341#a3341</guid>
<pubDate>Fri, 30 Mar 2012 16:23:58 +0000</pubDate>
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<item>
<title>Answered: Write program to find 2-nd largest element in an array with single loop.</title>
<link>http://www.prepjunk.com/2978/write-program-find-largest-element-in-array-with-single-loop?show=2979#a2979</link>
<description>&lt;p&gt;Function&lt;/p&gt;

&lt;pre&gt;&lt;code&gt;//program to find second largest element
            int secondMaxElement(int a[], int len) 
    {
                int max = INT_MIN, secondMax = INT_MIN, i;
                for(i = 0; i &amp;lt; len; i++) {
                    if(a[i] &amp;gt; max) {
                        secondMax = max;
                        max = a[i];
                    }
                    else if(a[i] &amp;gt; secondMax &amp;amp;&amp;amp; a[i] &amp;lt; max)
                        secondMax = a[i];
                }
                return secondMax;
            }
&lt;/code&gt;&lt;/pre&gt;
</description>
<category>Technical Interiew</category>
<guid isPermaLink="true">http://www.prepjunk.com/2978/write-program-find-largest-element-in-array-with-single-loop?show=2979#a2979</guid>
<pubDate>Thu, 29 Mar 2012 17:17:19 +0000</pubDate>
</item>
<item>
<title>Answered: Substitute digits for the letters to make the following subtraction problem true.</title>
<link>http://www.prepjunk.com/2913/substitute-digits-letters-following-subtraction-problem?show=2914#a2914</link>
<description>&lt;p&gt;One of the simplest brain teaser as there are total 26 possible answers.&lt;br&gt;
It is obvious that S=C+1. Since A-S=S, it is clear that A=2 * S or 2 * s-10. Also, L&lt;br&gt;
and X are interchangeable.&lt;br&gt;
&lt;strong&gt;SANTA - CLAUS = XMAS&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;24034 - 16492 = 7542&lt;br&gt;
24034 - 17492 = 6542&lt;br&gt;
24074 - 15432 = 8642&lt;br&gt;
24074 - 18432 = 5642&lt;br&gt;
24534 - 16492 = 8042&lt;br&gt;
24534 - 18492 = 6042&lt;br&gt;
24794 - 16452 = 8342&lt;br&gt;
24794 - 18452 = 6342&lt;br&gt;
24804 - 15462 = 9342&lt;br&gt;
24804 - 19462 = 5342&lt;br&gt;
24974 - 16432 = 8542&lt;br&gt;
24974 - 18432 = 6542&lt;br&gt;
36806 - 27643 = 9163&lt;br&gt;
36806 - 29643 = 7163&lt;br&gt;
36156 - 27693 = 8463&lt;br&gt;
36156 - 28693 = 7463&lt;br&gt;
62132 - 54206 = 7926&lt;br&gt;
62132 - 57206 = 4926&lt;br&gt;
62172 - 53246 = 8926&lt;br&gt;
62172 - 58246 = 3926&lt;br&gt;
62402 - 53276 = 9126&lt;br&gt;
62402 - 59276 = 3126&lt;br&gt;
62712 - 53286 = 9426&lt;br&gt;
62712 - 59286 = 3426&lt;br&gt;
62932 - 58206 = 4726&lt;br&gt;
62932 - 54206 = 8726&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2913/substitute-digits-letters-following-subtraction-problem?show=2914#a2914</guid>
<pubDate>Thu, 29 Mar 2012 14:47:48 +0000</pubDate>
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<item>
<title>Answered: Yesterday in a party, I asked Mr. Shah his birthday. With a mischievous glint in</title>
<link>http://www.prepjunk.com/2910/yesterday-party-asked-shah-birthday-with-mischievous-glint?show=2912#a2912</link>
<description>&lt;p&gt;Mr. Shah's date of birth is 31 December, 1915&lt;br&gt;
Today is 1 January, 2000. The day before yesterday was 30 December, 1999&lt;br&gt;
and Mr. Shah was 83 on that day. Today i.e. 1 January, 2000 - he is 84. On 31&lt;br&gt;
December 2000, he will be 85 and next year i.e. 31 December, 2001 - he will be&lt;br&gt;
86. Hence, the date of birth is 31 December, 1915.&lt;br&gt;
Many people do think of Leap year and date of birth as 29th February as 2000 is&lt;br&gt;
the Leap year and there is difference of 3 years in Mr. Shah's age. But that is not&lt;br&gt;
the answer.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2910/yesterday-party-asked-shah-birthday-with-mischievous-glint?show=2912#a2912</guid>
<pubDate>Thu, 29 Mar 2012 14:47:01 +0000</pubDate>
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<item>
<title>Answered: Mr. D'souza has bought four cars - Merc, Honda, Ford, Zen - as presents for his</title>
<link>http://www.prepjunk.com/2908/dsouza-has-bought-four-cars-merc-honda-ford-presents-for-his?show=2909#a2909</link>
<description>&lt;p&gt;Let's put given 9 information in a table. The person in Bold Font will not get the&lt;br&gt;
corresponding car unless the persons in Normal Font get the corresponding cars.&lt;br&gt;
Also, the person will Italics will get the remaining car.&lt;br&gt;
Merc Honda Ford Zen&lt;br&gt;
1 Barry Alan Denzil Carl&lt;br&gt;
2 Alan Denzil Barry Carl&lt;br&gt;
3 Barry Alan Carl Denzil&lt;br&gt;
4 Alan Barry Denzil Carl&lt;br&gt;
5 Barry Carl Denzil Alan&lt;br&gt;
6 Carl Barry Denzil Alan&lt;br&gt;
7 Denzil Barry Alan Carl&lt;br&gt;
8 Carl Denzil Alan Barry&lt;br&gt;
9 Carl Denzil ? ?&lt;br&gt;
Now, let's assume that Alan gets the Merc. Then from (4), Barry gets the Honda,&lt;br&gt;
Denzil gets the Ford and Carl gets the Zen. But from (7), Carl will not get the Zen&lt;br&gt;
unless Barry gets the Honda and Alan gets the Ford. Thus, it contradicts the&lt;br&gt;
original assumption. Hence, Alan will not get the Merc.&lt;br&gt;
Let's assume that Alan gets the Honda. Then from (1), Barry gets the Merc,&lt;br&gt;
Denzil gets the Ford and Carl gets the Zen. But from (5) or from (7), it contradicts&lt;br&gt;
the original assumption. Hence, Alan will not get the Honda.&lt;br&gt;
Let's assume that Alan gets the Ford. Then from (8), Carl gets the Merc, Denzil&lt;br&gt;
gets the Ford and Barry gets the Zen - which does not contradict any of the&lt;br&gt;
statement.&lt;br&gt;
Similaly, you can assume that Alan gets the Zen. (which is contradictory to (9))&lt;br&gt;
Hence, Alan gets the Ford, Barry gets the Zen, Carl gets the Merc and Denzil&lt;br&gt;
gets the Honda.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2908/dsouza-has-bought-four-cars-merc-honda-ford-presents-for-his?show=2909#a2909</guid>
<pubDate>Thu, 29 Mar 2012 14:46:22 +0000</pubDate>
</item>
<item>
<title>Answered: A positive integer that, when added to 1000 gives a sum which is greater than when multiplied by 1000. Find the positive integer</title>
<link>http://www.prepjunk.com/2906/positive-integer-gives-greater-multiplied-positive-integer?show=2907#a2907</link>
<description>&lt;p&gt;The positive integer is 1.&lt;br&gt;
Sum of 1 and 1000 = 1 + 1000 = 1001&lt;br&gt;
Multiplication of 1 and 1000 = 1  *  1000 = 1000&lt;br&gt;
Thus, sum of 1 and 1000 is greater than the multiplication of 1 and 1000.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2906/positive-integer-gives-greater-multiplied-positive-integer?show=2907#a2907</guid>
<pubDate>Thu, 29 Mar 2012 14:45:50 +0000</pubDate>
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<item>
<title>Answered: • A is the father of two children - B and D who are of different sexes. • C is B's spouse.</title>
<link>http://www.prepjunk.com/2904/the-father-two-children-and-who-are-of-different-sexes-spouse?show=2905#a2905</link>
<description>&lt;p&gt;There are 7 females and 6 males.&lt;br&gt;
Assume that there are four sexes - male, female, X and Y. Prepare the following&lt;br&gt;
tree based on the data given :&lt;br&gt;
sister&lt;/p&gt;

&lt;pre&gt;&lt;code&gt;L(m) - H(f) -------------------- M(f) - A(m)
| |
| |
E(x) - I(y) D(x) B(y) -
C(x)
| |
| |
J(y) K(y) F(y)
G(x)
&lt;/code&gt;&lt;/pre&gt;

&lt;p&gt;It is clear that there are altogether 13 persons - 2 males, 2 females, 4 Xs and 5 Ys.&lt;br&gt;
It is given that there are more number of females than male. Hence, all Y must represent female. Thus, there are 7 females and 6 males.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2904/the-father-two-children-and-who-are-of-different-sexes-spouse?show=2905#a2905</guid>
<pubDate>Thu, 29 Mar 2012 14:45:25 +0000</pubDate>
</item>
<item>
<title>Answered: Father's age is three years more than three times the son's age. After three</title>
<link>http://www.prepjunk.com/2902/fathers-age-three-years-more-than-three-times-sons-after-three?show=2903#a2903</link>
<description>&lt;p&gt;Let son's present age is X years.&lt;br&gt;
Hence, father's present age is (3X + 3) years.&lt;br&gt;
After 3 years, son's age will be (X + 3) years.&lt;br&gt;
and father's age will be (3X + 6) years.&lt;br&gt;
But given that after 3 years father's age will be ten years more than twice the&lt;br&gt;
son's age.&lt;br&gt;
(3X + 6) = 2  *  (X + 3) + 10&lt;br&gt;
3X + 6 = 2X + 16&lt;br&gt;
X = 10&lt;br&gt;
Therefore, father's present age is 33 years.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2902/fathers-age-three-years-more-than-three-times-sons-after-three?show=2903#a2903</guid>
<pubDate>Thu, 29 Mar 2012 14:44:42 +0000</pubDate>
</item>
<item>
<title>Answered: In training for a competition, you find that swimming downstream (with the</title>
<link>http://www.prepjunk.com/2900/training-competition-find-that-swimming-downstream-with-the?show=2901#a2901</link>
<description>&lt;p&gt;You are able to swim downstream at 3 miles an hour, &amp;amp; upstream at 2 miles an&lt;br&gt;
hour. There is a difference of 1 mile an hour, which is the river helping you in 1&lt;br&gt;
direction, &amp;amp; slowing you in the other direction.&lt;br&gt;
 Average the 2 rates, &amp;amp; you have the rate that you can swim in still water, which is&lt;br&gt;
2.5 miles an hour.&lt;br&gt;
You can thus swim a mile in still water in 24 minutes.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2900/training-competition-find-that-swimming-downstream-with-the?show=2901#a2901</guid>
<pubDate>Thu, 29 Mar 2012 14:44:14 +0000</pubDate>
</item>
<item>
<title>Answered: Annie, Bunnie, Candy and Dina visited Edy on 14th February.</title>
<link>http://www.prepjunk.com/2898/annie-bunnie-candy-and-dina-visited-edy-on-14th-february?show=2899#a2899</link>
<description>&lt;p&gt;&lt;strong&gt;Bunnie (9:00AM) - Dina (11:00AM) - Annie (8:00PM) - Candy (10:00PM)&lt;/strong&gt;&lt;br&gt;
From the given data, it is clear that at least one female visited Edy in the morning&lt;br&gt;
and at least one female visited Edy in the evening. Also, from (4), Annie did not&lt;br&gt;
visit Edy first. It means that Annie visited Edy at 8:00 PM&lt;br&gt;
From (3), Bunnie must have visited Edy at 9:00 AM. Also, either Candy or Dina&lt;br&gt;
or both visited Edy in the morning.&lt;br&gt;
But from (2), only Dina must have visited Edy in the morning at 11:00 AM and&lt;br&gt;
hence, Candy visited Edy at 10:00 PM.&lt;br&gt;
The order of visits must be:&lt;br&gt;
Bunnie (9:00AM) - Dina (11:00AM) - Annie (8:00PM) - Candy (10:00PM)&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2898/annie-bunnie-candy-and-dina-visited-edy-on-14th-february?show=2899#a2899</guid>
<pubDate>Thu, 29 Mar 2012 14:43:33 +0000</pubDate>
</item>
<item>
<title>Answered: An orange colored glass has Orange juice and white colored glass has Apple</title>
<link>http://www.prepjunk.com/2895/orange-colored-glass-orange-juice-white-colored-glass-apple?show=2897#a2897</link>
<description>&lt;p&gt;&lt;strong&gt;The two quantities are equal.&lt;/strong&gt;&lt;br&gt;
Solve it by taking example. Let's assume that both glasses contain 450 ml of&lt;br&gt;
juice each.&lt;br&gt;
Now, 50ml of the orange juice is taken and poured into the White glass. Hence,&lt;br&gt;
orange colored glass contains 400 ml of Orange juice and white glass contains&lt;br&gt;
450 ml of Apple juice and 50 ml of Orange juice i.e. total of 500 ml from white&lt;br&gt;
glass contains 450 ml of Apple juice and 50 ml of Orange juice. It means that&lt;br&gt;
&lt;strong&gt;every 50 ml from white glass contains 45 ml of Apple juice and 5 ml of&lt;br&gt;
Orange juice.&lt;/strong&gt;&lt;br&gt;
Similary, 50 ml of juice from white glass is poured into orange glass. Now this 50&lt;br&gt;
ml is not a pure apple juice. It contains 45 ml of Apple juice and 5 ml of Orange&lt;br&gt;
juice.&lt;br&gt;
Hence, Orange glass contains 405 ml of Orange juice and 45 ml of Apple juice.&lt;br&gt;
Similary, white glass contains 405 ml of Apple juice and 45 ml of Orange juice.&lt;br&gt;
&lt;strong&gt;Orange Glass White Glass&lt;/strong&gt;&lt;br&gt;
Orange&lt;br&gt;
Juice&lt;br&gt;
Apple&lt;br&gt;
Juice&lt;br&gt;
Orange&lt;br&gt;
Juice&lt;br&gt;
Apple&lt;br&gt;
Juice&lt;br&gt;
Initially 450 ml 0 ml 0 ml 450 ml&lt;br&gt;
50 ml from Orange Glass is&lt;br&gt;
poured into White Glass 400 ml 0 ml 50 ml 450 ml&lt;br&gt;
50 ml from White Glass is poured&lt;br&gt;
into Orange Glass 405 ml 45 ml 45 ml 405 ml&lt;br&gt;
Now it is clear that the amount of apple juice in the orange glass and the amount&lt;br&gt;
of orange juice in the white glass are the same.&lt;br&gt;
P.S. Here we assumed 450 ml as initial quantity in both the glasses just for&lt;/p&gt;

&lt;p&gt;simplicity. You can try the same by assuming any other number. But the answer&lt;br&gt;
is the same.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2895/orange-colored-glass-orange-juice-white-colored-glass-apple?show=2897#a2897</guid>
<pubDate>Thu, 29 Mar 2012 14:43:03 +0000</pubDate>
</item>
<item>
<title>Answered: Four men - Abraham, Bobby, Clinton and Denial - are standing in a straight</title>
<link>http://www.prepjunk.com/2892/four-abraham-bobby-clinton-and-denial-are-standing-straight?show=2893#a2893</link>
<description>&lt;p&gt;&lt;strong&gt;Clinton is fair, handsome and unscarred.&lt;/strong&gt;&lt;br&gt;
From (2), both the men standing next to Abraham are not fair. Also, exactly one&lt;br&gt;
man is fair, handsom and unscarred. Hence, there are two cases:&lt;br&gt;
Case 1 :: ? (N, ?, ?) : Abraham (Y, Y, N) : ? (N, ?, ?) : ? (?, ?, ?)&lt;br&gt;
Case 2 :: ? (N, ?, ?) : Abraham (?, ?, ?) : ? (N, ?, ?) : ? (Y, Y, N)&lt;br&gt;
Note the representation - Name (Fair, Handsome, Scarred). &quot;Y&quot; stands for Yes&lt;br&gt;
and &quot;N&quot; stabds for No. Abraham (Y, Y, N) means Abraham is Fair, Handsome&lt;br&gt;
and Unscarred.&lt;br&gt;
It is clear that either Abraham or the man at the extreme right is fair, handsome&lt;br&gt;
and unscarred.&lt;br&gt;
From (4), it is deduced that Clinton is standing next to unscarred man and each&lt;br&gt;
of the other men standing next to exactly one scarred man.&lt;br&gt;
Case 1 :: Clinton (N, ?, N) : Abraham (Y, Y, N) : ? (N, ?, Y) : ? (?, ?, Y)&lt;br&gt;
Case 2 :: ? (N, ?, Y) : Abraham (?, ?, Y) : ? (N, ?, N) : Clinton (Y, Y, N)&lt;br&gt;
From (3), Bobby is the only man standing next to exactly one handsome man.&lt;br&gt;
But in Case 1, Clinton is standing next to exactly one handsome man. Hence,&lt;br&gt;
Case 1 is not possible and Case 2 is the correct one.&lt;br&gt;
Case 2 :: ? (N, ?, Y) : Abraham (?, ?, Y) : ? (N, ?, N) : Clinton (Y, Y, N)&lt;br&gt;
Again from (3) and (4), there are 2 possibilities as shown below.&lt;br&gt;
Case 2a :: Denial (N, N, Y) : Abraham (?, N, Y) : Bobby (N, N, N) : Clinton (Y, Y,&lt;br&gt;
N)&lt;br&gt;
Case 2b :: Bobby (N, N, Y) : Abraham (?, Y, Y) : Denial (N, N, N) : Clinton (Y, Y,&lt;br&gt;
N)&lt;br&gt;
Thus, Clinton is fair, handsome and unscarred. Also, Abraham may be either fair&lt;br&gt;
or not fair.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2892/four-abraham-bobby-clinton-and-denial-are-standing-straight?show=2893#a2893</guid>
<pubDate>Thu, 29 Mar 2012 14:39:50 +0000</pubDate>
</item>
<item>
<title>Answered: The secret agent X emailed a code word to his head office. They are &quot;AIM DUE</title>
<link>http://www.prepjunk.com/2889/the-secret-agent-emailed-code-word-head-office-they-are-aim-due?show=2891#a2891</link>
<description>&lt;p&gt;&lt;strong&gt;The code word is TIE.&lt;/strong&gt;&lt;br&gt;
If you were told any one character of MOD, then you would not be able to&lt;br&gt;
determine whether the number of vowels are one or two. e.g. if you were told M,&lt;br&gt;
there are two words with M - AIM with 2 vowels and MOD with 1 vowel. So you&lt;br&gt;
would not be able to say the number of vowels. Same arguments can be given&lt;br&gt;
for characters O and D.&lt;br&gt;
Hence, the word with any one of M, O or D is not a code word i.e. AIM, DUE,&lt;br&gt;
OAT and MOD are not the code word. Thus, TIE is the code word.&lt;br&gt;
T : two words - TIE and OAT, both with 2 vowels&lt;br&gt;
I : two words - TIE and AIM, both with 2 vowels&lt;br&gt;
E : two words - TIE and DUE, both with 2 vowels.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2889/the-secret-agent-emailed-code-word-head-office-they-are-aim-due?show=2891#a2891</guid>
<pubDate>Thu, 29 Mar 2012 14:39:08 +0000</pubDate>
</item>
<item>
<title>Answered: Eleven boys and girls wait to take their seats in the same row in a movie theater.</title>
<link>http://www.prepjunk.com/2887/eleven-boys-girls-wait-take-their-seats-same-row-movie-theater?show=2888#a2888</link>
<description>&lt;p&gt;&lt;strong&gt;There are 1024 different ways.&lt;/strong&gt;&lt;br&gt;
This is the type of Brain Teaser that can be solved using the method of induction.&lt;br&gt;
If there is just a one person and one seat, that person has only one option.&lt;br&gt;
If there are two persons and two seats, it can be accomplished in 2 different&lt;br&gt;
ways.&lt;br&gt;
If there are three persons and three seats, it can be accomplished in 4 different&lt;br&gt;
ways. Remember that no person can take a seat that separates him/her from at&lt;br&gt;
least one other person.&lt;/p&gt;

&lt;p&gt;Similarly, four persons and four seats produce 8 different ways. And five persons&lt;br&gt;
with five seats produce 16 different ways.&lt;br&gt;
It can be seen that with each additional person and seat, the different ways&lt;br&gt;
increase by the power of two. For six persons with six seats, there are 32&lt;br&gt;
different ways.&lt;br&gt;
For any number N, the different possible ways are 2(N-1)&lt;br&gt;
Thus, for 11 persons and 11 seats, total different ways are 210 i.e. 1024&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2887/eleven-boys-girls-wait-take-their-seats-same-row-movie-theater?show=2888#a2888</guid>
<pubDate>Thu, 29 Mar 2012 14:38:27 +0000</pubDate>
</item>
<item>
<title>Answered: Five students - Akash, Chintan, Jignesh, Mukund and Venky - appeared for an</title>
<link>http://www.prepjunk.com/2885/five-students-akash-chintan-jignesh-mukund-venky-appeared?show=2886#a2886</link>
<description>&lt;p&gt;&lt;strong&gt;The correct answers are b, a, True, False and False. Also, the scores are&lt;/strong&gt;&lt;br&gt;
Jignesh (0), Akash (1), Chintan (2), Venky (3) and Mukund (4).&lt;br&gt;
As no two students got the same number of correct answers, the total number of&lt;br&gt;
correct answers must be either 15 (1+2+3+4+5) or 10 (0+1+2+3+4).&lt;br&gt;
Let's find out the maximum number of correct answers possible from the answers given by them.&lt;br&gt;
For Question I = 2 (b or c)&lt;br&gt;
For Question II = 2 (b or c)&lt;br&gt;
For Question III = 4 (True)&lt;br&gt;
For Question IV = 4 (True)&lt;br&gt;
For Question V = 3 (True)&lt;br&gt;
Thus, the maximum number of correct answers possible are 15 (2+2+4+4+3)&lt;br&gt;
which means that Akash would have given all correct answers as only he answered True for questions III, IV and V. But then Chintan and Jignesh would&lt;br&gt;
have exactly 3 correct answers. And also, Mukund and Venky would have 2 correct answers. So no one got all five correct. One can also arrive at this conclusion by trial-and-error, but that would be bit lengthy.&lt;br&gt;
Now, it is clear that total number of correct answers are 10 (0+1+2+3+4).&lt;br&gt;
Questions III and IV both can not be False. If so, total number of correct answers would not be 10. So the student who got all wrong can not be Chintan, Akash and Mukund.&lt;br&gt;
If Venky got all wrong, then Chintan, Jignesh and Mukund each would have atleast 2 correct answers. It means that Akash would have to be the student with only one correct answer and the correct answers for questions I and II would be a and a respectively. But then the total number of correct answers would be 1 (a) + 1 (a) + 1 (False) + 4 (True) + 2 (Flase) = 9.&lt;br&gt;
Thus, Jignesh is the student with all wrong answers. The correct answers are b, a, True, False and False. Also, the scores are Jignesh (0), Akash (1), Chintan (2), Venky (3) and Mukund (4).&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2885/five-students-akash-chintan-jignesh-mukund-venky-appeared?show=2886#a2886</guid>
<pubDate>Thu, 29 Mar 2012 14:37:48 +0000</pubDate>
</item>
<item>
<title>Answered: How long would it take you to count 1 billion orally if you could count 200 every</title>
<link>http://www.prepjunk.com/2883/long-would-take-you-count-billion-orally-you-could-count-every?show=2884#a2884</link>
<description>&lt;p&gt;9 Years, 187 Days, 5 Hours, 20 minutes&lt;br&gt;
As you can count 200 per minute, to count 1 billion you require&lt;br&gt;
= 1,000,000,000/200 minutes&lt;br&gt;
= 5,000,000 minutes&lt;br&gt;
= 83,333.3333 hours&lt;br&gt;
= 3,472.2222 days&lt;br&gt;
= 9.512937 years&lt;br&gt;
= 9 Years, 187 Days, 5 Hours, 20 minutes&lt;br&gt;
Note that a day off every four year will be a Leap day. Hence, no need to&lt;br&gt;
consider leap year.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2883/long-would-take-you-count-billion-orally-you-could-count-every?show=2884#a2884</guid>
<pubDate>Thu, 29 Mar 2012 14:36:57 +0000</pubDate>
</item>
<item>
<title>Answered: At the entrance to a members club stands a stranger seeking admission. A friend told him that it's easy to get in.</title>
<link>http://www.prepjunk.com/2881/entrance-members-stands-stranger-seeking-admission-friend?show=2882#a2882</link>
<description>&lt;p&gt;&lt;strong&gt;The correct answer was &quot;Four&quot;.&lt;/strong&gt;&lt;br&gt;
The answer is the number of letters in the word spoken by the door warden.&lt;br&gt;
&quot;Twelve&quot; contains &quot;Six&quot; letters i.e. T, W, E, L, V, E&lt;br&gt;
&quot;Six&quot; contains &quot;Three&quot; letters i.e. S, I, X&lt;br&gt;
Similarly, &quot;Four&quot; contains &quot;Four&quot; letters i.e. F, O, U, R&lt;br&gt;
There is a perfect sphere of diameter 40 cms. resting up against a perfectly&lt;br&gt;
straight wall and a perfectly straight floor i.e. the wall and the floor make a perfect&lt;br&gt;
right angle.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2881/entrance-members-stands-stranger-seeking-admission-friend?show=2882#a2882</guid>
<pubDate>Thu, 29 Mar 2012 14:36:30 +0000</pubDate>
</item>
<item>
<title>Answered: If one person sends the e-mail to two friends, asking each of them to copy the</title>
<link>http://www.prepjunk.com/2879/one-person-sends-the-mail-two-friends-asking-each-them-copy-the?show=2880#a2880</link>
<description>&lt;p&gt;&lt;strong&gt;2147483646&lt;/strong&gt;&lt;br&gt;
First person sent the mail to 2 persons. Those 2 sent the mail to 2 persons each,&lt;br&gt;
total 4 persons. Now, those 4 person sent mail to total 8 persons, then 8 to 16&lt;br&gt;
persons, 16 to 32 persons and so on.... Hence, it a series of 2, 4, 8, 16, 32 upto&lt;br&gt;
30 numbers&lt;br&gt;
It is a Geometric series with common ratio 2 and first number is also 2.&lt;br&gt;
Summation of such series is given by A  *  (Rn - 1) / (R - 1) where&lt;br&gt;
A = First term&lt;br&gt;
R = Common Ratio&lt;br&gt;
n = total numbers&lt;br&gt;
So total number of times mail sent by the time it did 30 sets&lt;br&gt;
= 2  *  (230 - 1) / (2 - 1)&lt;br&gt;
= 2  *  (1073741824 - 1)&lt;br&gt;
= 2  *  1073741823&lt;br&gt;
= 2147483646&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2879/one-person-sends-the-mail-two-friends-asking-each-them-copy-the?show=2880#a2880</guid>
<pubDate>Thu, 29 Mar 2012 14:35:54 +0000</pubDate>
</item>
<item>
<title>Answered: If you added together the number of 2's in each of the following sets of numbers, which set would contain the most 2's: 1-333, 334-666, or 667-999?</title>
<link>http://www.prepjunk.com/2877/added-together-number-following-numbers-which-would-contain?show=2878#a2878</link>
<description>&lt;p&gt;&lt;strong&gt;1-333&lt;/strong&gt;&lt;br&gt;
The reason why is because 200-299 each begins with a 2!&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2877/added-together-number-following-numbers-which-would-contain?show=2878#a2878</guid>
<pubDate>Thu, 29 Mar 2012 14:35:28 +0000</pubDate>
</item>
<item>
<title>Answered: Five horses ran in the race.</title>
<link>http://www.prepjunk.com/2875/five-horses-ran-in-the-race?show=2876#a2876</link>
<description>&lt;p&gt;It's simple.&lt;br&gt;
Let's find the possible places horses can finish. Possibilities are:&lt;br&gt;
Sikandar - 2,3,4 (not 5th as Mughal Glory came one place after him)&lt;br&gt;
Star - 2,3,4&lt;br&gt;
Mughal Glory - 3,4,5&lt;br&gt;
Zozo - 1,3 (not 4th &amp;amp; 5th as Rangila is two place after him)&lt;/p&gt;

&lt;p&gt;Rangila - 3,5&lt;br&gt;
So the result is:&lt;br&gt;
1 Zozo&lt;br&gt;
2 Star&lt;br&gt;
3 Rangila&lt;br&gt;
4 Sikandar&lt;br&gt;
5 Mughal Glory&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2875/five-horses-ran-in-the-race?show=2876#a2876</guid>
<pubDate>Thu, 29 Mar 2012 14:35:06 +0000</pubDate>
</item>
<item>
<title>Answered: How many squares are there in a 5 inch by 5 inch square grid? Note that the grid</title>
<link>http://www.prepjunk.com/2873/how-many-squares-there-inch-inch-square-grid-note-that-the-grid?show=2874#a2874</link>
<description>&lt;p&gt;There are 55 squares in a 5 by 5 grid.&lt;br&gt;
There are 25 squares of one grid.&lt;br&gt;
There are 16 squares of four grids i.e. 2 by 2&lt;br&gt;
There are 9 squares of nine grids i.e. 3 by 3&lt;br&gt;
There are 4 squares of sixteen grids i.e. 4 by 4&lt;br&gt;
There is 1 square of twenty-five girds i.e. 5 by 5&lt;br&gt;
Hence, there are total 25 + 16 + 9 + 4 + 1 = 55 squares.&lt;br&gt;
You must have noticed one thing that total number squares possible of each size&lt;br&gt;
is always a perfact square i.e. 25, 16, 9, 4, 1&lt;br&gt;
For a grid of N by N, the possible number of squares are&lt;br&gt;
= N2 + (N - 1)2 + (N - 2)2 + (N - 3)2 + ......... + 32 + 22 + 12&lt;br&gt;
For 1 by 1 grid, total squares = 12 = 1&lt;br&gt;
For 2 by 2 grid, total squares = 22 + 12 = 5&lt;br&gt;
For 3 by 3 grid, total squares = 32 + 22 + 12 = 14&lt;br&gt;
For 4 by 4 grid, total squares = 42 + 32 + 22 + 12 = 30&lt;br&gt;
For 5 by 5 grid, total squares = 52 + 42 + 32 + 22 + 12 = 55&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2873/how-many-squares-there-inch-inch-square-grid-note-that-the-grid?show=2874#a2874</guid>
<pubDate>Thu, 29 Mar 2012 14:34:35 +0000</pubDate>
</item>
<item>
<title>Answered: You have 13 balls which all look identical. All the balls are the same weight</title>
<link>http://www.prepjunk.com/2871/you-have-balls-which-look-identical-balls-are-the-same-weight?show=2872#a2872</link>
<description>&lt;p&gt;It is always possible to find odd ball in 3 weighings and in most of the cases it is&lt;br&gt;
possible to tell whether the odd ball is heavier or lighter. Only in one case, it is&lt;br&gt;
not possible to tell the odd ball is whether heavier or lighter.&lt;br&gt;
1. Take 8 balls and weigh 4 against 4.&lt;br&gt;
o If both are not equal, goto step 2&lt;br&gt;
o If both are equal, goto step 3&lt;br&gt;
2. One of these 8 balls is the odd one. Name the balls on heavier side of the&lt;br&gt;
scale as H1, H2, H3 and H4. Similarly, name the balls on the lighter side&lt;br&gt;
of the scale as L1, L2, L3 and L4. Either one of H's is heavier or one of L's&lt;br&gt;
is lighter. Weigh (H1, H2, L1) against (H3, H4, X) where X is one ball from&lt;br&gt;
the remaining 5 balls in intial weighing.&lt;br&gt;
o If both are equal, one of L2, L3, L4 is lighter. Weigh L2 against L3.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2871/you-have-balls-which-look-identical-balls-are-the-same-weight?show=2872#a2872</guid>
<pubDate>Thu, 29 Mar 2012 14:34:04 +0000</pubDate>
</item>
<item>
<title>Answered: A drinks machine offers three selections - Tea, Coffee or Random (Either tea or Coffee) but the machine has</title>
<link>http://www.prepjunk.com/2869/drinks-machine-selections-coffee-random-either-coffee-machine?show=2870#a2870</link>
<description>&lt;p&gt;&lt;strong&gt;You have to put just 50p.&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;Put 50p and push the button for Random. There are only 2 possibilities. It will&lt;br&gt;
give either Tea or Coffee.&lt;br&gt;
• If it gives Tea, then the button named Random is for Tea. The button&lt;br&gt;
named Coffee is for Random selection. And the button named Tea is for&lt;br&gt;
Coffee.&lt;br&gt;
• If it gives Coffee, then the button named Random is for Coffee. The button&lt;br&gt;
named Tea is for Random selection. And the button named Coffee is for&lt;br&gt;
Tea.&lt;br&gt;
Thus, you can make out which button is for what by putting just 50p and pressing&lt;br&gt;
Random selection first.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2869/drinks-machine-selections-coffee-random-either-coffee-machine?show=2870#a2870</guid>
<pubDate>Thu, 29 Mar 2012 14:33:32 +0000</pubDate>
</item>
<item>
<title>Answered: A fly is flying between two trains, each travelling towards each other on the same</title>
<link>http://www.prepjunk.com/2867/flying-between-trains-each-travelling-towards-each-other-same?show=2868#a2868</link>
<description>&lt;p&gt;&lt;strong&gt;Initially, the trains were 240 km apart.&lt;/strong&gt;&lt;br&gt;
The fly is flying at the speed of 90 km/h and covers 180 km. Hence, the fly flies for 2 hours after trains started.&lt;br&gt;
It's obvious that trains met 2 hours after they started travelling towards each other. Also, trains were travelling at the speed of 60 km/h. So, each train traveled 120 km before they met.&lt;br&gt;
Hence, the trains were 240 km apart initially.&lt;br&gt;
What is the minimum number of numbers needed to form every number from 1 to 7,000? Example: To form 4884, you would need 2 4s &amp;amp; 2 8s. 4822 requires a 4,&lt;br&gt;
a 8, &amp;amp; 2 2s, but you would not count the numbers again that you had already counted from making 4884.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2867/flying-between-trains-each-travelling-towards-each-other-same?show=2868#a2868</guid>
<pubDate>Thu, 29 Mar 2012 14:32:11 +0000</pubDate>
</item>
<item>
<title>Answered: Three Gold (G) coins, three Silver (S) coins and three Copper (C) coins are</title>
<link>http://www.prepjunk.com/2865/three-gold-coins-three-silver-coins-and-three-copper-coins-are?show=2866#a2866</link>
<description>&lt;p&gt;Minimum number of moves are 8.&lt;br&gt;
Move Order of Coins&lt;/p&gt;

&lt;pre&gt;&lt;code&gt;0 G S C G S C G S C
1 G S G S C G S C C
2 G S C G S C C S G
3 G S C G S C C S G
4 G S C C S G S C G
5 G S C C S C S G G
6 G S C C C S S G G
7 C C C S S G G S G


8 C C C S S S G G G
&lt;/code&gt;&lt;/pre&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2865/three-gold-coins-three-silver-coins-and-three-copper-coins-are?show=2866#a2866</guid>
<pubDate>Thu, 29 Mar 2012 14:31:31 +0000</pubDate>
</item>
<item>
<title>Answered: Three convicts are brought into the warden's office. He says he can parole</title>
<link>http://www.prepjunk.com/2863/three-convicts-are-brought-into-wardens-office-says-parole?show=2864#a2864</link>
<description>&lt;p&gt;The color of blind man's hat is Red.&lt;br&gt;
It is sure that the first man saw either both Red hats or one White&lt;br&gt;
hat and one Red hat. There are 6 such possibilities:&lt;br&gt;
1) R R R&lt;br&gt;
2) R R W&lt;br&gt;
3) R W R&lt;br&gt;
4) W R R&lt;br&gt;
5) W R W&lt;br&gt;
6) W W R&lt;br&gt;
In all above possibilities, the first man won't be sure of the color of his hat.&lt;br&gt;
Now, the second man knows that the first man saw either both Red hats or one White hat and one Red hat. And, he also knows that its one of the above 6 possibilities. (like we know ;)) But he says, &quot;I don't know&quot;. That means that (2) and (5) are not the possibilities as in either case he would be sure of the color of his hat (Red) by just&lt;br&gt;
looking at the third man's color of hat (White).&lt;br&gt;
Now, the blind man knows that there are just 4 possibilities - (1),&lt;br&gt;
(3), (4), (6) - and in all, the color of his hat is Red.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2863/three-convicts-are-brought-into-wardens-office-says-parole?show=2864#a2864</guid>
<pubDate>Thu, 29 Mar 2012 14:30:43 +0000</pubDate>
</item>
<item>
<title>Answered: Pinto says, &quot;The horse is not Black.&quot;</title>
<link>http://www.prepjunk.com/2861/pinto-says-the-horse-is-not-black?show=2862#a2862</link>
<description>&lt;p&gt;&lt;strong&gt;The color of the horse can be any color other than Black and Brown.&lt;/strong&gt;&lt;br&gt;
If the color of the horse is Black - all are lying.&lt;br&gt;
If the color of the horse is Brown - all are telling truth.&lt;br&gt;
Thus, &lt;strong&gt;the horse is neither Black nor Brown.&lt;/strong&gt;&lt;br&gt;
If the color of the horse is Grey - Pinto and Sandy are telling truth whereas Andy&lt;br&gt;
is lying.&lt;br&gt;
If the color of the horse is other than Black, Brown and Grey - Pinto is telling truth&lt;br&gt;
whereas Sandy and Andy are lying.&lt;br&gt;
You must have noticed that for the given conditions, Pinto is always telling truth&lt;br&gt;
whereas Andy is always lying&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2861/pinto-says-the-horse-is-not-black?show=2862#a2862</guid>
<pubDate>Thu, 29 Mar 2012 14:28:30 +0000</pubDate>
</item>
<item>
<title>Answered: Suppose five bales of hay are weighed two at a time in all possible ways. The</title>
<link>http://www.prepjunk.com/2859/suppose-five-bales-are-weighed-two-time-all-possible-ways-the?show=2860#a2860</link>
<description>&lt;p&gt;They weigh 54, 56, 58, 59, 62 pounds.&lt;br&gt;
Let's assume that the weight of five bales are B1, B2, B3, B4 and B5 pounds&lt;br&gt;
respectively. Also, B1 &amp;lt;= B2 &amp;lt;= B3 &amp;lt;= B4 &amp;lt;= B5&lt;br&gt;
It is given that five bales of hay are weighed two at a time in all possible ways. It&lt;br&gt;
means that each of the bale is weighted four times.&lt;br&gt;
Thus,&lt;br&gt;
4 * (B1 + B2 + B3 + B4 + B5) = (110 + 112 + 113 + 114 + 115 + 116 + 117 + 118 +&lt;br&gt;
120 + 121)&lt;br&gt;
4 * (B1 + B2 + B3 + B4 + B5) = 1156&lt;br&gt;
(B1 + B2 + B3 + B4 + B5) = 289 pounds&lt;br&gt;
Now, B1 and B2 must add to 110 as they are the lightest one.&lt;br&gt;
B1 + B2 = 110&lt;br&gt;
Similarly, B4 and B5 must add to 121 as they are the heaviest one.&lt;br&gt;
B4 + B5 = 121&lt;br&gt;
From above three equation, we get B3 = 58 pounds&lt;br&gt;
Also, it is obvious that B1 and B3 will add to 112 - the next possible higher value.&lt;br&gt;
Similarly, B3 and B5 will add to 120 - the next possible lower value.&lt;br&gt;
B1 + B3 = 112&lt;br&gt;
B3 + B5 = 120&lt;br&gt;
Substituting B3 = 58, we get B1 = 54 and B5 = 62&lt;br&gt;
From 2 &amp;amp; 3 equations, we get B2 = 56 and B4 = 59&lt;br&gt;
Hence, the weight of five bales are 54, 56, 58, 59 and 62 pounds.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2859/suppose-five-bales-are-weighed-two-time-all-possible-ways-the?show=2860#a2860</guid>
<pubDate>Thu, 29 Mar 2012 14:27:51 +0000</pubDate>
</item>
<item>
<title>Answered: You have 3 points labelled A, B and C. You then have another 3 points labelled</title>
<link>http://www.prepjunk.com/2857/have-points-labelled-you-then-have-another-points-labelled?show=2858#a2858</link>
<description>&lt;p&gt;There is no solution to it, if you consider 2 dimensions. It is impossible to join&lt;br&gt;
each of points A, B and C with points 1, 2 and 3 without lines crossing each&lt;br&gt;
other.&lt;br&gt;
There is solution, if you consider 3 dimensions. Consider a circular base and a line perpendicular to it passing from the center. Now take any 3 points along the perimeter of the circular base as points 1, 2 and 3. Similarly take any 3 points along the perpendicular line as points A, B and C. Now it is quite simple to join each of points A, B and C with points 1, 2 and 3 without any of the lines crossing each other.&lt;br&gt;
The other possible 3D structure is Pyramid. Take points 1, 2 and 3 as a vertices of the triangular base and points A, B and C along the height of the Pyramid which is perpendicular to the triangular base and passing through the apex.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2857/have-points-labelled-you-then-have-another-points-labelled?show=2858#a2858</guid>
<pubDate>Thu, 29 Mar 2012 14:27:23 +0000</pubDate>
</item>
<item>
<title>Answered: If a bear eats 65 pounds in fish every day EXCEPT every 6th day which it only eats 45 pounds of fish. If the bear continues this, how many pounds of fish will it eat in 200 days?</title>
<link>http://www.prepjunk.com/2855/pounds-every-except-every-which-pounds-fish-continues-pounds?show=2856#a2856</link>
<description>&lt;p&gt;The bear will eat 12,340 pounds of fish in 200 days.&lt;/p&gt;

&lt;p&gt;It is given that on every 6th day bear eats 45 pounds of fish i.e. on day number 6,&lt;br&gt;
12, 18, 24,  …  .. .. . 192, 198 the bear eats 45 pounds of fish.&lt;br&gt;
Total number of 6th days = 200/6 = 33 (the bear eats 45 pounds)&lt;br&gt;
Hence, the normal days are = 200 - 33 = 167 (the bear eats 65 pounds)&lt;br&gt;
Thus, in 200 days, the bear will eat&lt;/p&gt;

&lt;p&gt;= (167)  *  (65) + (33)  *  (45)&lt;br&gt;
= 10855 + 1485&lt;br&gt;
= 12,340 pounds&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2855/pounds-every-except-every-which-pounds-fish-continues-pounds?show=2856#a2856</guid>
<pubDate>Thu, 29 Mar 2012 14:26:46 +0000</pubDate>
</item>
<item>
<title>Answered: A frog starts climbing 15 feet wall. Each hour he climbs 3 feet and rests for 30</title>
<link>http://www.prepjunk.com/2853/frog-starts-climbing-feet-wall-each-hour-climbs-feet-and-rests?show=2854#a2854</link>
<description>&lt;p&gt;19 hours&lt;br&gt;
A frog climbs 1 foot per 1 1/2 hours as during 30 minutes rest he slips back 2 feet. This way he will climb 12 feet in 18 hours. In next hour he will climb 3 more feet i.e. he will complete 15 feet in 19 hours and will reach the top of the wall&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2853/frog-starts-climbing-feet-wall-each-hour-climbs-feet-and-rests?show=2854#a2854</guid>
<pubDate>Thu, 29 Mar 2012 14:25:53 +0000</pubDate>
</item>
<item>
<title>Answered: A man is on a search for Atlantis and comes upon an island where all the</title>
<link>http://www.prepjunk.com/2851/man-search-for-atlantis-and-comes-upon-an-island-where-all-the?show=2852#a2852</link>
<description>&lt;p&gt;There are 2 answers to it:&lt;br&gt;
&lt;strong&gt;Answer&lt;/strong&gt; I&quot;Is the statement that you are reliable equivalent to the statement that&lt;br&gt;
Atlantis is still around?&quot;&lt;br&gt;
&lt;strong&gt;Answer&lt;/strong&gt; II&quot;Do you believe that the Statement that you are a Fairy is equivalent to&lt;br&gt;
the statement that Atlantis is still around?&quot;&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2851/man-search-for-atlantis-and-comes-upon-an-island-where-all-the?show=2852#a2852</guid>
<pubDate>Thu, 29 Mar 2012 14:25:04 +0000</pubDate>
</item>
<item>
<title>Answered: Replace each letter by a digit. Each letter must be represented by the same digit</title>
<link>http://www.prepjunk.com/2849/replace-each-letter-digit-letter-must-represented-same-digit?show=2850#a2850</link>
<description>&lt;p&gt;Use trial and error. 0 =1, N = 8 ,E = 2, T = 7&lt;/p&gt;

&lt;pre&gt;&lt;code&gt;1 8 2
1 8 2
1 8 2
+ 1 8 2
------
7 2 8
&lt;/code&gt;&lt;/pre&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2849/replace-each-letter-digit-letter-must-represented-same-digit?show=2850#a2850</guid>
<pubDate>Thu, 29 Mar 2012 14:24:03 +0000</pubDate>
</item>
<item>
<title>Answered: What is the smallest number which when divided by 10 leaves a remainder of 9,</title>
<link>http://www.prepjunk.com/2847/what-the-smallest-number-which-when-divided-leaves-remainder?show=2848#a2848</link>
<description>&lt;p&gt;The smallest such number is 2519.&lt;br&gt;
The easiest way is to find the Least Common Multiple (LCM) of 2, 3, 4, 5, 6, 7, 8&lt;br&gt;
and 9. And subtract 1 from it.&lt;br&gt;
The LCM of 2, 3, 4, 5, 6, 7, 8 and 9 is given by 2520. Hence, the required&lt;br&gt;
number is 2519&lt;br&gt;
Brain Teaser No : 00114&lt;br&gt;
Everyday in his business a merchant had to weigh amounts from 1 kg to 121&lt;br&gt;
kgs, to the nearest kg. What are the minimum number of different weights&lt;br&gt;
required and how heavy should they be?&lt;br&gt;
The minimum number is 5 and they should weigh 1, 3, 9, 27 and 81 kgs&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2847/what-the-smallest-number-which-when-divided-leaves-remainder?show=2848#a2848</guid>
<pubDate>Thu, 29 Mar 2012 14:23:15 +0000</pubDate>
</item>
<item>
<title>Answered: Mrs. F has invited several wives of delegates to the United Nations for an</title>
<link>http://www.prepjunk.com/2845/mrs-invited-several-wives-delegates-the-united-nations-for?show=2846#a2846</link>
<description>&lt;p&gt;&lt;strong&gt;126 distinct seating arrangements are possible.&lt;/strong&gt;&lt;br&gt;
Mrs. J and Mrs. H must be together and Mrs. J must be at the end as Mrs. J&lt;br&gt;
speaks only Russian and Mrs. H is the only other Russian speaker.&lt;br&gt;
Mrs. L speaks only French and there are two others - Mrs. G and Mrs. M - who&lt;br&gt;
speak French. Here there are 2 cases.&lt;br&gt;
• CASE A : Mrs. L is at the other end&lt;br&gt;
If Mrs. L is at the other end, either Mrs. G or Mrs. M must seat next to her.&lt;br&gt;
o CASE AA : Mrs. G seats next to Mrs. L&lt;br&gt;
Then, Mrs. M must seat next to Mrs. G and Mrs. N must seat next to Mrs. M. This is because Mrs. M speaks French and German, and&lt;br&gt;
Mrs. N is the only other German speaker. Thus, the possible seating arrangement is JHxxxNMGL, where x is the English&lt;br&gt;
speakers. Mrs. F, Mrs. K and Mrs. O can be arranged in remaining 3 positions in 3! different ways i.e. 6 ways.&lt;br&gt;
o CASE AB : Mrs. M seats next to Mrs. L&lt;br&gt;
If so, then either Mrs. N or Mrs. G must seat next to Mrs. M &lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2845/mrs-invited-several-wives-delegates-the-united-nations-for?show=2846#a2846</guid>
<pubDate>Thu, 29 Mar 2012 14:22:17 +0000</pubDate>
</item>
<item>
<title>Answered: There are N secret agents each know a different piece of secret information.</title>
<link>http://www.prepjunk.com/2843/there-secret-agents-know-different-piece-secret-information?show=2844#a2844</link>
<description>&lt;p&gt;(2N - 3) telephone calls, for N = 2,3&lt;br&gt;
(2N - 4) telephone calls, for N &amp;gt; 3&lt;br&gt;
Divide the N secret agents into two groups. If N is odd, one group will contain&lt;br&gt;
one extra agent.&lt;br&gt;
Consider first group: agent 1 will call up agent 2, agent 2 will call up agent 3 and so on. Similarly in second group, agent 1 will call up agent 2, agent 2 will call up agent 3 and so on. After (N - 2) calls, two agents in each the group will know anything that anyone knew in his group, say they are Y1 &amp;amp; Y2 from group 1 and Z1 &amp;amp; Z2 from group 2.&lt;br&gt;
Now, Y1 will call up Z1 and Y2 will call up Z2. Hence, in next two calls total of 4 agents will know everything.&lt;br&gt;
Now (N - 4) telephone calls are reqiured for remaining (N - 4) secret agents.&lt;br&gt;
Total telephone calls require are&lt;br&gt;
= (N - 2) + 2 + (N - 4)&lt;br&gt;
= 2N - 4&lt;br&gt;
Let's take an example. Say there are 4 secret agents W, X, Y &amp;amp; Z. Divide them&lt;br&gt;
into two groups of 2 each i.e. (W, X) and (Y, Z). Here, 4 telephone calls are&lt;br&gt;
required.&lt;br&gt;
1. W will call up X.&lt;br&gt;
2. Y will call up Z.&lt;br&gt;
3. W, who knows WX will call up Y, who knows YZ.&lt;br&gt;
4. X, who knows WX will call up Z, who knows YZ.&lt;/p&gt;

&lt;p&gt;Take an another example. Say there are 5 secret agents J, K, L, M &amp;amp; N. Divide&lt;br&gt;
them into two groups i.e. (J, K) and (L, M, N). Here, 6 telephone calls are&lt;br&gt;
required.&lt;br&gt;
1. J will call up K.&lt;br&gt;
2. L will call up M.&lt;br&gt;
3. M will call up N. Now M and N know LMN.&lt;br&gt;
4. J, who knows JK will call up M, who knows LMN.&lt;br&gt;
5. K, who knows JK will call up N, who knows LMN.&lt;br&gt;
6. L will call up to anyone of four.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2843/there-secret-agents-know-different-piece-secret-information?show=2844#a2844</guid>
<pubDate>Thu, 29 Mar 2012 14:20:42 +0000</pubDate>
</item>
<item>
<title>Answered: A person travels on a cycle from home to church on a straight road with wind</title>
<link>http://www.prepjunk.com/2841/person-travels-cycle-from-home-church-straight-road-with-wind?show=2842#a2842</link>
<description>&lt;p&gt;Let distance between home and church is D.&lt;br&gt;
A person took 4 hours to reach church. So speed while travelling towards church&lt;br&gt;
is D/4.&lt;br&gt;
Similarly, he took 3 hours to reach home. So speed while coming back is D/3.&lt;br&gt;
There is a speed difference of 7 * D/12, which is the wind helping person in 1&lt;br&gt;
direction, &amp;amp; slowing him in the other direction. Average the 2 speeds, &amp;amp; you have&lt;br&gt;
the speed that person can travel in no wind, which is 7 * D/24.&lt;br&gt;
Hence, person will take D / (7 * D/24) hours to travel distance D which is 24/7&lt;br&gt;
hours.&lt;br&gt;
Answer is 3 hours 25 minutes 42 seconds&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2841/person-travels-cycle-from-home-church-straight-road-with-wind?show=2842#a2842</guid>
<pubDate>Thu, 29 Mar 2012 14:20:11 +0000</pubDate>
</item>
<item>
<title>Answered: Sam and Mala have a conversation. • Sam says I am certainly not over 40</title>
<link>http://www.prepjunk.com/2839/sam-and-mala-have-conversation-sam-says-certainly-not-over-40?show=2840#a2840</link>
<description>&lt;p&gt;&lt;strong&gt;Sam is 41 and Mala is 37.&lt;/strong&gt;&lt;br&gt;
Let's invert the teaser and read it like this :&lt;br&gt;
• Sam says I am certainly over 40&lt;br&gt;
• Mala says I am not 38 and you are atmost 4 years older than me&lt;br&gt;
• Now Sam says you are atmost 38&lt;br&gt;
From first statement it is clear that Sam is over 40. Also, from next 2 statements&lt;br&gt;
it is clear that Mala is less then 38. Hence the possibilities are :&lt;br&gt;
Sam = 41, 42, 43, 44, 45, ......&lt;br&gt;
Mala = 37, 36, 35, 34, 33, ......&lt;br&gt;
It also says that the difference between their age is maximum 4 years. Hence,&lt;br&gt;
there is only one possible pair i.e. 41 and 37, all other combination have&lt;br&gt;
differences more then 4.&lt;br&gt;
Hence the answer - Sam is 41 and Mala is 37.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2839/sam-and-mala-have-conversation-sam-says-certainly-not-over-40?show=2840#a2840</guid>
<pubDate>Thu, 29 Mar 2012 14:19:40 +0000</pubDate>
</item>
<item>
<title>Answered: Jack and Jill are playing cards for a stake of $1 a game. At the end of the</title>
<link>http://www.prepjunk.com/2837/jack-and-jill-are-playing-cards-for-stake-%241-game-the-end-of-the?show=2838#a2838</link>
<description>&lt;p&gt;They played total of 9 games. Jack won 3 games and Jill won 6 games.&lt;br&gt;
If Jack has won three games and Jill has won $3, she lost a dollar for each loss,&lt;br&gt;
therefore she has won 6 and lost 3 to make $3 and he won the other 3 that she&lt;br&gt;
lost!&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2837/jack-and-jill-are-playing-cards-for-stake-%241-game-the-end-of-the?show=2838#a2838</guid>
<pubDate>Thu, 29 Mar 2012 14:19:02 +0000</pubDate>
</item>
<item>
<title>Answered: bought a car with a peculiar 5 digit numbered licence plate which on reversing</title>
<link>http://www.prepjunk.com/2835/bought-peculiar-digit-numbered-licence-plate-which-reversing?show=2836#a2836</link>
<description>&lt;p&gt;Only 0 1 6 8 and 9 can be read upside down. So on rearranging these digits we&lt;br&gt;
get the answer as 10968.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2835/bought-peculiar-digit-numbered-licence-plate-which-reversing?show=2836#a2836</guid>
<pubDate>Thu, 29 Mar 2012 14:18:28 +0000</pubDate>
</item>
<item>
<title>Answered: A farmer needs 8 gallons of water. He has only three unmared buckets, two 6 gallon and one 11 gallon bucket.</title>
<link>http://www.prepjunk.com/2833/farmer-gallons-three-unmared-buckets-gallon-gallon-bucket?show=2834#a2834</link>
<description>&lt;p&gt;Here is the solution with 10 gallon water wastage.&lt;br&gt;
&lt;strong&gt;OPERATIONS 6 6 11&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;Fill 6 gallon bucket with water 6 0 0&lt;br&gt;
Empty 6 gallon bucket into 11 gallon bucket 0 0 6&lt;br&gt;
Fill 6 gallon bucket with water 6 0 6&lt;br&gt;
Fill 11 gallon bucket to full using filled 6 gallon bucket. This will leave 1&lt;br&gt;
gallon water in 6 gallon bucket 1 0 11&lt;br&gt;
Empty 11 gallon bucket into second 6 gallon bucket. 1 6 5&lt;br&gt;
Empty 11 gallon bucket - wastage of 5 gallon water 1 6 0&lt;br&gt;
Empty second 6 gallon bucket into 11 gallon bucket 1 0 6&lt;br&gt;
Fill seccond 6 gallon bucket with water 1 6 6&lt;br&gt;
Fill 11 gallon bucket to full using filled second 6 gallon bucket. This will&lt;br&gt;
leave 1 gallon water in second 6 gallon bucket 1 1 11&lt;br&gt;
Fill first 6 gallon bucket with 1 gallon water which is in second 6 gallon&lt;br&gt;
bucket 2 0 11&lt;br&gt;
Empty 11 gallon bucket into second 6 gallon bucket. 2 6 5&lt;br&gt;
Empty 11 gallon bucket - wastage of 5 gallon water 2 6 0&lt;br&gt;
Fill 11 gallon bucket with water in both the 6 gallon buckets 0 0 11&lt;br&gt;
I&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2833/farmer-gallons-three-unmared-buckets-gallon-gallon-bucket?show=2834#a2834</guid>
<pubDate>Thu, 29 Mar 2012 14:17:53 +0000</pubDate>
</item>
<item>
<title>Answered: Consider a chessboard with a single Rook. A Rook can move any number of</title>
<link>http://www.prepjunk.com/2831/consider-chessboard-with-single-rook-rook-can-move-any-number?show=2832#a2832</link>
<description>&lt;p&gt;&lt;strong&gt;16 moves&lt;/strong&gt;&lt;br&gt;
As a Rook can move any number of square sideways/forward, but not diagonally and there are 8 rows and 8 columns on the chessboard; the Rook needs minimum 16 moves to pass over all the squares and return to the original position.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2831/consider-chessboard-with-single-rook-rook-can-move-any-number?show=2832#a2832</guid>
<pubDate>Thu, 29 Mar 2012 14:17:08 +0000</pubDate>
</item>
<item>
<title>Answered: 4 men can dig 4 holes in 4 days. How many hours does it take for 1 man to dig half a hole?</title>
<link>http://www.prepjunk.com/2829/men-can-dig-holes-days-many-hours-does-take-for-man-dig-half-hole?show=2830#a2830</link>
<description>&lt;p&gt;&lt;strong&gt;There is nothing like &quot;HALF HOLE&quot;.&lt;/strong&gt;&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2829/men-can-dig-holes-days-many-hours-does-take-for-man-dig-half-hole?show=2830#a2830</guid>
<pubDate>Thu, 29 Mar 2012 14:16:41 +0000</pubDate>
</item>
<item>
<title>Answered: Jim lies a lot. He tells the truth on only one day in a week.</title>
<link>http://www.prepjunk.com/2827/jim-lies-a-lot-he-tells-the-truth-on-only-one-day-in-a-week?show=2828#a2828</link>
<description>&lt;p&gt;&lt;strong&gt;Jim tells the truth on Tuesday.&lt;/strong&gt;&lt;br&gt;
As Jim tells truth only on one day in a week, his statement on day 1 and day 3&lt;br&gt;
both can not be false. Otherwise he tells truth on more than one days in a week.&lt;br&gt;
Also, all three statements are mad on three consecutive days, statement made&lt;br&gt;
on day 1 and day 3 both can not be true. Thus, either the statement made on day 1 or day 3 is true and other is false. Also, the statement made on day 2 must be false i.e. day 1 is not Saturday, Friday or Wednesday.&lt;br&gt;
Let's assume that the statement 1 is true. Then from the statement 3, day 1 must be either Friday or Wednesday. But it is already deduced that day 1 is not Saturday, Friday or Wednesday.&lt;br&gt;
Hence, the statement made on day 1 is false and the last statement is true. Then from &lt;br&gt;
the statement 1, day 3 must be either Monday or Tuesday. But it is already deduced that day 1 can not be Saturday i.e. day 3 can't be Monday. Hence, Jim tells the truth on Tuesday.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2827/jim-lies-a-lot-he-tells-the-truth-on-only-one-day-in-a-week?show=2828#a2828</guid>
<pubDate>Thu, 29 Mar 2012 14:16:17 +0000</pubDate>
</item>
<item>
<title>Answered: Last Saturday Milan went for the late night show and came late. In the morning</title>
<link>http://www.prepjunk.com/2825/last-saturday-milan-went-for-late-night-show-came-late-morning?show=2826#a2826</link>
<description>&lt;p&gt;&lt;strong&gt;Milan saw BOBBY.&lt;/strong&gt;&lt;br&gt;
The six movie names are - MONEY, JOHNY, BABLU, BHABI, ROBOT and&lt;br&gt;
BUNNY.&lt;br&gt;
Compare MONEY and JOHNY. They have O common at the second place and Y&lt;br&gt;
common at the fifth place. Also, they can't have two different letters each,&lt;br&gt;
common with the required movie as the letters in remaining three places are all different. Thus, the required movie must have either O at the second place or Y&lt;br&gt;
at the fifth place or both.&lt;br&gt;
Similarly, comparing JOHNY and BUNNY - the required movie must have either&lt;br&gt;
N at the fourth place or Y at the fifth place or both. Also, comparing MONEY and&lt;br&gt;
BUNNY - the required movie must have either N at the third place or Y at the fifth&lt;br&gt;
place or both.&lt;br&gt;
From the above 3 deduction, either Y is at fifth place or O is at the second place&lt;br&gt;
and N is at the third &amp;amp; fourth place. The later combination is not possible as BABLU, BHABI &amp;amp; ROBOT will need at least 3 other letters which makes the required movie 6 letter long. Hence, the required movie must have Y at the fifth place.&lt;br&gt;
Now Y is not there in BABLU and BHABI at the fifth place and they have only B common at the first place. Hence, B must be the first letter.&lt;br&gt;
As B is at the first place and Y is at the fifth place and every movie has exactly 2&lt;br&gt;
letters common with the required movie. From BUNNY, the required movie do not have U at the second place and N at the third and fourth place. Now looking at JOHNY and MONEY, they must have O common at the second place. &lt;br&gt;
Using the same kind of arguments for BABLU, BHABI and ROBOT, we can conclude that Milan saw BOBBY.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2825/last-saturday-milan-went-for-late-night-show-came-late-morning?show=2826#a2826</guid>
<pubDate>Thu, 29 Mar 2012 14:15:44 +0000</pubDate>
</item>
<item>
<title>Answered: Who is the Youngest?</title>
<link>http://www.prepjunk.com/2823/who-is-the-youngest?show=2824#a2824</link>
<description>&lt;p&gt;Discard whoever are older than someone.&lt;br&gt;
From (1) Gurmit is younger than Dinesh and Farukh.&lt;br&gt;
From (5) Jatin is younger than Irfan and Gurmit.&lt;br&gt;
From (2) Eshrat is younger than Jatin and Chandu.&lt;br&gt;
From above 3 deductions, Eshrat is younger than Dinesh, Farukh, Irfan, Gurmit,&lt;br&gt;
Jatin and Chandu.&lt;br&gt;
Also,&lt;br&gt;
From (3) Chandu is younger than Amit and Irfan.&lt;br&gt;
From (4) Hemant is younger than Farukh and Bhavin.&lt;br&gt;
From (6) Gurmit is younger than Hemant.&lt;br&gt;
From above 3 deductions, Gurmit is younger than Farukh, Bhavin and Hemant.&lt;br&gt;
Also, Chandu is younger than Amit and Irfan. But as seen earlier, Eshrat is&lt;br&gt;
younger than Gurmit and Chandu.&lt;br&gt;
Hence, Eshrat is the youngest.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2823/who-is-the-youngest?show=2824#a2824</guid>
<pubDate>Thu, 29 Mar 2012 14:14:52 +0000</pubDate>
</item>
<item>
<title>Answered: A man was looking at a portrait. Someone asked him, &quot;Whose picture are you</title>
<link>http://www.prepjunk.com/2821/was-looking-portrait-someone-asked-him-whose-picture-are-you?show=2822#a2822</link>
<description>&lt;p&gt;The man is looking at his FATHER's portrait.&lt;br&gt;
&quot;my father's son&quot; is the man himself as he do not have any brothers and sisters.&lt;br&gt;
So the statement reduces to &quot;this man's son is myself.&quot; Now it is clear that the portrait is of his father.&lt;br&gt;
Given the following facts:&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2821/was-looking-portrait-someone-asked-him-whose-picture-are-you?show=2822#a2822</guid>
<pubDate>Thu, 29 Mar 2012 14:14:29 +0000</pubDate>
</item>
<item>
<title>Answered: In the village called TALAJA, only three TV channels are available - Moon</title>
<link>http://www.prepjunk.com/2819/the-village-called-talaja-only-three-channels-available-moon?show=2820#a2820</link>
<description>&lt;p&gt;&lt;strong&gt;300 viewers watch all three channels.&lt;/strong&gt;&lt;br&gt;
Let's assume that total X viewers watch all three channels.&lt;br&gt;
total viewers who watch only Moon Plus and Mony = 500-X&lt;br&gt;
total viewers who watch only Moon Plus and Mee TV = 800-X&lt;br&gt;
total viewers who watch only Mony and Mee TV = 1000-X&lt;br&gt;
total viewers who watch only Moon Plus&lt;br&gt;
= 1500 - (500-X) - (800-X) - X&lt;br&gt;
= 200 + X&lt;br&gt;
total viewers who watch only Mony&lt;br&gt;
= 2000 - (500-X) - (1000-X) - X&lt;br&gt;
= 500 + X&lt;br&gt;
total viewers who watch only Mee TV&lt;br&gt;
= 2500 - (1000-X) - (800-X) - X&lt;br&gt;
= 700 + X&lt;br&gt;
We know that total viewers are 4000. Summing up all 7 values,&lt;br&gt;
X + (500 - X) + (800 - X) + (1000 - X) + (200 + X) + (500 + X) + (700 + X) = 4000&lt;br&gt;
X + 3700 = 4000&lt;br&gt;
X = 300&lt;br&gt;
Hence, total 300 viewers watch all three channels.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2819/the-village-called-talaja-only-three-channels-available-moon?show=2820#a2820</guid>
<pubDate>Thu, 29 Mar 2012 14:13:28 +0000</pubDate>
</item>
<item>
<title>Answered: The secret agent X emailed some code to his head office. They are &quot;RADAR,</title>
<link>http://www.prepjunk.com/2817/the-secret-agent-emailed-some-code-head-office-they-are-radar?show=2818#a2818</link>
<description>&lt;p&gt;The fake code-word is MOTOR.&lt;br&gt;
All the code-words except MOTOR are Palindromes.&lt;/p&gt;
</description>
<category>Puzzle</category>
<guid isPermaLink="true">http://www.prepjunk.com/2817/the-secret-agent-emailed-some-code-head-office-they-are-radar?show=2818#a2818</guid>
<pubDate>Thu, 29 Mar 2012 14:12:56 +0000</pubDate>
</item>
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