This set of question paper have been collected from NIT Jamshedpur (On –Campus Placement drive 2013-2014). Many students told that the types of question are not that difficult, only you have to know the proper and shortcut procedure to solve the paper. Try to solve all the paper posted in Interviewtime.in. You will clearly get an idea about the paper.
1. In the equation A + B + C + D + E = FG where FG is the two digit number whose value is 10F + G and letters A, B , C , D , E, F and G each represent different digits. If FG is as small as possible.
What is the value of G?
Ans. 0
Explanation: The minimum values substituted here are 4+5+6+7=8=30 ,
Hence G=0.
2. At 12.00 hours Ravi starts to walk from his house at 8 kms an hour. At 13.30 hours, Shankar follows him from Ravi’s house on his bicycle at 12 kms per hour. When will Ravi be 6 kms behind Paul?
Ans. 18:00 hrs
Explanation: The distances travelled by Shankar and Ravi.
Time Ravi Shankar
1.00 8 0
2.00 16 6
3.00 24 18
4.00 32 30
5.00 40 42
6.00 48 54
So at 6pm the distance between them is 6km.
3. Seven varsity basket ball players (A, B, C, D, E, F and G) are to be honoured at a special luncheon. The players will be seated on the dias in a row. A and G have to leave the luncheon early and so must be seated at the extreme right .B will receive the most valuable player’s trophy and so must be in the centre to facilitate presentation .C and D are bitter rivals and, therefore must be seated as far apart as possible.
Which of the following pair cannot occupy the seats on either side of B?
Ans. E and G
Explanation: The pair E and G cant occupy it as G will have to be at the end since he is leaving early.
4. An organization has 4 committees. Only 3 persons are members of all four committees, but every pair of committees has 4 members in common. What is the LEAST possible number of the members on any one committee?
Ans. 6
Explanation: The least number will be 6.
If it is 5 then The arrangements would be
ABCDE
ABCDF
ABCEF,but in the last arrangement it cant be possible to have 4 people common as it has to be
ABC D/E/F and some other person X.
So with 6 the arrangement would do better.
5. Aravind can do a work in 24 days. Mani can dig the same well in 36 days. Aravind, Mani and
Hari can do a work together in 8 days. Hari alone can do the work in
Ans. 18 days
6. A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these numbers of roses, the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively. On Monday, he counts 189 roses in the garden. He plucks the roses as per his plan on consecutive days and the new roses bloom as per intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?
Ans. 249
Explnation: If he plucks 7, increase is of 30 flowers.
If he plucks 6. Increase is of 30 flowers.
If again he plucks 24, decrease of 15 flowers.
And in case of 23, decrease of 5 flowers.
And option B definitely satisfies the criteria.
7. A can complete a piece of work in 8 hours, B can complete in 10 hours and C in 12 hours. If
A,B, C start the work together but A laves after 2 hours. Find the time taken by B and C to
complete the remaining work.
Ans. 2(1/11) hrs
Explanation: Total unit of the work is 120units
In 1 hour A can complete 15units
In 1 hour B can complete 12units
In 1 hour C can complete 10units
In 1 hour A+B+C can complete 37units
Therefore in 2 hours A+B+C would have completed 74units
Remaining work to be completed is 12-74=46
In 1 hour B+C can complete 22units
Therefore time taken to complete the remaining job =46/22=23/11=2(1/11)
8. A number is divided by 5,2 and 3 successively in order to get remainders of 0,1, and 2 respectively. What will be the remainders when the same number is divided by 2,3 and 5 respectively?
Ans. 1,0,4
Explanation: Let the number be X and the quotient when X is divided by 5 is Q1 and leaves the remainder ‘0’
And quotient when Q1 is divided by 2 is Q2 and leaves the remainder ‘1’
And quotient when Q2 is divided by 3 is Q3 and leaves the remainder ‘2’
Assuming any value of Q3 and solving in reverse order we will get the solution.
Let us assume here the value of Q3 as ‘0’
Therefore Q2= 2 since the remainder is 2
And Q1= 5 since the remainder is 1
Then the value of X is 25.
When 25 is successively divided by 2,3,5 leaves the remainders 1,0,4 with the quotients 12,4,0.
9.Three dice are rolled. What is the probability that you will get the sum of the numbers as 10?
Ans 27/216
Explanation: Three dice that shows the sum as 10 are as follows
(1,3,6), (1,4,5), (1,5,4), (1,6,3)
(2,2,6), (2,3,5), (2,4,4), (2,5,3), (2,6,2)
(3,1,6), (3,2,5), (3,3,4), (3,4,3), (3,5,2), (3,6,1)
(4,1,5), (4,2,4), (4,3,3), (4,4,2), (4,5,1)
(5,1,4), (5,2,3), (5,3,2), (5,4,1)
(6,1,3), (6,2,2), (6,3,1)
Therefore the probability of getting the sum of the numbers as 10 is given by 27/216
10. There are 6 people from different countries namely Germany, Italy, Britain, Spain, Poland and France. They are sitting around a table. Polish sits next to British. German sits next to Italian,or British or both. Italian does not sit next to the Frenchman. Spanish sits immediately after British. Who sits on the either side of the German?
Ans. Italian and French
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