Section -1 Quantitative Aptitude and Logical Reasoning (25 questions in 30 minutes)
Directions for Questions 1 to 5: Six friends Ram, Balram, Parshuram, Tukaram, Shyam and
Ghanshyam have done their graduation from six IITs Roorkee, Bombay, Kharagpur, Kanpur, Delhi
and Chennai, not necessarily in same order. The hometown of three of them is Chandigarh, two of
them is Panchkula and sixth one is from Mohali.
Passout from Kharagpur is not from Chandigarh
IITians from Roorkee and Bombay have their hometown Panchkula and the initials of their names and college cities are not same.
Shyam is from IIT Delhi has hometown at Chandigarh. Ghanshyam is his childhood friend from the same city.
Parshuram and Ghanshyam are passouts from IIT Kharagpur and Kanpur.
Tukaram is IIT Chennai passout.
1. Who is from IIT Kharagpur?
1] Ram
2] Ghanshyam
3] Parshuram
4] Shyam
2. Who is from Mohali?
1] Balram
3] Tukaram
2] Parshuram
4] cannot be determined
3. Who is surely not from Chandigarh?
1] Ram
2] Ghanshyam
3] Parshuram
4] Shyam
4. From where Parshuram has graduated?
1] IIT Kanpur
2] IIT Bombay
3] IIT Delhi
4] None of these
5. Which of the following statements is redundant?
1] 1
2] 2
3] 3
4] none of these
Directions for Question 6 to 8: Answer the questions on the basis of the information given below.
Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share twice, no apples were left.
6. How many apples were there?
1] 61
2] 63
3] 125
4] 127
7. How many apples did A get?
1] 18
2] 36
3] 40
4] none of these
8. How many apples did B get?
1] 20
2] 18
3] 12
4] can’t be determined.
Directions for questions 9 to 13: Refer to the table below and answer the questions that follow.
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9. For how many crops the target has not been achieved?
1] 5
2] 6
3] 3
4] 4
10. What has been total production of Cotton, Jute and Mesta in 2010-11(in billion kgs)?
1] 7.5825
2] 5.8761
3] 1.8140
4] Data insufficient
11. Considering sugarcane and coarse cereals only, has the target been achieved?
1] Yes
2] No
3] Uncertain
4] none of these
12. What is the production of Mesta (in billion kgs)?
1] 7.5825
2] 5.8761
3] 1.8140
4] Data insufficient
13. By how much percent the target of total food grains has not been achieved?
1] 5%
2] 7.5%
3] 3.2%
4] 1.2%
14. Two shatabdis are moving towards each other with same speeds of 90 km/hr. If each of them has same length of 500 m, in how much time will they cross each other?
1] 40 sec
2] 30 sec
3] 20 sec
4] 25 sec
15. If n3 = 1367631, what is n?
1] 161
2] 129
3] 111
4] 101
16. The remainder when 13246 is divided by 168 is
1] 0
2] 1
3] 13
4]52
17. Using 5 non-collinear and 5 collinear points, how many quadrilaterals can be formed?
1]155
2]550
3]1045
4]2475
18. In a city, there are four restaurants situated at corners of a square. There are direct roads connecting each other. The shortest road is of length 10 km. What is the total length of all the roads?
1] 60 km
2] 56km
3] 68.2 km
4] 72.6 km
19. Running a loop in a code takes 25 minutes. How much time will it take to execute a code with 95 files and each of the file has 24 times this loop in it?
1] 900 hours
2] 800 hours
3] 950 hours
4] none of these
20. (24 power p) power q) = 191102976 If p and q are both integers, how many possible values of p can take?
1] 2
2] 6
3] 4
4] None of these
21. A CPU can execute 20 billion instructions in a minute. If one expression evaluation requires 80 operations, how much time will it take to execute 0.8 million operations?
1] 4.51 seconds
2] 11.52 seconds
3] 14.40 seconds
4] 16 seconds
Directions for questions 22 to 25:
Three dice are thrown together, but two of them are biased and show 1, 2 and 3 with 1/5 probability each, show 4, 5 and 6 with 2/15 probability each. The third dice is a fair one.
22. What is the probability that the sum of numbers on dice is 3?
1] 1/216
2] 1/125
3] 1/150
4] Data insufficient
23. What is the probability that the product of numbers on dice is a prime number?
1] 7/150
2] 1/18
3] 9/23
4] none of these
24. What is the probability that the sum of numbers on dice is at least 17?
1] 1/625
2] 8/675
3] 8/3375
4] 3/1216
25. If all the three dice were biased, what is the probability that the product of numbers is 180?
1] 4/625
2] 8/3375
3] 5/1024
