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1. If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true? 1. n is even 2. n is prime 3. n is a perfect cube 4. n is odd. 2. A ladder is touching a wall and the base of the ladder is 15 m away from the wall. When the ladder is pulled away from the wall by 2 m, it becomes parallel to the ground. Find the distance of the initial point of contact of the ladder and the wall from the ground. 1. 10m 2. 8m 3. 12m 4. 17 m 3. Find the number of numbers from 1 to 100 that are divisible by 2 or 3 or 5. 1. 68 2. 74 3. 71 4. 103 4. In a party of 40 people, everyone shakes hands with all the other persons exactly once. What is the total number of handshakes happening? 1. 780 2. 820 3. 40! 4. None of these 5. 2
73
–
2
72
–
2
71
is the same as 1. 2
69
2. 2
70
3. 2
71
4.2
72
6. How many 3 digit even numbers can be formed such that if one of the digits is 5, then the next digit is 7? 1. 5 2. 9 3. 365 4. 15 7. Find the least number which when divided by 5 and 9 will leave remainders of 3 and 7 respectively. 1. 47 2. 88 3. 43 4. 92 8. In a 300m race, A beats B by 24m or 6 seconds. Find the time taken by A to finish the race. 1. 75 sec 2. 81 sec 3. 69 sec 4. 60 sec 9. A tank can be filled in x hours, but because of a leak, it takes 40 hours to fill the tank. Find x if the leak can empty the tank in 60 hours. 1. 30 2. 24 3. 36 4. 20 10. X, Y and Z have a total of Rs.224 with them. If their shares are increased by Rs.5, 9 and 2 respectively, then the ratio of their amounts is 3:2:1. Find the srcinal amount with Y. 1. Rs.71 2. Rs.115 3. Rs.38 4. Rs.120 11. A number is decreased by 20% and then increased by 40%.Find the percentage change in the number. 1. 20 2. 12 3. 60 4. 40 12. The price of 4 apples and 6 mangoes is Rs.62 and the price of 6 apples and 4 mangoes is Rs.58. Find the price of 3 apples and 5 mangoes. 1. Rs.45 2. Rs.34 3. Rs.60 4. Rs.50 13. A die and a coin are tossed simultaneously. The probability that the die showing a prime number and the coin showing a head is 1. ½ 2. 1/3 3. 2/3 4. ¼ 14. In what ratio should a class with average marks 34 be mixed with a class with average 22, so that the average of the mixed class is 31. 1. 1:3 2. 3:1 3. 2:5 4. 5:7
15. Find the value of [(0.8)
3
–
(0.2)
3
]/[(0.8)
2
+ 0.16 + (0.2)
2
]. 1. 1 2. 0.6 3. 0.64 4. 0.5 16. Find the number of divisors of 36 excluding 1 and 36. 1. 13 2. 11 3. 10 4. 7 17. Find the greatest 1. 2
1/2
2. 4
1/4
3. 6
1/6
4. 3
1/3
18. In how many ways can a person put 4 letters in 4 envelopes such that exactly three letters are in their respective envelopes? 1. 23 2. 18 3. 1 4. 0 19. How many numbers can be formed between 200 and 1200, using the digits 0, 1, 2 and 3, such that there is no repetition? 1. 48 2. 16 3. 32 4. 14 20. If 6x
2
+ 6y
2
= 13xy, find x:y. 1. 2:5 2. 3:2 3. 1:2 4. 4:5 21. Walking at 3/4
th
of his regular speed, Sanjay is 16 minutes late in reaching the office. Find the usual time that he takes to reach the office. 1. 48 min 2. 60 min 3. 36 min 4. 42 min 22. A train moves at a constant speed of 120 km/hr for one km and at 40 km/hr for the next km. Find the average speed of the train. 1. 60 kmph 2. 80 kmph 3. 64 kmph 4. 90 kmph 23. A can finish a piece of work in 10, while B can finish it in 20 days. They start working together and after 5 days, A leaves the job. Find the number of days in which B will finish the remaining work. 1. 2 2. 3 3. 4 4. 5 24. At what exact time between 5 and 6 will the two hands of a clock be at an angle of 180
0
. 1. 5.45 2. 5.56 3. 5.58 4. None of these 25. An integer is chosen at random from 1 to 100. Find the probability that it is a multiple of 5 or 8. 1. 3/10 2. 7/20 3. 2/5 4. ½ 26. A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point. 1. 190 2 .200 3. 210 4. 220 27. Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the srcinal number divided. 1. 24 2. 18 3. 16 4. 20 28. A hotel has 10 floors. Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth? 1. 4
th
2. 5
th
3. 6
th
4. 7
th
29. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other? 1. 4 times 2. thrice 3. twice 4. Cannot be determined 30. Father's age is three years more than three times the son's age. After three years, father's age will be ten years more than twice the son's age. What is the father's present age? 1. 30 2. 33 3. 36 4. 39
DIRECTIONS for questions 31 to 35:
Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements.
31.
A. Ant eaters like ants. B. Boys are ant eaters. C. Balaram is an ant eater. D. Balaram likes ants. E. Balaram may eat ants. 1. DCA 2. ADC 3. ABE 4. ACD
32.
A. All actors are handsome. B. Some actors are popular. C. Ram is handsome. D. Ram is a popular actor. E. Some popular people are handsome. 1. ACD 2. ABE 3. DCA 4. EDC
33.
A. Modern industry is technology driven. B. BTI is a modern industry. C. BTI is technology driven. D. BTI may be technology driven. E. Technology driven industry is modem. 1. ABC 2. ABD 3. BCA 4. EBC
34.
A. All Golmal islanders are blue coloured people. B. Some smart people are not blue coloured people. C. Some babies are blue coloured. D. Some babies are smart. E. Some smart people are not Golmal islanders. 1. BCD 2. ABE 3. CBD 4. None of the above
35.
A. MBAs are in great demand. B. Ram and Sita are in great demand. C. Ram is in great demand. D. Sita is in great demand. E. Ram and Sita are MBAs. 1. ABE 2. ECD 3. AEB 4. EBA
Directions for questions 3
6
to 40:
Each item is followed by two statements, A and B. Answer each question using the following instructions. Choose (a) if the question can be answered by one of the statements alone and not by the other. Choose (b) if the question can be answered by using either statement alone. Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. Choose (d) if the question cannot be answered even by using both statements together. 36.
Is country X’s GDP higher than country Y’s GDP?
A. GDPs of the countries X and Y have grown over the past five years at compounded annual rate of 5% and 6% respectively. B. Five years ago, GDP of country X was higher than that of country Y. 1.1 2. 2 3. 3 4. 4 37. Three professors A, B and C are separately given three sets of numbers to add. They were expected to find the answers to 1+1, 1+1+2, and 1+1 respectively. Their respective answers were 3, 3, and 2. How many of the professors are mathematicians? A. A mathematician can never add two numbers correctly, but can always add three numbers correctly. B. When a mathematician makes a mistake in a sum, the error is + 1 or -1. 1.1 2. 2 3. 3 4. 4 38. How many among the four students A, B, C and D have passed the exam'? A. The following is a true statement: A and B passed the exam. B. The following is a false statement: At least one among C and D has passed the exam. 1.1 2. 2 3. 3 4. 4 39.Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8? A. If 12 students were added, the teacher could put everyone in teams of 8 without any leftovers. B. The number of students in the class is currently not divisible by 8. 1.1 2. 2 3. 3 4. 4 40. Is x = y? A. (x + y)( 1 / x + 1 / y) = 4 B. (x
–
50)
2
= ( y
–
50)
2
1.1 2. 2 3. 3 4. 4 41. A, B, C, D, E and F are a group of friends from a club. There are two housewives, one lecturer, one architect, one accountant and one lawyer in the group. There are two married couples in the group. The lawyer is married to D who is a housewife. No lady in the group is either an architect or an accountant. C, the accountant, is married to F who is a lecturer. A is married to D and E is not a housewife. What is E? 1. Lawyer 2. Architect 3. Lecturer 4. Accountant

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