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.
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. 273– 272 – 271 is the same as
1. 269 2. 270 3. 271 4.272
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 original 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. 21/2 2. 41/4 3. 61/6 4. 31/3
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 6x2+ 6y2 = 13xy, find x:y.
1. 2:3 2. 3:2 3. 1:2 4. 4:5
21. Walking at 3/4thof 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 1800.
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 original number divided.
1. 24 2. 20 3. 16 4. 18
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. 4th 2. 5th 3. 6th 4. 7th
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
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