1. Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.
(a) 8, 12, 5, 20
(b) 6,10,15,11
(c) 2, 8,14,9
(d) None of these
Correct Answer - c
2. What is the sum of the first 25 natural odd numbers?
(a)225
(b)125
(c)525
(d)625
Correct Answer - d
3. Find the nth number in the series is 1, -3, 5, -7
(a)0
(b)(0)*(n-1)
(c)(-1)*(2n-1)
(d)infinite
Correct Answer - c
4. How many rational numbers are there between 0 & 5
(a)2
(b)1
(c)3
(d)infinite
Correct Answer - d
5. A certain number of bullets were shared by 3 people equally. Each of them fired 4 bullets and the sum of the remaining bullets was equal to the initial share each had got. what was the initial number of bullets?
(a)20
(b)18
(c)16
(d)14
Correct Answer - b
6. Which of the following are prime numbers
(a) 119
(b) 115
(c) 127
(d) none
Correct Answer - c
7). The sum of any seven consecutive numbers is divisible by
a) 2
b) 7
c) 3
d) 11
Correct Answer - b
8) 0 < x < 1 which is greater
(a) 1/x2
(b) 1/x
(c) x
(d) x2
Correct Answer - a
9).If 13 = 13w/(1-w) ,then (2w)2 =
(a) 1/4
(b) 1/2
(c) 1
(d) 2
Correct Answer - c
10. 50 is divided into 2 parts such that the sum of their reciprocals is 1/12. Find the 2 parts.
(a) 20,30
(b) 24,26
(c) 38,12
(d) 40,10
Correct Answer - b
11. A man goes from city A to city B situated 60 kms apart by a boat. His onward journey was with the stream while the return journey was an upstream journey. It took him four and half hours to complete the round trip. If the speed of the stream is 10 km/hr, how long did it take him to complete the onward journey?
(1) 3 hours
(2) 3.5 hours
(3) 2.25 hours
(4) 1.5 hours
Correct Answer - (4)
12. An express train traveling at 72 km/hr speed crosses a goods train traveling at 45 km/hr speed in the opposite direction in half a minute. Alternatively, if the express train were to overtake the goods train, how long will it take to accomplish the task. Assume that the trains continue to travel at the same respective speeds as mentioned in case 1.
(1) Cannot be determined
(2) 30 seconds
(3) 150 seconds
(4) 130 seconds
Correct Answer - (4)
13. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?
(1) 60 km/hr
(2) 90 km/hr
(3) 120 km/hr
(4) 135 km/hr
Correct Answer - (3)
14. A man moves from A to B at the rate of 4 km/hr. Had he moved at the rate of 3.67 km/hr, he would have taken 3 hours more to reach the destination. What is the distance between A and B?
(1) 33 kms
(2) 132 kms
(3) 36 kms
(4) 144 kms
Correct Answer - (2)
15. A ship develops a leak 12 km from the shore. Despite the leak, the ship is able to move towards the shore at a speed of 8 km/hr. However, the ship can stay afloat only for 20 minutes. If a rescue vessel were to leave from the shore towards the ship, and it takes 4 minutes to evacuate the crew and passengers of the ship, what should be the minimum speed of the rescue vessel in order to be able to successfully rescue the people aboard the ship?
(1) 53 km/hr
(2) 37 km/hr
(3) 28 km/hr
(4) 44 km/hr
Correct Answer - (2)
16. A man driving his bike at 24 kmph reaches his office 5 minutes late. Had he driven 25% faster on an average he would have reached 4 minutes earlier than the scheduled time. How far is his office?
(1) 24 km
(2) 72 km
(3) 18 km
(4) Data Insufficient
Correct Answer - (3)
17. When an object is dropped, the number of feet N that it falls is given by the formula N = ½gt2 where it is the time in seconds from the time it was dropped and g is 32.2. If it takes 5 seconds for the object to reach the ground, how many feet does it fall during the last 2 seconds?
(1) 64.4
(2) 96.6
(3) 161.0
(4) 257.6
Correct Answer - (4)
18. If the wheel of a bicycle makes 560 revolutions in travelling 1.1 km, what is its radius?
(1) 31.25 cm
(2) 37.75 cm
(3) 35.15 cm
(4) 11.25 cm
Correct Answer - (1)
19. Rajesh traveled from city A to city B covering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?
(1) His average speed is the harmonic mean of the individual speeds for the two parts.
(2) His average speed is the arithmetic mean of the individual speeds for the two parts.
(3) His average speed is the geometric mean of the individual speeds for the two parts.
(4) Cannot be determined.
Correct Answer - (2)
20. Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?
(1) 356
(2) 277
(3) 357
(4) 267
Correct Answer - (3)
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