Question: A train 495 m long is running at a speed of 63 km/hr. In what time will it pass a bridge 240 m long?
Options:
(A) 39
(B) 40
(C) 41
(D) 42
(E) 43
Answer: Speed = 63 * 5/18 = 35/2 m/sec
Total distance covered = 495 +240 = 735 m
Required time = 700 * 2/35 = 42 sec
The answer is (D).

Question: The edge of a cube is 5a cm. Find its surface?
Options:
(A) 24a8
(B) 150a2
(C) 24a1
(D) 24a2
(E) 24a7
Answer: 6a2 = 6 * 5a * 5a = 150a2
The answer is (B).

Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, x
Options:
(A) 29
(B) 31
(C) 23
(D) 35
(E) 38
Answer: The pattern is + 3, + 5, + 3, + 5,
So the missing term is = 35 + 3 = 38.
The answer is (E).

Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Options:
(A) 2397
(B) 2401
(C) 2411
(D) 2423
(E) None of the above
Answer:
We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.
The answer is (B).