Ques: A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 75
(B) 65
(C) 25
(D) 288
(E) 212
Ans: (A)
CoT: Speed = 30*(5/18) m/sec = 25/3 m/sec
Length of Train (Distance) = Speed * Time
(25/3) * 9 = 75 meter

Ques: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 30
(B) 38
(C) 41
(D) 29
(E) 31
Ans: (A)
CoT: Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out.

Ques: An businessman earns an income of Re 2 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Options:
(A) 21
(B) 22
(C) 36
(D) 20
(E) 30
Ans: (C)
CoT: 2nd day he earns = 2(2 2)
3rd day he earns = 2(3 2)
On 20th day he earns 2(20 -2) = 36 rupees

Ques: A no.when divided by 225 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 11
(E) 13
Ans: (E)
CoT: 225 + 43 = 268/17 = 13 (Remainder)