What number comes next in the following series? 4, 13, 40, 121, 364, x
Options:
(A) 1093
(B) 1100
(C) 1301
(D) 1400
(E) 1713

4
4 3 + 1 = 13
13 3 + 1 = 40
40 3 + 1 = 121
121 3 + 1 = 364
364 3 + 1 = 1093 So the answer is: (A).

A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 4 days
(E) 3 days

Work done by A in 5 days = 5/10 = 1/2
Remaining work = 1/2
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 1/2 * 6/1 = 3 days. So the answer is: (E).

Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 777

Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2) So the answer is: (E).

There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31
Options:
(A) 17
(B) 29
(C) 23
(D) 31
(E) 33
(7429/12673) = 17/29 Fourth Number is 29 So the answer is: (B).