If 2^4, 3^3, and 13^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 396
(E) 468

I will go with E (pending elements to match is 2^2*3^2*13^1 = 468 So the answer is: (E).

Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

On dividing 165826 by 4 we get the remainder 2, so 2 should be subtracted So the answer is: (B).

In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 250
(B) 280
(C) 300
(D) 310
(E) 360

Number of ways = 61/21 6X5X4X3X2X1 - 360 So the answer is: (E).

The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 45/2
(C) s. 16.6
(D) s. 26
(E) s. 25/2
Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 50. So, the amount with remaining 6 people = 210 - 75 = Rs. 135
The average amount with them = 135/6 = Rs. 45/2 So the answer is: (B).