(Ans). (A)
(Question). How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.
Options:
(A) 34
(B) 677
(C) 197
(D) 177
(E) 191
(CoT). Single digit numbers = 4
Double digit numbers = 4 x 3 = 12
Three digit numbers = 3 x 3 x 2 x 1 = 18
Total = 34


(Ans). (D)
(Question). Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?
Options:
(A) 3
(B) 5
(C) 4
(D) 7
(E) 2
(CoT). On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted


(Ans). (E)
(Question). The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 55
(B) 56
(C) 57
(D) 58
(E) 59
(CoT). 1 to 11 = 11 * 50 = 550
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 550 = 59


(Ans). (A)
(Question).
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18 days
(B) 11 days
(C) 77 days
(D) 188 days
(E) 66 days
(CoT). 8/12 + 6/x = 1
X = 18 days