Rationale: 720 * 5/18 = 200 mps
The answer: (B)
Question: Express a speed of 720 kmph in meters per second?
Options:
(A) 120 mps
(B) 200 mps
(C) 181 mps
(D) 190 mps
(E) 125 mps
Reasoning: Here both numbers are less than 100. So they are deficient of - 4 and - 1 compared with 100. So
Ans: (E)
Question: Find 96 98
Options:
(A) 93/198
(B) 93/12
(C) 93/13
(D) 93/10
(E) 93/8
Rationale: 70 + 60 = 130 * 5/18 = 325/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/325 = 90/13 = 6 12/13 sec
The answer: (A)
Question: Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 12/13 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/9 sec
Reasoning: Principal = Rs. (100 x 5400)/(12*3) = Rs. 15000.
Ans: (A)
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was.
Options:
(A) 15000
(B) 2655
(C) 16888
(D) 6677
(E) 1871
Rationale: Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2)
The answer: (E)
Question: 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
Rationale: Division of m+n+p objects into three groups is given by (m+n+p)!m!n!p!(m+n+p)!m!n!p!
But 7 = 1 + 3 + 3 or 1 + 2 + 4 or 1 + 1 + 5
So The number of ways are (7)!1!3!3!12!(7)!1!3!3!12! + (7)!1!2!4!(7)!1!2!4! + (7)!1!1!5!12!(7)!1!1!5!12! = 70 + 105 + 21 = 196
The answer: (D)
Question: Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.
Options:
(A) 223
(B) 776
(C) 287
(D) 196
(E) 211