Reasoning: I = (500*9*6)/100 = 270
Ans: (B)
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 288
(B) 270
(C) 999
(D) 278
(E) 121
Rationale: The number of zeroes at the end of 100! will be less than the number of zeroes at the end of 200!
Hence it would be sufficient to calculate the number of zeroes at the end of 100!
Number of zeroes = [100/5] + [100/25] + [100/125] = 20 + 4 + 0 = 24
The answer: (E)
Question: How many zeroes are there at the end of the number N, if N = 100! + 200! ?
Options:
(A) 73
(B) 49
(C) 20
(D) 48
(E) 24
Reasoning: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530.
Ans: (E)
Question: ? 370 860 1550 2440 3530
Options:
(A) 900
(B) 840
(C) 750
(D) 860
(E) 80
Rationale: 70 + 75 = 145 * 5/18 = 725/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/725 = 180/29 = 6 6/29 sec
The answer: (A)
Question: Two trains are moving at 75 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 6/29 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/19 sec
Reasoning: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 1050 = 450
Ans: (A)
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
(A) 450
(B) 200
(C) 250
(D) 300
(E) 350
Reasoning: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = C/C = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91
Ans: (B)
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Options:
(A) 92/37
(B) 33/91
(C) 71/28
(D) 91/42
(E) 91/33