Rationale: 400*(90/100)*(95/100) = 342
The answer: (C)
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 39
(B) 37
(C) 342
(D) 288
(E) 261
Reasoning: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 3 = 50 meter
Ans: (B)
Question: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 50 m
(C) 75 m
(D) 135 m
(E) 60 m
Rationale: 67 + 71 + 73 + 79 + 83 + 89 = 462/6 = 77
The answer: (B)
Question: The average of first six prime numbers greater than 65 is?
Options:
(A) 55
(B) 77
(C) 56
(D) 67
(E) 98
Reasoning: A's two day's work = 2/20 = 1/10
(A + B + C)'s one day's work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10
Work done in 3 days = (1/10 + 1/10) = 1/5
Now, 1/5 work is done in 3 days
Therefore, Whole work will be done in (3 x 5) = 15 days.
Ans: (C)
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Options:
(A) 12 days
(B) 15 days
(C) 18 days
(D) 20 days
(E) 22 days
Rationale: D = 25 * 60 + 2500 = 4000 m
T = 4000/60 * 18/5 = 240 sec = 4 mins
The answer: (A)
Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 7
(E) 9
Rationale: (x + 1)! = (x + 1) (x+2)* x!
(x + 1)!/x! = (x + 1)(x+2)
The answer: (E)
Question: Which of the following is equal to (x+2)!/x!?
Options:
(A) x-1
(B) 1+(1/x)
(C) 1
(D) x+1
(E) (x+1) (x+2)