Rationale: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/3
15 women's 1 day work = (1/3- 10/100) = 7/30
1 woman's 1 day work = 7/450
1 woman alone can complete the work in 64 2/7 days.
The answer: (B)
Question: 10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 1 2/7 days
(B) 64 2/7 days
(C) 1 7/7 days
(D) 1 8/7 days
(E) 62 2/5 days
Reasoning: Distance travelled = 140 + 160m = 300m
Speed = 60 * 5/8 = 50/3m
Time = 300 * 3/50 = 18 Seconds
Ans: (B)
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?
Options:
(A) 34 Seconds
(B) 18 Seconds
(C) 41 Seconds
(D) 24 Seconds
(E) 29 Seconds
Rationale: Largest 4 digit number is 9999
After doing 9999 98 we get remainder 3
Hence largest 4 digit number exactly divisible by 98 = 9999 - 3 = 9996
The answer: (E)
Question: Calculate the largest 4 digit number which is exactly divisible by 98?
Options:
(A) 9800
(B) 9898
(C) 9702
(D) 9604
(E) 9996
Reasoning: Time taken by leak to empty tank = 1/(1/16-1/24) = 48 hrs
Ans: (D)
Question: A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?
Options:
(A) 12 hrs
(B) 24 hrs
(C) 36 hrs
(D) 48 hrs
(E) 42 hrs
Rationale: Since average price of a pencil = 2
Price of 75 pencils = 150
Price of 30 pens = (510 150) = 360
Average price of a pen = 36060 = 12
The answer: (C)
Question: 30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) cannot be determined
(E) None of the above
Rationale: Area of an equilateral triangle = 3/4 S2
If S = 8, Area of triangle = 3/4 * 8 * 8 = 163 cm2;
The answer: (C)
Question: What is the are of an equilateral triangle of side 8 cm?
Options:
(A) 645
(B) 649
(C) 163
(D) 643
(E) 642