QUEST FOR QUANTITY :: IBPS CLERKS MAINS EXAM ORIENTED
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
 120 meters 180 meters 324 meters 150 meters
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
 1 4
 1 10
 7 15
 8 15

A takes twice as much time as B or thrice as much time as
C to finish a piece of work. Working together, they can finish the work in 2 days.
B can do the work alone in:
 4 days 6 days 8 days 12 days
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to
charity and A's share is Rs. 855, the total profit is:
 Rs. 1425 Rs. 1500 Rs. 1537.50 Rs. 1576
A, B and C enter into a partnership in the ratio 7/2:4/3:6/5.
After 4 months, A increases his share 50%.
If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
 Rs. 2100 Rs. 2400 Rs. 3600 Rs. 4000

A began a business with Rs. 85,000. He was joined afterwards by B with
Rs. 42,500. For how much period does B join, if the profits at the
end of the year are divided in the ratio of 3 : 1?
 4 months 5 months 6 months 8 month

Explanation:
 Speed= ( 60 x 5 )m/sec = ( 50 )m/sec. 18 3

 Length of the train = (Speed x Time) = ( 50 x 9 )m = 150 m

Explanation:
 A's 1 day's work = 1 ; 15

 B's 1 day's work = 1 ; 20

 (A + B)'s 1 day's work = ( 1 + 1 ) = 7 . 15 20 60

 (A + B)'s 4 day's work = ( 7 x 4 ) = 7 . 60 15

 Therefore, Remaining work = ( 1 - 7 ) = 8 . 15 15

Explanation:
 Suppose A, B and C take x, x and x days respectively to finish the work. 2 3

 Then, ( 1 + 2 + 3 ) = 1 x x x 2

 6 = 1 x 2
x = 12.
So, B takes (12/2) = 6 days to finish the work.
Explanation:
Let the total profit be Rs. 100.
 After paying to charity, A's share = Rs. (95 x 3 ) = Rs. 57. 5
If A's share is Rs. 57, total profit = Rs. 100.
 If A's share Rs. 855, total profit = ( 100 x 855 ) = 1500.

Explanation:
 Ratio of initial investments = ( 7 : 4 : 6 ) = 105 : 40 : 36. 2 3 5
Let the initial investments be 105x, 40x and 36x.
 A : B : C = ( 105x x 4 + 150 x 105x x 8 ) : (40x x 12) : (36x x 12) 100
= 1680x : 480x : 432x = 35 : 10 : 9.
 Hence, B's share = Rs. ( 21600 x10/54) = Rs. 4000.