SI on Rs.3200 = TD on Rs. 3248
Therefore 3200 is P.W. of Rs. 3248
=> Rs.48 is the SI on Rs. 3200 at 6%
Therefore Time = 100*48 / 3200*6 year = .25 = 1/4 year = 3 months
Water flows at the rate of 10 m per min. from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?
OPtion
1) 48 min. 15 sec.
2) 51 min. 12 sec.
3) 46 min. 35 sec.
4) 61 min. 15 sec.
5) 54 min. 22 sec.
6) 58 min. 15 sec.
7) 54 min. 6 sec.
8) 52 min. 1 sec.
9) 55 min. 15 sec.
10)None of these
Solution
Volume flown = 1/3 PI (20)^2 * 24 = 3200 Pi
Volume flown in 1 min = (Pi* 2.5/10 * 2.5/10 * 1000) = 62.5 Pi
Therefore Time taken = 3200 Pi / 62.5 Pi = 51 min. 12 sec.
Out of a sum of Rs.1250, a part was lent at 5% and the other at 10% simple interest. If the interest on the first part after 2 years is equal to the interest on the second part after 4 years, then the second sum (in Rs.) is
A train 220 m long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
OPtion
1) 15 sec.
2) 24 sec.
3) 14 sec.
4) 16 sec
5) 12 sec.
6) 20 sec.
7) 18 sec.
8) 6 sec.
9) 8 sec.
10)None of these
Solution
Speed of the train relative to man = (60+6) kmph
= 66*5/18 m/sec = 55/3 m/sec
Time taken by the train to cross the man
= Time taken by it to cover 220 m at 55/3 m/sec
= 220*3/55 = 660/55 = 12 sec.