math test Dec/02/15

1.At 5% S.I. a sum of Rs.500/- fetches Rs.36 more than the amount of interest accrued on Rs.380/- for the same period and rate. Find the time.

6 yrs./5 yrs./4 yrs./4.5 yrs./None

2.Out of a certain sum, 1/3^rd is invested at 3%, 1/6^th at 6% and the rest at 8%. If the S.I. for 2 years from all these investments amounts to Rs.600/-, find the original sum.

6000/4000/5000/7000/None

3.If x is the S.I. on y and y is the S.I. on z, the rate % and the time being the same in both cases, what is the relation between x,y and z?

X² =yz/y²=xz/z²=xy/xyz=1/x=2y+z

4.A man lent Rs.600/- for 2 yrs & Rs.200/- for 3 yrs., at the same rate at S.I. & received only Rs.90/- as interest. What was the rate % p.a.?

4/5/6/7/ none

5.A sum of money doubles itself in 10 years at S.I. In how many years would it treble itself?

10/20/30/40/ none

6.Rs.4000/- is divided into two parts such that if one part be invested at 3% and other at 5%, the annual interest from both the investments is Rs.144/-. Find each part.

1000,3000/1100,2900/1200,2800/none

7.Divide Rs.3903/- between x & y , so that x’s share at the end of 7 yrs may equal y’s share at the end of 9 yrs C.I. being at 4%.

2602,1301/2027,1876/2028,1875/none

8.A sum of money placed a C.I. doubles itself in 4 years . In how many years will it amount to eight times itself?

12/14/16/20/ none

9.The C.I. on a certain sum for 2 years is Rs.40.80 and S.I. is Rs.40. Find the rate of interest p.a. and the sum.

4%, 5000/5%,5000/6%,5000/None

10. If the S.I. on a certain sum of money for 3 years at 5% is Rs.150, find the corresponding C.I. ?

155.625/ 156.625/157.625/ none

11. A man takes 8 hrs. to walk to a certain place and ride back. However, he could have gained 2 hrs. if he had covered both ways by riding. How long would he have taken to walk both ways ?

8/10/12/none

12. A  man covers a certain distance between his house and office on scooter. Having an average speed of 30 km/hr he is late by 10 minutes. However, with a speed of 40 km/hr he reaches his office 5 minutes earlier. Find the distance between his house and office.

20/30/60/90/ none

13. Without stoppages, a train travels certain distance with an average speed of 80 km/hr, and with stoppages, it covers the same distance with an average speed of 60 km/hr. How may min. per hour the train stops?

12/13/14/15/ none

14. Normally it takes 3 hours for a train to run from A to B. One day , due to a minor trouble, the train had to reduce the speed by 12 km/hr and so it took ¾ of an hour more than usual. What is the distance from A to B.

124/136/160/180/none

15.X walked 1 km/hr slower than usual and he could return home in 9/8 of his usual time. His normal walking rate is

8km/hr/9km/hr/10km/hr/11km/hr/none

16.A man covers a certain  distance at a certain speed on scooter . I f he had  moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower he would have taken 40min more.The distance is.

20/40/60/80/none

17. A train covers a distance in 50 min ,if it runs at a speed of 48kmph on an average.The speed at which the train must run to reduce the time of journey to 40min will be.

12/20/48/60/none

18. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A. 8 kmph B.11 kmph C. 12 kmph D.14 kmph

19.A train after travelling 60 km meets with an accident and then proceeds at ¾ of its former rate and arrives at the terminus 40 minutes late. Had the accident happened 25 km further on, it would have arrived 10 minutes sooner. Find the speed of the train and the distance.

30km/h , 160km/40km/h,120km/50km/h, 160km/none

20.If I walk at 3km/h, I miss a train by 2 minutes. If however, I walk at 4 km/h, I reach the station 2 minutes before the arrival of the train. How far do I walk to reach the station.

5/2 km/4/5 km/6/5 km/none