1) P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share?
a. Rs. 8400
b. Rs. 10,500
c. Rs. 13,600
d. Rs. 14,700
Answer
Explanation

ANSWER: Rs. 10,500
Explanation: Let amount subscribed for R be x. Therefore, Q = x + 5000 and P = x + 5000 + 4000 = x + 9000 So, x + x + 5000 + x + 9000 = 50000 3x = 36000 x = 12000 P : Q : R = 21000 : 17000 : 12000 = 21 : 17 : 12 P’s share = 25000 X (21/50) = Rs. 10,500


2) 34 men can complete a piece of work in 18 days. In how many days will 17 men complete the same work?
a. 12
b. 18
c. 24
d. 36
e. None of these
Answer
Explanation

ANSWER: 36
Explanation: Let the required number of days be A. Then, Less men, More days (Indirect Proportion) 17 : 34 : : 18 : A 17 x A = 34 x 18 A = (34 x 18) / 17 A = 36


3) A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone?
a. 6 ½ days
b. 7 days
c. 9 ½ days
d. 12 days
Answer
Explanation

ANSWER: 12 days
Explanation: Daughter’s 1 day’s work = (1/3 – 1/4) = 1/12 Daughter alone can do the work in 12/1 = 12 days


4) Pipe P can fill a tank in 4 hours, pipe Q in 8 hours and pipe R in 24 hours. If all the pipes are open, in how many hours will the tank be filled?
a. 2 hours
b. 2.4 hours
c. 3 hours
d. 3.5 hours
Answer
Explanation

ANSWER: 2.4 hours
Explanation: Part filled by (P + Q + R) in 1 hour = (1/4 + 1/8 + 1/24) = 10/24 All the three pipes together will fill the tank = 24/10 = 2.4 hours


5) A car is running at a speed of 90 kmph. What distance will it cover in 15 second?
a. 100 m
b. 255 m
c. 375 m
d. Cannot be determined
e. None of these
Answer
Explanation

ANSWER: 375 m
Explanation: Given : Speed = 108 kmph = (90 x (5/18)) m/sec = 25 m/sec Distance covered in 15 second = (25 x 15) m = 375 m.


6) How long does a train 90 metres long running at the speed of 71 km/hr take to cross a bridge 132 metres in length?
a. 9.8 sec
b. 11.26 sec
c. 12.42 sec
d. 14.3 sec
Answer
Explanation

ANSWER: 11.26 sec
Explanation: Speed = (71 x 5/18) m/sec = 19.72 m/sec Total distance covered = (90 + 132) m = 222 m. Required time = (222/19.72) sec = 11.26 sec


7) A boat running downstream covers a distance of 20 km in 2 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
a. 4 km / hr
b. 7 km / hr
c. 8 km / hr
d. Data Inadequate
Answer
Explanation

ANSWER: 7 km / hr
Explanation: Rate downstream = (20/2) kmph = 10 kmph; Rate upstream = (20/5) kmph = 4 kmph Speed in still water = 1/2 (10 + 4) kmph = 7 kmph


8) In how many years, Rs. 200 will produce the same interest @ 5 % as Rs. 900 produce in 2 years @ 3 ½ %?
a. 6.3 years
b. 8.2 years
c. 9 years
d. 12 years
Answer
Explanation

ANSWER: 6.3 years
Explanation: P = Rs 900, R = 3 ½ % = 7/2 %, T = 2 years. Therefore, S.I. = PRT/100 S.I. = Rs. (900 x 7/2 x 2/100) = Rs. 63 Now, P = Rs. 200, S.I. = Rs. 63, R = 5 % Time = ((100 x 63) / (200 x 5) ) years = 6.3 years


9) What will be the difference between simple interest and compound interest @ 10% per annum on a sum of Rs. 1000 after 3 years?
a. Rs. 31
b. Rs. 32.10
c. Rs. 40.40
d. Rs. 64.10
e. None of these
Answer
Explanation

ANSWER: Rs. 31
Explanation: S.I. = Rs. [(1000 x 10 x 3) / 100] = Rs. 300 C.I. = Rs. [1000 x (1 + (10/100))^{3}  1000] = Rs. 331 Difference = Rs. (331  300) = Rs. 31


10) An employer pays Rs. 30 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 60 days, a worker gets Rs. 500. For how many days did the worker remain idle?
a. 35
b. 48
c. 52
d. 58
Answer
Explanation

ANSWER: 52
Explanation: Suppose the worker remained idle for m days. Then, he worked for (60  m) days. 30 (60  m) – 5m = 500 1800 – 25m = 500 25m = 1300 m = 52 So, the worker remained idle for 52 days.

