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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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.
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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
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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
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Answer
Explanation
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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.
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