Topic 1-Time & Work
1- A can do a piece of work in 12
days. When he had worked for 2 days B joins him. If the
complete work was finished in 8 days.
In how many days B alone can finish the work?
A. 18 days B. 12 days C. 24 days D. 10
days
Answer: Option A
2- A and B together can do a work in 6
days. If A alone can do it in 15 days. In how many days can B alone do it?
A. 10 B. 15 C. 12 D. 16
Answer: Option A
3- A can do a piece of work in 15 days
and B in 20 days. They began the work together but 5 days before the completion
of the work, A leaves. The work was completed in?
A. 8 days B. 10 days C. 15 days D. 11
3/7 days
Answer: Option D
4- A, B and C can do a piece of work
in 24, 30 and 40 days respectively. They start the work
together but C leaves 4 days before
the completion of the work. In how many days is the work
done?
A. 15 days B. 14 days C. 13 days D. 11
days
Answer: Option D
5- A is thrice as efficient as B and
is, therefore, able to finish a piece of work 10 days earlier than B. In how
many days A and B will finish it together?
A. 3 1/2 days B. 3 4/5 days C. 3 days
D. 5 days
Answer: Option D
Topic 2-Simple
Interest
6- If rupee one produces rupees nine
over a period of 40 years, find the rate of simple interest?
A. 20 % B. 10 % C. 15 % D. 22 1/2%
Answer: Option D
7- A certain sum of money doubles
itself in 10 years in how much many years will it trible itself at the same
rate?
A. 20 years B. 15 years C. 30 years D.
17 1/2 years
Answer: Option A
8- Rs.1500 is divided into two parts
such that if one part is invested at 6% and the other at 5% the whole annual
interest from both the sum is Rs.85. How much was lent at 5%?
A. Rs.1000 B. Rs.750 C. Rs.600 D.
Rs.500
Answer: Option D
9- The simple interest on a sum of
money is 4/9 of the principal and the number of years is equal to the rate
percent. Find the rate and the time?
A. 6 2/3 years; 6 2/3 % B. 5 1/3
years; 5 1/3 % C. 4 2/3 years; 4 2/3 % D. None
Answer: Option A
10- In what time will Rs.4000 lent at
3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5
years at 4% per annum on simple interest?
A. 8 1/3 years B. 9 years C. 7 1/2
years D. 7 1/3 years
Answer: Option A
Topic 3-Average
11- The average age of a husband and a
wife is 23 years when they were married five years ago but now the average age
of the husband, wife and child is 20 years(the child was born during the interval).
What is the present age of the child?
A. 1 year B. 2 years C. 3 years D. 4
years
Answer: Option D
12- A batsman in his 17th innings
makes a score of 85 and their by increasing his average by 3. What is his
average after the 17thinnings?
A. 34 B. 35 C. 36 D. 37
Answer: Option D
13- In a hostel there were 100
students. To accommodate 20 more students the average is decreased by rupees 5.
But total expenditure increased by Rs.400. Find the total expenditure of the
hostel now?
A. Rs.5000 B. Rs.4600 C. Rs.5400 D.
Rs.2300
Answer: Option C
14- Visitors to show were charged
Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third
day and total attendance on the three days were in ratio 2:5:13 respectively.
The average charge per person for the whole show is?
A. Rs.3 B. Rs.4.50 C. Rs.5.00 D.
Rs.7.50
Answer: Option C
15- A building contractor employs 20
male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to
a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage
per day paid by the contractor is?
A. Rs.20 B. Rs.21 C. Rs.22 D. Rs.23
Answer: Option B
Topic 4-Ratio
& Proportion
16- The ratio of the number of ladies
to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio
became 1:3. How many people were at the party originally?
A. 36 B. 24 C. 12 D. 6
Answer: Option C
17- The first three terms of a
proportion are 3, 9 and 12. The fourth term is?
A. 4 B. 6 C. 18 D. 36
Answer: Option D
18- A 70 cm long wire is to be cut
into two pieces so that one piece will be 2/5th of the other, how many centimetres
will the shorter piece be?
A. 10cm B. 20cm C. 25cm D. 30cm
Answer: Option B
19- 96 is divided into two parts in
such a way that seventh part of first and ninth part of second are equal. Find
the smallest part?
A. 38 B. 40 C. 42 D. 48
Answer: Option C
20- 1000 men have provisions for 15
days. If 200 more men join them, for how many days will the provisions last
now?
A. 10.5 B. 11.5 C. 12.5 D. 10.4
Answer: Option C
Topic 5-Pipes
& Cisterns
21- Pipes P and Q would fill a cistern
18 and 24 minutes respectively. Both pipes being opened, find when the first
pipe must be turned off so that the cistern may be just filled in 12 minutes?
A. after 12 mins B. after 9 mins C.
after 8 1/2 mins D. after 10 mins
Answer: Option B
22- A cistern which could be filled in
9 hours takes one hour more to be filled owing to a leak in its bottom. If the
cistern is full in what time will the leak empty it?
A. 45 hrs B. 60 hrs C. 75 hrs D. 90
hrs
Answer: Option D
23- A pipe can fill a cistern in 20
minutes whereas the cistern when fill can be emptied by a leak in 28 minutes.
When both pipes are opened, find when the cistern will be full?
A. 60 min B. 80 min C. 70 min D. 48
min
Answer: Option C
24- Pipes A and B can fill a cistern
in 8 and 24 minutes respectively. They are opened an alternate minutes. Find
how many minutes, the cistern shall be full?
A. 6 min B. 12 min C. 19 min D. 10 min
Answer: Option B
25- A cistern has three pipes, A, B
and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can
empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When
will the cistern be empty?
A. 3 PM B. 7 PM C. 4 PM D. 5 PM
Answer: Option D
Topic 6-Compound
Interest
26- The difference between compound
and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is
Rs.184. Find the sum?
A. Rs.12000 B. Rs.14200 C. Rs.17520D.
Rs.13500
Answer: Option D
27- A sum of money is put out at
compound interest for 2 years at 20%. It would fetch Rs.482 more if the
interest were payable half-yearly, then it were pay able yearly. Find the sum.
A. Rs.4000 B. Rs.1000 C. Rs.1250 D.
Rs.2000
Answer: Option D
28- Find the sum The difference
between the compound and S.I. on a certain sum of money for 2 years at 10% per
annum is Rs.15of money?
A. 1500 B. 1800 C. 2100 D. 1950
Answer: Option A
29- The difference between the
compound interest compounded annually and simple interest for 2 years at 20%
per annum is Rs.144. Find the principal?
A. Rs.3000 B. Rs.3300 C. Rs.3600 D.
Rs.3900
Answer: Option C
30-What sum of money put at C.I
amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
A. Rs.8000 B. Rs.8400 C. Rs.7500 D.
None
Answer: Option A
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