Quantitative Aptitude Practice Questions for IBPS Clerk – Set
14
1. A firm
of readymade garments makes both men’s and women’s shirts. Its average profit
is 5% of the sales. Its profit in men’s shirts average 9% of the sales and
women’s shirts comprise 60% of the output. The average profit per sale rupee in
women shirts is
a) 0.0266
b) 0.0466
c) 0.0433
d) 0.0233
2. P, Q and
R started a business in partnership by investing Rs. 15000, Rs. 20000 and Rs.
24000, respectively. P left the partnership after 4 months taking back the
original amount he invested. At the end of the year, P, Q and R received their
profits. Q received a profit of Rs. 2000. How much profit P would have received
if he had continued till end of year assuming the annual profit to have
increased proportionally?
a) Rs.1200
b) Rs.1350
c) Rs.1500
d) Rs.1620
e) Rs.1720
3. If the
ratio of speed of doing work of three persons is 1 : 3 : 5, what is the ratio
of time taken by these people to do the same amount of work?
a) 15 : 5 :
7
b) 3 : 15 :
5
c) 15 : 3 :
5
d) 15 : 5 :
3
e) None of
these
4. A person
had a certain amount. He invested 5/6th of it in shares, 5% of it in mutual
funds, 10% of it in debentures and kept the remaining Rs. 850 with him. If got
interest at 10% for a year on debentures, what amount did he get as interest?
a) Rs.5100
b) Rs.7650
c) Rs.510
d) Rs.765
e) Rs.255
5. A family
consists of paternal grandparents, parents and three grandchildren. The average
age of the grandparents is 70 years, that of the parents is 40 years and that
of the grandchildren is 10 years. What is the average age of the family?
a) 34 4/7
years
b) 35 5/7
years
c) 32 1/7
years
d) 33 2/7
years
e) None of
these
Directions
(6 – 10): Study the following graph carefully and answer the questions given
beside:
A Report on the no. of
subscribers of different DTH companies in a city in a year.
Total no. of
subscribers of the six DTH companies = 60000.
Percentage of
subscribers of 6 different DTH companies:
Percentage of HD
subscribers in the six DTH companies in the same city:
6. What is
the total no. of HD subscribers of Dish TV and Tata Sky together?
a) 8340
b) 7575
c) 8264
d) 7296
e) 7854
7. The
total number of HD subscribers of Reliance Digital TV is what percent of the
total number of HD subscribers of Videocon D2H?
a) 25
b) 20
c) 32
d) 18
e) None of
these
8. What is
the average no. of HD subscribers of Dish TV, Sun Direct and Videocon D2H?
a) 3480
b) 2570
c) 3370
d) 2760
e) None of
these
9. If the
total no. of subscribers of six companies reaches 80000 and the percentage of
subscribers of Reliance Digital TV adds 5% more of the market share to itself
and percentage of subscribers of Sun Direct adds 2% more of the market share to
itself, what is the ratio of the no. of HD subscribers between Reliance Digital
TV and Sun Direct? [Percentage of HD subscribers remains same]
a) 17 : 8
b) 13 : 7
c) 15 : 11
d) 7 : 3
e) None of
these
10. What is
the difference between the no. of HD and Non  HD subscribers of Airtel Digital
TV?
a) 12500
b) 4320
c) 22000
d) 15400
e) 5340
Directions
(11 – 15): What value will come in place of question mark (?) in the following
questions: (You are not expected to calculate the exact value)
11. 9/42 ÷
108/63 × 328 – 5/7 + 7/5 = ?
a) 32
b) 28
c) 30
d) 48
e) 42
12. √4090 ×
3√12163 + 49 = ?^2
a) 29
b) 49
c) 33
d) 39
e) 37
13. (6561.001)^{2} ÷
(242.988)^{2} = ? × 728.878
a) 1
b) 3
c) 6
d) 9
e) 11
14. 18% of
256 + 35% of 290 – 15% of 385 = ?
a) 83
b) 80
c) 90
d) 93
e) 87
15.
?^(1.98) = 14 2/7% of 3870.868 + 18 2/11% of 369.006
a) 16
b) 8
c) 25
d) 15
e) None of
these
Solutions:
1. D) Let the total sales be Rs. 100
Women's
shirt comprise 60% of the output
⇒ Rs. 60 out
of Rs. 100 is sales of female’s shirts
∴ Men's
shirts comprise (100 – 60) = 40% of the output
⇒ Rs. 40 out
of Rs. 100 is the sales of male’s shirts
∴ Average
profit from men's shirt = 9% of 40 = Rs. 3.6
2. C) Money
invested by Q = Rs. 20000 for 12 months
Total
money invested = Rs. 15000 for 4 months + Rs. 20000 for 12 months + Rs. 24000
for 12 months
So,
Q's investment : Total investment : : Q's profit : Total profil
Therefore,
total profit = [(15 × 4 + 20 × 12 + 24 × 12)/(20 × 12)] × 2000 = Rs.4900
Profit
earned by P = (15 × 4)/(20 × 12) × 2000 = Rs.500
If
P would have continued for full year (12 months) instead of 4 months, his
profit would have been 3 times of what he got now = 3 × Rs. 500 = Rs. 1500
3. D) Let the
speed of doing work of the three persons be 1x, 3x and 5x respectively
Time
taken by each person = amount of work done/speed of doing work
Let
the amount of work for each person = y (∵ work done is same)
The
time taken by the first person = y/x
The
time taken by the second person = y/3x
The
time taken by the third person = y/5x
The
ratio of time taken = y/x : y/3x : y/5x = 1 : 1/3 : 1/5 = 15 : 5 : 3
4. C) 5/6 corresponds to 83.33%.
Hence,
the amount that he kept with him corresponds to 100 − (83.33 + 5 + 10) = 1.67%
of the total amount with him. This corresponds to Rs. 850
Also,
because he placed 10% in debentures and he got 10% interest, amount obtained in
interest = 10% of 10% of amount with him i.e. 1% of the amount with him.
∴ Interest earned = (850 × 1)/1.67 = 510
5. B) The family
consists of grandparents, parents and three grandchildren.
So,
the number of family members = 2 + 2 + 3 = 7
We
know,
Average
of quantities = Sum of all quantities/No. of quantities
The
average age of the grandparents is 70 years. So, the total age of the grandparents
= 70 × 2 = 140 years
The
average age of the parents is 40 years. So, the total age of the parents = 40 ×
2 = 80 years
The
average age of the grandchildren is 10 years. So, the total age of the grandchildren
= 10 × 3 = 30 years
∴ The total age of the family members = 140 +
80 + 30 = 250 years.
∴ The average age of the family = 250/7 = 35
5/7 years
6. D) Given,
Total
no. of subscribers of the six DTH companies = 60000
Percentage
of subscribers of Dish TV = 16
∴ The total no. of subscribers of Dish TV =
60000 × 16/100 = 9600
Percentage
of HD subscribers of Dish TV = 24
∴ The no. of HD subscribers of Dish TV = 9600 ×
24/100 = 2304
Percentage
of subscribers of Tata Sky = 26
∴ The total no. of subscribers of Tata Sky =
60000 × 26/100 = 15600
Percentage
of HD subscribers of Tata Sky = 32
∴ The no. of HD subscribers of Tata Sky =
15600 × 32/100 = 4992
∴ The total no. of HD
subscribers of Dish TV and Tata Sky together = 2304 + 4992 = 7296
7. B) Given,
Total
no. of subscribers of the six DTH companies = 60000
Percentage
of subscribers of Reliance Digital TV = 12%
∴ The total no. of subscribers of Reliance Digital
TV = 12% of 60000 = 7200
Percentage
of HD subscribers of Reliance Digital TV = 15%
∴ The no. of HD subscribers of Reliance
Digital TV = 15% of 7200 = 1080
Percentage
of subscribers of Videocon D2H = 20%
∴ The total no. of subscribers of Videocon D2H
= 20% of 60000 = 12000
Percentage
of HD subscribers of Videocon D2H = 45%
∴ The no. of
HD subscribers of Videocon D2H = 45% of 12000 = 5400
∴ Required %
= 1080/5400 × 100 = 20%
8. D) Given,
Total no. of subscribers of the six DTH companies = 60000
Company Name

Percentage of subscribers

Total subscribers
= 60000 
Dish TV

16

16% of 60000 = 9600

Sun Direct

8

8% of 60000 = 4800

Videocon D2H

20

20% of 60000 = 12000

Now,
Company Name

Total No. of subscribers

Percentage of HD subscribers

No. of HD subscribers

Dish TV

9600

24

24% of 9600 = 2304

Sun Direct

4800

12

12% of 4800 = 576

Videocon D2H

12000

45

45% of 12000 = 5400

∴ The total no. of subscribers of
Dish TV, Sun Direct and Videocon D2H together = 2304 + 576 + 5400 = 8280
∴ Required average = 8280/3 = 2760
9. A) Given,
Total no. of subscribers of the six DTH companies = 80000
Percentage
of subscribers of Reliance Digital TV = 12%
The
Percentage of subscribers of Reliance Digital TV is increased by 5%
∴ The total no. of subscribers of Reliance
Digital TV = (12 + 5)% of 80000 = 13600
Percentage
of HD subscribers of Reliance Digital TV = 15%
∴ The no. of HD subscribers of Reliance Digital
TV = 15% of 13600 = 2040
Percentage
of subscribers of Sun Direct = 8%
The
Percentage of subscribers of Sun Direct is increased by 2%
∴ The total no. of subscribers of Sun Direct =
(8 + 2)% of 80000 = 8000
Percentage
of HD subscribers of Sun Direct = 12%
∴ The no. of HD subscribers of Sun Direct = 12%
of 8000 = 960
∴ The required ratio = 2040 : 960 = 17 : 8
10. B) Given,
Total no. of subscribers of the six DTH companies = 60000.
Percentage
of subscribers of Airtel Digital TV = 18%
So,
the total no. of subscribers of Airtel Digital TV = 18% of 60000 = 10800
Percentage
of HD subscribers of Airtel Digital TV = 30%
Percentage
of Non  HD subscribers of Airtel Digital TV = 100% – 30% = 70%
∴ The difference between the no. of HD and Non
 HD subscribers of Airtel Digital TV
⇒ (70 – 30)% of
10800 = 40% of 10800 = 4320
11. E) 12. D)
13. A) 14. C) 15. C)