Quantitative Aptitude Practice Questions for IBPS Clerk – Set
19
Directions
(1 – 5): Study the following table to answer these questions.
No.
of watches sold


Shop
Name

Titan

Sonata

Fastrack

A

750

850

680

B

920

670

960

C

1050

470

850

D

710

780

820

1. What
percentage of total numbers of watches sold by shop A were Titan watches?
a) 29.10
b) 32.89
c) 38.15
d) 28.67
e) 34.65
2. The
total numbers of watches sold by shop D is what percentage of total numbers
watches sold by shop B?
a) 78.91
b) 81.67
c) 90.59
d) 93.48
e) 110.39
3. By what
percentage is the number of Fastrack watches sold by shop C more than the
numbers of Fastrack watches sold by shop A?
a) 15
b) 35
c) 25
d) 20
e) None of
these
4. In which
shop the average numbers of watches were sold the highest?
a) A
b) B
c) C
d) D
e) None of
these
5. The
numbers of Sonata watches were sold by Shop B is what percent of total numbers
of Sonata watches sold by all shops together?
a) 28.32
b) 22.69
c) 27.52
d) 24.19
e) 16.97
Directions
(6 – 10): What approximate value should come in place of the question mark (?)
in the following question? (Note: You are not expected to calculate the exact
value.)
6. 9219.999
÷ 25.002 × 13.996 = ?
a) 5623
b) 5163
c) 5610
d) 5603
e) 5633
7. 33.0003%
of 529.999 = ?
a) 165
b) 185
c) 175
d) 170
e) 180
8. (24.001)^2
= ?
a) 570
b) 530
c) 576
d) 500
e) 540
9. 21212.12
+ 22121.21 + 21122.22 = ?
a) 64400
b) 64456
c) 65000
d) 65555
e) 64556
10. 1251.01
– 429.99 + 549.99 = ?
a) 1370
b) 1420
c) 1340
d) 1410
e) 1320
11. Three
pipes, P, Q and R are attached to a tank. Pipe P can fill the tank alone in 2
hours. Pipes Q and R when open together can fill the tank in 40 minutes. Pipe P
is opened for 40 minutes. Now, pipe is closed and pipes Q and R are opened. How
much more time will it take to fill the tank completely (in minutes)?
a) 13 1/3
b) 15
c) 16 2/3
d) 20
e) 26 2/3
12. Daniel
invested a sum of Rs. 20000 for four years in compound interest at 10% per
annum. How much money he should have invested in simple interest at same terms
so as to earn same amount of interest in both cases (in rupees)?
a) 21300
b) 22876
c) 23205
d) 24200
e) 25245
13. Honey
drives car at 50 km/hr while Sunny drives the car at 80 km/hr. They both have
gone for a long drive and drive turn wise. What should be the ratio of
distances for which Honey and Sunny drive so that they can cover a distance of
480 km in 8 hours?
a) 3 : 2
b) 5 : 4
c) 7 : 6
d) 5 : 3
e) 3 : 1
14. The
marked price of a wooden frame is Rs. 900. A discount is offered on this frame.
Accidentally, the cashier used the discount twice while making the bill. As a
result, it was sold at a price of Rs. 576. Still, a profit of 20% is earned.
What is the cost price of wooden frame?
a) Rs. 360
b) Rs. 440
c) Rs. 480
d) Rs. 450
e) Rs. 400
15. One
year ago, Prapti was three times as old as her younger sister Sumona. Five
years hence, Prapti’s age will exceed her younger sister’s age by 8 years. The
ratio of the present ages of Prapti and her younger sister is:
a) 9 : 2
b) 11 : 3
c) 12 : 5
d) 13 : 5
e) 17 : 7
Solutions:
1. B) From the table,
Total
watches sold in shop A = 750 + 850 + 680 = 2280
The
Titan watches sold in shop A = 750
The
required percentage = [(750/2280) × 100] = 32.89%
∴ The 32.89%
of total numbers of watches sold by shop A were Titan watches.
2. C) From the
table,
No.
of watches sold


Shop
Name

Titan

Sonata

Fastrack

Total
numbers of watches sold

B

920

670

960

920 + 670 + 960 = 2550

D

710

780

820

710 + 780 + 820 = 2310

The
required percentage = [(2310/2550) × 100]% = 90.58%
∴ The total
numbers of watches sold by shop D is 90.58% of total numbers watches sold by
shop B.
3. C) From the
table,
The
numbers of Fastrack watches sold by shop A = 680
The
numbers of Fastrack watches sold by shop C = 850
The
increase in the sale of Fastrack watches = 850 – 680 = 170
The
required percentage = [(170/680) × 100]% = 25%
∴ The
numbers of Fastrack watches sold by shop C is more than the numbers of Fastrack
watches sold by shop A by 25%.
4. B) From the
table,
∴ The
average numbers of watches were sold in shop B the highest.
5. D) From the
table,
Total
numbers of Sonata watches sold by all shops together = 850 + 670 + 470 + 780 =
2770
The
numbers of Sonata watches sold by shop B = 670
The
required percentage = [(670/2770) × 100]% = 24.18%
∴ The
numbers of Sonata watches were sold by Shop B is 24.18% of total numbers of
Sonata watches sold by all shops together.
6. B) 7. C)
8. C) 9. B) 10. A)
11. E) Pipe P can
fill the tank alone in 2 hours or 120 minutes. Pipes Q and R when open together
can fill the tank in 40 minutes.
⇒ In a
minute, pipe P can fill 1/120 of tank, and pipes Q and R together can fill 1/40
of tank.
Suppose
pipes Q and R are opened for T minutes.
⇒ 40/120 +
T(1/40) = 1
⇒ T = 40 ×
2/3 = 80/3 = 26 2/3
∴ 80/3 more
minutes are required to fill tank completely.
12. C) ⇒ For same
interest, 20000 × [(1 + 10/100)^{4} –
1] = (P × 10 × 4)/100
⇒ 9282 =
0.4P
⇒ P = 23205
∴ Daniel
should have invested Rs. 23205 in simple interest.
13. B) Suppose
Honey drove for T km and Sunny drove for (480 – T) km.
Time
taken by Honey = T/50 hours
Time
taken by Sunny = (480 – T)/80 hours
Also,
total time is 8 hours.
=>
T/50 + (480 – T)/80 = 8 => 8T + 2400 – 5T = 3200
⇒ T = 800/3
∴ Ratio of
distance for which Honey and Sunny drove = (800/3) : (480 – 800/3) = 800 : 640 = 5 : 4
14. C) On
understanding the question statement properly, we observe that we are given
selling price and profit percentage and we need to find cost price. The
information regarding marked price and discount is a distraction only.
We
know, Selling Price = Cost Price × (1 + (Profit %)/100)
⇒ Cost price
of frame = Rs. 576/(1 + (20/100)) = Rs. 576/1.2 = Rs. 480
15. D) Let the age
of Sumona in a year ago be x years.
One
year ago, Prapti was four times as old as her younger sister Sumona. So, the
age of Prapti in one year ago = 3x years.
Five
years hence, Prapti’s age will exceed her younger sister’s age by 8 years.
So,
we can write now,
(3x
+ 1) + 5 = [(x + 1) + 5] + 8 ⇒ 3x + 6 = x + 14 ⇒ 3x – x = 14 – 6 ⇒ 2x = 8
⇒ x = 8/2 =
4
So,
the present age of Sumona = 4 + 1 = 5 years.
And
the age of Prapti = (4 × 3) + 1 = 13 years.
∴ The ratio
of the present ages of Prapti and her younger sister = 13 : 5.