__Quantitative Aptitude Practice Questions for IBPS Clerk – Set 17__**Directions (1 – 5)**:

**Analyse the data given in the pie chart and answer the questions asked below:**

**Two shops are there Shop A and Shop B in a local sports market. Both the shops contains some number of balls of different colors.**

**1. If balls are drawn from both the shops, what is the probability that balls drawn are red?**

a) 1/17

b) 13/22

c) 23/29

d) 1/23

e) None of
these

**2. Suppose shop B contains 20 balls in total. If two balls are drawn at random, what is the probability that both the balls drawn is black?**

a) 3/95

b) 7/93

c) 6/23

d) 7/20

e) 1/29

**3. From shop A two successive drawings of 15 balls at a time are made such that the balls are not replaced before the second draw. Find the probability first draw gives 15 blue balls.**

a) 4/

^{100}C_{15}
b) 2304/

^{100}C_{15}
c) 15504/

^{100}C_{15}
d) 1/

^{100}C_{15}
e) None of
these

**4. If two balls are drawn at random from shop B, find the probability that one ball is black.**

a) 0.123

b) 0.235

c) 0.255

d) 0.322

e) None of
these

**5. If one ball are taken out from shop A and transferred to shop B then find the probability of the ball being transferred is red or blue?**

a) 0.7

b) 0.9

c) 0.11

d) 0.2

e) 0.3

**Directions (6 – 10): The graph shows the performance of ABC corp. ltd in different zones (A, B, C, D) in India in the year 2009 – 2010. There is no overlap between the four zones, which together account for the entire sales, expenses and profits for ABC corp. ltd. All figures are in crores.**

**Note:**profit = sales – expenses – tax; where tax is imposed as a certain percentage of the pre–tax profits. Pre–tax profits = sales – expenses

**6. Expenses as a percentage of sales are the highest for which zone in the year 2009–2010**

a) A

b) B

c) C

d) D

e) A and B
both

**7. In which zone is the tax–rate as a percentage of pre–tax profit the highest in 2009–2010?**

a) A

b) B

c) D

d) A and C
both

e) B and D
both

**8. The C zone accounted for what percentage of the overall sales for ABC Corp. ltd in 2009–2010?**

a) 12%

b) 15.7%

c) 20%

d) 35%

e) 53%

**9. The post–tax profits, expressed as a percentage of sales, for ABC corp .ltd in 2009–2010 were**

a) 20.4%

b) 37.3%

c) 42.5%

d) 53%

e) 55%

**10. ABC corp. ltd paid the maximum tax in which of the four zones in 2009–2010?**

a) A and C
both

b) A

c) B

d) C

e) D

**For More Data Interpretation Practice Questions View Here**

**11. A student find the average of ten 2 digit numbers. While copying numbers, by mistake, he writes one number with its digits interchanged. As a result his answer is 1.8 less than the correct answer. The difference of the digits of the number, in which he made mistake is:**

a) 2

b) 3

c) 4

d) 6

e) None of
these

**12. M, P and Q together started a business. M invested Rs. 6,500 for 6 months, P invested Rs. 8,400 for 5 months and Q invested Rs. 10,000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7,400, then Q’s share is:**

a) Rs.
1,900

b) Rs.
2,100

c) Rs. Rs.
3,200

d)
Insuficient Data

e) None of
these

**13. Shri Ramlal distributed his savings among his wife, two sons and one daughter in such a way that wife gets double of what each son gets and each son gets double of what the daughter gets. If the amount received by each son is Rs. 48000, what was the total amount distributed by Shri Ramlal?**

a) Rs.
92000

b) Rs.
220000

c) Rs.
180000

d) Rs.
212000

e) None of
these

**14. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?**

a) 35 hours

b) 25 hours

c) 20 hours

d) Cannot
be determined

e) None of
these

**15. A tourist covered a journey partly by foot and partly by tonga. He walked for 90 km and rode the tonga for 10 km. He spent 4 h less on the tonga than on walking. If the tourist had reversed the times he travelled by foot and on tonga, the distances travelled on each part of the journey would be equal. How long did he ride the tonga?**

a) He rode
for 6 hours

b) He rode
for 4 hours

c) He rode
for 2 hours

d) He rode
for 5 hours

e) None of
these

**Solutions:**

**1. B)**Total number of balls in Shop A = 100

Total
number of balls in Shop B = 120

Total
number of red balls in shop A = 70% of 100 = 70

Total
number of red balls in shop B = 50% of 120 = 60

⇒ Required
Probability = (70 + 60)/220

⇒ Required
Probability = 130/220

⇒ Required
Probability = 13/22

∴ Required
probability is 13/22

**2. A)**Total number of balls = 20

Total
number of black balls = 20% of 20 = 4

Out
of 4 black balls 2 balls can be drawn in 4C2 = 6 ways

⇒ Total
number of events = 20C2 = 190

⇒ Required
probability = 6/190 = 3/95

∴ Required
probability is 3/95

**3. C)**Let the events be A

A
= drawing 10 blue balls in second draw

Total
number of balls in shop A = 100

Total
number of blue balls = 20% of 100 = 20

⇒ P(A) = (

^{20}C_{15})/(^{100}C_{15})
⇒ P(A) =
15504/

^{100}C_{15}
∴ Required
probability is 15504/

^{100}C_{15}**4. D)**Total number of balls in shop B = 120

Total
number of black balls in shop B = 20% of 120 = 24

Out
of 24 black balls 1 black ball can be drawn in 24C1 ways

1
ball from remaining 120 – 24 = 96 balls can be drawn in 96C1 ways

One
black and one another color ball can be drawn in 24C1 x 96C1 ways

Total
number of events =

^{120}C_{2}= 7140
⇒ Total
number of favourable events =

^{24}C_{1}x^{96}C_{1}= 2304
⇒ Required
probability = 2304/7140 = 0.322

∴ Required
probability is 0.322

**5. B)**Total number of balls in shop A = 100

Total
number of red balls = 70% of 100 = 70

Total
number of blue balls = 20% of 100 = 20

Probability
of ball being transferred is red or blue = (Total number of red and blue
balls)/Total number of balls

⇒
Probability of ball being transferred is red or blue = (70 + 20)/100

⇒
Probability of ball being transferred is red or blue = 90/100 = 9/10 = 0.9

∴
Probability of ball being transferred is red or blue is 0.9

**(6 – 10): Explanation:**

The
Post–tax profits are given in the graph as profits

Pre–tax
profits for each zone can be calculated by subtracting the expenses from the
sales in each zone

**6. A)**Expenses as a % of sales of A = 40/70 × 100 = 57.14%

Expenses
as a % of sales of B = 20/55 × 100 = 36.36%

Expenses
as a % of sales of C = 20/40 × 100 = 50%

Expenses
as a % of sales of D = 50/90 × 100 = 55.55%

∴ expenses
as a percentage of sales of zone A is highest

**7. D)**∴ From the above table highest tax–rate is 30% for D zone

**8. B)**∴ required % = 40/255 × 100 = 15.7%

**9. B)**∴ required % = 95/255 × 100 = 37.3%

**10. E)**∴ From the above table highest tax = Rs.12crore

**11. A)**Let original number be (10x + y)

∴ (10x + y)
– (10y + x) = 18 => 9x – 9y = 18 => x – y = 2

**12. A)**

M’s
extra share on working partner = 7400 × 5/100 = Rs.370

Remaining
profit = Rs.7400 – Rs.370 = Rs.7030

37units
= 7030 => 1 unit = 7030/37

Profit
of Q = 7030/37 × 10 = Rs.1900

**13. E)**Let daughter’s amount = x

Amount
of each son = 2x

Amount
of wife = 4x

Total
amount = x + (2 × 2x) + 4x = 9x

Amount
of each son 2x = 48000 => x = 240000

Total
amount distributed by Ramlal = 9x = 9 × 24000 = Rs.216000

**14. A)**Here ratio of efficiencies of pipes A, B and C are as follows:

C :
B : A

2 : 1

2 : 1

4 :
2 : 1

Suppose
the efficiencies of pipes C, B and A are 4K, 2K and K.

Since,
the tank is filled in 5 hours by the three pipes having combined efficiency
equal to 7K, the

time
required to fill the tank by A alone =
7K * 5 / K = 35 hours

**15. C)**Let speed of man = xkmph

Let
speed of tanga = ykmph

∴ (90/x) –
(10/y) = 4 ….. (i)

And
x × 10/y = y × 90/x => x^2 = 9y^2 => x = 3y …… (ii)

On
solving (i) and (ii) we get, y = 5kmph

Therefore
required time = 10/5 = 2hrs