Quantitative Aptitude Practice Questions for IBPS Clerk – Set 17

Mentor for Bank Exams
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) 4/100C15
b) 2304/100C15
c) 15504/100C15
d) 1/100C15
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


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) = (20C15)/(100C15)
P(A) = 15504/100C15
Required probability is 15504/100C15
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 = 120C2 = 7140
Total number of favourable events = 24C1 x 96C1 = 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
Tax is then the difference between the pre–tax profits and post–tax profits
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 taxrate 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