Quantitative Aptitude Practice Questions for IBPS Clerk – Set 6

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Quantitative Aptitude Practice Questions for IBPS Clerk – Set 6
Directions (1 – 5): Study the following information carefully and answer the questions given beside:
These questions are based on the table chart given below which represents the Earnings Per Share (EPS) in rupees of three groups Tata, Birla and Ambani for the years 2011-2012 to 2015-2016. 
Years
Tata Group
Birla Group
Ambani Group
2011-12
38
25
49
2012-13
50
40
40
2013-14
46
46
34
2014-15
46
33
46
2015-16
40
23
54
EPS = Profit available for Shareholders/Number of shares
1. If Birla Group had 15000 shares in 2014-15 and 31,000 shares in 2015-16, then find the approximate percentage change in profit available for shareholders from 2014-15 to 2015-16?
a) 35%
b) 59.06%
c) 44%
d) 61%
e) None of these
2. If the number of shares of Birla Group in 2013-2014 is the same as in 2014-15, then which of the following is true.
a) Ratio of EPS for both these years is the same as that of the profit available for share holders.
b) Profit available for shareholders for these two years is the same.
c) Ratio of EPS for these two years is half that of the profit available for the share holders.
d) Both (a) and (b)
e) None is true
3. If Birla Group, Tata Group and Ambani Group have 10,000 25,000 and 15,000 shares respectively in 2012-13, then which company has the maximum profit available for shareholder in that year?
a) Birla Group
b) Tata Group
c) Ambani Group
d) Both (a) and (b)
e) Both (b) and (c)
4. If Birla Group and Tata Group have Rs. 6 lacs each as profit available for shareholder in 2012-13, then the ratio of the number of shares of Tata Group and Birla Group is 
a) 1 : 1
b) 4 : 5
c) 5 : 4
d) 20 : 12
e) None of these
5. If Birla Group has to pay 10% of the profit available for share holders as tax in the year 2013-14, then the tax payable for 12,000 shares is
a) Rs.65200
b) Rs.55200
c) Rs.60000
d) Rs.50000
e) None of these
Directions (6 – 10): These questions are based on the following diagram
The triangular graph gives the distribution of circulation of the three newspapers - The Times of India, The Hindu and The Hindustan Times in five localities - A, B, C, D and E of a city.
The bar graph shows the total circulation of these three newspapers in these localities.

6. By approximately what percentage is the total circulation of The Times of India in the five localities, more/less than that of The Hindustan Times?
a)    21%
b)    20%
c)     24%
d)    10%
e)    None of these
7. What is the total circulation of The Hindu in the given five localities?
a)    9450
b)    8762
c)     9220
d)    9465
e)    None of these
8. If in the next year the circulation of The Times of India in locality D increases by 20% and the circulation of The Hindu and The Hindustan times in the same locality increases by 30% and 40% respectively, then what will be the total circulation of these three papers in locality D?
a)    7214 
b)    8128
c)     9128 
d)    9620
e)    None of these
9. What is the ratio of the circulation of The Times of India in localities C and D together to that of The Hindu in localities C and E together? 
a)    2 : 5
b)    5 : 2
c)     3 : 5
d)    5 : 3
e)    None of these
10. In how many localities does The Hindustan times have a circulation more than 1500?
a)    1
b)    2
c)     3
d)    4
e)    None of these
Directions (11 – 15): Study the following information carefully and answer the questions given beside:
The pie-chart shows the market share of mobile phones sold by companies and the line-chart shows the sales of MI mobile phone for the given period.

11. If the market share of sales in 2015-16 is the same as that in 2014-15 then what is the sales of Lava mobile phones in the year 2015-16?
a) Rs.150cr
b) Rs.143.5cr
c) Rs.145.2cr
d) Rs.160.2cr
e) None of these
12. If the market share of 2015-16 is the same as 2014-15 then what is the difference between the sales of Vivo and Oppo?
a) Rs.24.6cr
b) Rs.22.2cr
c) Rs.25.4cr
d) Rs.26.4cr
e) Rs.28.2cr
13. If the market share of Samsung in 2015-16 is increases by 30% of it's percentage share in 2014-15, what is the sales of Samsung in the year 2015-16, if the total sales value of all the companies in 2015-16 was ₹ 728 crore?
a) Rs.204.8 cr
b) Rs.280.992 cr
c) Rs.250.892 cr
d) Rs.260.992 cr
e) None of these
14. What is the difference between the average sales of MI in the given period and the average sales of Vivo and Samsung in the year 2015-16 if the market share of Vivo and Samsung remains same as it is in the year 2014-15?
a) Rs.132 cr
b) Rs.129 cr
c) Rs.27.7cr
d) Rs.87.7 cr
e) None of these
15. The sales of MI in the year 2016-17 is approximately what per cent more than its sale in 2012-13?
a) 147%
b) 247%
c) 187%
d) 227%
e) 157%


Solutions:
1. C) In 2014-15 profit available to share holders of Birla group is 15000 × 33 = Rs. 4,95,000
In, 2015-16, profit available to share holders = 31,000 × 23 = Rs. 7,13,000
Difference in 2014-15 to 2015-16 = 713000 – 495000 = 218000
% Change in profit = 218000/495000 × 100 = 44.04% ≈ 44%
2. A) As per the given information, we can clearly observe that the option A is correct.
3. B) Profit of Birla Group = ₹(10000 × 40)
Profit of Tata Group = ₹(25000 × 50)
Profit of Ambani Group = ₹(15000 × 40)
Tata Group has maximum profit available for shareholders.
4. B) EPS of Birla Group = 40
EPS of Tata Group = 50
Since profit available is same, the ratio of,
No. of shares of Birla Group : Tata Group = 50 : 40 (Inverse of EPS) = 5 : 4
So, no. of shares of Tata Group : BIrla Group = 4 : 5
5. B) No. of shares for Birla Group = 12,000
Earnings Per share for Birla Group in (2013-2014) = 46
Profit available for share holders = 46 × 12000 = 5,52,000
10% of profit available for share holders = 10% of 552000 = Rs. 55200
6. D) Total circulation of The Times of India in the five localities
= 20% of 5600 + 30% of 7800 + 40% of 7000 + 50% of 6400 + 20% of 5000
= 1120 + 2340 + 2800 + 3200 + 1000 = 10460
And total circulation of The Hindustan Times
= 40% of 5600 + (20 + 40)/2% of 7800 + 40% of 7000 + 20% of 6400 + 60% of 5000
= 2240 + (30/100) × 7800 + 2800 + 1280 + 3000 = 2240 + 2340 + 2800 + 1280 + 3000 = 11660
Required % = {(11660 - 10460)/11660} × 100 = {1200/11660} × 100 10%
7. E) Total circulation of The Hindu in the five localities = 40% of 5600 + 40% of 7800 + 20% of 7000 + 30% of 6400 + 20% of 5000
= 2240 + 3120 + 1400 + 1920 + 1000 = 9680
8. B) In locality D,
Current circulation of TOI = 50% of 6400 = 3200
After 20% increase, total circulation = 3200 + 20% of 3200 = 3840
Current circulation of The Hindu = 30% of 6400 = 1920
After 30% increase, total circulation = 1920 + 30% of 6400 = 2496
Current circulation of The Hindustan Times = 20% of 6400 = 1280
After 40% increase, total circulation = 1280 + 40% of 1280 = 1792
Total circulation of the three newspapers after an year = 3840 + 2496 + 1792 = 8128
9. B) Total circulation of The Times of India in C and D localities = 40% of 7000 + (40 + 60)/2% of 6400 = 2800 + 3200 = 6000
Total circulation of The Hindu in C and E localities = 20% of 7000 + 20% of 5000
= (20/100) × 7000 + (20/100) × 5000 = 1400 + 1000 = 2400
required ratio = 6000 : 2400 = 60 : 24 = 5 : 2
10. D) Circulation of Hindustan times in A and C = 40%
Number of peoples reading Hindustan times in A = (40/100) × 5600 = 2240
And number of peoples reading Hindustan times in C = (40/100) × 7000 = 2800
Circulation of Hindustan times in town B = (40 + 20)/2% of 7800 = (30/100) × 7800 = 2340
And Circulation of Hindustan times in town D = 20% of 6400 = (20/100) × 6400 = 1280
Circulation of Hindustan times in town E = 60% of 5000 = (60/100) × 5000 = 3000
Town A, B, C and E have circulation of more 1500.
11. C) Market share of MI in 2014-15 is 30% and Lava is 22% and these shares will remain so in 2015-16 as well.
Let the sale of Lava in 2015-16 be x
Now, 30% ≡ ₹ 198 crore
22% ≡ x
x = (198 × 22)/30 = Rs.145.2 cr
Hence, the sales of Lava in the year 2015-16 is 145.2 crores.
12. D) Sales of MI in 2015-16 is ₹ 198 crore.
According to the question,
Sales of Vivo in 2015-16 = 198/30 × 12 = Rs.79.2cr
Sales of Oppo in 2015 – 16 = 198/30 × 8 = Rs.52.8cr
  Required difference = 79.2 – 52.8 = ₹ 26.4 crore
13. E) Market share of Samsung in the year 2015 – 16 = (28 × 130)/100 = 36.4%
Sales of Samsung in the year 2015 – 16 = (728 × 36.4)/100 = Rs.264.992 cr
14. C) Average sales of MI = (60.5 + 150 + 180 + 198 + 210)/5 = 159.7
  Average sales of Vivo and Samsung in the year 2015-16 = [(28 + 12) of 198/30]/2 = [40 × (198/30)]/2 = (66 × 4)/2 = Rs.132 cr
  Difference = ₹ (159.7 – 132) crore = ₹ 27.7 crore
15. B) Total sale of MI in the year 2016-17 = 210
And in the year 2012-13 = 60.5 crore
Reqd% = (210 – 60.5)/60.5 × 100 = 149.5/60.5 × 100 = 247.10 ≈ 247%