Clerk Express – Quantitative Aptitude 6




Directions (Q. 1-5): Study the following bar-chart and pie-chart to answer the questions given below:
Number of candidates (in thousand) who appeared for the IBPS exams from 6 different cities

a

Percentage of female candidates from various cities among total female candidates.
Female candidates are 40% of the total candidates

a

1. The average percentage marks obtained by the candidates from Kolkata was 40% of the maximum marks (Maximum marks = 200) and the same for Mumbai was 60%. Find the ratio of the average marks obtained by the candidates of these two cities.
1) 3 : 2    2) 2 : 3      3) 3 : 4       4) 4 : 3       5) 5 : 6

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ANS: 2

Reqd ratio = 40 : 60 = 2 : 3

2. By what fraction was the number of candidates from Delhi who appeared for the exam less than that from Patna?
1) 5/9   2)2/3   3)1/4   4)3/5    5)9/11

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ANS: 3

Reqd fraction = 30000-22500/30000= 1/4

3. What is the ratio of the total number of candidates appeared from Delhi, Mumbai and Kolkata to the total number of candidates appeared from Patna, Ranchi and Lucknow?
1) 5 : 6      2) 3 : 4     3) 2 : 3      4) 9 : 10       5) 10 : 9

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ANS: 4

Total number of candidates from Delhi, Mumbai and Kolkata = (22500 + 27500 +17500) = 67500
Total number of candidates from Patna, Ranchi and Lucknow = (30000 + 20000 + 25000)= 75000
Reqd ratio = 67500 : 75000 = 9 : 10

4. Female candidates from Mumbai are what per cent of the total number of candidates from Patna?
1) 43.6%      2) 42.6%      3) 41.6%        4) 40.6%        5) 45.6%

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ANS:5

Total number of female candidates = (25 + 20 + 22.5 + 30 + 17.5 + 27.5) ×1000* 40/100=57000

Total number of female candidates from Mumbai = 57000 × 24/100= 13680

Total number of candidates from Patna = 30000

Reqd % = 13680*100/30000=45.6%

5. What is the difference between the total number of candidates from Lucknow and the total number of female candidates from Ranchi?
1) 20380      2) 22350        3) 21580       4) 16359      5) 14480

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ANS: 3

Total number of candidates from Lucknow = 25000
Female candidates from Ranchi = 57000 × 6/100=3420
Difference = (25000 – 3420) = 21580

6. The average of four consecutive odd numbers is 36. What is the smallest of these numbers?
a) 31 b) 35 c) 43    d) 47 e) None of these

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ANS:e
x + x + 2 + x + 4 + x + 6 = 4 × 36

4x + 12 = 144

4x = 144 – 12 = 132

x = 132/4 = 33

7. What would be the compound interest accrued on an amount of Rs.7850 at the rate of 14% per annum in two years?
a) Rs.2351.86  b) Rs.2880.37   c) Rs.2518.22    d) Rs.2290.23  e) None of these

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ANS:a

Interest amt= 7850[(1+14/100)² -1]=2351.86

8. Mithilesh started a business by investing Rs.48000. After 7 months, Vidya joined him with a capital of Rs.56000. At the end of the year of the total profit was Rs.5885. What is the Vidya’s share of the profit?
a) Rs.3625  b) Rs.1650    c) Rs.1925    d) Rs.3960    e) None of these

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ANS: c

Mithilesh=48000*12

Vidya=56000*(12-7)

M:V==> 72:35

Vidhya’s share in total profit=5885/107 *35=1925

9. Three-fourth of one number is equal to five-sixth of another number. What is the respective ratio of the first number to the second number?
a) 12 : 11     b) 11 : 9     c) 9 : 10    d) Can’t be determined    e) None of these

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ANS: e

3/4 x=5/6 y

x/y=10/9

10. Natasha decided to spend 45% of her salary on shopping. On completion of her shopping, she realized that she had spent only Rs.11475, which was 60% of what she had decided to spent. How much is Natasha’s salary?
a) Rs.29600    b) Rs.38800    c) Rs.42500    d) Can’t be determined     e) None of these

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ANS: c

11475/60 *100/45 *100=42500