# IBPS PO Mains Quant 29/10/2018

**Q1. Find the ratio of ages of A and B after 15 yrs. If the ratio between the present ages of A to B is 2 : 3 and after 5 years is 3 : 4.**

5 : 6

6 : 5

3 : 4

4 : 3

2 : 1

**Q2. Two pipes X and Y can fill an empty tank in 16 and 24 hours respectively. Ravi opens these two pipes simultaneously. After 8/3 hours he comes back and sees that there was a leak in the tank. He stops the leakage and thus tank took 48/5 hours to be filled completely after closing the leak. In what time leakage will empty the filled tank?**

6.9 hrs

9.6 hrs

12.4 hrs

8.4 hrs

9.4 hrs

**Q3. A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which depreciates**

**per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately)?**

20%

26.66%

30%

25%

33.33%

Solution:

Let the amounts be Rs. 100 and Rs. 200 respectively.

The value of the 100 would become 100 × 6/7 × 6/7 = 3600/49 = 73.46

The other person’s investment of 200 would become 200 × 1.2 × 1.2 = 288

The total value would become 288 + 73.46 = 361.46

This represents approximately a 20% increase in the value of the amount after 2 year.

The value of the 100 would become 100 × 6/7 × 6/7 = 3600/49 = 73.46

The other person’s investment of 200 would become 200 × 1.2 × 1.2 = 288

The total value would become 288 + 73.46 = 361.46

This represents approximately a 20% increase in the value of the amount after 2 year.

**Q4. An electronics company sold 12 desktops at a profit of 20% and 8 desktops at a profit of 10%. If it had sold all the 20 desktops at a profit of 15%, then its profit would have been reduced by Rs. 36000. What is the cost price of each desktop?**

1,85,000

1,82,000

1,80,000

1,90,000

2,00,000

**Q5. Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days?**

**Directions (6 – 10): Given below are the tables showing total production of coffee (in million tonnes) and the percentage export from total production by three states (Tamilnadu, Karnataka and Kerala) individually for four different years. Read the following tables carefully and answer the questions.**

**Q6. What is the approximate average export of coffee (in million tonnes) in Karnataka of all years together?**

140

146

152

158

162

**Q7. Total export of coffee from Tamilnadu is approximately what percent of total production in Tamilnadu in all years together?**

41

45

49

33

37

**Q8. Export of coffee from Karnataka in 2001 and 2005 together is What percent of production in Kerala in years 2010 and 2015 together (round off to 2 decimal places)?**

57.93

65.43

59.93

53.21

47.53

**Q9. What is half of the difference between average production of coffee (in million tonnes) in Karnataka and the Same in Kerala in all mentioned years?**

19.12875

38.2575

76.515

78.2135

57.2575

**Q10. The export from Tamilnadu is maximum in which year?**

2001

2005

2010

2015

cannot be determined

Solution:

Export from Tamilnadu in 2001=40% of 295.96=118.384

In 2005=55% of 180.24=99.132

In 2010=52% of 185.25=96.33

In 2015=38% of 175.22=66.58

In 2005=55% of 180.24=99.132

In 2010=52% of 185.25=96.33

In 2015=38% of 175.22=66.58

**Directions (11 -15): What will come in place of (?) in the following number series?**

**Q11. 1643, 1594, 1513, 1392, 1223, ?**

996

989

998

992

994

Solution:

Pattern is -7², -9², -11², -13², -15², -17²

∴ ? = 1223 – 225

= 998

∴ ? = 1223 – 225

= 998

**Q12. 2, 7, 22, 67, 202, ?**

606

607

403

1213

604

Solution:

Pattern is ×3+1, ×3+1, ×3+1

∴ ? = 202 × 3 + 1

= 607

∴ ? = 202 × 3 + 1

= 607

**Q13. 5, 6, 9.5, 15, 18.5, 33, 32, ?**

51

68

58

60

63

**Q14. 4, 18, 86, 424, ?, 10550**

2211

2112

2121

2114

2210

Solution:

Pattern is ×5 – 2, ×5- 4, ×5-6, ×5-8, ×5-10

∴ ? = 424 × 5- 8

= 2112

∴ ? = 424 × 5- 8

= 2112

**Q15. 1331, 729, 343, 125, ?**

27

64

8

216

1

Solution:

Series is 11³, 9³, 7³, 5³, 3³

∴ ? = 3³

= 27

∴ ? = 3³

= 27

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