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
Solution:

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
Solution:

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.

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
Solution:

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?
 
 
 
 
 
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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

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

Q12. 2, 7, 22, 67, 202, ?
606
607
403
1213
604
Solution:
Pattern is ×3+1, ×3+1, ×3+1
∴ ? = 202 × 3 + 1
= 607

Q13. 5, 6, 9.5, 15, 18.5, 33, 32, ?
51
68
58
60
63
Solution:

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

Q15. 1331, 729, 343, 125, ?
27
64
8
216
1
Solution:
Series is 11³, 9³, 7³, 5³, 3³
∴ ? = 3³
= 27

               

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