Indian Bank Po Mains Quant 11TH Oct 2018




Directions (1-5): Study the information given below carefully and answer the questions related to it. 

In sector 40 of Cyber park, Gurugram, there are 2400 people who play three different type of sports Tennis, Volleyball and Badminton. 56% of total population play Badminton. 44% of total population play Volleyball. 240 people play both Badminton and Volleyball. 8% of total population play Tennis and Volleyball both. The total population who play Tennis is 24%. The people who play all the three types of games viz Tennis, Volleyball and Badminton are 4% of total population. 

Q1. The population who play Tennis and Badminton both is approximately what percent of people who play Tennis?
40%
42%
48%
49%
45%
Solution:


Q2. What is the average number of people who play Badminton only, Volleyball only and Tennis only?
648
662
640
650
658
Solution:

Q3. What is the total number of people who play only Tennis and Volleyball both and only Tennis and Badminton both ?
240
246
236
256
242
Solution:

Q4. If the ratio of male to female is 13 : 9 in that population who play Volleyball then the total number of males who play Volleyball are what percent of total population of given sector?
24%
26%
28%
30%
32%
Solution:

Q5. What is the difference between people who play Badminton only and Volleyball only?
244
238
235
240
245
Solution:

Q6. A and B started a business in partnership by investing Rs 10,000 and Rs 4000 respectively. Condition of partnership is that B got Rs 100 per month for management of the business. Remaining profit has to be distributed in the ratio of their investments. Find the share of their profit, if the annual profit is Rs 4000.
Rs 3000 each
Rs 2500 each
Rs 1500 each
Rs 2000 each
Rs 1800 each
Solution:
Ratio of investments of A and B =10,000: 4000
= 5: 2
Profit of A = 5x
Profit of B = 2x + 12 × 100
A/q,
7x + 1200 = 4000
x = 400
Profit of A = 2000
Profit of B = 4000 – 2000 = 2000

Q7. A cylindrical flask, whose circular part has a diameter of 35 cm is filled with water up to a height of 24 cm. A solid iron spherical ball of radius 12 cm is dropped in the flask to submerge completely in water. Find the increase in the level of water (in cm) (rounded off to two decimal places).
8.56
8.24
7.88
7.52
6.52
Solution:

Q8. Marked price of two articles is Rs.2800 each. One is sold at a discount of 24% and the other for Rs. 1200 more than the marked price. If the net profit is 25%. Find the total cost price of articles.
Rs. 4,500.5
Rs. 4,902.4
Rs. 4,800
Rs. 4,600.25
Rs. 5,400.6
Solution:

Q9. Several litres of alcohol drawn off a 72 litre vessel full of alcohol and equal amount of water added. Again, the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 18 litres of pure alcohol. How much the alcohol was drawn off initially?
30 litres
37 litres
39 litres
36 litres
35 litres
Solution:

Q10. The simple interest on a sum of money will be Rs. 450 after five years. What will be the total interest at the end of 12th year?
Rs. 1200
Rs. 1080
Rs. 1100
Rs. 1000
Rs. 800
Solution:
Simple interest on sum after 5 years = 450
Simple Interest for 1 year = 90
Simple Interest for 12 year = 90 × 12 = 1080

Directions (11-15): Find the wrong number in the following number series. 

Q11. 3, 8, 27, 112, 560, 3396
8
560
27
3396
112
Solution:
Pattern is ×2+2, ×3+3, ×4+4, ×5+5, ×6+6
∴ Wrong term = 560 ≠ 112 × 5 + 5 = 565

Q12. 1162, 1167, 1182, 1207, 1242, 1285
1167
1182
1285
1242
1207
Solution:
Pattern is +5×1, +5×3, ×5+5, +5×7, ×5×9
∴ Wrong term = 1285 ≠ 1242 + 45 = 1287

Q13. 7, 29, 5, 31, 3, 33, 2
2
31
33
5
29
Solution:
Pattern is +22, –24, +26, –28, +30, -32

Q14. 223, 287, 359, 439, 529, 623
439
287
623
529
359
Solution:
Series is
15² – 2 = 223
17² - 2 = 287
19² – 2 = 359
21² – 2 = 439
23² - 2 = 527
25² – 2 = 623
∴ wrong term = 529

Q15. 2, 3, 11, 65 , 519, 5190
3
5190
11
65
519
Solution:
Pattern is ×2- 1, ×4–1, ×6 – 1, ×8–1, ×10–1
∴ Wrong term = 5190 ≠ 519 × 10 – 1 = 5189

               

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