Quantitative Aptitude Quiz - 29 | Bank exams

1. Shobha's Mathematics test had 75 problems i.e 10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions she would have needed to earn a 60% passing grade? 

1. 1
2. 3
3. 5
4. 4
5. 6

2. If 50% of (x - y) = 30% of (x + y), then what percent of x is y?

1. 23
2. 21
3. 24
4. 27
5. 25

3. Alfred started a business investing Rs 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs 16,500. Find Peter's share.

1. 6600
2. 3300
3. 1100
4. 2200
5. 6000

4. A, B and C enter into a partnership. A invests 3 times as much as B invest and B invest two - third of what C invests. At the end of the year, the profit earned is Rs 6600. Find B's share.

1. 1100
2. 1000
3. 1400
4. 1200
5. 1110

5.Adam borrowed some money at the rate of 6% p.a for the first two years, at the rate of  9% p.a. for the next three years, and at the rate of 14% p.a for the period beyond five years. If he pays a total interest of Rs 11,400 at the end of nine years, how much money did he borrow?

1. 12,000
2. 22,000
3. 10,000
4. 13,000
5. 14,000

Directions(6 - 10): Find the missing number in each series

6.  16        33       65       131       261      ? 

1. 523
2. 521
3. 613
4. 721

7.  7      26       63       124       215       342     ?

1. 481
2. 511
3. 391
4. 421

8.  165       195       255       285       345       ?

1. 375
2. 420
3. 435
4. 390

9.  71       76       69       74       67       72       ?

1. 77
2. 65
3. 80
4. 76

10. 9       12       11       14        13       ?       15

1. 12
2. 16
3. 10
4. 17

Answers

1.(3)
Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35) = 7 + 12 + 21 = 40.
Questions to be answered correctly for 60% grade = 60% of 75 = 45
Required number of Questions = 45 - 40 = 5.

2.(5)
50% of ( x - y) = 30% of ( x + y)
5 ( x - y) = 3 ( x + y)
2x = 8y
x = 4y
Required percentage = (y/x x 100)% = 25%

3.(1)
Ratio of their capitals = (45000 x 12) : (60000 x 9) : (90000 x 3)
= 540000 : 540000 : 270000
= 2 : 2 : 1
Peter's share = 16500 x 2/5 = 6600

4.(4)
Let C's capital be x. Then B's capital = Rs 2x/3
A's capital = Rs( 3 x 2x/3) = Rs 2x
Ratio of their capital's = 2x : 2x/3 : x = 6 : 2 : 3.
Hence B's share = Rs(6600 x 2/11) = Rs 1200

5.(1)
Let the sum borrowed be y. Then,
(y x 6 x 2)/100 + (y x 9 x 3)/100 + (y x 14 x 4)/100 = 11400
solving the above equation, we get y = 12,000

6.(1)
Each number is twice the preceding one with 1 added or subtracted alternately.
So, the next number is ( 2 x 261 + 1) = 523.

7.(2)
Numbers are (2^3 - 1), (3^3 - 1), (4^4 - 1) and so on
So, next number is (8^3 - 1) = 511.

8.(3)
Each number is 15 multiplied by a prime number i.e, 15 x 11, 15 x 13, 15 x 17, 15 x 19, 15 x 23.
So, the next number is 15 x 29 = 435

9.(2)
Alternately, we add 5 and subtract 7.

10.(2)
Alternately, we add 3 and subtract 1.