Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 8

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Weekly Quiz Competition

Question 1
4 / -1

If a+b : a-b=7 : 5, find a : b

A
6:1

B
16:5

C
7:5

D
None of these

Solution

(a+b)/(a-b)=7/5

Cross Multiplying we get

5a + 5b = 7a – 7b

12b = 2a

a/b=6/1
Question 2
4 / -1

0.125555..... =

A
113/900

B
117/990

C
37/300

D
37/330

Solution

X=0.1255555….

100x=12.5555…..Eq 1

1000x=125.5555….Eq 2

Eq 2 – Eq 1

1000x-100x=125.5555….-12.5555….

900x=113.00

X=113/900
Question 3
4 / -1

What is the positive square root of 21 + 4√5 ?

A
4 - √5

B
2 + √3

C
7 + √5

D
1 + 2√5

Solution

Squaring both the sides, we get 21+4√5 =a+ b + 2√ab

a+b=21

2√ab=4√5

i.e. ab=20

ab=20X1(satisfying a+b=21)

Hence a=20, b=1
Question 4
4 / -1

If 3^x= 5^y= 15^zthen find the value of z in terms of x and y.

A

B

C

D

Solution
Question 5
4 / -1

There are 30 employees in a company. The salaries of 10 employees are increased by 10%. The salaries of the remaining employees are increased by 20%. Find the percentage increase in the total salary of all the employees.

A
16.66%

B
33.33%

C
25%

D
20%

Solution

Let the salary of 30 employees = x = x/3 + 2x/3

If salary of 10 employees is increased by 10%, then salary of 10 employees = 1.1x/3

If salary of 20 employees is increased by 20%, then salary of 20 employees = 2.4x/3

Now salary will be = (1.1x/3) + (2.4x/3) = (3.5x)/3 = 1.1666 x

Hence total salary is increased by 16.6666 %
Question 6
4 / -1

Avinash started a business with an investment of Rs.8000. After four months Rohit joined with an investment of Rs.12000. If the annual profit was Rs.8000, Avinash’s share (in Rs) in it is_____.

A
3000

B
4000

C
6000

D
8000

Solution

Avinash should get the profit for 12 months on the amount he invested, i.e. Rs.8000

Rohit should get the profit for 8 months on the amount he invested,i.e. Rs.12000

Ratio of profits of Avinash and Rohit = (8000 x 12) : (12000 x 8) = 1:1

∴The profit should be distributed equally, i.e. 4000 each
Question 7
4 / -1

An item was sold at a price after giving two successive discounts of 20% and 50%. If the selling price of the item was Rs.552, then what was the market price of the item?

A
1380

B
1830

C
1540

D
1520

Solution

Let us consider the marked price be Rs.100

After the discount of 20%, the discount of Rs.20, the new cost price becomes Rs.80

After the consecutive discount of 50%, the discount of Rs.40 on the new cost price, makes the selling price of Rs.40 only

According to the unitary method,

The selling price becomes Rs.40 after two consecutive discounts, when the cost price was Rs.100
Question 8
4 / -1

A sum of money under compound interest triples itself in 3 years. In how many years will it become 27 times itself?

A
9

B
18

C
10

D
12

Solution
Question 9
4 / -1

Find the minimum value of the quadratic equation

5x²+ 2x-7 = -14

A
34/5

B
34

C
32/5

D
34/25

Solution

a=5, b=2, c=7
Question 10
4 / -1

A ball is dropped from a height of 15m and it rebounds 1/3^rd of the distance it falls. If it continues to fall in this way, how far will it travel before coming to rest?

A
40

B
30

C
50

D
15

Solution

In the first time ball will travel 15m.

After the first rebound, the ball will travel 15/3=5m while going up and 5m more while going down

After the first rebound, the ball will travel 5/3 m while going up and 5/3 m more while going down, and so on