Quantitative and Numerical Ability Test

Result

Quantitative and Numerical Ability Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The difference between compound interest and simple interest at the same rate for Rs. 5000 for 2 years is Rs. 72. The rate of interest per annum is

A
6%

B
8%

C
10%

D
12%

E
14%

Solution

For the first year,

SI = 50R and CI = 50R

For the second year,

SI = 50R and CI =( 5000+50R)R*1 / 100

Difference of 72 is due to the difference in the second year.

(50 +R/2 )R - 50R = 72

R²/2 = 72

R = 12%
Question 2
1 / -0

Milk and water are mixed in the ratio 4 : 1 to form solution A and in the ratio 3 : 2 to form solution B. A man takes equal quantities of solutions A and B and mixes them together. What is the ratio of quantities of milk to that of water in the mixture so formed?

A
7 : 3

B
1 : 1

C
3 : 7

D
3 : 2

E
3 : 5

Solution

Let quantity of solutions A and B be 1 litre each.

Therefore, milk in solution A is 4 /5 and milk in solution B is 3/5 .

Therefore, total milk = 4/5 + 3/5= 7/5

Hence, the ratio of milk to water = 7/5 : 3/5 = 7 : 3
Question 3
1 / -0

The average age of a couple was 26 years at the time of their marriage. After 11 years of marriage, the average age of the family, with 3 children, becomes 19 years. What is the average age of each child?

A
8 years

B
6 years

C
7 years

D
11 years

E
13 years

Solution

Total age of the couple at the time of marriage = 26 x 2 = 52

Total age of family after 11 years = 5 x 19 = 95

Total age of couple after 11 years = (26 + 11) x 2 = 74

Total age of children = 95 - 74 = 21

Average age of each child = 21/3 = 7 years
Question 4
1 / -0

100 men are to sit in a room, which is 25 m long and 9.8 m wide. If a man needs 12.25 cubic metres of air space, then the minimum height of the room should be

A
2.5 m

B
15 m

C
10 m

D
5 m

E
7 m

Solution

The volume of air required for 100 men is 100 x 12.25.

Volume of the room = 25 x 9.8 x h

25 x 9.8 x h = 100 x 12.25

h = 5 m
Question 5
1 / -0

Six examiners, working 5 hours a day, can check 750 answer books in 8 days. At the same rate of checking, in what period of time can 4 examiners examine 800 answer books by working 8 hours a day?

A
4 days

B
8 days

C
9 days

D
12 days

E
14 days

Solution

Number of days = 8 x 6/4 * 800 /750 * 5/8 = 8 days
Question 6
1 / -0

In a bag, there are coins of 20 paise, 25 paise and 50 paise in the ratio 5 : 4 : 2. If the total amount in the bag is Rs. 24, then how many 20 paise coins does the bag contain?

A
50

B
40

C
100

D
60

E
120

Solution

Take five 20 paise coins, four 25 paise coins and two 50 paise coins which amount to Rs. 3.

24/3 = 8 times

Thus, the number of 20 paise coins = 5 x 8 = 40
Question 7
1 / -0

The floor of the rectangular room of size 10 m (length) x 8.5 m (width) x 8.5 m (height) is to be carpeted, so as to leave a margin of 1.25 m from all sides. What would be the area of the carpet required?

A
45 m²

B
40 m²

C
60 m²

D
90 m²

E
30 m²

Solution

We are leaving a margin of 1.25 on the floor, then the area to be carpeted would be

= (10 - 2(1.25)) x (8.5 - 2(1.25))

= 7.5 x 6

= 45 m²
Question 8
1 / -0

A trader mixes two varieties of tea costing Rs. 40 per kg and Rs.50 per kg in the ratio 5 : 4. If the mixture is sold at Rs. 48 per kg, then what is the gain percentage?

A
7.5%

B
8%

C
2.5%

D
5%

E
10%

Solution

Let us take the two variables as 5 kg and 4 kg.

5(40) + 4(50) = Rs. 400

Since the cost of mixture of 9 kg at 48 per kg.

SP = 48 x 9 = 432

Hence, profit % = 432-400 / 400 *100 = 8%
Question 9
1 / -0

Which of the following numbers cannot come at the units digit of a perfect cube?

A
2

B
4

C
7

D
8

E
None of these

Solution

2 comes at units digit of the cube of a number ending with 8.

4 comes at units digit of the cube of a number ending with 4.
Question 10
1 / -0

Two poles of height 35 m and 20 m stand on a plane surface. If the distance between their feet is 20 m, then what is the distance between their tops?

A
50 m

B
25 m

C
40 m

D
55 m

Solution

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Re-Attempt Weekly Quiz Competition

Quantitative and Numerical Ability Test - 6

Result

Quantitative and Numerical Ability Test - 6

Score

-

Rank

-

SHARING IS CARING

Question 1

6%

8%

10%

12%

14%

Solution

Question 2

7 : 3

1 : 1

3 : 7

3 : 2

3 : 5

Solution

Question 3

8 years

6 years

7 years

11 years

13 years

Solution

Question 4

2.5 m

15 m

10 m

5 m

7 m

Solution

Question 5

4 days

8 days

9 days

12 days

14 days

Solution

Question 6

50

40

100

60

120

Solution

Question 7

45 m2

40 m2

60 m2

90 m2

30 m2

Solution

Question 8

7.5%

8%

2.5%

5%

10%

Solution

Question 9

2

4

7

8

None of these

Solution

Question 10

50 m

25 m

40 m

55 m

Solution

User

Question Analysis

My Perfomance

45 m²

40 m²

60 m²

90 m²

30 m²