Quantitative and Numerical Ability Test

Result

Quantitative and Numerical Ability Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

If r is the radius of the circle given below, then what is the area of the shaded region?

A
4r²

B
r²

C
4 / 3 r²

D
4r4r

E
6r

Solution
Question 2
1 / -0

A car travels a distance of 840 km at a uniform speed. If the speed is 10 kmph more, it takes 2 hours less to cover the same distance. What was the original speed of the car?

A
120 kmph

B
80 kmph

C
50 kmph

D
60 kmph

Solution

If the original speed of the car was x kmph, then

840/x - 840 / x+10 = 2

x = 60
Question 3
1 / -0

The LCM and HCF of two positive numbers is 2000 and 100, respectively. If both the numbers are 3-digit numbers, then what is the difference between them?

A
100

B
200

C
400

D
500

E
Cannot be determined

Solution

2000 / 100 = 20

20 has to be a product of two co-prime factors, i.e. 4 and 5.

Thus, the numbers are 400 and 500.

Difference = 100
Question 4
1 / -0

After spending 25% of the monthly salary on food, 12% on rental, 8% on travelling, 10% on education, 15% on clothing and 20% on entertainment, a person is left with Rs. 500. What must be his monthly salary?

A
Rs. 5000

B
Rs. 8000

C
Rs. 6000

D
Rs. 10000

E
Rs. 30000

Solution

Total spending = (25 + 12 + 18 + 10 + 15 + 20)% = 90%

Thus, his saving is 10%.

10% of salary = Rs. 500

Salary = Rs. 5000
Question 5
1 / -0

The third proportion to (x² - y²) and (x - y) is

A
(x+y) / (x-y)

B
(x-y) / (x+y)

C
(x+y)²

D
x³- y³

E
0

Solution
Question 6
1 / -0

What is the minimum interval of time when one's birthday would fall on the same day of the week?

A
4 years

B
5 years

C
6 years

D
7 years

E
9 years

Solution

The solution for this question becomes a little complex when considering leap year, rather than non-leap year.

Number of days in an year = 365 days

Since a week has 7 days, 52 weeks means 52 * 7 or 364 days, that leaves one day out.

That means, one's birthday day shifts by one day each year. If it was on a Monday this year, it will be on Tuesday next year. Coming to leap year, which has an extra day, birthday day will shift two days during a leap year. If it was on Tuesday this year, it will jump to Thursday next year. So, for every 5 years, the birthday day will be repeated, considering the first and last are leap years. It can be either 5, 6, 7, 11 or 12 years.
Question 7
1 / -0

How many cubes, each of side 8 cm, can be cut from a cuboidal wooden block of dimension 40 cm 20 cm 10 cm?

A
12

B
15

C
14

D
10

E
16

Solution

V₁ = Volume = 8³= 512 cm³

V = 40 x 20 x 10 = 8000 cm³

⇒ 8000 / 512 = 15.625

i.e. The maximum number of cubes that we can cut the given cuboidal wooden block into cube of side 8 cm is 15.
Question 8
1 / -0

Kamal started a business with Rs. 20000. After some time, Purnima joined her with Rs. 40000. At the end of the year, profit was divided between them in the ratio 6 : 7. After how many months Purnima joined the business?

A
2 months

B
3 months

C
5 months

D
4 months

E
6 months

Solution

Given:

Kamal’s investment = Rs. 20000

Purnima’s investment = Rs 40000

The ratio of profit = 6 : 7

Now,

Let Purnima joined the business after x months.

So, Purnima's money was invested for (12 − x) months.

According to question:
Question 9
1 / -0

Railway stations A and B are 300 km apart. In what time will the two trains, starting from the opposite ends and travelling towards each other with equal speeds, meet each other?

A
4 hours

B
1 hour

C
2 hours

D
8 hours

E
Cannot be determined

Solution

Data is insufficient as the speeds of the train are not known.
Question 10
1 / -0

What is the ratio of side of a square to the radius of a circle, both with equal perimeters?

A
1 : π

B
2 : π

C
π : 1

D
π : 2

E
π : 5

Solution

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Re-Attempt Weekly Quiz Competition

Quantitative and Numerical Ability Test - 8

Result

Quantitative and Numerical Ability Test - 8

Score

-

Rank

-

SHARING IS CARING

Question 1

4r2

r2

4 / 3 r2

4r4r

6r

Solution

Question 2

120 kmph

80 kmph

50 kmph

60 kmph

Solution

Question 3

100

200

400

500

Cannot be determined

Solution

Question 4

Rs. 5000

Rs. 8000

Rs. 6000

Rs. 10000

Rs. 30000

Solution

Question 5

(x+y) / (x-y)

(x-y) / (x+y)

(x+y)2

x3 - y3

0

Solution

Question 6

4 years

5 years

6 years

7 years

9 years

Solution

Question 7

12

15

14

10

16

Solution

Question 8

2 months

3 months

5 months

4 months

6 months

Solution

Question 9

4 hours

1 hour

2 hours

8 hours

Cannot be determined

Solution

Question 10

1 : π

2 : π

π : 1

π : 2

π : 5

Solution

User

Question Analysis

My Perfomance

4r²

r²

4 / 3 r²

(x+y)²

x³- y³