Quantitative and Numerical Ability Test

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Quantitative and Numerical Ability Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

If x/15 * x / 135 = 1, then x is equal to

A
15

B
45

C
27

D
54

E
23

Solution

x/15 * x/135 = 1

x² = 15 x 135

x = 45
Question 2
1 / -0

A shopkeeper purchased 70 books at the rate of Rs. 2 per book. Out of these, 2 books were damaged. At what rate should he sell the remaining books to earn 20% profit?

A
Rs. 2.47 per book

B
Rs. 2.50 per book

C
Rs. 3 per book

D
Rs. 3.20 per book

E
Rs. 8.20 per book

Solution

The shopkeeper has spent 70 x 2 = 140 rupees

To have a profit of 20%, he should sell them for 140 + 28 = 168 rupees

Number of remaining books = 68

SP per book = 168/ 68 = 2.47
Question 3
1 / -0

If 25% of a number is greater than another number by 5 and the sum of the numbers is 70, then what is the ratio of the larger number to the smaller number?

A
6 : 1

B
3 : 1

C
5 : 1

D
4 : 1

E
9 : 1

Solution

Let the numbers be x and y.

Then, 25% of x = y + 5

or, x = 4y + 20

And x + y = 70.

or, 4y + y + 20 = 70

or, 5y = 50

Thus, y = 10 and x = 60.

Hence, required ratio = x : y = 6 : 1
Question 4
1 / -0

The average of 6 numbers is 19. If the average of 5 of these is 20, then what is the sixth number?

A
14

B
24

C
38

D
19

E
24

Solution

Total of 6 numbers = 6 x 19 = 114

Total of the first 5 numbers = 5 x 20 = 100

Sixth number = 114 - 100 = 14
Question 5
1 / -0

1/5 of 2/3 of 6/7 of a number is 8. What is the number?

A
72

B
68

C
84

D
70

E
60

Solution

Let the number be 'x'.

1/5 of 2/3 of 6/7 of x = 8

1/5 * 2/3 * 6/7 *x =8

4/35 * x =8

x = 70
Question 6
1 / -0

An alarm clock gives out siren as follows. One time at 1 o`clock, 2 times at 2 o`clock, 3 times at 3 o`clock and so on. Further, it gives siren only once at half-past an hour. During a span of 24 hours, how many times would it give the siren?

A
324

B
180

C
178

D
360

E
345

Solution

As per the question, the siren would be given 1 + 2 + 3….. + 12 times in 12 hours i.e. ∑12

=12 x 13/2 = 78

There would be 24 sirens for the half-past an hour per 24 hours.

Hence, 156 + 24 = 180 sirens
Question 7
1 / -0

An autorickshaw charges Rs. 4.50 up to the first 2 km and then, Rs. 0.60 for every km thereafter. If a person travels `k` km (k > 2), then how much would he have to pay?

A
4.50 * 0.6(k + 2)

B
4.50 - 0.6(k + 2)

C
4.50 + 0.6(k - 2)

D
4.50 / 0.6(k + 2)

E
Cannot be determined

Solution

The fare for the first 2 km is 4.5 and 0.6(k - 2) for the remaining distance. Hence, he pays 4.5 + 0.6(k - 2).
Question 8
1 / -0

An elevator has a capacity of 12 adults or 20 children. How many adults can board the elevator with 15 children?

A
4

B
5

C
3

D
6

E
7

Solution
Question 9
1 / -0

Find the sum of the following series.

20 + 21 + 22 + … + 50

A
1065

B
1106

C
1085

D
700

E
985

Solution
Question 10
1 / -0

A wholesaler charges the price of 27 pens for 30 pens to a retailer. The retailer sells them at the marked price. What is the gain for the retailer?

A
33 1/3%

B
10%

C
30%

D
11 1/9%

E
None of these

Solution

Let the SP of the pen be Re. 1 (for easy calculation)

Given that CP of 30 pens = SP of 27 pens = Rs. 27

For the retailer, the SP of 30 pens is Rs. 30

Profit % = 30 - 27/27 * 100 = 11 1/9%

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Re-Attempt Weekly Quiz Competition

Quantitative and Numerical Ability Test - 5

Result

Quantitative and Numerical Ability Test - 5

Score

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SHARING IS CARING

Question 1

15

45

27

54

23

Solution

Question 2

Rs. 2.47 per book

Rs. 2.50 per book

Rs. 3 per book

Rs. 3.20 per book

Rs. 8.20 per book

Solution

Question 3

6 : 1

3 : 1

5 : 1

4 : 1

9 : 1

Solution

Question 4

14

24

38

19

24

Solution

Question 5

72

68

84

70

60

Solution

Question 6

324

180

178

360

345

Solution

Question 7

4.50 * 0.6(k + 2)

4.50 - 0.6(k + 2)

4.50 + 0.6(k - 2)

4.50 / 0.6(k + 2)

Cannot be determined

Solution

Question 8

4

5

3

6

7

Solution

Question 9

1065

1106

1085

700

985

Solution

Question 10

33 1/3%

10%

30%

11 1/9%

None of these

Solution

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Question Analysis