Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 12

Score
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Rank
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Question 1
4 / -1

In class IX, the average of marks in science for six students was 48. After result declared, it was found in case of one student, the marks 45 were misread as 54. The correct average is:

A
46.40

B
46.50

C
76.50

D
64.39

Solution

Given:

Average marks of six students are 48. The mark 45 is misread as

Average = (Sum of all entry)/(Number of total entry)

Average marks of six students are 48

Total marks of six students = 48 × 6

⇒ 288

The mark 45 is misread as 54

Sum of numbers of five students is (288 – 54) = 234

Actual sum of marks of six students = (234 + 45)

⇒ 279

The correct average = (279/6)

⇒ 46.5

∴ The correct average is 46.5
Question 2
4 / -1

Ragini and Raghav can make a carpet respectively in 3 days and 12 days more than the time taken if both of them worked together. In how many days can Ragini alone make the carpet.

A
7

B
10

C
9

D
18

Solution

Given that:

Time taken by Ragini alone = 3 days more than both of them worked together

Time taken by Raghav alone = 12 days more than both of them worked together

Let the time both of them took to make the carpet be x.

Time taken by Ragini alone = x + 3

Time taken by Raghav alone = x + 12

∴ One day of work when they both work together = Sum of their individual per day work
Question 3
4 / -1

If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?

A
10

B
12

C
13

D
15

Solution

Given scores 10, 12, 13, 15, 15, 13, 12, 10, x and mode = 15

The mode of the n observation is the number that has the highest frequency.

Frequency of score '12' = 2

Frequency of score '15' = 2

But for mode to be 15, x should be '15'.
Question 4
4 / -1

PT is a tangent drawn from P, given outside the circle, with center O touching the circle at Q. If PQ = 30 cm and the diameter of the circle is 32 cm, then what is the length of OP?

A
32

B
38

C
34

D
36

Solution
Question 5
4 / -1

3/5 of a square of a number is 126.15 then the number is:

A
210.25

B
144.25

C
14.5

D
145

Solution
Question 6
4 / -1

The greatest number of four digit which is divisible by 15, 25, 40 and 75 is:

A
9000

B
9400

C
9600

D
9800

Solution

The greatest number of four-digit is 9999.

L.C.M. of 15, 25, 40 and 75 is 600.

On dividing 9999 by 600, we get the remainder of 399.

∴ Required number = (9999 - 399) = 9600
Question 7
4 / -1

A
4

B
5

C
6

D
8

Solution
Question 8
4 / -1

Ramu works 4 times as fast as Somu. If Somu can complete a work in 20 days independently, then the number of days in which Ramu and Somu together can complete the work is:

A
4 days

B
6 days

C
3 days

D
5 days

Solution
Question 9
4 / -1

At what time will Rs. 1000 amounts to Rs. 1331 at 20% per annum compounded half-yearly?

A

B
2 years

C
1 year

D

Solution
Question 10
4 / -1

Given that △ABC ∼ △DEF, if BC = 12.5cm and EF = 10cm, then the areas of △ABC and △DEF are in the ratio of:

A
3 : 4

B
25 : 16

C
16 : 25

D
1 : 2

Solution