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Quantitative Aptitude

Data Interpretation

Read the information given below carefully and answer the questions based on it. There are three person A, B and C who administered and attempted que

Reading Comprehension

Read the information given below carefully and answer the questions based on it.
There are three person A, B and C who administered and attempted questions in a test. Total questions attempt by B is half of the number questions administered by him, while the number of questions attempt by B and C is same. The number of questions administered by C is 240. The sum of number of questions attempted by A and C is 270. The number of questions administered by A is 60 less than that of B. The total number of questions administered by A, B and C is 100% more than total number questions attempted by them.

1) Question

The number questions attempt by C is how many more or less than the number of questions administered by B.

A.

180

B.

140

C.

190

D.

200

E.

110

Solution

Correct option is A

Let total questions administered by B = 2x
So, total questions attempt by B = 2x ×1/2=x
And, total number of questions attempted by C = x
Total questions attempted by A = 270 – x
Total number of questions administered by A = 2x – 60
ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
540+2x = 4x+180
2x = 360
x = 180

Person	Administered Questions	Attempt Questions
A	300	90
B	360	180
C	240	180

Required difference = 360 – 180 = 180

2) Question

Number of questions administered by A is what percentage more or less than the number questions attempt by B?

A.

75%

B.

25%

C.

20%

D.

40%

E.

66.67%

Solution

Correct option is E

Let total questions administered by B = 2x
So, total questions attempt by B = 2x ×1/2=x
And, total number of questions attempted by C = x
Total questions attempted by A = 270 – x
Total number of questions administered by A = 2x – 60
ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
540+2x = 4x+180
2x = 360
x = 180

Person	Administered Questions	Attempt Questions
A	300	90
B	360	180
C	240	180

Required percentage = (300-180)/180×100=66.67%

3) Question

Find the ratio of the number of questions administered by A to that of B.

A.

5:6

B.

6:5

C.

1:6

D.

2:7

E.

6:7

Solution

Correct option is A

Let total questions administered by B = 2x
So, total questions attempt by B = 2x ×1/2=x
And, total number of questions attempted by C = x
Total questions attempted by A = 270 – x
Total number of questions administered by A = 2x – 60
ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
540+2x = 4x+180
2x = 360
x = 180

Person	Administered Questions	Attempt Questions
A	300	90
B	360	180
C	240	180

Required ratio = 300 : 360 = 5:6

4) Question

Find the difference between the number questions attempt by A and B together the number of questions administered by B and C together.

A.

270

B.

330

C.

240

D.

210

E.

180

Solution

Correct option is B

Let total questions administered by B = 2x
So, total questions attempt by B = 2x ×1/2=x
And, total number of questions attempted by C = x
Total questions attempted by A = 270 – x
Total number of questions administered by A = 2x – 60
ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
540+2x = 4x+180
2x = 360
x = 180

Person	Administered Questions	Attempt Questions
A	300	90
B	360	180
C	240	180

Required difference = (360+240) - (180+90) = 330

5) Question

. If the number questions attempt by D is 20% more than that of A, then number of questions administered by C is what percentage of the the number questions attempt by D?

A.

375%

B.

225%

C.

125.5%

D.

123.33%

E.

222.22%

Solution

Correct option is E

Let total questions administered by B = 2x
So, total questions attempt by B = 2x ×1/2=x
And, total number of questions attempted by C = x
Total questions attempted by A = 270 – x
Total number of questions administered by A = 2x – 60
ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
540+2x = 4x+180
2x = 360
x = 180

Person	Administered Questions	Attempt Questions
A	300	90
B	360	180
C	240	180

Number questions attempt by D = 120/100×90=108
Required percentage = 240/108×100=222.22%

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