Q.1 In a group of 15 students 7 read French, 8 read English, while 3 of them read none of these two. How many of them read French & English both?

A) 0

B) 3

C) 4

D) 5

Ans. B

Let circles A & B represent people who read French & English respectively

X = Students who read French

Y = Students who read French & English both

Z = Students who read English

( X + Y + Z) + 3= 15

So, (X + Y + Z) = 15-3

=12

(X+Y) = 7

(Y+Z) = 8

Thus, (X+2Y+Z) =15

Subtracting 1 from 2

Y=15-12

=3

Directions: A publishing firm publishes newspaper A, B & C. In an attempt to persuade advertisers to insert advertisements in these newspapers, the firm sends out the following statements to possible advertisers:

A survey of representative sample of the whole population shows that:

Newspaper A is read by 26%

Newspaper B is read by 25%

Newspaper C is read by 14%

Newspaper A + B are read by 11%

Newspaper B + C are read by 10%

Newspaper A + C are read by 9%

Newspaper C only is read by 00%

Q.2 The %age of readers who read all three newspapers is:

A) 1

B) 4

C) 5

D) 6

Ans. C

%age of readers who read all three newspapers is represented by U =

= 5%

Q.3 The %age of readers who read A & B but not C

A) 2

B) 4

C) 5

D) 6

Ans. D

%age of readers who read (A+B) but not C is represented by S =

=6%

Q.4 The %age of readers who read atleast one of the three newspapers is

A) 40

B) 50

C) 60

D) 65

Ans. A

The %age of readers who read atleast one of the three newspapers is represented by P+Q+R+S+T+U+V

= 11+9+0+6+4+5+5

= 40%

EXPLANATION:

Suppose the no. of persons= 100

On the basis of information:

(P+S+U+T) = 26…….(i)

(S+Q+U+V) = 25……(ii)

(T+U+V+R) = 14……(iii)

(S+U) = 11…..(iv)

(U+V) = 10……(v)

(T+U) =09…….(vi)

R =00…….(vii)

From eq. (iii),(vi) & (vii)

(T+U+V+R) = 14

9+V+0 = 14

V = 5

U = 5

From eq.(iii) we have

T+U+V+R = 14

T+5+5+0 = 14

T = 4

From (iv) we have

S =6

From (ii), we have

Q+6+5+5 = 25

Q = 9

P= 11

Q= 9

R= 0

S= 6

T= 4

U= 5

V= 5

Q.5 A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.

A) 1 %

B) 2 %

C) 0 %

D) 4 %

Ans. C

Explanation:

Since 3x / 2 = x / (2 / 3)