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Q:

I. A, B, C, D, E and F are six members of a family.

II. One couple has parents and their children in the family.

III. A is the son of C and E is the daughter of A.

IV. D is the daughter of F who is the mother of E.

Who are the male members in the family ?

A) A and C	B) C and F
C) A, B and D	D) Cannot be determined

Answer & Explanation Answer: D) Cannot be determined

Explanation:

E is the daughter of A and F is the mother of E. So, A is the father of E and hence the husband of F. Now,

D is the daughter of F. So, D and E are the daughters of A and F Also. A is the son of C.

Now, only B remains. Thus, B and C are the parents of A.

The sex of B and C cannot be determined:

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Q:

If the ratio of two squares is 225:256,then the ratio of the perimeters is

A) 25:16	B) 15:16
C) 16:15	D) 17:16

Answer & Explanation Answer: B) 15:16

Explanation:

$\frac{a^{2}}{b^{2}} = 225 / 256$

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Q:

The ratios of areas of two squares, one having its diagonal double than the other is

A) 2:1	B) 2:3
C) 3:1	D) 4:1

Answer & Explanation Answer: D) 4:1

Explanation:

ratio = $\frac{(1 / 2) \times {(2 d)}^{2}}{\frac{1}{2} d^{2}} = 4 : 1$

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Q:

The ratio of the area of a square to that of the square drawn on its diagonal is

A) 1:2	B) 2;3
C) 3:1	D) 4:1

Answer & Explanation Answer: A) 1:2

Explanation:

ratio = $\frac{a^{2}}{{(\sqrt{2 a})}^{2}}$

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Q:

The area of a square field is 69696sq.cm..its diagonal will be equal to

A) 373	B) 573
C) 473	D) 673

Answer & Explanation Answer: A) 373

Explanation:

$d = \sqrt{2 * s} = > d = \sqrt{2 * 69696}$

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Q:

If the length of the diagonal of a square is 20cm,then its perimeter must be

a. $40 \sqrt{2}$ cm b. $30 \sqrt{2}$ cm c. 10cm d. 15 $\sqrt{2}$ cm

A) a	B) b
C) c	D) d

Answer & Explanation Answer: A) a

Explanation:

We know that d=√2s

Given diagonal = 20 cm

=> s = 20/ $\sqrt{2}$ cm

Therefore, perimeter of the square is 4s = 4 x 20/ $\sqrt{2}$ = 40 $\sqrt{2}$ cm.

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Q:

The circumference of a circle, whose area is 24.64 sq.m

A) 14.64	B) 16.36
C) 17.60	D) 18.40

Answer & Explanation Answer: C) 17.60

Explanation:

${πr}^{2} = 26.64$

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Q:

The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be

A) 49	B) 70
C) 140	D) 150

Answer & Explanation Answer: C) 140

Explanation:

area of a square = $\frac{1}{2} {(d i a g o n a l)}^{2}$

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