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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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Q:

The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

A) 49	B) 154
C) 378	D) 1078

Answer & Explanation Answer: B) 154

Explanation:

The diameter is equal to the shortest side of the rectangle.

So radius= 14/2 = 7cm.

Therefore, $a r e a o f c i r c l e = {πr}^{2} = \frac{22}{7} \times 49 = 154 {cm}^{2}$

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Q:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A) (43 + 5/11) min past 5	B) (43 + 7/11) min pats 5
C) 5	D) 7

Answer & Explanation Answer: B) (43 + 7/11) min pats 5

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min

40 min. spaces are gained in $\frac{60}{55} \times 40$ min

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