mensuration area volumes Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

Answer: (a)

In ΔABC,

BX = $5/2$ cm, CX = $5/2$ cm

and AX = $√3/2 × 5 = {5√3}/2$ cm

AY and BC are the chord of circle.

∴ AX × XY = BX × XC

⇒ ${5 √3}/2. ∼ XY = 5/2 . 5/2$

⇒ XY = $5/{2√3}$

∴ AX.AY = $({5√3}/2 + 5/{2√3}) × {5√3}/2 = 25 cm^2$

Answer: (b)

Option (b) by definition

Answer: (d)

Number of cylindrical boxes that can be packed in the drum

= ${π × (15)^2 × 100}/{π × (5)^2 × 10}$ = 90

So, option (d) is correct.

Answer: (c)

Let two lines AB and CD intersect each other as shown in the fig. such that

∠AOD = x

Then, ∠AOC = 5x

Now, ∠AOD + ∠AOC = ∠COD = 180°

x + 5x = 180°

6x = 180° ⇒ x = 30°

Now, ∠AOD = ∠BOC = x = 30°

and ∠AOC = ∠BOD = 5x = 150°

Answer: (d)

I. It is true that opposite angles of a cyclic quadrilateral are supplementary.

II. It is also true that the angle subtend by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Hence, both statements are individually true but neither statements implies of each other.