mensuration area volumes Model Questions & Answers, Practice Test for ibps clerk prelims 2023

Answer: (d)

Here similar triangle

ΔABC ~ In ΔADE

∴ $V_1/V_2 = {1/3 π × 4r^2 × √{(2l)^2 - (2r)^2}}/{1/3 π × r^2 × √{l^2 - r^2}} = 8/1$ = 8 : 1

Answer: (a)

ΔQRS is an isosceles triangle.

∴ ∠QSR = ∠SQR = 40°

⇒ ∠PQS= ∠180° – ∠RQS = ∠140°

Again, Δ∠PQS is an isosceles triangle.

∴ ∠PQS = ∠QSR = ${180 - 140}/2 = {40}/2$ = 20°

Answer: (b)

Frustum

r = $4/2 , R = {18}/2$ , h = 24

Volume = $π/3 h [r_1^2 + r_2^2 + r, r_2]$

π x = ${22}/{7 × 3} × 24 [(2)^2 + (9)^2 + 2 × 9] = 824 cm^3$

Answer: (a)

When two chords of a circle are intersect internally, then they are divided in a proportion.

i.e., PX . PY = PZ . PT

In ΔPXZ and ΔPTY,

∠ZPX = ∠YPT

(vertically opposite angles)

∠PZX = ∠PYT

(angle in same segment)

∠PXZ = ∠PTY

(angles in same segment)

∴ ΔPXZ ∼ ΔPTY

Hence, the both statements are correct.

Answer: (c)

Distance covered in one revolution ∼

= 2π × 30 = 60π cm ∼

Distance covered in one minute by 140 revolutions ∼

= 140 × 60 π cm ∼

Distance covered in one hour ∼

= 140 × 60 π × 60 cm = 15.82560 cm = 15.825 km ∼

So, option (c) is correct. ∼