mensuration Model Questions & Answers, Practice Test for ibps clerk prelims 2024

Answer: (d)

Radius (r) = 5 cm

Total surface area = 660 $cm^2$

⇒ 2πrh + 2π$r^2$ = 660

⇒ 2πr (h + r) = 660

⇒ (h + 5) = ${330}/{5π} = {330}/5 × ∼ 7/{22}$

⇒ h = ${66 × 7}/{22}$ - 5 = 21 - 5 = 16cm.

Answer: (c)

Volume of tank = 20 × 15 × 6 $m^3$

= 20 × 15 × 6 × 1000 litre

∴ The water of the tank will last for

${20 × 15 × 6 × 1000}/{150 × 4000}$ days.

i.e. The water of the tank will last for 3 days.

Answer: (a)

Since, BL is bisector of ∠ABC.

∠MBL = ∠LBC = x (say)

Also, ML ||BC

∠LBC = ∠MLB = x ⇒ ∠MLB = ∠MBL

ΔBLM is an isosceles triangle and ∠BML need not to be 90°.

ΔBML is isosceles but not right angled.

Answer: (a)

Since, the radius of semicircle = slant height of the cone = r

And the circumference of semicircle = circumference of base of cone.

πr = 2πR ⇒ $r/2$ = R.

In ΔOAB

sin θ = $R/r = {r/2}/r = 1/2$ = sin 30°

θ = 30°

Answer: (c)

Radius of the wheel of bus = 70 cm. Then,

circumference of wheel = 2 πr = 140 π = 440 cm

Distance covered by bus in 1 minute

= ${66}/{60}$ × 1000 × 100 cms

Distance covered by one revolution of wheel

= circumference of wheel

= 440 cm

∴ Revolutions per minute = ${6600000}/{60 × 440}$ = 250