mensuration Model Questions & Answers, Practice Test for ssc mts tier 1 2024

Answer: (a)

Let length of the cube be a

$6a^2$ = 13254

$a^2$ = 2209

a = 47

Length of diagonal = 47 $√2$ cm

Answer: (c)

∵ Volume of wax balls = $4/3 π(1)^3 = 4/3 π cm^3$

Volume of sphere = $4/3 π (8)^3$

∴ Required number of balls

= ${4/3 π (8)^3}/{4/3 π}$ = 512

Answer: (a)

In a right angle triangle. Its orthocentre lies on the triangle

Answer: (a)

Length of frame = 30 + 2.5 × 2 = 35 inch

Breadth of frame = 20 + 2.5 × 2 = 25 inch

Now, area of picture = 30 × 20 = 600 sq. inch

Area of frame = (35 × 25) – 600 = 275

${\text"Area of picture"}/{\text"Area of frame"} ={600}/{275} = {24}/{11} ≈ 2$

Area of picture ≈ 2 × Area of frame

Answer: (b)

c = b – r + a – r

c = a + b – 2r

2r = a + b – c

∴ r = ${a + b - c}/2$