aptitude mensuration mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Question :26

The area of four walls of a room is 120$m^2$. The length of the room is twice its breadth. If the height of the room is 4 m, what is area of the floor ?

Answer: (c)

area of 4 wall = 2 (l + b) h

l = 2b b = b h = 4

2 (2b + b) × 4 = 120

3b = 15

b = 5

l = 2 × 5 = 10

area = 5 × 10 = 50 $m^2$

Question :27

A clock is started at noon. By 10 minutes past 5, through what angle, the hour hand moves ?

Answer: (d)

Hour hand moves by 30° in 1 hour.

In one hour movement of hour hand = 30°

In $(5 + 10/60)$ hour movement is = 30$(5 + 10/60)$

30 = $(5 + 1/6)$

= 30 × $31/6$ = 155°

So, option (d) is correct.

Question :28

From a rectangular metal sheet of sides 25 cm and 20 cm, a circular sheet as large as possible is cut-off. What is the area of the remaining sheet?

Answer: (b)

Here width of sheet is 20 cm, which is the maximum diameter of the circular sheet.

mensuration-area-and-volume-aptitude-mcq

∴ Remaining area of sheet = Area of rectangle sheet – Area of circular sheet

= 25 × 20 – π $(10)^2 = 500 – 314 = 186 cm^2$

Question :29

The sides of a triangular field are 41 m, 40 m and 9 m. The number of rose beds that can be prepared in the field if each rose bed, on an average, needs 900 square cm space, is

Answer: (b)

Area of triangular field

= $√{s(s - a)(s - b)(s - c)}$

s = ${a + b + c}/2 = {41 + 40 + 9}/2 = 45m$

Area = $√{45 × (45 – 41) × (45 – 40) × (45 – 9)}$

= $√{45 × 4 × 5 × 36}$

= 180 $m^2 = 1800000 cm^2$

Number of rose bed = ${1800000}/{900}$ = 2000.

Question :30

mensuration-area-and-volume-aptitude-mcqA circle of 3 m radius is divided into three areas by semicircles of radii 1m and 2m as shown in the figure above. The ratio of the three areas A, B and C will be

Answer: (d)

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