mensuration area volumes Model Questions & Answers, Practice Test for ibps so prelims 2023
ibps so prelims 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Ratio & Proportion
Profit & Loss
Time & Work
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Quadratic Equations
In ΔABC, XY is drawn parallel to BC, cutting sides at X and Y, where AB = 4.8 cm, BC = 7.2 cm and BX = 2 cm. What is the length of XY?
Answer: (a)
Given
AB = 4.8 cm
BC = 7.2 and BX = 2 cm
∴ AX = AB – BX = 4.8 – 2 = 2.8 cm
ΔAXY ≈ ΔABC
∴ ${XY}/{BC} = {AX}/{AB} ⇒ XY = {AX}/{AB} . BC = {2.8}/{4.8} × 7.2$
∴ XY = 4.2 cm
In the figure given above, A is the centre of the circle and AB = BC = CD. What is the value of x?
Answer: (d)
Given that AB = BC = CD, also since AB is the radius then AB = AC = AD = radius, so we have that: AB = BC = CD = AC = AD, so basically we have two equilateral triangles ABC and ACD with common base of AC (ABC and ACD are mirror images of each other). Line segment BD cuts the angle ABC in half and since all angles in equilateral triangle equal to 60 degrees then x = 60/2 = 30 degrees.
A railroad curve is to be laid on a circle. What radius (approximate) should be used, if the track is to change direction by 25° in a distance of 120 m?
Answer: (a)
From figure, arc length PQ = ${2πr}/{360°}$ × θ
∴ 120 = ${2 × 3.14 × r × 25°}/{360°}$
⇒ r = ${120 × 360}/{2 × 3.14 × 25} = {43200}/{157}$ = 275.15 m
r = 275 m (approx)
The areas of three mutually perpendicular faces of a cuboid are x, y, z. If V is the volume, then xyz is equal to
Answer: (c)
Let sides of cuboid be a, b, c
x = $a^2$
y = $b^2$
z = $c^2$
volume of cuboid
V = a. b. c
$V^2 = a^2 b^2 c^2$
$V^2$ = x . y. z
So, option (c) is correct
It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 10 minutes. The inner radius of the pipe should be :
Answer: (b)
Let inner radius of the pipe be r.
Then, 440 = ${22}/7 × r^2$ × 7 × 10
or $ r^2 = {440}/{22 × 10}$ = 2
or r = $√2$m
ibps so prelims 2023 IMPORTANT QUESTION AND ANSWERS
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