**Mensuration Questions for RRB NTPC Set – 2 PDF**

Download RRB NTPC Mensuration Questions and Answers set – 2 PDF. Top 10 RRB NTPC Mensuration questions based on asked questions in previous exam papers very important for the Railway NTPC exam.

Download Mensuration Questions for RRB NTPC Set – 2 PDF

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**Question 1:Â **A hemi sphere of radius of 7 cm is surmounted on a cylinder of same radius and height 7 cm, then find itâ€™s curved surface area ( in sq.cm) ?

a)Â 616

b)Â 620

c)Â 600

d)Â 626

**Question 2:Â **Find the area of trapezium PQRS, PQ=8 cm, RS=4 cm & height of trapezium is 6 cm ?

a)Â 20 sq.cm

b)Â 24 sq.cm

c)Â 28 sq.cm

d)Â 36 sq.cm

**Question 3:Â **Find the ratio of the volumes of a cylinder of height 4cm, radius 6cm and a cone of height 6cm and radius 4cm ?

a)Â 3:1

b)Â 9:2

c)Â 18:2

d)Â 9:4

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**Question 4:Â **Find the perimeter of a rectangle whose length is 9 cm and breadth is equal to the side of a square of area 36 sq.cm ?

a)Â 28 cm

b)Â 30Â cm

c)Â 32Â cm

d)Â 34Â cm

**Question 5:Â **Find the area of trapezium ABCD, AB=7 cm, CD=5 cm & height of trapezium is 4 cm ? It is known that AB is parallel to CD

a)Â 20 sq.cm

b)Â 24 sq.cm

c)Â 28 sq.cm

d)Â 32 sq.cm

**Question 6:Â **Find the no.of cubes of side 2cm, that can be extracted from a cuboid of length 12 cm, breadth 8 cm and height 10 cm ?

a)Â 100

b)Â 120

c)Â 140

d)Â 160

**Question 7:Â **If internal angle of a regular polygon is 120Â°, then find the number of diagonals in the polygon ?

a)Â 8

b)Â 9

c)Â 10

d)Â 11

**Question 8:Â **Find the area of a parallelogram of height 5cm and having base equal to 8cm ?

a)Â 20 sq.cm

b)Â 40 sq.cm

c)Â 60 sq.cm

d)Â 80 sq.cm

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**Question 9:Â **Find the area of a sector of a circle of radius 7cm, with central angle 51Â° (approx) ?

a)Â 11 sq.cm

b)Â 14 sq.cm

c)Â 22 sq.cm

d)Â 26 sq.cm

**Question 10:Â **Find the height of a cuboid of total surface area 94 sq cm, if its length and breadth are 4m and 5m respectively ?

a)Â 1 cm

b)Â 2 cm

c)Â 3 cm

d)Â 4 cm

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**Answers & Solutions:**

**1)Â AnswerÂ (A)**

Total curved surface area = $2\pi rh + 2\pi r^2$ = $2(22/7)(7)(7) + 2(22/7)(7)^2 = 616sq.cm$

So the answer is option A.

**2)Â AnswerÂ (D)**

Area of trapezium = $\frac{1}{2}$(sum of parallel sides)$h$ = $\frac{1}{2}(8+4)(6) = 36$sq.cm

So the answer is option D.

**3)Â AnswerÂ (B)**

Vol.of cylinder : Vol.of cone

= $\pi r^2 h : \frac{1}{3}\pi r^2 h$

= $\pi (6)^2(4) : \frac{1}{3}\pi (4)^2(6)$

= $18 : 4$

= $9 : 2$

So the answer is option B.

**4)Â AnswerÂ (B)**

Length of rectangle = 9 cm

Breadth = side of square = âˆš36 = 6 cm

Perimeter = 2(l+b) = 2(9+6) = 30cm

So the answer is option B.

**5)Â AnswerÂ (B)**

Area of trapezium = $\frac{1}{2}(a+b)h = \frac{1}{2}(7+5)(4) = 24sq.cm$

So the answer is option B.

**6)Â AnswerÂ (B)**

Volume of cuboid = lbh = 12*8*10 = 960 cmÂ³

Volume of cube = 2Â³ = 8 cmÂ³

No.of cubes = $\frac{960}{8} = 120$

So the answer is option B.

**7)Â AnswerÂ (B)**

If internal angle of a regular polygon is 120Â°, it is regular hexagon,

No.of diagonals of a polygon of n sides = $n(n-3)/2 = 6(6-3)/2 = 6(3)/2 = 9$

So the answer is option B.

**8)Â AnswerÂ (B)**

Area of parallelogram = base*height = 8*5 = 40 sq.cm

So the answer is option B.

**9)Â AnswerÂ (C)**

Area of sector = $\frac{x}{360}\times \pi (r)^2$ = $\frac{51}{360}\times \frac{22}{7}(7)^2 \sim 22sq.cm$

So the answer is option C.

**10)Â AnswerÂ (C)**

Let h be the height, then

2(lb+bh+hl) = 94

2(20+4h+5h) = 94

(20+9h) = 47

9h = 27

h = 3

So the answer is option C.

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