# 1000+ Numerical Aptitude Questions and Answers Pdf - 1

Question: 1

A hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to be filled into cylindrical container of diameter 4 cm and height 3 cm. The number of containers that is necessary to empty the bowl is

(A) 80

(B) 86

(C) 96

(D) 106

Ans: C

Volume of hemispherical bowl = $$({2/3} × Π × 12 × 12 × 12)$$ cm^{3}.

Volume of 1 cylindrical container = (Π × 2 × 2 × 3) cm^{3}

∴ Number of containers required = $${2}/{3}$$ × $${12 × 12 × 12} / {2 × 2 × 3}$$ = 96.

Question: 2

The base of a right prism is a trapezium whose lengths of two parallels sides are 10 cm and 6 cm and distance between them is 5 cm. If the heights of the pris2m is 8 cm, its volume is

(A) 300 cm^{3}

(B) 310 cm^{3}

(C) 320 cm^{3}

(D) 340 cm^{3}

Ans: C

Length of parallel side of prism = 10 cm and 6 cm

Height of prism = 8 cm

∴ Volume of prism = $${1}/{2}(10 + 6) × 5 × 8$$

=$${1}/{2}× 16 × 5 × 8$$ = 320 cm^{3}.

Question: 3

Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures 3 cm, then what is the total surface area of the solid body thus formed?

(A) 225 cm^{2}

(B) 234 cm^{2}

(C) 244 cm^{2}

(D) 274 cm^{2}

Ans: B

Clearly, each of the 5 faces of the given cube are glued to a face of another cube.

∴ Total surface area of the solid 5 × 5a^{2} + a^{2} = 26a^{2}

= (26 × 3^{2})cm^{2} = 234 cm^{2}.

Question: 4

An open box is made of wood 3 cm thick. Its external dimensions are 1.46 m, 1.16 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq. cm is

(A) 177

(B) 187

(C) 277

(D) 377

Ans: C

Internal length = (146 - 6) cm = 140 cm.

Internal breadth = (116 - 6) cm = 110 cm.

Internal depth = (83 - 3) cm = 80 cm.

Area of inner surface = [2(l + b) × h] + lb

= [2 (140 + 110) × 80 + 140 × 110]cm^{2} = 55400 cm^{2}.

∴ Cost of painting = Rs.$$({1/2}× {1/100} × 55400)$$ = Rs.277.

Question: 5

The radius of a hemispherical bowls is 6 cm. The capacity of the bowl is

(A) 345.53 cm^{3}

(B) 422 cm^{3}

(C) 452.57 cm^{3}

(D) 495.51 cm^{3}

Ans: C

Radius of hemisphere bowl = 6 cm

∴ Volume of hemisphere = $${2}/{3}$$ Π r^{3}

= $${2/3} × {22/7}$$ × 6 × 6 × 6

= $${9504}/{21}$$ = 452.57 cm^{3}

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