Mathematics-Mensuration (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 5 of 8

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Question number: 1

» Mathematics » Mensuration

MCQ▾

Question

A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. The height of the cone is

Choices

Choice (4) Response

a.

12 cm

b.

11 cm

c.

16 cm

d.

14 cm

Question number: 2

» Mathematics » Mensuration

MCQ▾

Question

The four corners are quadrants of circle and at the center there is a circle. The area of shaded region in the given figure is

A square in which four corners are quadrants of circle

A Square in Which Four Corners Are Quadrants of Circle

Find the area of shaded region

Choices

Choice (4) Response

a.

(182π)cm2

b.

(162π)cm2

c.

(16π)cm2

d.

(82π)cm2

Question number: 3

» Mathematics » Mensuration

MCQ▾

Question

If a is an integer such that a+1a=174 , then the value of (a1a) is

Choices

Choice (4) Response

a.

4

b.

94

c.

174

d.

- 9 4

Question number: 4

» Mathematics » Mensuration

MCQ▾

Question

A vessel is in the form of an inverted cone. Its height is 8 cm and radius of its top which is open is 5 cm. It is filled with water up to the rim. When lead shots each of which is a sphere of radius 0.5 cm, are dropped into the vessel, one-fourth of water flows out. The number of lead shots dropped into the vessel.

Choices

Choice (4) Response

a.

85

b.

50

c.

100

d.

75

Question number: 5

» Mathematics » Mensuration

MCQ▾

Question

Pressure varies inversely as volume varies and temperature varies directly as volume varies. At a time volume = 50 m 3, temperature = 25 K and pressure = 1 atm. If volume is increased to 200m 3, then the temperature will be

Choices

Choice (4) Response

a.

100 K

b.

80 K

c.

400 K

d.

20 K

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