# Mathematics-Mensuration (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 4 of 8

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## Question number: 1

» 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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 2

» 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: 3

» 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

## Question number: 4

» Mathematics » Mensuration

MCQ▾

### Question

From a rectangular cardboard, an open box is to be made by cutting out identical squares of area 25 cm 2 from each corner and turning up the sides. The volume of the box is

### Choices

Choice (4) Response

a.

1875 cm 3

b.

3000 cm 3

c.

1250 cm 3

d.

21875 cm 3

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