# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 13 - 19 of 218

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## Question number: 13

» 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: 14

MCQ▾

### Question

If

, then the value of

is

### Choices

Choice (4) Response

a.

27/2

b.

9/2

c.

9/4

d.

25/4

## Question number: 15

MCQ▾

### Question

Sum of the roots of the equation x 2 + 5x + 6 = 0 is

### Choices

Choice (4) Response

a.

4

b.

-4

c.

-5

d.

5

## Question number: 16

» Mathematics » Basic Geometry

MCQ▾

### Question

The mean proportional between (2 + ) and (8 - ) is

### Choices

Choice (4) Response

a.

3

b.

2

c.

3: 1

d.

2: 3

## Question number: 17

» Mathematics » Trigonometry

MCQ▾

### Question

AB and CD are two parallel lines. PQ cuts AB and CD at E and F irrespectively. EL is the bisector of ⦟FEB. If ⦟LEB = 35°, then ⦟CFQ will be

### Choices

Choice (4) Response

a.

85°

b.

95°

c.

70°

d.

110°

## Question number: 18

» Mathematics » Arithmetic

MCQ▾

### Question

Arjun bought two buffaloes for Rs. 30, 000, by selling one at a loss of 15 % and other at a gain of 19%, he found the selling price of both buffaloes is the same. The cost price of each buffalo is

### Choices

Choice (4) Response

a.

Rs. 17500 and Rs. 12500

b.

Rs. 16000 and Rs. 14000

c.

Rs. 18000 and Rs. 12000

d.

Rs. 17000 and Rs. 13000

## Question number: 19

» Mathematics » Basic Geometry

MCQ▾

### Question

A person can run around a circular path of radius 21 m in 44 s. In what time will the same person run a distance of 3 km?

### Choices

Choice (4) Response

a.

16 min 30s

b.

18 min 30s

c.

16 min 40s

d.

18 min 40s