# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 7 - 12 of 224

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## Question number: 7

» 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: 8

» 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: 9

» 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

## Question number: 10

» Mathematics » Coordinate Geometry

MCQ▾

### Question

If ABCD is a rhombus, then AB 2 + BC 2 + CD 2 + AD 2 is equal to

### Choices

Choice (4) Response

a.

b.

AO 2 + OC 2

c.

AC 2 + BD 2

d.

None of the above

## Question number: 11

» Mathematics » Trigonometry

MCQ▾

### Question

If and , then is equal to

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 12

» Mathematics » Statistics

MCQ▾

### Question

If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of first three observations is

### Choices

Choice (4) Response

a.

11

b.

13

c.

9

d.

12