# Mathematics-Statistics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 6 of 8

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## Question number: 1

» 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

## Question number: 2

» Mathematics » Statistics

MCQ▾

### Question

If the geometric mean of three observations 40, 50 and x is 10, then the value of x is

### Choices

Choice (4) Response

a.

4

b.

2

c.

0.5

d.

6

## Question number: 3

» Mathematics » Statistics

MCQ▾

### Question

A, B and C are three sets of value of x.

A: 2, 3, 7, 1, 3, 2, 3 B: 7, 5, 9, 12, 5, 3, 8 C: 4, 4, 11, 7, 2, 3, 4

Select the correct statement from among the following.

### Choices

Choice (4) Response

a.

Median, mean and mode of A are same

b.

Median of B is equal to mode of A

c.

Mean of C is equal to median of B

d.

Mean of A is equal to mode of C

## Question number: 4

» Mathematics » Statistics

MCQ▾

### Question

The mean of a set of number is x. If each number is divided by 3, then the new mean is

### Choices

Choice (4) Response

a.

b.

x

c.

3x

d.

x + 3

## Question number: 5

» Mathematics » Statistics

MCQ▾

### Question

The geometric mean of two numbers is 8 and their harmonic mean is 6.4. The numbers are

### Choices

Choice (4) Response

a.

4, 16

b.

2, 8

c.

4, 8

d.

Question does not provide sufficient data or is vague

## Question number: 6

» Mathematics » Statistics

MCQ▾

### Question

The combined mean of three groups is 12 and the combined mean of first two groups is 3. If the first, second and third groups have 2, 3 and 5 items respectively, then mean of third group is

### Choices

Choice (4) Response

a.

10

b.

18

c.

12

d.

21

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