# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 83 - 89 of 112

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## Question number: 83

» Mathematics » Statistics

MCQ▾

### Question

The mean of 78 numbers is 27. If each observation is divided by 3, the new mean is

### Choices

Choice (4) Response

a.

9

b.

27

c.

18

d.

None of the above

## Question number: 84

» Mathematics » Percentage

MCQ▾

### Question

If cost price of 20 articles is equal to selling price of 12 articles, then the profit percentage is

### Choices

Choice (4) Response

a.

33.3%

b.

66.7%

c.

28%

d.

50%

## Question number: 85

» Mathematics » Trigonometry

MCQ▾

### Question

In the figure below, PQ = QS, QR = RS and ∠SRQ = 100°. Find the value of ∠QPS.

### Choices

Choice (4) Response

a.

40°

b.

15°

c.

35°

d.

20°

## Question number: 86

» Mathematics » Statistics

MCQ▾

### Question

If the mean and median of a set of numbers are 8.9 and 9 respectively, then the mode will be

### Choices

Choice (4) Response

a.

8.2

b.

9.2

c.

10.2

d.

7.2

## Question number: 87

» Mathematics » Probability

MCQ▾

### Question

If an alphabet is selected from English alphabet, then probability of selecting a vowel is

### Choices

Choice (4) Response

a.

16/26

b.

5/26

c.

5/21

d.

21/26

## Question number: 88

MCQ▾

### Question

If a and b are the roots of the equation, then the value of ) is equal to

### Choices

Choice (4) Response

a.

b.

c.

5

d.

All of the above

## Question number: 89

» Mathematics » Percentage

MCQ▾

### Question

A shopkeeper purchased 300 pens and sold one out of four pens at no loss or profit. He sold the remaining pens at a profit of 20%. What is his overall profit or loss per cent on the whole transaction?

### Choices

Choice (4) Response

a.

12 % profit

b.

15 % loss

c.

15 % profit

d.

12 % loss

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