# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 87 - 93 of 112

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## 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

» Mathematics » Quadratic Equations

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

## Question number: 90

» Mathematics » Number Systems

MCQ▾

### Question

The sum of any three distinct natural numbers arranged in ascending order is 200 such that the second number is a perfect cube. How many possible values are there for this number?

### Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

1

## Question number: 91

» Mathematics » Basic Geometry

MCQ▾

### Question

ABCD is a quadrilateral whose diagonals intersect each other at the point O such that OA = OB = OD. If ∠OAB = 30°, then the measures of ∠ODA is

### Choices

Choice (4) Response

a.

60°

b.

90°

c.

45°

d.

30°

## Question number: 92

» Mathematics » Arithmetic

MCQ▾

### Question

The value of the expression is

### Choices

Choice (4) Response

a.

3

b.

2

c.

-2

d.

4

## Question number: 93

» Mathematics » Number Systems

MCQ▾

### Question

If the digits of a three-digit number are reversed, then the number, so obtained is less than the original number by 297. If the sum of the digits of the number is 8 and its hundred’s digit has the largest possible value, then the ten’s digit of the number is

### Choices

Choice (4) Response

a.

0

b.

1

c.

2

d.

3

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