# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 149 - 153 of 224

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## Question number: 149

» Mathematics » Statistics

MCQ▾

### Question

If the values occurs at frequencies 1, 2, 3, 4, 5, 6…. . n respectively in a frequency distribution, then the mean is

### Choices

Choice (4) Response

a.

b.

1

c.

n

d.

## Question number: 150

MCQ▾

### Question

If and are the roots of the equation, then an equation whose roots are and is

### Choices

Choice (4) Response

a.

ax2- bx + c = 0

b.

cx2+ ax + b = 0

c.

bx2 + ax + c = 0

d.

cx2+ bx + a = 0

## Question number: 151

» Mathematics » Basic Geometry

MCQ▾

### Question

S1and S2 are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?

### Choices

Choice (4) Response

a.

S1 andS2 touch each other internally

b.

S1and S2intersect in two distinct points

c.

S2lies entirely within the circle S1

d.

S1 and S2 touch each other externally

## Question number: 152

» Mathematics » Trigonometry

MCQ▾

### Question

Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠MPN is equal to

### Choices

Choice (4) Response

a.

90°

b.

135°

c.

45°

d.

60°

## Question number: 153

» Mathematics » Percentage

MCQ▾

### Question

A man spends 75 % of his income. If his income is increased by 20 % and he increased his expenditure by 10%. His savings percentage is increased by

### Choices

Choice (4) Response

a.

10%

b.

25%

c.

50%

d.

75%

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