# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 107 - 112 of 224

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1058 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 107

» Mathematics » Basic Geometry

MCQ▾

### Question

In the figure, PQ is a chord of a circle with center O and PT is the tangent at P such that ∠ QPT = 70°. Then, the measure of ∠ PRQ is equal to

### Choices

Choice (4) Response

a.

150°

b.

120°

c.

110°

d.

135°

## Question number: 108

» Mathematics » Probability

MCQ▾

### Question

A bag contains 20 balls out of which x are black. If 10 more black balls are put in the box, the probability of drawing a black ball is double of what it was before. The value of x is

### Choices

Choice (4) Response

a.

40

b.

10

c.

5

d.

0

## Question number: 109

» Mathematics » Basic Geometry

MCQ▾

### Question

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is

### Choices

Choice (4) Response

a.

15 cm

b.

12 cm

c.

10 cm

d.

14 cm

## Question number: 110

» Mathematics » Percentage

MCQ▾

### Question

A shopkeeper mixes 80 kg sugar worth of Rs. 6.75 per kg with 120 kg of sugar worth of Rs. 8 per kg. He earns a profit of 20 % by selling the mixture. He sells it at the rate

### Choices

Choice (4) Response

a.

Rs. 7.50 per kg

b.

Rs. 8.20 per kg

c.

Rs. 9 per kg

d.

Rs. 8.85 per kg

## Question number: 111

» Mathematics » Algebraic Expressions

MCQ▾

### Question

If then the value of is

### Choices

Choice (4) Response

a.

322

b.

114

c.

364

d.

927

## Question number: 112

» Mathematics » Percentage

MCQ▾

### Question

A shopkeeper prefers to sell his goods at the cost price but uses a weight of 800 g instead of 1 kg. He earns profit of

### Choices

Choice (4) Response

a.

20%

b.

25%

c.

8%

d.

2%

f Page