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

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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

A circle having a chord and making angle with it

A Circle Having a Chord and Making Angle With It

Find the angle PRQ by using the mathematical theorem of circles

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 Equation then the value of Equation 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%

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