Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 104 - 111 of 119

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Question number: 104

» Mathematics » Trigonometry

MCQ▾

Question

cos 4x is equal to

Choices

Choice (4) Response
a.

1 + 8sin2x-cos2x

b.

2cos22x

c.

1 + 2sin22x

d.

1 - 8sin2x-cos2x

Question number: 105

» 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: 106

» 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: 107

» Mathematics » Trigonometry

MCQ▾

Question

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

A triangle PRS having an angle of 100

A Triangle PRS Having an Angle of 100

Find the value of ∠QPS by using given angle and data

Choices

Choice (4) Response
a.

40°

b.

15°

c.

35°

d.

20°

Question number: 108

» 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: 109

» 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: 110

» Mathematics » Quadratic Equations

MCQ▾

Question

If a and b are the roots of the equation x25x+6=0 , then the value of (a2b2 ) is equal to

Choices

Choice (4) Response
a.

±5

b.

-5

c.

5

d. All of the above

Question number: 111

» 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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