Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 120 - 126 of 218

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Question number: 120

» Mathematics » Algebraic Expressions

MCQ▾

Question

If a+b+c=10 and ab+bc+ac=31 , then the value of a2+b2+c2 is

Choices

Choice (4) Response

a.

18

b.

48

c.

38

d.

28

Question number: 121

» Mathematics » Number Systems

MCQ▾

Question

If a is an odd integer, then the number a(a21) is divisible by

Choices

Choice (4) Response

a.

32

b.

24

c.

16

d.

8

Question number: 122

» Mathematics » Trigonometry

MCQ▾

Question

If sin2x+sin2y+sin2z = (sinx+siny+sinz)2 , then which of the following expressions must necessarily be true?

Choices

Choice (4) Response

a.

tan x + tan y + tan z

b.

cos x + cos y + cos z

c.

1sinx+1siny+1sinz

d.

1cosx+1cosy+1cosz

Question number: 123

» Mathematics » Trigonometry

MCQ▾

Question

A triangle formed by the points A (2, 5), B (3, 8) and C (x, y). If the centroid of the triangle is (3, 5), what is the coordinate of point C?

Choices

Choice (4) Response

a.

(4, 2)

b.

(2, 4)

c.

(-4, -2)

d.

None of the above

Question number: 124

» Mathematics » Simple Interest and Compound Interest

MCQ▾

Question

A sum of money doubles itself at compound interest in 15 year. It will becomes 8 times in

Choices

Choice (4) Response

a.

30 year

b.

40 year

c.

45 year

d.

60 year

Question number: 125

» Mathematics » Probability

MCQ▾

Question

When two dice are rolled together, the probability of getting an even number on one dice and a multiple of 3 on the other, is

Choices

Choice (4) Response

a.

16

b.

736

c.

49

d.

536

Question number: 126

» Mathematics » Linear Equation

MCQ▾

Question

Pooja started her job with certain monthly salary and gets a fixed increment every year. If her salary was Rs. 4200 after 3 year and Rs. 6800 after 8 year of service, then what are her initial salary and the annual increment, respectively?

Choices

Choice (4) Response

a.

Rs. 2640, Rs. 520

b.

Rs. 2460, Rs. 520

c.

Rs. 2640, Rs. 320

d.

Rs. 2460, Rs. 320

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