Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 180 - 185 of 218

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Question number: 180

» Mathematics » Probability

MCQ▾

Question

In a single throw of a dice, what is the probability of getting a number greater than 4?

Choices

Choice (4) Response

a.

15

b.

14

c.

12

d.

13

Question number: 181

» Mathematics » Trigonometry

MCQ▾

Question

If sin (θ + ϕ) = 2 sin (θ - ϕ), then

Choices

Choice (4) Response

a.

sin θ = 3 sin θ

b.

sin ϕ =sin 2 θ

c.

cot ϕ = 3 tan θ

d.

tan θ = 3 tan ϕ

Question number: 182

» Mathematics » Direct and Inverse Variation

MCQ▾

Question

If pqr = 1, what is the value of the expression 11+p+q1+11+q+r1+11+r+p1 ?

Choices

Choice (4) Response

a.

-1

b.

0

c.

1

d.

1/3

Question number: 183

» Mathematics » Basic Geometry

MCQ▾

Question

If AD, BE and CF are the medians of a ∆ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is

Choices

Choice (4) Response

a.

4(AB2+BC2+AC2)=3(AD2+BE2+CF2)

b.

2(AB2+BC2+AC2)=3(AD2+BE2+CF2)

c.

3(AB2+BC2+AC2)=4(AD2+BE2+CF2)

d.

Question does not provide sufficient data or is vague

Question number: 184

» Mathematics » Trigonometry

MCQ▾

Question

The angle of elevations ’G of the top of a light house at a point ‘A’ on the ground is such that tan θ is 512 . When the point is moved 240 m towards the light house, the angle of elevation become ϕsuch that tan ϕ = 34 . Then, the height of light house is

Choices

Choice (4) Response

a.

200 m

b.

235 m

c.

215 m

d.

225 m

Question number: 185

» Mathematics » Basic Geometry

MCQ▾

Question

AB and CD are two parallel lines. The points B and C are joined such that ABC = 65°. A line CE is drawn making angle of 35° with the line CB, EF is drawn parallel to AB, as show in figure, then CEF is equal to

The angle made by two intersecting lines by using given angles.

The Angle Made by Two Intersecting Lines by Using Given Angles.

Find the angle made by two intersecting lines by using given angles.

Choices

Choice (4) Response

a.

145°

b.

155°

c.

160°

d.

150°

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