Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 143 - 147 of 218

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Question number: 143

» Mathematics » Quadratic Equations

MCQ▾

Question

If p and q are the roots of the equation x2(1+a2)x+(1+a2+a4)=0 , then α2+β2 is equal to

Choices

Choice (4) Response
a.

a4+a2

b.

a 2 + a 4) 2

c.

(a4+1)

d. All of the above

Question number: 144

» Mathematics » Basic Geometry

MCQ▾

Question

The ratio of an interior angle to the exterior angle of a regular polygon is 5: 1. The number of sides of polygon is

Choices

Choice (4) Response
a.

12

b.

10

c.

14

d.

11

Question number: 145

» Mathematics » Linear Equation

MCQ▾

Question

A and B each have a certain number of mangoes. A says to B, “If you give 30 of your mangoes, I will have twice as many as left with you. ” B replies “If you give me 10, I will have thrice as many as left with you”. How many mangoes did A has?

Choices

Choice (4) Response
a.

32

b.

41

c.

62

d.

34

Question number: 146

» Mathematics » Arithmetic

MCQ▾

Question

Ravi and Sneh working separately can finish a job in 8 and 12 h, respectively. If they work for an hour alternatively, then Ravi beginning at 9: 00 am. When will the job be finished?

Choices

Choice (4) Response
a.

6:30pm

b.

7:30pm

c.

7:00pm

d.

6:00pm

Question number: 147

» Mathematics » Basic Geometry

MCQ▾

Question

In the adjoining figure, a smaller circle touches a larger circle internally and passes through the center O of the latter. If the area of the smaller circle is 200 cm 2, the area of the larger circle in cm 2 is

A small circle touches a larger circle internally

A Small Circle Touches a Larger Circle Internally

Find the area of larger circle

Choices

Choice (4) Response
a.

200 cm2

b.

400 cm2

c.

800 cm2

d.

600 cm2

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