Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 97 - 101 of 112

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Question number: 97

» Mathematics » Mensuration

MCQ▾

Question

AD is a diameter of a circle. Two more circles pass through A and intersect AD in B and C respectively, such that AB and AC are diameters of these circles and AD > AC > AB. If the circumference of the middle circle is average of the circumference of the other two, then given AB = 4 units and CD = 2 units, what is the area, (in sq units) of the largest circle?

Choices

Choice (4) Response

a.

64 π

b.

16 π

c.

48 π

d.

128 π

Question number: 98

» Mathematics » Trigonometry

MCQ▾

Question

Three circles each of radius r units are drawn inside an equilateral triangle of side a units, such that each circle touches the other two and two sides of the triangle as shown in the figure, (P, Q and R are the Centers of the three circles). Then, relation between r and a is

 A triangle having three circles in it

a Triangle Having Three Circles in It

Find the relation between radius r and length of triangle’s side a

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 99

» Mathematics » Quadratic Equations

MCQ▾

Question

What is the remainder when Equation is divided by Equation ?

Choices

Choice (4) Response

a.

Equation 9

b.

Equation

c.

49

d.

48

Question number: 100

» Mathematics » Linear Equation

MCQ▾

Question

If Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 101

» Mathematics » Mensuration

MCQ▾

Question

If the length and breadth of a rectangular plot are increased by Equation and Equation respectively, then the new area is how many times the original area?

Choices

Choice (4) Response

a.

10

b.

Equation

c.

Equation

d.

Equation

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