Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 94 - 98 of 112

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Question number: 94

» Mathematics » Statistics

MCQ▾

Question

For the data 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, …, 9, 9, the product of mean and mode equals to

Choices

Choice (4) Response

a.

9

b.

285

c.

57

d.

45

Question number: 95

» Mathematics » Number Systems

MCQ▾

Question

If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of this sum is

Choices

Choice (4) Response

a.

16

b.

15

c.

18

d.

19

Question number: 96

» Mathematics » Number Systems

MCQ▾

Question

If aabb is a four-digit number and also a perfect square, then the value of a + b is

Choices

Choice (4) Response

a.

9

b.

10

c.

12

d.

11

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.

b.

c.

d.

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