Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 85 - 89 of 119

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Question number: 85

» Mathematics » Number Systems

MCQ▾

Question

The product of two numbers is 24 times the difference of these two numbers. If the sum of these numbers is 14, the large number is

Choices

Choice (4) Response

a.

6

b.

8

c.

10

d.

5

Question number: 86

» Mathematics » Statistics

MCQ▾

Question

A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or a king of heart is

Choices

Choice (4) Response

a.

152

b.

113

c.

126

d.

All of the above

Question number: 87

» Mathematics » Quadratic Equations

MCQ▾

Question

For what values of fc, the equation x2+2(fc4)x+2k=0 has equal roots?

Choices

Choice (4) Response

a.

2 and 12

b.

6 and 4

c.

8 and 2

d.

10 and 4

Question number: 88

» 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.

a=(3+2)r

b.

a=2(3+2)r

c.

a=2(3+1)r

d.

a=(3+1)r

Question number: 89

» Mathematics » Trigonometry

MCQ▾

Question

cosθsinθ1=______.

Choices

Choice (4) Response

a.

secθ + tanθ

b.

secθ - tanθ

c.

cosecθ + tanθ

d.

Question does not provide sufficient data or is vague

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