Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 5 of 119

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Question number: 1

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

An open box A is made from a square piece of tin by cutting equal squares S at the corners and folding up the remaining flaps. Another open box B is made similarly using one of the squares S. If U and V are the volumes of A and B respectively, then which of the following is not possible?

Choices

Choice (4) Response

a.

V > U

b.

U = V

c.

Minimum value of U > maximum value of V.

d.

U > V

Question number: 2

» Mathematics » Quadratic Equations

Appeared in Year: 2013

MCQ▾

Question

ax2+bx+c=0 , where a, b, c are real, has real roots if

Choices

Choice (4) Response

a.

a b c are integers

b.

ac > 0 and b is zero

c.

b2>3ac

d.

None of the above

Question number: 3

» Mathematics » Trigonometry

Appeared in Year: 2013

MCQ▾

Question

∆ ABC is an equilateral triangle of side 23 cms.

P is any point in the interior of ∆ ABC. If x, y, z are the distances of P from the sides of the triangle, then x + y + z =

Choices

Choice (4) Response

a.

2 + 3 cms.

b.

4 cms.

c.

3 cms.

d.

5 cms.

Question number: 4

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

Which of the following statements holds always?

Choices

Choice (4) Response

a.

Every rectangle is a square

b.

Every parallelogram is a trapezium

c.

Every parallelogram is a rectangle.

d.

Every rhombus is a square

Question number: 5

» Mathematics » Trigonometry

Appeared in Year: 2013

MCQ▾

Question

The value of tan 1° tan2° tan3°……. tan 89° is

Choices

Choice (4) Response

a.

0

b.

0.5

c.

2

d.

1

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