Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 6 - 10 of 119

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Question number: 6

» Mathematics » Algebraic Expressions

Appeared in Year: 2013

MCQ▾

Question

An open box is made from a square lamina of side 12cm, by cutting equal squares at the corners and folding up the remaining flaps. The volume of this box cannot be

Choices

Choice (4) Response
a.

115c. c

b.

120 c. c

c.

125 c. c

d.

130 c. c

Question number: 7

» Mathematics » Square and Cube Root

Appeared in Year: 2013

MCQ▾

Question

The square of an odd integer must be of the form

Choices

Choice (4) Response
a.

6 n + 1

b.

8n + l

c.

4n + 1 but may not be 8 n + 1

d.

6n + 3

Question number: 8

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

ABCD is a square with side a. With centers A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let 5 be the area of the region in the interior of the square and exterior of the circles. Then the maximum value of 8 is

Choices

Choice (4) Response
a.

πa24

b.

a2(1π)

c.

a2((4π)4)

d.

a2(π1)

Question number: 9

» Mathematics » Exponents

Appeared in Year: 2013

MCQ▾

Question

Which of the following numbers is the fourth power of a natural number?

Choices

Choice (4) Response
a.

6765209

b.

6765201

c.

6765206

d.

6765207

Question number: 10

» Mathematics » Basic Geometry

Appeared in Year: 2013

MCQ▾

Question

A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.

S 1 = A’s triangles must be similar

S 2 = B’s pentagons must be similar

Which of the following statement is correct?

Choices

Choice (4) Response
a.

S 2 is true, but S 1 is not true.

b.

S 1 is true, but S 2 is not true.

c.

S 1 and S 2 are true.

d.

Neither S 1 and nor S 2 is true.

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