Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 6 - 9 of 112

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Question number: 6

» 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: 7

» 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: 8

» 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.

Question number: 9

» Mathematics » Basic Geometry

MCQ▾

Question

All the arcs in following diagram are semicircles. This diagram shows two paths connecting A to B. Path I is the single large semi-circle and Path II consists of the chain of small semi-circles.

A semicircle carrying 4 other semicircles in it

A Semicircle Carrying 4 Other Semicircles in It

Two points are connecting with two different paths made by semicircle

Choices

Choice (4) Response

a.

Path I is shorter than Path II

b.

Path I is of the same length as Path II, only if the number of semi circles is not more than 4

c.

Path I is of the same length as Path II

d.

Path I is longer than path II

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