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

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 828 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 400.00 or

## 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.

b.

c.

d.

## 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.