# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 5 of 112

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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

Appeared in Year: 2013

MCQ▾

### Question

, 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.

d.

None of the above

## Question number: 3

» 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: 4

» 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

## Question number: 5

» 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

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