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

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## Question 1

Mathematics
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### Question

MCQ▾

A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 m when it has traced out 72° at the center, then the length of the rope is

### Choices

Choice (4)Response
a.72 m
b.70 m
c.80 m
d.85 m

## Question 2

Mathematics
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Appeared in Year: 2013

### Question

MCQ▾

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.U > V
b.V > U
c.Minimum value of U > maximum value of V.
d.U = V

## Question 3

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Appeared in Year: 2013

### Question

MCQ▾

, where a, b, c are real, has real roots if

### Choices

Choice (4)Response
a.ac > b 0 and is zero
b.
c.a b c are integers
d.All of the above

## Question 4

Mathematics
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Appeared in Year: 2013

### Question

MCQ▾

Which of the following statements holds always?

### Choices

Choice (4)Response
a.Every parallelogram is a rectangle.
b.Every rectangle is a square
c.Every parallelogram is a trapezium
d.Every rhombus is a square

## Question 5

Mathematics
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Appeared in Year: 2013

### Question

MCQ▾

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

### Choices

Choice (4)Response
a.0
b.1
c.0.5
d.2