# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 100 - 106 of 224

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## Question number: 100

» Mathematics » Trigonometry

MCQ▾

### Question

If , then the value of is

### Choices

Choice (4) Response

a.

3

b.

½

c.

2

d.

1

## Question number: 101

» Mathematics » Trigonometry

MCQ▾

### Question

Given that and area of ∆ ABC = 16, area of ∆PQR = 9.

If PQ = 18 cm and BC = 12 cm. Then, AB and QR are, respectively

### Choices

Choice (4) Response

a.

13.5 cm, 16 cm

b.

9 cm, 24 cm

c.

32 cm, 6.75 cm

d.

24 cm, 9 cm

## Question number: 102

» Mathematics » Arithmetic

MCQ▾

### Question

The sum of all two-digit numbers each of which leaves remainder 3 when divided by 5 is

### Choices

Choice (4) Response

a.

999

b.

1064

c.

1120

d.

952

## Question number: 103

MCQ▾

### Question

If the zeroes of the polynomial are reciprocal of each other, then the value of k is

### Choices

Choice (4) Response

a.

-1

b.

1

c.

2

d.

-2

## Question number: 104

» Mathematics » Trigonometry

MCQ▾

### Question

In right ∆ABC, BC = 7 cm, AC - AB = 1 cm and ∠ B = 90°. The value of is

### Choices

Choice (4) Response

a.

1/7

b.

32/24

c.

25/31

d.

31/25

## Question number: 105

» Mathematics » Mensuration

MCQ▾

### Question

From a rectangular cardboard, an open box is to be made by cutting out identical squares of area 25 cm 2 from each corner and turning up the sides. The volume of the box is

### Choices

Choice (4) Response

a.

1875 cm 3

b.

3000 cm 3

c.

1250 cm 3

d.

21875 cm 3

## Question number: 106

» Mathematics » Basic Geometry

MCQ▾

### Question

Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches the two other pieces. The area of the space enclosed by the four pieces is

### Choices

Choice (4) Response

a.

42 cm 2

b.

21 cm 2

c.

168 cm 2

d.

84cm 2

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