# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 60 - 66 of 224

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## Question number: 60

» Mathematics » Trigonometry

MCQ▾

### Question

If and , then is equal to

### Choices

Choice (4) Response

a.

1

b.

-2

c.

2

d.

-1

## Question number: 61

» Mathematics » Arithmetic

MCQ▾

### Question

Two pipes A and B can separately fill a tank in 12 min and 15 min, respectively. Both the pipes are opened together but 4 min after pipe A is turned off. How much time does pipe B will take to fill the tank?

### Choices

Choice (4) Response

a.

6 min

b.

11 min

c.

12 min

d.

8 min

## Question number: 62

» Mathematics » Percentage

MCQ▾

### Question

140 L of a liquid contains 90 % of acid and the rest water. How much water must be added to make the water 12.5 % of the resulting mixture?

### Choices

Choice (4) Response

a.

10L

b.

4L

c.

12L

d.

3.5L

## Question number: 63

» Mathematics » Basic Geometry

MCQ▾

### Question

With the vertices of a as center three circles are described, each touching the other two circles externally. If the sides of the triangle are 9 cm, 7 cm and 6 cm. Then, the radiuses of the circles are

### Choices

Choice (4) Response

a.

4,5, 2

b.

4,5, 6

c.

3,2, 3

d.

All of the above

## Question number: 64

MCQ▾

### Question

If the roots of x 2 -Ix + m = 0 differ by 1, then

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 65

» Mathematics » Basic Geometry

MCQ▾

### Question

If q is the mean proportional between p and r, then is equal to

### Choices

Choice (4) Response

a.

p 2 q 3

b.

q 4

c.

q 3

d.

p 2 r 2 q 4

## Question number: 66

» Mathematics » Basic Geometry

MCQ▾

### Question

The ratio between the numbers of sides of two polygons is 2: 1 and the ratio between their interior angles is 4: 3. The numbers of sides of these polygons are, respectively

### Choices

Choice (4) Response

a.

8,4

b.

10,5

c.

12,6

d.

14,7

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