# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 49 - 53 of 224

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## Question number: 49

» Mathematics » Trigonometry

MCQ▾

### Question

If , then the value of is

### Choices

Choice (4) Response

a.

-1

b.

1

c.

2

d.

-2

## Question number: 50

» Mathematics » Mensuration

MCQ▾

### Question

The four corners are quadrants of circle and at the center there is a circle. The area of shaded region in the given figure is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 51

» Mathematics » Trigonometry

MCQ▾

### Question

The angle of elevation of a cloud at a height h above the level of water in a lake is and the angle of depression of its image in the lake is . Then, the height of the cloud above the surface of the lake is

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 52

» Mathematics » Trigonometry

MCQ▾

### Question

The triangle formed by joining the vertices (3, 2), (5, - 3) and (- 5, 4) will be a

### Choices

Choice (4) Response

a.

isosceles triangle

b.

right angled triangle

c.

obtuse triangle

d.

acute triangle

## Question number: 53

» Mathematics » Probability

MCQ▾

### Question

Mohan lies on 3 days out of the 7 days in a week, whereas Ram lies on 4 days out of 6 days of a week. If both of them were asked a question, what is the probability that both gave a true reply?

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page