# Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 4 of 51

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## Question number: 1

» Mathematics » Trigonometry

MCQ▾

### Question

If ABCD is a quadrilateral whose diagonals AC and BD intersects at O, then which of the given option is correct? The Image Display is Quadrilateral ABCD Finding the right equation made by intersecting diagonals in quadrilateral ABCD.

### Choices

Choice (4) Response

a.

(AB + BC + CD + DA) = 2 (AC + BD)

b.

(AB + BC + CD + DA) < (AC + BD)

c.

(AB + BC + CD + DA) > (AC + BD)

d.

(AB + BC + CD + DA) < 2 (AC + BD)

## Question number: 2

» Mathematics » Trigonometry

MCQ▾

### Question

If and , then is equal to

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 3

» Mathematics » Trigonometry

MCQ▾

### Question

There is a small Island in the middle of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is

### Choices

Choice (4) Response

a.

50 ( + 1) m

b.

50 ( -1) m

c.

50 m

d.

None of the above

## Question number: 4

» Mathematics » Trigonometry

MCQ▾

### Question

Two posts are K m apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height (in m) of the shorter post is

### Choices

Choice (4) Response

a.

b.

c.

3K

d.

2K