# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 13 - 17 of 224

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## Question number: 13

» Mathematics » Arithmetic Progessions

MCQ▾

### Question

The equation (1 + m 2) x 2 + 2 mcx + c 2 - a 2 = 0 has equal roots, if

### Choices

Choice (4) Response

a.

a 2=c 2 (1 + m 2)

b.

a 2=c 20-m 2)

c.

c 2 = a 2 (1 + m 2)

d.

c 2 = a 2 (1 - m 2)

## Question number: 14

» 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: 15

» Mathematics » Simple Interest and Compound Interest

MCQ▾

### Question

A lends a sum of money for 10 year at 5 % simple interest, B lends double that amount for 5 year at the same rate of interest. Which of the following statement is true in this regard?

### Choices

Choice (4) Response

a.

A will get twice the amount of interest that B would get

b.

B will get four times the amount of interest that A would get

c.

B will get twice the amount of interest that A would get

d.

A and B will get the same amount as an interest

## Question number: 16

» Mathematics » Arithmetic

MCQ▾

### Question

A train running at the speed of 54 km/h takes 12 s to pass a certain point. Then, the length of the train is

### Choices

Choice (4) Response

a.

170 m

b.

190 m

c.

180 m

d.

160 m

## Question number: 17

» Mathematics » Probability

MCQ▾

### Question

Two coins are tossed simultaneously. The probability of getting one head is

### Choices

Choice (4) Response

a.

1/4

b.

1/2

c.

1/3

d.

3/4

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