# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 88 - 93 of 224

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## Question number: 88

» Mathematics » Mensuration

MCQ▾

### Question

Pressure varies inversely as volume varies and temperature varies directly as volume varies. At a time volume = 50 m 3, temperature = 25 K and pressure = 1 atm. If volume is increased to 200m 3, then the temperature will be

### Choices

Choice (4) Response

a.

100 K

b.

80 K

c.

400 K

d.

20 K

## Question number: 89

» Mathematics » Trigonometry

MCQ▾

### Question

For what value of k, the vertices (2, 1), (3, 3) and (5, k) form an equilateral triangle?

### Choices

Choice (4) Response

a.

No such value exist

b.

c.

4

d.

2

## Question number: 90

MCQ▾

### Question

If and are the roots of the equation , then is equal to

### Choices

Choice (4) Response

a.

b.

a 2 + a 4) 2

c.

d.

All of the above

## Question number: 91

» Mathematics » Basic Geometry

MCQ▾

### Question

The ratio of an interior angle to the exterior angle of a regular polygon is 5: 1. The number of sides of polygon is

### Choices

Choice (4) Response

a.

12

b.

10

c.

14

d.

11

## Question number: 92

» Mathematics » Linear Equation

MCQ▾

### Question

A and B each have a certain number of mangoes. A says to B, “If you give 30 of your mangoes, I will have twice as many as left with you. ” B replies “If you give me 10, I will have thrice as many as left with you”. How many mangoes did A has?

### Choices

Choice (4) Response

a.

32

b.

41

c.

62

d.

34

## Question number: 93

» Mathematics » Arithmetic

MCQ▾

### Question

Ravi and Sneh working separately can finish a job in 8 and 12 h, respectively. If they work for an hour alternatively, then Ravi beginning at 9: 00 am. When will the job be finished?

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page