# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 85 - 89 of 224

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## Question number: 85

» Mathematics » Mensuration

MCQ▾

### Question

A vessel is in the form of an inverted cone. Its height is 8 cm and radius of its top which is open is 5 cm. It is filled with water up to the rim. When lead shots each of which is a sphere of radius 0.5 cm, are dropped into the vessel, one-fourth of water flows out. The number of lead shots dropped into the vessel.

### Choices

Choice (4) Response

a.

85

b.

50

c.

100

d.

75

## Question number: 86

» Mathematics » Statistics

MCQ▾

### Question

The geometric mean of two numbers is 8 and their harmonic mean is 6.4. The numbers are

### Choices

Choice (4) Response

a.

4,16

b.

2,8

c.

4,8

d.

Question does not provide sufficient data or is vague

## Question number: 87

» Mathematics » Percentage

MCQ▾

### Question

An employee is required to contribute 10 % of his pay to general provident fund. If he gets Rs. 13500 as net pay in a month, then what is the monthly general provident fund contribution (assuming no other deductions)?

### Choices

Choice (4) Response

a.

Rs. 1650

b.

Rs. 1350

c.

Rs. 1215

d.

Rs. 1500

## 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

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