# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 83 - 87 of 224

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## Question number: 83

» Mathematics » Basic Geometry

MCQ▾

### Question

In the given figure PT touches the circle with center O at R. Diameter SQ when produced meet PT at P. If ⦟SPR = x and ⦟QSR = y, then x + 2y is equal to

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 84

» Mathematics » Basic Geometry

MCQ▾

### Question

In the given figure and . The values of x, y, z and t are, respectively

### Choices

Choice (4) Response

a.

60, 75, 75, 60

b.

60, 70, 60, 70

c.

50, 75, 75, 65

d.

60, 60, 70, 70

## 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

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