Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 138 - 142 of 218

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Question number: 138

» Mathematics » Trigonometry

MCQ▾

Question

An aero plane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45°, respectively. The height of the lower plane from the ground (in m) is

Choices

Choice (4) Response

a.

50

b.

103

c.

150

d.

1003

Question number: 139

» 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: 140

» 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: 141

» 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.

34

c.

4

d.

2

Question number: 142

» Mathematics » Trigonometry

MCQ▾

Question

ABC is triangle with A=90° . From A, a perpendicular AD is drawn on BC. Which one of the following is correct?

Choices

Choice (4) Response

a.

ABC~DAC

b.

ABC~DBA~DAC

c.

DAC~DBA

d.

Question does not provide sufficient data or is vague

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