Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 103 - 107 of 218

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Question number: 103

» Mathematics » Trigonometry

MCQ▾

Question

If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?

Choices

Choice (4) Response

a.

4Abb4+2A4

b.

2Ab2b4+4A2

c.

2A2b2b4+A2

d.

2Abb4+4A2

Question number: 104

» Mathematics » Percentage

MCQ▾

Question

At what price must Sarita sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?

Choices

Choice (4) Response

a.

Rs. 9 per kg

b.

Rs. 8.20 per kg

c.

Rs. 8.85 per kg

d.

Rs. 7.50 per kg

Question number: 105

» Mathematics » Number Systems

MCQ▾

Question

Consider the following statements

I. If x and y are composite integers, so also is x + y.

II. If x and y are composite integers and x > y, then x - y is also a composite integer.

III. If x and y are composite integers, so also in xy. Of the above, the correct statement (s) is/are

Choices

Choice (4) Response

a.

I and II

b.

Only III

c.

All the three

d.

Question does not provide sufficient data or is vague

Question number: 106

» Mathematics » Trigonometry

MCQ▾

Question

If cosecθsinθ=a3 and secθcosθ=b3 , then a2b2(a2+b2) is equal to

Choices

Choice (4) Response

a.

1

b.

-2

c.

2

d.

-1

Question number: 107

» Mathematics » Arithmetic

MCQ▾

Question

Two pipes A and B can separately fill a tank in 12 min and 15 min, respectively. Both the pipes are opened together but 4 min after pipe A is turned off. How much time does pipe B will take to fill the tank?

Choices

Choice (4) Response

a.

6 min

b.

11 min

c.

12 min

d.

8 min

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