Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 25 - 29 of 218

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Question number: 25

» Mathematics » Percentage

MCQ▾

Question

A rise of 25 % in the price of grapes compels a person to buy 1.5 kg of grapes less for Rs. 240. Then, the original price of grapes per kg is

Choices

Choice (4) Response

a.

Rs. 28

b.

Rs. 32

c.

Rs. 30

d.

Rs. 40

Question number: 26

» Mathematics » Statistics

MCQ▾

Question

If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of first three observations is

Choices

Choice (4) Response

a.

11

b.

13

c.

9

d.

12

Question number: 27

» Mathematics » Basic Geometry

MCQ▾

Question

The length and the breadth of a rectangular park are in the ratio of 8: 5. A path, 1.5 m wide running all around the outside of the park has an area of 594 m 2. The dimensions of the park are

Choices

Choice (4) Response

a.

120 m, 75 m

b.

110 m, 85 m

c.

100 m, 95 m

d.

Question does not provide sufficient data or is vague

Question number: 28

» Mathematics » Arithmetic Progessions

MCQ▾

Question

The equation (1 + m 2) x 2 + 2 mcx + c 2 - a 2 = 0 has equal roots, if

Choices

Choice (4) Response

a.

a 2=c 2 (1 + m 2)

b.

a 2=c 20-m 2)

c.

c 2 = a 2 (1 + m 2)

d.

c 2 = a 2 (1 - m 2)

Question number: 29

» Mathematics » Trigonometry

MCQ▾

Question

There is a small Island in the middle of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is

Choices

Choice (4) Response

a.

50 ( 3 + 1) m

b.

50 ( 3 -1) m

c.

50 3 m

d.

None of the above

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