Mathematics [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 13 - 16 of 223

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Question 13

Question MCQ▾

The equation (1 + m2) x2 + 2 mcx + c2 - a2 = 0 has equal roots, if

Choices

Choice (4)Response

a.

c2 = a2 (1 - m2 )

b.

a2 = c2 (1 + m2 )

c.

a2 = c2 0-m2 )

d.

c2 = a2 (1 + m2 )

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Question 14

Question MCQ▾

There is a small Island between the banks 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 m

b.

50 ( -1) m

c.

50 ( + 1) m

d.

Question does not provide sufficient data or is vague

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Question 15

Question MCQ▾

A lends a sum of money for 10 year at 5% simple interest, B lends double that amount for 5 year at the same rate of interest. Which of the following statement is true in this regard?

Choices

Choice (4)Response

a.

B will get four times the amount of interest that A would get

b.

A and B will get the same amount as an interest

c.

A will get twice the amount of interest that B would get

d.

B will get twice the amount of interest that A would get

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Question 16

Question MCQ▾

A train running at the speed of 54 km/h takes 12 s to pass a certain point. Then, the length of the train is

Choices

Choice (4)Response

a.

180 m

b.

190 m

c.

170 m

d.

160 m

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