Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 79 - 84 of 119

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Question number: 79

» Mathematics » Mensuration

MCQ▾

Question

∆ABC is a triangle with AB = AC and BC = 9 cm. If the height from A to BC is 6 cm, then the height from C to AB (in cm), is

Choices

Choice (4) Response

a.

6.0

b.

7.2

c.

7.5

d.

8.0

Question number: 80

» Mathematics » Simple Interest and Compound Interest

MCQ▾

Question

If the simple interest for a certain sum at 7 % per annum for 2 years is Rs. 400. What will be the difference between the compound interest and simple interest?

Choices

Choice (4) Response

a.

Rs. 14

b.

Rs. 16

c.

Rs. 12

d.

Rs. 10

Question number: 81

» Mathematics » Direct and Inverse Variation

MCQ▾

Question

Two candles have different lengths and thickness. The shorter lasts 11 h and the longer 7 h when both are lit simultaneously. If after 3 h of their being lit together at the same time, both have the same length, then the ratio of their original lengths is

Choices

Choice (4) Response

a.

10: 13

b.

7: 11

c.

11: 14

d.

5: 8

Question number: 82

» Mathematics » Basic Geometry

MCQ▾

Question

In a quadrilateral ABCD, if AB|| CD, ∠D = 2∠B, AD = b and CD = a, then the side AB is of length

Choices

Choice (4) Response

a.

2ab

b.

a2+2b

c.

a+2b

d.

a+b

Question number: 83

» Mathematics » Mensuration

MCQ▾

Question

If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is

Choices

Choice (4) Response

a.

4V

b.

2V

c.

2V

d.

22V

Question number: 84

» Mathematics » Mensuration

MCQ▾

Question

Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm.

Choices

Choice (4) Response

a.

1078 sq cm

b.

154 sq cm

c.

49 sq cm

d.

378 sq cm

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