Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 65 - 71 of 112

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 816 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 400.00 or

Question number: 65

» 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: 66

» 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.

b.

c.

d.

Question number: 67

» 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.

c.

d.

Question number: 68

» 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

Question number: 69

» Mathematics » Number Systems

MCQ▾

Question

The product of two numbers is 24 times the difference of these two numbers. If the sum of these numbers is 14, the large number is

Choices

Choice (4) Response

a.

6

b.

8

c.

10

d.

5

Question number: 70

» Mathematics » Statistics

MCQ▾

Question

A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or a king of heart is

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

Question number: 71

» Mathematics » Quadratic Equations

MCQ▾

Question

For what values of fc, the equation has equal roots?

Choices

Choice (4) Response

a.

2 and 12

b.

6 and 4

c.

8 and 2

d.

10 and 4

f Page
Sign In