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

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## 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

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