# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 69 - 76 of 164

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## Question number: 69

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

If , , then is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 70

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 70,82,86. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

### Choices

Choice (4) Response

a.

90.78

b.

97.52

c.

80.63

d.

95.36

## Question number: 71

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

The largest non-negative integer m such that 36m divides 18! is

### Choices

Choice (4) Response

a.

3

b.

2

c.

5

d.

4

## Question number: 72

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

Which of the following set of numbers necessarily contains a multiple of 7?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 73

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

The number of distinct primes dividing 12! + 13! + 14! is –

### Choices

Choice (4) Response

a.

7

b.

6

c.

5

d.

8

## Question number: 74

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

### Question

Let p, q, r, s be real numbers such that, and . Then the set of all possible values of is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 75

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

### Question

The least positive integer n from which is,

### Choices

Choice (4) Response

a.

9

b.

10

c.

12

d.

15

## Question number: 76

» Basic Mathematics » Arithmetic » Ratio and Proportion

MCQ▾

### Question

A business man travels 900 km by train at 70 km/hr, 700 km by ship at 55 km/hr, 750 km by aero plane at 375 km/hr and 50 km by car at 50 km/hr. So the average speed (in km/hr) for entire distance is –

### Choices

Choice (4) Response

a.

82

b.

86

c.

80

d.

84

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