# Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 73 - 78 of 164

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## 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

## Question number: 77

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

Let ABCD be a square of side length 1, and a circle of radius r, passing through B and C, and touching AD. The radius of r is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 78

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following equalities always hold? (Here [PQR] denotes the area of triangle PQR) –

(I) [BCX] = [BCY]

(II)

### Choices

Choice (4) Response

a.

(II)

b.

Neither (I) nor (II)

c.

(I)

d.

Both a. and c. are correct

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