Basic Mathematics-Arithmetic (KVPY Stream-SA (Class 11) Math): Questions 32 - 37 of 77

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Question number: 32

» Basic Mathematics » Arithmetic » Rates

MCQ▾

Question

Given area three cylindrical buckets X, Y, Z whose circular bases are of radii 1, 2, 3 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from Z to X so that they both have the same volume of water. Some water is then transferred between X and Y so that they both have the same volume of water. If hy , hZ denote the heights of water at this stage in the buckets Y, Z respectively, then the ratio hyhz equals –

Choices

Choice (4) Response

a.

94

b.

49

c.

8140

d.

1

Question number: 33

» 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: 34

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Which of the following set of numbers necessarily contains a multiple of 7? (n>1,n7kandn,kareinteger)

Choices

Choice (4) Response

a.

n72+1

b.

n72

c.

n721

d.

n72+2

Question number: 35

» 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: 36

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

Question

The least positive integer n from which n+23n+13<115 is,

Choices

Choice (4) Response

a.

9

b.

10

c.

12

d.

15

Question number: 37

» 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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