# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 68 - 72 of 164

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## Question number: 68

» 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, denote the heights of water at this stage in the buckets Y, Z respectively, then the ratio equals –

### Choices

Choice (4) Response

a.

b.

c.

d.

1

## 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.

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