# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 112 - 116 of 172

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## Question number: 112

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

### Question

If is a positive integer and is a cube root of unity, the number of possible values of

is –

### Choices

Choice (4) Response

a.

6

b.

4

c.

2

d.

3

## Question number: 113

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

### Question

In a triangle , let G denote its centroid and let M, N be points in the interiors of the segments , respectively, such that are collinear. If denotes the ratio of the area of triangle to the area of then, (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 114

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

### Question

Let . The number of elements in S such that is divisible by 19 is –

### Choices

Choice (4) Response

a.

18

b.

1

c.

38

d.

19

## Question number: 115

Appeared in Year: 2013

MCQ▾

### Question

Let be a positive integer. For a real number , let denoted the largest integer not exceeding and . Then,

is equal to – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 116

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

### Question

Let be a continuous function such that . Which of the following statement is NOT necessarily true?

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page