# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 96 - 99 of 172

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## Question number: 96

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

The number of integer with and containing at most two distinct digits is – (Model Paper)

### Choices

Choice (4) Response

a.

324

b.

252

c.

280

d.

360

## Question number: 97

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

Appeared in Year: 2013

MCQ▾

### Question

Let be a closed polygon with sides and vertices (assume that the sides do not intersect except at the vertices). Let be the number of interior angles of P that are greater than . The maximum possible value of is – (Model Paper)

### Choices

Choice (4) Response

a.

9

b.

3

c.

7

d.

5

## Question number: 98

Appeared in Year: 2013

MCQ▾

### Question

Two line segments and are constrained to move along the and axes, respectively, in such a way that the points are on cyclic. If and , then the locus of the centre of the circle passing through in polar coordinates is – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 99

Appeared in Year: 2013

MCQ▾

### Question

In a tournament with five teams, each team plays against every other team exactly once. Each game is won by one of the playing teams and the winning team scores one point, while the losing team scores zero. Which of the following is NOT necessarily true? (Model Paper)

### Choices

Choice (4) Response

a.

There are at least two teams which have at most two points each.

b.

There are at least two teams which have at least two points each

c.

There are at most three terms which have at least three points each

d.

There are at most four terms which have at most two points each.

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