KVPY Stream-SA (Class 11) Math: Questions 245 - 249 of 265

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Question number: 245

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

Let a,b be non-zero real numbers. Which of the following statements about the quadratic equation ax2(a+b)x+b=0 is necessarily true?

(i) It has at least one negative 1

(ii) It has at least one positive 1

(iii) Both roots are negative

(iv) Both roots are positive (Model paper)

Choices

Choice (4) Response

a.

(i) and (iv) only

b.

(i) only

c.

(i) and (ii) only

d.

(ii) and (iii) only

Question number: 246

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

The number of values of k for which there is an isosceles triangle with sides of length k+7,2k3 and 92k is – (Model Paper)

Choices

Choice (4) Response

a.

0

b.

3

c.

1

d.

2

Question number: 247

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

MCQ▾

Question

On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 12, 26 and 36. The volume of the cuboid lies between – (Model Paper)

Choices

Choice (4) Response

a.

21and30

b.

11 and 20

c.

7 and 14

d.

31and40

Question number: 248

» Basic Mathematics » Arithmetic » Simplifying Expressions

MCQ▾

Question

The least positive integer n for which

n+1n1<0.6 is – (Model paper)

Choices

Choice (4) Response

a.

7

b.

2

c.

4

d.

3

Question number: 249

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

16 points lie in a plane so that no three of them are collinear. The number of lines passing through exactly two of these points and dividing the plane into two regions each containing seven of the remaining points is – (Model Paper)

Choices

Choice (4) Response

a.

dependent on the configuration of points

b.

16

c.

4

d.

8

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