Basic Mathematics-Algebra (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 8 of 8

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 6

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

The under of integers n for which 3x225x+n=0 has three real roots is –

Choices

Choice (4) Response

a.

Infinite

b.

55

c.

1

d.

25

Question number: 7

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

Let f:[0, 1][0,) be a continuous function such that 01f(x)dx=10 . Which of the following statement is NOT necessarily true?

Choices

Choice (4) Response

a.

1001sin(100x)f(x)dx10

b.

01f(x)(1+x)2dx10

c.

01exf(x)dx10

d.

01f(x)2dx100

Question number: 8

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2016

MCQ▾

Question

The number of integers k for which the equation x327x+k=0 has at least two distinct integer roots is –

Choices

Choice (4) Response

a.

2

b.

4

c.

1

d.

3

Sign In