Mathematics-Quadratic Equations (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 8 of 12

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Question number: 1

» Mathematics » Quadratic Equations

MCQ▾

Question

If

(x1x)=12

, then the value of

(6x2+6x2)

is

Choices

Choice (4) Response

a.

27/2

b.

9/2

c.

9/4

d.

25/4

Question number: 2

» Mathematics » Quadratic Equations

MCQ▾

Question

Sum of the roots of the equation x 2 + 5x + 6 = 0 is

Choices

Choice (4) Response

a.

4

b.

-4

c.

-5

d.

5

Question number: 3

» Mathematics » Quadratic Equations

MCQ▾

Question

If one root of 3x 2 = 8x + (2k + 1) is seven times the other, then the value of k is

Choices

Choice (4) Response

a.

23

b.

53

c.

53

d.

23

Question number: 4

» Mathematics » Quadratic Equations

MCQ▾

Question

If (y + 1 y)

(y+1y)

=12, then (y 3 + 1 y 3)

(y3+1y3)

is equal to

Choices

Choice (4) Response

a.

1692

b.

1686

c.

1680

d.

1968

Question number: 5

» Mathematics » Quadratic Equations

MCQ▾

Question

If

PQ=13,then27P34Q36P3Qisequalto

Choices

Choice (4) Response

a.

259

b.

143

c.

154

d.

None of the above

Question number: 6

» Mathematics » Quadratic Equations

MCQ▾

Question

If a and p are the roots of the quadratic equation

2x24x+1=0

. Then, the value of

1α+2β+1β+2α

is equal to

Choices

Choice (4) Response

a.

1317

b.

1712

c.

1217

d.

1117

Question number: 7

» Mathematics » Quadratic Equations

MCQ▾

Question

If the roots of x 2 -Ix + m = 0 differ by 1, then

Choices

Choice (4) Response

a.

I2=4m+2

b.

I2=4m1

c.

I2=4m+1

d.

I=4m2+1

Question number: 8

» Mathematics » Quadratic Equations

MCQ▾

Question

The roots of the equation x2+px+q=0 are 1 and 2. The roots of the equation qx2px+1=0 must be

Choices

Choice (4) Response

a.

12and1

b.

-12and1

c.

12and1

d.

None of the above

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