ABHYAS | Self Learning | Testing Platform

Q.1

Anup is four times as old as his son. If the sum of their ages is 50, find their ages.

A.

5 and 40 years.

B.

12 , 48 years

C.

10 and 40 years

D.

7 and 28 years.

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Q.2

Find the value of discriminant for the equation $x^2+7x+12=0$

A.

-1

B.

97

C.

1

D.

None of these

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Q.3

Find the quadratic equation :

$frac{1}{x}+frac{1}{(x+5)} = 2$

A.

$2x^{2}+8x-5 =0$

B.

$2x^{2}+8x+5 =0$

C.

$2x^{2}+10x-5 =6$

D.

None of these

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Q.4

Find the nature of the roots of $x^2+x+1=0$

A.

:Roots are real and equal

B.

Roots are imaginary or complex.

C.

Roots are real and unequal

D.

None of these

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Q.5

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

A.

Rs. 17000

B.

Rs. 20000

C.

Rs. 25500

D.

Rs. 38000

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Q.6

Express $x^{2} = x+4$ as a quadratic equation.

A.

$x^{2}-4 = 0$

B.

$x^{2}- x-4 = 67$

C.

$x^{2}- x-4 = 0$

D.

None of these

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Q.7

Express the following as a quadratic equation :

$(x+1)^{2} = 2(x-3)$

A.

$x^{2}+7= 0$

B.

$x^{2}+4x+7= 0$

C.

$x^{2}+7= 9$

D.

$x^{2}+17= 0$

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Q.8

The sum of the ages of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550. Express this in quadratic form.

A.

$2y^{2} -47y+ 550 =0$

B.

$y^{2} +47y+ 550 =0$

C.

$y^{2} -47y- 550 =0$

D.

$y^{2} -47y+ 550 =0$

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Q.9

If the three numbers are in the ratio 2:3:5, so that the sum of their squares is 608. Find the numbers respectively.

A.

8,12, 20

B.

12, 8, 20

C.

20, 8, 12

D.

20,12,8

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Q.10

Factorise: $large dpi{110} fn_phv a-b-a^2+b^2$ :

A.

(a-b)[1-(a+b)]

B.

(a+b)[1-(a-b)]

C.

(a-b)[1-(a-b)]

D.

none of these

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Attention !!!!!