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##### objective Ques (69 results)
1)

Expand: $${(4a + 3b +2 c)^2}$$

SSC CGL 2020
A)

$${4a^2 + 3b^2 +2c^2+24ab +12bc + 16ca}$$

B)

$${16a^2 - 9b^2 +4c^2-24ab +12bc - 16ca}$$

C)

$${16a^2 + 9b^2 +4c^2+24ab +12bc + 16ca}$$

D)

$${16a^2 + 9b^2 +4c^2-24ab -12bc - 16ca}$$

2)

If A + B = 12 and AB = 17, what is the value of $${A^3 + B^3}$$ ?

SSC CGL 2020
A)

1116

B)

1106

C)

1166

D)

1213

3)

$$(3a - 4b)^3$$ is equal to:-

SSC CGL 2020
A)

$$27a^3-64b^3$$

B)

$$27a^3-64b^3-108a^2b+144ab^2$$

C)

$$9a^2-24ab + 16b^2$$

D)

$$9a^2-16b^2$$

4)

If $${x^8-1442x^4+1}=0$$, then a possible value of (x - $${1\over x}$$) is :

SSC CGL 2019
A)

5

B)

8

C)

4

D)

6

5)

If $${ \sqrt{86-60\sqrt2}}=a-b\sqrt2$$, then what will be the value of $${\sqrt{a^2+b^2} }$$ , correct to one decimal place?

SSC CGL 2019
A)

8.4

B)

8.2

C)

7.8

D)

7.2

6)

If $${a^2+b^2+c^2+96}=8(a+b-2c)$$, then $${\sqrt {ab-bc+ca}}$$ is equal to :

SSC CGL 2019
A)

6

B)

$${2\sqrt2}$$

C)

4

D)

$${2\sqrt3}$$

7)

In a school, $${4 \over 9}$$ of the number of students are girls and the rest are boys. $${3 \over 5}$$ of the number of boys are below 12 years of age and $${5 \over 12}$$ of the number of girls are 12 years or above 12 years of age.

If the number of students below 12 years of age is 480, then $${5 \over 18}$$ of the total number of students in the school will be equal to :

SSC CGL 2019
A)

270

B)

315

C)

225

D)

240

8)

If x + y + z =11, $${x^2 + y^2 + z^2 = 133}$$ and $${x^3 + y^3 + z^3 = 881}$$, then the value of $$\sqrt{xyz}$$ is :

SSC CGL 2019
A)

-6

B)

6

C)

-8

D)

8

9)

The value of  $${(253)^3+(247)^3}\over {25.3\times25.3-624.91+24.7\times24.7}$$ is $${50\times10^k}$$, then the value of k is :

SSC CGL 2019
A)

3

B)

4

C)

2

D)

-3

10)

If  $${(\sqrt2+\sqrt5-\sqrt3)\times k=-12}$$, then what will be the value of k ?

SSC CGL 2019
A)

$${\sqrt2+\sqrt5+\sqrt3}$$

B)

$${(\sqrt2+\sqrt5+\sqrt3)(2-\sqrt10)}$$

C)

$${(\sqrt2+\sqrt5-\sqrt3)(2+\sqrt5)}$$

D)

$${(\sqrt2+\sqrt5+\sqrt3)(2-\sqrt5)}$$

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