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objective Ques (72 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 \(\sqrt[3]{xyz}\) 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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