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objective Ques (75 results)
11)

If x = \(\sqrt{1+\frac{\sqrt{3}}{2}-}\sqrt{1-\frac{\sqrt{3}}{2}}\), then the value of\( \frac{\sqrt{2}-x}{\sqrt{2}+x}\) will be closest to:

SSC CGL 2019
A)

0.17

B)

0.12

C)

1.4

D)

1.2

12)

If \( a^3 + b^3 = 218 \) and a + b = 2, then the value of ab is:

SSC CGL 2019
A)

34

B)

-35

C)

-31

D)

32

13)

If \(2\sqrt{2}x^3-3\sqrt{3}y^3=\)\(\left(\sqrt{2}x-\sqrt{3}y\right)\)\(\left(Ax^2+By^2+Cxy\right)\), then the value of \(( A^2 + B^2 - C^2 )\) is:

SSC CGL 2019
A)

11

B)

7

C)

19

D)

10

14)

ab(a - b) + bc(b - c) + ca(c - a) is equal to :

SSC CGL 2019
A)

(a + b)(b - c)(c - a)

B)

(a - b)(b + c)(c - a)

C)

(a - b)(b - c)(c - a)

D)

(b - a)(b - c)(c - a)

15)

Given that \((5x-3)^3+(2x+5)^3\)\(+27(4-3x)^3=\)\(9(3-5x)\)\((2x+5)\)\((3x-4)\), then the value of (2x + 1) is:

SSC CGL 2019
A)

-13

B)

15

C)

-15

D)

13

16)

If \(5\sqrt5x^3+2\sqrt2y^3=\)\((Ax+\sqrt2y)\)\( (Bx^2+2y^2+Cxy)\), then the value of \((A^2+B^2-C^2)\) is :

SSC CGL 2019
A)

15

B)

20

C)

30

D)

40

17)

The value of \({2\sqrt{10}\over\sqrt{5}+\sqrt{2}-\sqrt{7} }\)\(-{\sqrt{\sqrt{5}-2\over\sqrt{5}+2}}\)\(-{3\over\sqrt{7}-2}\) is :

SSC CGL 2019
A)

\(2 +\sqrt2\)

B)

\(2\sqrt5\)

C)

\(\sqrt2\)

D)

\(\sqrt7\)

18)

If  \({3(x^2+1)-7x\over3x}=6\)\(x\neq0\), then the value of \(\sqrt x+{1\over\sqrt x}\) is :

SSC CGL 2019
A)

\(\sqrt{25\over3}\)

B)

\(\sqrt {11\over3}\)

C)

\(\sqrt{35\over3}\)

D)

\(\sqrt{31\over3}\)

19)

a, b and c are three fractions such that a < b < c. If c is divided by a, the result is \(9\over2\), which exceeds b by \(23\over6\). The sum of a, b and c is \(19\over12\). What is the value of (2a + b - c)?

SSC CGL 2019
A)

\(1\over2\)

B)

\(1\over3\)

C)

\(1\over12\)

D)

\(1\over4\)

20)

Let \(x=\sqrt [6]{27}-\sqrt{6\frac{3}{4}}\) and \(y={\sqrt {45}+\sqrt{605}+\sqrt{245}\over\sqrt {80} +\sqrt{125}}\), then the value of \((x^2+y^2)\) is :

SSC CGL 2019
A)

\(223\over36\)

B)

\(221\over36\)

C)

\(221\over9\)

D)

\(227\over9\)

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