CDS MATHEMATICS QUIZ 11

Question 1:

Simplify :

$\left(\frac{343}{1024 \times 8 \times 4}\right)^{\frac{1}{3}} \times(256)^{\frac{1}{2}}$

$7 / 16$

$7 / 4$

$49 / 2$

$7 / 2$

Question 2:

Simplify:- $3^{-2} \times 81^{\frac{3}{4}} \div(729)^{\frac{-1}{3}}$

9

27

81

None of the Above

Question 3:

$ 2^{73}-2^{72}-2^{71}$ is the same as

$2^{69}$

$2^{70}$

$2^{71}$

$2^{72}$

Question 4:

simplify:

$\frac{14^{n+4}+7^{n+3} \times 2^{n+3}}{13 \times 14^{n-1}+14^{n}}$

2940

2490

2049

None of these

Question 5:

If $3^{2 x+3}-244 \times 3^{x}=-9$, then which of the following statements is true?

$x$ ' is a positive number

$x$ ' is a negative number

$x$ ' can be either a positive number or a negative number

None of the above

Question 6:

If $x=-0.5$, then which of the following has the smallest value?

$2^{1 / x}$

$1 / x$

$1 / x^{2}$

$2^{x}$

Question 7:

Which among $2^{1 / 2}, 3^{1 / 3}, 4^{1 / 4}, 6^{1 / 6}$, and $12^{1 / 12}$ is the largest?

$2^{1 / 2}$

$3^{1 / 3}$

$4^{1 / 4}$

$6^{1 / 6}$

Question 8:

Simplify:-

$\left(\frac{1728}{729}\right)^{1 / 3} \times \frac{3^{2}}{\sqrt{144}} \times \sqrt{5}$

1

2

3

None Of These

Question 9:

If $\left[\left(\sqrt{\frac{16}{25}}\right)^{4 x-9}\right]^{3}=\frac{64}{125}$, find $x$

$3 / 2$

2

$5 / 2$

None of these

Question 10:

$\left(\frac{2 a}{b}\right)^{2 x-4}=\left(\frac{b}{2 a}\right)^{2 x-4}$, find value of $x$

2

4

6

8