Question Answer : Surds and Indices-ENGLISH

Q.1	The value of $(3^{3} + 3^{2} + 3^{- 2} + 3^{- 3})$ ? A. $\frac{745}{72}$ B. $\frac{622}{976}$ C. $\frac{976}{27}$ D. $\frac{27}{976}$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.2	$\frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{a - b} + x^{c - b}}$ The value of? A. $x^{a - b - c}$ B. 1 C. 0 D. 3 Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.3	If $x = y^{a}, y = z^{b}$ and $z = x^{c}$ So what is the value of abc? A. 4 B. 2 C. 1 D. 3 Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.4	If ${(\frac{p}{q})}^{n - 1} = {(\frac{q}{p})}^{n - 3},$ then what is the value of n? A. $\frac{1}{2}$ B. $\frac{7}{2}$ C. 1 D. 2 Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.5	If $a$ and b are positive integers $a^{b} = 125$ then ${The value of (a - b)}^{a + b - 4}$ ? A. 16 B. 25 C. 28 D. 30 Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.6	$\sqrt[3]{4}, \sqrt[4]{6}, \sqrt[6]{15}$ and $\sqrt[12]{245}$ Which is the largest? A. $\sqrt[4]{6}$ B. $\sqrt[3]{4}$ C. $\sqrt[6]{15}$ D. $\sqrt[12]{245}$ Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.7	Arrange following in decrease order ? $\sqrt[3]{4}, \sqrt{2,} \sqrt[6]{3}, \sqrt[4]{5}$ A. $\sqrt[3]{4} > \sqrt[4]{5} > \sqrt{2} > \sqrt[6]{3}$ B. $\sqrt[4]{5} > \sqrt[3]{4} > \sqrt[6]{3} > \sqrt{2}$ C. $\sqrt{2} > \sqrt[6]{3} > \sqrt[3]{4} > \sqrt[4]{5}$ D. $\sqrt[6]{3} > \sqrt[4]{5} > \sqrt[3]{4} > \sqrt{2}$ Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.8	If $\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}} = a + b \sqrt{35}$ then what is the value of $(a - b)$ , where is $a$ Is a positive integer? A. 5 B. 6 C. 8 D. None of these Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.9	$\frac{2 \sqrt{3}}{\sqrt{10} - \sqrt{8}}$ what is the rational form of it’s? A. $\sqrt{3} + 5$ B. $\sqrt{6} (\sqrt{5} + 2)$ C. $2 \sqrt{3} + 5$ D. None of these Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.10	${(\frac{81}{169})}^{- \frac{1}{2}} = ?$ A. $\frac{3}{169}$ B. $\frac{9}{169}$ C. $\frac{9}{13}$ D. $\frac{13}{9}$ Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.11	${(\frac{32}{243})}^{\frac{- 4}{5}} = ?$ A. $\frac{16}{81}$ B. $\frac{81}{16}$ C. $\frac{4}{9}$ D. $\frac{9}{4}$ Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.12	$\frac{3^{n + 2} - 3^{n + 1}}{3^{n + 4} + 3^{n + 1}} = ?$ A. $\frac{1}{5}$ B. $\frac{1}{10}$ C. $\frac{1}{14}$ D. $\frac{1}{28}$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.13	${{(2^{4})}^{\frac{1}{2}}}^{?} = 256$ A. 1 B. 2 C. 4 D. 8 Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.14	$8^{3} \times 8^{2} \times 8^{- 5} = ?$ A. 0 B. 1 C. 8 D. None of these Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.15	${(\frac{1}{216})}^{- \frac{2}{3}} \div {(\frac{1}{27})}^{- \frac{4}{3}} = ?$ A. $\frac{3}{4}$ B. $\frac{2}{3}$ C. $\frac{4}{9}$ D. $\frac{1}{8}$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.16	If $2^{2 x} + 4 = 16^{x}$ then $x^{3} = ?$ A. 8 B. 16 C. 27 D. 64 Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.17	If $3^{x + 3} + 7 = 250$ then $x = ?$ A. 1 B. 2 C. 3 D. 5 Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.18	If $5^{x + 3} = {(25)}^{3 x - 4}$ then $x = ?$ A. $\frac{5}{11}$ B. $\frac{13}{5}$ C. $\frac{11}{3}$ D. $\frac{11}{5}$ Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.19	If $2^{x - 1} + 2^{x + 1} = 320$ then $x = ?$ A. 6 B. 8 C. 5 D. 7 Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.20	If $2^{x + 4} - 2^{x + 2} = 3$ then $x = ?$ A. 0 B. 2 C. -1 D. -2 Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question

IIT JEE

AIIMS

Metro

DFCCIL

Assistant Station Master

Assistant Loco Pilot

Other

Graduate Level

Clerk

Army Agniveer

Navy

Police

Air Force

RBSE

CBSE

IB ACIO

General Aptitude

Reasoning

General English

General Knowledge

Surds and Indices

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!

Discussion

Error Report!!