Question Answer : Surds and Indices-HINDI

Q.1	$(3^{3} + 3^{2} + 3^{- 2} + 3^{- 3})$ का मान है? 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	$\frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{a - b} + x^{c - b}}$ का मान है? 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	यदि $x = y^{a}, y = z^{b}$ तथा $z = x^{c}$ तो abc का मान क्या है? 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	यदि ${(\frac{p}{q})}^{n - 1} = {(\frac{q}{p})}^{n - 3},$ तो n का मान क्या है? 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	यदि $a$ और b धनात्मक पूर्णांक हैं व $a^{b} = 125$ है तो ${(a - b)}^{a + b - 4}$ का मान क्या है? 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	$\sqrt[3]{4}, \sqrt[4]{6}, \sqrt[6]{15}$ और $\sqrt[12]{245}$ में कौनसा सबसे बड़ा है? 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	निम्न को अवरोही (घटते) क्रम में व्यस्थित कीजिए? $\sqrt[3]{4}, \sqrt{2,} \sqrt[6]{3}, \sqrt[4]{5}$ 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	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}} = a + b \sqrt{35}$ हो तो $(a - b)$ का मान क्या है, जहाँ $a$ धनात्मक पूर्णांक है? A. 5 B. 6 C. 8 D. इनमे से कोई नहीं Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.9	$\frac{2 \sqrt{3}}{\sqrt{10} - \sqrt{8}}$ के हर का परिमेय रूप क्या होगा? A. $\sqrt{3} + 5$ B. $\sqrt{6} (\sqrt{5} + 2)$ C. $2 \sqrt{3} + 5$ D. इनमे से कोई नहीं 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. इनमे से कोई नहीं 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	यदि $2^{2 x} + 4 = 16^{x}$ हो तो $x^{3} = ?$ 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	यदि $3^{x + 3} + 7 = 250$ हो तो $x = ?$ 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	यदि $5^{x + 3} = {(25)}^{3 x - 4}$ हो तो $x = ?$ 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	यदि $2^{x - 1} + 2^{x + 1} = 320$ हो तो $x = ?$ 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	यदि $2^{x + 4} - 2^{x + 2} = 3$ हो तो $x = ?$ 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

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