सराव प्रश्नसंच -1

1) √2, ∛3 यात मोठी संख्‍या कोणती?

1. √2
2. ∛3
3. √2
4. यापैकी नाही

Answer: ∛3

Explanation: #

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2) \[\left ( \sqrt{3} \right )^{5}\times 9^{2}=3^{n} \times 3\sqrt{3}\:, \: \: n=?\]

1. 5
2. 8
3. 3
4. 9

Answer: 5

Explanation: #

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3) \[\frac{\left ( 625 \right )^{6.25}\times \left ( 2.5 \right )^{2.6}}{\left ( 625 \right )^{6.75}\times \left ( 5 \right )^{1.2}}=?\]

1. 5
2. 125
3. 1255
4. 25

Answer: 25

Explanation: #

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4) 3√2, √3, 3√5, 1.5 यात मोठी संख्‍या कोणती?

1. √1.5
2. ∛3
3. ∛2
4. ∛5

Answer: √1.5

Explanation: #

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5) ∛2, √3, ∛5, 1.5 मध्‍ये मोठी संख्‍या कोणती? (SSC 2009)

1. 1.5
2. √3
3. ∛2
4. ∛5

Answer: √3

Explanation: #

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6)\[\sqrt{3},\sqrt[3]{4},\sqrt[4]{6},\sqrt[6]{8}\] यात मोठी संख्‍या कोणती?

1. \[\sqrt{3}\]
2. \[\sqrt[3]{3}\]
3. \[\sqrt[4]{4}\]
4. \[\sqrt[6]{6}\]

Answer: \[\sqrt[3]{3}\]

Explanation: #

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7)\[\sqrt[3]{-8}\times \sqrt[3]{16}=?\] (रेल्‍वे 2008)

1. -4
2. -2
3. 2
4. 4

Answer: -4

Explanation: #

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8) \[2^{\frac{1}{3}},3^{\frac{1}{3}},8^{\frac{1}{8}},9^{\frac{1}{9}}\] मध्‍ये मोठी संख्‍या कोणती? (AAO 2010)

1. \[2^{\frac{1}{3}}\]
2. \[3^{\frac{1}{3}}\]
3. \[8^{\frac{1}{8}}\]
4. \[9^{\frac{1}{9}}\]

Answer: \[3^{\frac{1}{3}}\]

Explanation: #

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9) \[\sqrt[]{15},\sqrt[6]{45},\sqrt[3]{17}\] यात लहान संख्‍या कोणती?

1. \[\sqrt{5}\]
2. \[\sqrt[3]{7}\]
3. \[\sqrt[6]{45}\]
4. सर्व समान

Answer: \[\sqrt[6]{45}\]

Explanation: #

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10) \[\sqrt[]{3},\sqrt[3]{5},\sqrt[4]{6}\]चढत्‍या क्रमाने मांडा?

1. \[\sqrt[4]{6},\sqrt[3]{5},\sqrt[]{3}\]
2. \[\sqrt[]{3},\sqrt[3]{5},\sqrt[4]{6}\]
3. \[\sqrt[4]{6},\sqrt[]{3},\sqrt[3]{5},\]
4. \[\sqrt[3]{5},\sqrt[]{3},\sqrt[4]{6},\]

Answer: \[\sqrt[4]{6},\sqrt[3]{5},\sqrt[]{3}\]

Explanation: #

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