Arithmatical - Square Roots and Cube Roots
DIRECTIONS : Problems based on Square Roots.
11. |
If x * y = x + y + √xy , then the value of 6*24 is |
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A. 41 |
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B. 42 |
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C. 43 |
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D. 44 |
Solution |
6 * 24 | = 6 + 24 + √6 × 24 |
‹=› 30 + √144 |
‹=› 30 + 12 |
‹=› 42. |
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12. |
A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to Rs.59.29, the number of members in the group is |
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A. 57 |
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B. 67 |
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C. 77 |
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D. 87 |
Solution |
Money collected | = (59.29 x 100 )paise |
= 5929 paise. |
Number of members | √5929 |
= 77. |
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13. |
If √5 = 2.236, then the value of 1 / √5 is |
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A. .367 |
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B. .447 |
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C. .745 |
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D. None of these |
Solution |
1 / √5 | = 1 / √5 × √5 / √5 |
‹=› √5 / 5 |
‹=› 2.236 / 5 |
= 0.447 |
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14. |
(√ 625 / 11 ×14 ×√25 ×11 / √196 ) is equal to |
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A. 5 |
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B. 6 |
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C. 8 |
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D. 11 |
Solution |
Given exp. | = (25 / 11 ×14 / 5 ×11 / 14) |
= 5. |
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15. |
Which one of the following numbers has rational square root? |
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A. 0.4 |
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B. 0.09 |
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C. 0.9 |
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D. 0.025 |
Solution |
√0.09 | = √9 / 100 |
= 3 / 10 |
= 0.3, which is rational. |
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