51). If \( \Large \sqrt{N}-N=\frac{2}{9} \) then
A). \( \Large N = \frac{1}{9} \) |
B). \( \Large N = \frac{4}{9} \) |
C). \( \Large N = \frac{1}{9}\ or\ \frac{4}{9} \) |
D). \( \Large N = \frac{1}{81} \) |
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52). 52. If \( \Large x=\sqrt{12}-\sqrt{11} y=\sqrt{7}-\sqrt{6} z=\sqrt{6}-\sqrt{5} \)\ then the smallest to biggest is
A). x, y, z |
B). x, z, y |
C). z, x, y |
D). z, y, x |
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53). Sum of the squares of two consecutive natural number is 165. They are
A). 8, 9 |
B). 10, 11 |
C). 11, 12 |
D). 12, 13 |
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54). The sum of first 50 natural numbers is
A). 2525 |
B). 1725 |
C). 1275 |
D). 2550 |
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55). If 1+2+3+....+100 = \( \Large \frac{100 \times 101}{2} = 5050 then 51+52+...100 equals \)
A). \( \Large \frac{51 \times 52}{2} \) |
B). \( \Large \frac{52 \times 53}{2} \) |
C). \( \Large \frac{50 \times 51}{2} \) |
D). 3775 |
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56). The value of \( \Large \sqrt{43+\sqrt{31+\sqrt{21+\sqrt{11+\sqrt{25}}}}} \)
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57). The geometric mean of two number is 16. If one number is 32. The other number is
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58). Correct math of the factors for the expression is
A). x+1 |
B). x-1 |
C). x-2 |
D). x+2 |
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