Day 555: JEE Mains Maths

1. A.
   $\frac{1}{5}$
2. B.
   $\frac{5}{\sqrt{2}}$
3. C.
   $\frac{3}{\sqrt{2}}$
4. D.
   $\frac{1}{\sqrt{2}}$

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1. A.
   $18\sqrt{6} - \frac{31}{2}$
2. B.
   $18\sqrt{6} - \frac{33}{2}$
3. C.
   $12\sqrt{6} - \frac{33}{2}$
4. D.
   $12\sqrt{6} - \frac{31}{2}$

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1. A.
   $\frac{27}{4}$
2. B.
   $\frac{19}{4}$
3. C.
   $\frac{23}{4}$
4. D.
   $\frac{31}{4}$

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1. A.
   $1 + \ ^{n}C_{2}(8 - 5) + \ ^{n}C_{3}\left( 8^{2} - 5^{2} \right) + \ldots + \ ^{n}C_{n}\left( 8^{n - 1} - 5^{n - 1} \right)$
2. B.
   $1 + \ ^{n}C_{3}(8 - 5) + \ ^{n}C_{4}\left( 8^{2} - 5^{2} \right) + \ldots + \ ^{n}C_{n}\left( 8^{n - 2} - 5^{n - 2} \right)$
3. C.
   $\ ^{n}C_{3}(8 - 5) + \ ^{n}C_{4}\left( 8^{2} - 5^{2} \right) + \ldots + \ ^{n}C_{n}\left( 8^{n - 2} - 5^{n - 2} \right)$
4. D.
   $\ ^{n}C_{4}(8 - 5) + \ ^{n}C_{5}\left( 8^{2} - 5^{2} \right) + \ldots + \ ^{n}C_{n}\left( 8^{n - 3} - 5^{n - 3} \right)$

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