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  1. If x +
    1
    		 = 5, then x6 +
    1
    		 is
    xx6

    1. 12098
    2. 12048
    3. 14062
    4. 12092
Correct Option: A

x +
1
 = 5
x

On cubing both sides,
⇒ x +
1
3 = (5)3
x

⇒ x3 +
1
 + 3x.
1
x +
1
 = 125
x3xx

⇒ x3 +
1
 + 3 × 5 = 125
x3

⇒ x3 +
1
 = 125 - 15 = 110
x3

On squaring both sides,
x6 +
1
 + 2.x3.
1
 = 12100
x6x3

⇒ x6 +
1
 = 12100 – 2 = 12098
x6


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