SSC CGL 2024 PYQ — Question 54

SSC CGL - 18 Sep 2024 - Shift 2 • Quantitative Aptitude • Q54

If X+1x = 2X+{1\over x}\ =\ 2, then find the value of (x2723 + 1x3356)(x^{2723}\ +\ {1\over x^{3356}}) .

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 2.

X+1x = 2X+{1\over x}\ =\ 2

While putting x = 1 , above equation will be satisfied.

(x2723 + 1x3356)(x^{2723}\ +\ {1\over x^{3356}})

substitute the value of x = 1 in above equation , we get

12723^{2723} + 13356^{3356} = 1 + 1 = 2