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If (x - 1/x)² = 3, then the value of x⁶ + 1/x⁶ equals

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value of y, is:

If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x³ + y³ + z³ + xyz  is :

There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.

Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.

The value of = 3/4 ÷ 3/4  of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :

The expression of (cot θ + cosec θ −1) / (cot θ − cosec θ+1) is equal to

If 2y cos θ  = x sin θ  and 2x sec θ -  y cosec θ  = 3, then the value of x²+ 4y² is

If x + y + z = 0, then what is the value of (3y² + x² + z²)/(2y² – xz)?

The simple interest accrued on a sum at the rate of 10% p.a. for two years is Rs. 5,000.