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If (4x + 3y): (28x - y) = 1: 5, then what is the value of (3x ²  + 4y ² ): (7x ²  + 2y ² )?

If x ,y,z are three integers such that x +y = 8,y +z =13 and z +x =17,then the value of x² /yz   is:

If (x + y) = 10 and xy = 21, then find the value of (x² + y²).

Find the largest 5-digit number that is divisible by 12, 15, 18, and 24. Also, what is the remainder when this number is divided by 11?

Find the value of the given expression-

(4^x+4 -5× 4^x+2) / 15×4^x – 2²×4^x