Quantitative Aptitude - Arithmetic Ability Questions

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Select the odd word/letters/number/number pair from the given alternatives.

If x + 1x = -2, then the value of x631 + 1x632?

If X + Y + Z = 9 then the value of (X -­ 4)3 + (Y -­ 2)3 + (Z -­ 3)3 - 3 (X -­ 4) (Y -­ Z) (Z ­- 3) is

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

Determine the value of 'x' in x = 11+2+12+3+13+2

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?

If ABCD is a trapezium, AC and BD are the diagonals intersecting each other at point O. Then AC : BD is