Quantitative Aptitude - Arithmetic Ability Questions

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

Find out the odd word/letters/number/number pair from the given alternatives.

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

What is the value of √[(1 ­- cosA)/(1 + cosA)]?

If the value of √30  is approximately 5.477, then what is the approximate value of 56 ?

What is the value of xy if x - y = 3 and x2+y2=15?

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?