Quantitative Aptitude - Arithmetic Ability Questions

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

∆DEF is right angled at E. If m∠F = 45°, then find the value of (cosecD - 1/√3).

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

Find the odd word/letters/numbers pair from the given alternatives.

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

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

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?