Quantitative Aptitude - Arithmetic Ability Questions

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

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

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

If a + b = 10 and ab- 13 = -ba - 11, then what is the value of 3ab + 4a2 + 5b2 ?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° – sin 20° sin 25° )]?

Find the value of 27a3 + 1a3, if 9a2 + 1a2 = 43

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?