Quantitative Aptitude - Arithmetic Ability Questions

Findout the odd word/letters/number/number pair from the given alternatives.
7 : 50 : : 9 : ?

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

The least number which when divides 37044, gives the result a perfect cube, is:

Deepak marks the price of his table 60% above the cost price. He gives some discount on it and earns profit of 15.2%. What is the discount percentage?

Naveen purchased a gas cylinder and a stove for Rs.4500. He sold the gas cylinder at a gain of 25% and the stove at a loss of 20%, still gaining 4% on the whole. Find the cost of the gas cylinder.

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

ΔABC is right angled at B. BD is the altitude. AD is 18 cm and DC is 50 cm. Find length of BD?

The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6 is: