Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (32 cos6x – 48 cos4x + 18 cos2x – 1)/[4 sin x cos x sin (60 – x) cos (60 – x) sin (60 + x) cos (60 + x)]?

In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

If a3- b3= 91 and a - b = 1, then what is the value of ab?

ABCD is a kite where m∠A is 90° and m∠C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

In the following question, select the odd word from the given alternatives.

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

The difference between the compound interest compounding half yearly for 1 year and the simple interest for 1 year on a certain sum of money lent out at 8% per annum is Rs 64. What is the sum (in Rs)?

The difference between cost price and selling price is Rs 575. If profit percentage is 23%, then what is the selling price (in Rs)?