Quantitative Aptitude - Arithmetic Ability Questions

The least value of tan2x + cot2x is

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?

An engineering student has to secure 36% marks to pass. He gets 53 and fails by 37 marks. Find the maximum marks.

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

The average of 12 numbers is 35. If four numbers 20, 27, 15 and 29 are removed then what will be the average of remaining numbers?

Simple interest on a sum for 12 months at the rate of 25% per annum is Rs 935.What is the value (in Rs) of sum?

If a = 1/a-5, then the value of a + 1/a = ?

The length of the diagonal of a square is 12 cm. Find its area (in cm2).