Quantitative Aptitude - Arithmetic Ability Questions

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

What is the simplified value of (sec4 A – tan2 A) – (tan4 A + sec2 A)?

Which of the following is equivalent to 0.565656...?

If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?

The age of A is three times the age of B. What is the ratio of the age of B to the age of A?

In figure, DE || BC. If DE = 3 cm, BC = 6 cm and area of ΔADE = 15 sq cm, then the area of ΔABC is