Quantitative Aptitude - Arithmetic Ability Questions

9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

If a - b = -7 and a2+ b2= 85, then find ab.

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

If x = 1.1, then what is the value of 4x2 -4x + 1 ?

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

Four pairs of words are given. Find the odd one out.

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