Quantitative Aptitude - Arithmetic Ability Questions

S and T can finish a work in 50 days. They worked together for 20 days and then left. How much of the work is left?

An engineering student has to secure 45% marks to pass. He gets 54 and fails by 36 marks. Find the maximum marks.

90% of X = 40% of Y and Y = a% of X. What is the value of a?

Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1. What is the number of tanks after the war.

Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

In a trapezium ABCD, AB and DC are parallel sides and ∠ ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is

Surbhi invested Rs.6000 for 5 months and Urba invested Rs.5000 for 6 months in a venture. The ratio in which they will share the profits is