Aptitude and Reasoning Questions

A tap can fill a tank in 20 minutes. If a leakage is capable of emptying the tank in 60 minutes, the tank will be filled in

In a number system, on dividing 11509 by a certain number, Mukesh gets 71 as quotient and 7 as remainder. What is the divisor?

Calculate the ratio of the area of two similar triangles if the sides of the triangles are in the ratio of 9:4.

The value of sec2θ + 2tanθcotθ - tan2θ is

Curved surface area of a cylinder is 660 sq cm. If circumference of its base is 44 cm, find the volume of the cylinder?

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Petrol prices are increasing in the economy.
(II) The price of crude oil in international market has not shown reasonable increase.

Conclusions:
(I) The inflation has hit various commodities like petrol in the country.
(II) Demand for petrol is increasing but supply has not picked up with the same rate, hence resulting into hike in prices.

The weights of 4 boxes are 40, 30, 50 and 20 kilograms. Which of the following cannot be the total weight,in kilograms, of any combination of these boxes and in a combination a box can be used only once?

The diagram below represents the students who study Physics, Chemistry and Mathematics. Study the diagram and identify the region which represents students who study both Physics and Chemistry but not Mathematics. ?