Quantitative Aptitude - Arithmetic Ability Questions

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

Two pipes A and B can fill an empty cistern in 18 and 27 hours, respectively. Pipe C can drain the entire cistern in 45 hours when no other pipe is in operation. Initially, when the cistern was empty Pipe A and Pipe C were turned on. After a few Pipe A was turned off and Pipe B was turned on instantly. In all, it took 55 hours to fill the cistern. For how many hours was Pipe B turned on?

Ms. Kavitha borrowed Rs. 950 at 6% per annum simple interest. What amount will she pay to clear her debt after 4 years?

There was a group of 6 students who took a test. Another student joined the group after taking the test later. With her marks included the average score of the group went up by 3. This student has got ___ marks more than the average marks without her being included.

 Find the volume (in cm3) of a hemisphere of diameter 42 cm.

The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.

ΔABC is right angled at B. If m∠A = 60 deg, then find the value of (secC + 2)