Quantitative Aptitude - Arithmetic Ability Questions

If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?

The average of 100 observations was calculated as 35.It was found later, that one of the observation was misread as 83 instead of 53. The correct average is :

In the following question, select the odd word from the given alternatives.

P and Q together can make a door in 12 days. They started the work together but after 8 days P left the work. The remaining work is completed by Q alone in 7 more days. In how many days can P alone complete the entire work?

What is the simplified value of tan (θ/2) + cot (θ/2)?

In each of these questions, a question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. What are the marks scored by Abhijit in English?

I. Marks scored by Abhijit in Maths are more than his marks in Science by 20.

II. Total marks scored by Abhijit in Maths, Science and English are 198.

III. Marks scored by Abhijit in Science are more than his marks in English by 12.

A and B together can do a piece of work in 10 days. If A can do the work in 15 days, find in how many days that B alone can do the same work. Given below are the steps involved in solving the above problem. Arrange them in sequential order.

A) One day's work of B is 1/10 - 1/15

B) One day's work of A and B is 1/10 and One day's work of A is 1/15

C) B alone can do the work in 30 days

D) One day's work of B is 1/30

Select the odd letters from the given alternatives.