Exams

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

The radius of curvature of a concave mirror is 30 cm. Following Cartesian Sign Convention, its focal length is expressed as

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

A bad patch

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

We often feel, in such an environment, that our social sphere _____________ around us. We can see, in quantitative values — the number of likes, re-posts, shares — the interest garnered by anything created by us. This makes social interaction slightly more ___________, when we start to think of it in number terms. It becomes easier to see it in visual terms, rather ________ emotive cues. And _____________ that happens we are motivated to reveal only those parts of ____________ that we know will trigger a considerable quantitative response.

those parts of ____________ that we know

Average age of 6 boys is 14 years. Average age of 11 girls is 12 years. What is the average age (in years) of all boys and girls?

Select the option that will correctly fit in the blank space in the given figure series.

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) India's GDP continues to grow at one of the reasonable rates but job creation is not picking up the similar pace.
(II) Every year over 20 million young Indians join the workforce.

Conclusions:
(I) Population increase is more than the job creation rate.
(II) Supply basket is less and the demand basket for jobs is very high.

cos(A+B) + cos(A-B) is equal to