Exams

ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?

If (36 - 16x) - (4x - 8) = 4, then the value of x is

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

What is the unit of relative density?

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.

This was enough ___________ the book store-owner-turned librarian Husain to asses its valuable contents. "The preface of the book read: 'painters __________ technical knowledge to paint, but lack to understand nature, ______________ they fail to create a masterpiece," points out Husain, adding, "All I ______________ in my life is about books and from books. The grand library ___________ the palace is a cache of knowledge."

All I ______________ in my life is about books and from books.

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?

A money lender lends Rs. 400 for 3 years to a person and lends Rs. 500 for 4 years to the other person at the same rate of simple interest. If altogether he receives Rs. 160 as interest, what is the rate of interest per annum ?