Exams

Which of the following quadratic equations has equal roots?

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

The table given below shows the information about bats manufactured by 6 different companies. Each company manufactures only plastic and wooden bats. Each company labels these bats as Brand A and Brand B. The table shows the number of plastic bats as a percentage of total bats manufactured by each company. It also shows the ratio of wooden bats labeled A and B. Each company manufactured a total of 550000 bats.

N = Wooden bats of Brand B manufactured by U.
M = Total wooden bats manufactured by R and W together.

What is the value of N/M?

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

A metrical thinker should always be moving in a direction which is beneficial and have always been right at every ______

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No Error.

As several studies shows over (1)/ the years, the annual data is useful in (2)/ reviewing trends of extreme events. (3)/ No error. (4)

The oldest rock­cut architecture is found in ________________.