Quantitative Aptitude - Arithmetic Ability Questions

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

In the following question, select the odd letter/letters from the given alternatives.

The ratio between the speeds of two buses is 11:9. If the second bus runs 270 kms in 15 hours, then the speed of the first bus is?

Each of the questions below consists of a question and two statements numbered, I and II given below it. You have to decide whether the data given in the statements are sufficient to answer the question. Read both statements and choose the most appropriate option. Among M, N, D, P and K, who earns more than only the least earner among them?

I. N earns more than M and P but less than only D.
II. M earns more than P who earns more than K.

If sec -7π/4 = x, then the value of x is

What is the value of 9991 x 10009?

The sum of all prime numbers between 58 and 62 is

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)