Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (1/2) Sec 30° + √2 Tan 60°?

If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

Mother can bake 20 cakes in 4 hours, Mother and Dadima together can bake 60 cakes in 10 hours. How many cakes Dadima can bake in 30 hours?

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?

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 x2+1x2-6, then find the value of 2x(x-1)x3-x2-x+1

The average salary of all workers in a workshop is Rs.12000. The average salary of 7 technicians is Rs.15000 and the average salary of the rest is Rs.9000. The total number of workers in the workshop is

Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?