Quantitative Aptitude - Arithmetic Ability Questions

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

Δ DEF is right angled at E. If m∠D = 45°, then what is the value of cosecF X cotD?

If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2?

In how many years will Rs 25,000 yield Rs 8,275 as compound interest at 10% per annum compounded annually?

Atul can do a piece of work in 18 days, Aaravya is 50% more efficient than Atul. How much more time does Atul take than Aaravya to do the same piece of work?

A, B and C invest to start a restaurant. The total investment was Rs 3 lakhs. B invested Rs 50,000 more than A and C invested Rs 25,000 less than B. If the profit at the end of the year was Rs 14,400 then what is C's share of the profit (in Rs)?

In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly How many students from institute 'A' got placement?

I. Number of students studying in institutes A and B are in the ratio of 3:4 respectively.

II. Number of students who got placement from institute B is 120% of the number of students who got placement from institute A

III. 80% of the students studying in institute B got placement.

A solid has 12 vertices and 30 edges. How many faces does it have?