Quantitative Aptitude - Arithmetic Ability Questions

The least number which when divides 37044, gives the result a perfect cube, is:

The length of the diagonal of a square is 10 cm. What is area of this square?

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

The sum of two positive integers is 80 & difference between them is 20. Then what is difference of squares of those numbers ?

Select the odd number from the given alternatives.

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

The effective annual rate of interest corresponding to a nominal rate of 15% per annum payable half-yearly is

Pankaj has done 1/2 of a job in 12 days, Sainath completes the rest of the job in 6 days. In how many days can they together do the job?