Quantitative Aptitude - Arithmetic Ability Questions

Δ DEF is right angled at E. If m∠D = 30°, what is the length of DE (in cm), if EF = 6√3 cm?

If x3+ 2x2– 5x + k is divisible by x + 1, then what is the value of k?

In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those studnets who passed in both the subjects ?

There is a three digit number. The digit at the tenth place is 3. If the place of all the digits are replaced with each other symmetrically about the tens position,then the new number obtained is 396 more than the original three digit number. The sum of the digits at unit & hundredth place is 14. Find out the original number?

If a - b = -5 and a2+b2=73, then find ab.

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is

A loan of Rs. 305 was taken at a certain rate per annum of compound interest, for 3 years. After 3 years the amount repaid was Rs. 670, calculate the rate of compound interest.

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is