Quantitative Aptitude - Arithmetic Ability Questions

Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is

If a3 + b3 = 35 and ab = 6, then what is the value of a + b?

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

If C + 1C = 3, then what is the value of C-37+1C7?

2cos[(C+D)/2]sin[(C-D)/2] is equal to

If  tan2A / (secA -­ 1)2 = x, then the value of x is

What is the value of Tan 45° + 4/√3 Sec 60°?