Quantitative Aptitude - Arithmetic Ability Questions

If tan 45° + cosec 30° = x, then find the value of x.

What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?

Divide 13,680 in three parts such that 1st part is 3/5th of the third part and the ratio between 2nd and 3rd part is 4:7. How much is the first part?

If 70% of total articles are sold at a profit of 20% and remaining articles are sold at a loss of 20%, then what will be the overall profit percentage?

What smallest number should be added to 2401 so that the sum is completely divisible by 14 ?

A carpenter can build a cupboard in 64 hours. After 16 hours he takes a break. What fraction of the cupboard is yet to be built?

In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is 540 and fee of each girl is 25% less than that of a boy. The sum of fees of boys & girl is

One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus?