Quantitative Aptitude - Arithmetic Ability Questions

x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

The area of a rhombus having one side 10 cm and one diagonal 12 cm is

The income of a person is Rs 45000 and his expenditure is Rs 33000. If his income is increased by 22% and expenditure in increased by 11%, then what will be the percentage increase in his savings?

ΔDEF is similar to ΔGHI. Length of DE is 9 cm and length of the corresponding side GH is 16 cm. What is the ratio of areas of Δ DEF : Δ GHI?

The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?

Rajat sells a machine for Rs 53 lakhs at a loss. Had he sold it for Rs 64 lakh, his gain would have been 10 times the former loss. Find the cost price of the machine.

When 0.151515.....is converted into a fraction, then the result is

In ∆ABC two medians BE and CF intersects at the point O and P,Q are the midpoints of BO and CO respectively. If the length of PQ=3cm, then the length of FE will be