Quantitative Aptitude - Arithmetic Ability Questions

If 4(2x + 3) > 5 -­ x and 5x - ­3(2x­ - 7) > 3x -­ 1, then x can take which of the following values?

In a Rhombus ABCD, measure of angle CAB is 25°, what is the measure of angle ABC?

The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C’s income is Rs 4000 more than the half of E’s income, then what is the D’s income (in Rs)?

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

If cosθ = x2-y2x2+y2, then the value of cotθ is

A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?

An exterior angle of a triangle is 115 deg and one of the interior opposite angle is 45 deg. Then the other two angles are

5% more is gained by selling a watch for Rs. 350 than by selling it for Rs. 340. The cost price of the watch is