Quantitative Aptitude - Arithmetic Ability Questions

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

The solution set of 4x -­ 3y = 10 and 3x + y = 14 is

In what ratio does the point T (3,0) divide the segment joining the points S (4,­2) and U (1,4)?

The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?

Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?

What is the simplified value of tan (θ/2) + cot (θ/2)?

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be