Quantitative Aptitude - Arithmetic Ability Questions

If sinθ+cosθsinθ-cosθ=3,then the value of sin4θ-cos4θ is

A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

If a1-2a+b1-2b+c1-2c = 12, then 11-2a+11-2b+11-2c value is

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are

The average marks obtained by a group of 16 students was 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.5. What was the average marks obtained by the student who left and the one who joined?

Δ LMN is right angled at M. If m∠N = 45°, what is the length of MN (in cm), if NL = 9√2 cm?

The value of sinθ1+cosθ + sinθ1-cosθ