Quantitative Aptitude - Arithmetic Ability Questions

If sinθ x cosθ = 1⁄2 . The value of sinθ ­- cosθ is where 0°< θ< 90°

The amount received at 10% per annum compound interest after 3 yrs is Rs 10,648. What was the principal (in Rs)?

Two students appeared for an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are

The third proportional of two numbers 24 and 36 is

The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Y­axis to (4,­3). The co­-ordinates of point P are

A train 100 m long is running at a speed of 120 kms/hr. The time taken to pass a person standing near the line is

The average marks obtained by a group of 10 students were 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 20.6. What were the average marks obtained by the student who left and the one who joined?

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is