Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, a circle touches the sides of the quadrilateral PQRS. The radius of the circle is 9 cm. RSP = SRQ = 60 deg and PQR = QPS = 120 deg. What is the perimeter (in cm) of the quadrilateral?

If 1/(cosecA ­ cotA) = x, then the value of x is

A man travelled a distance of 60 km in 7 hours. He travelled partly on foot @ 6 km/hr and partly on bicycle @ 12 km/hr. What is the distance (in kms) travelled on foot?

A vendor buys some bananas at the rate of 2 for Re 1 and sells at the rate of 10 for Rs 7. What will be the result?

If 9x - [5(2x + 1)/2] = 9/2, then the value of x is?

In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those studnets who passed in both the subjects ?

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?

Solution A contains 10% acid and solution B contains 30% acid. In what ratio should solution A be mixed with Solution B to obtain a mixture with 25% acid?