Quantitative Aptitude - Arithmetic Ability Questions

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

The sum of a number and 4 times its reciprocal is 5. What is the number?

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?