Quantitative Aptitude - Arithmetic Ability Questions

The average marks of 40 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 73 instead of 37. What is the value of correct average?

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

(1132 + 1152 + 1172 - 113 x 115 - 115 x 117 - 117 x 113) is equal to

If y=2-x1+x, then what is the value of 1y+1 + 2y+1y2-1 ?

In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

The bus fare between two cities is increased in the ratio 29:31. What is the increase in the fare, if the original fare is Rs 725

Rs. 3105 is due to be divided among K, L and M in the proportion of 2/3 : 3/4 : 1/2 respectively. How much will L get?