Quantitative Aptitude - Arithmetic Ability Questions

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

What is the value of sin (90° + 2A)[4 – cos2(90° – 2A)]?

∆ABC is right angled at B. If m∠A = 30°, then find the value of (sinC + 1/3).

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

When a discount of Rs. 42 is allowed on the marked price of an article, the new reduced price becomes 86% of the original price. Find the marked price.

Calculate the angle subtended by the chord at the point on the major arc if the radius and the chord of the circle are equal in length.

If the sum of ten different positive integers is 100, then what is the greatest possible number among these 10 numbers?