Quantitative Aptitude - Arithmetic Ability Questions

A 25m long ladder is rested on a wall. The foot of the ladder is 7m away from the wall. If the end of the ladder (resting on the wall) slides down 4m, then how far will its foot move away?

If X + 2Y = 27 and X - 2Y = -1, find the value of Y.

What is the age of the eldest sister if, the sum of ages of 5 sisters born at the intervals of 3 years each is 50 years?

The average age of a batch of 19 members is 24 years. If the age of the faculty be included, then the average increases by 4 months. What is the age of the faculty?

Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.

The line passing through (4,3) and (y,0) is parallel to the line passing through (­-1,-­2) and (3,0). Find y?

Find the total surface area (in cm²) of a right circular cone of diameter 14 cm and slant height 10 cm.

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.