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?

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

If 9x+2 = 240 + 9x, the value of (8x)x is

A contractor has got two orders A and B. On one (A) he spends Rs. 25,000 and makes a bill of Rs. 30,500. On the other (B) he makes a bill keeping a profit of 20%. Which of the two orders is more profitable to him?

The average age of 40 students of a class is 16 years. If the average age of 24 students is 15.5 years and that of the 15 students is 16 2⁄3 years, then the age of 40th student is

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cub.cm more. Assuming Π = 22/7, the height of the cylinder is

a and b are irrational numbers such that a+b = q is a rational number; then a­b is

In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A