Mahadev covered some distance at some speed. If he traveled a distance of 3 km / h more, it took him 40 minutes less time. If he had covered the distance at a speed of 2 km / h less, he would have taken 40 minutes more. The distance (in km) is

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

 I. x²- 1 = 0
II. y²+ 4y + 3 = 0. 

A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be 

Surekha borrowed a sum of money and returned it in two equal annual instalments of ₹5,547 each. If the rate of interest was $$7{1\over 2}\%$$ p.a. compounded yearly, then the total interest paid by her was:

Among three numbers, the first is twice the second and thrice the third. If the average of the three numbers is 49.5, then the difference between the first and the third number is: 

If $$ {x^2-12x+33=0}$$, then what is the value of $${(x-4)^2+[{1\over({x-4})^2}}]$$.

The ratio of the heights of Ram and Rahim is 7 : 8. If Rahim's height is 66 inches, then the height of Ram is?