Instructions

For the following questions answer them individually

Question 41

A, B, and C have a few chocolates among themselves. A gives to each of the other two half the number chocolatesthey already have. Similarly, B and C (in that order) gives each of the other two half the number of chocolates each of them already has. Now,ifeach of them has the same number of chocolates, what could be the minimum number of chocolates they have among themselves?

Question 42

ABC is an equilateral triangle while PQRS is a rectangle, then what is the area of PQRS if each side of the $$\triangle$$ABC = 10. The side of the rectangle passes through the center O of the circle?

Question 43

Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. How many timesthey will toll together in one hour?

Question 44

Eight members of different ages from the same family sit around a circular table for dinner. InĀ how many ways can they be arranged such that on either side of younger members there areĀ elder members seated?

Question 46

Sum of two numbers is 17, whereas sum of their squares is 145. What is the product of the two numbers?

Question 48

If $$\left(1 + \frac{x}{144}\right)^{\frac{1}{2}} = 1 + \frac{1}{2}$$, what is the value of x?

Question 49

The difference between two positive numbers is 3. If the sum of their squares in 369, then the 3 sum of the numbers is