The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?

 $$6 {4\over 9}$$ % ..???kkk

The price of 80 apples is equal to that of 120 oranges. The price of 60 apples and 75 oranges together is Rs. 1320. The Total price of 25 apples and 40 oranges is:

A number increased by   $$22{1 \over 2}\%$$ gives 98 as result. The number 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 + 13x = - 42
II. y² + 16y + 63 = 0 

Fill in the blanks:
Sin A = ____ × (Cos A) 

In the adjoining figure ∠AOC=140° where O is the centre of the circle then ∠ ABC is equal to:

A boy added all natural numbers from 1 to 10, however, he added one number twice due to which the sum becomes 58. What is the number which he added twice?