Rakesh is 6 ranks ahead of Tanvir in a class of 42 students. If Tanvir’s rank is eighteenth from the last, then what is Rakesh’s rank from the start?

A trader had 2000 kgs of rice. He sold a part of it at 10 % profit and the rest at 16 % profit so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10 % profit? 

If average of two x and $$1\over x$$ (where x ≠ 0) is A, what will be the average of x³ and $$1\over {x^3}$$?

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is: 

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + C ( C > - 7 ) is a constant, then the minimum value of the fraction is :

The principal which gives ₹ 1 interest per day at a rate of 5 % simple interest per annum is 

A sum of ₹ 7, 930 is divided into 3 parts and given at loan at 5 % simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then the A received a loan of 

Ram deposited a certain sum of money in a company at 12 % per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15 % per annum simple interest. If the difference in the interest from two sources is ₹ 1350 than the sum deposited in each case is