41.
In a three-digit number, the digit in the unit's place is 75% of the digit in the ten's place. The digit in the ten's place is greater than the digit in the hundred's place by 1. If the sum of the digits in the ten's place and the hundred's place is 15. What is the number ?

42.
The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

43.
The difference between $$\frac{3}{5}$$th of $$\frac{2}{3}$$rd of a number and $$\frac{2}{5}$$th of $$\frac{1}{4}$$th of the same number is 288. What is the number ?

44.
The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be :

45.
The difference between two numbers is 16. If one-third of the smaller number is greater than one-seventh of the larger number by 4, then the two numbers are :

46.
If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by :

47.
The product of two fractions is $$\frac{14}{15}$$ and their quotient is $$\frac{35}{24}$$. The greater fraction is :

48.
A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbours. Now he is left out with 36 eggs. How many eggs he bought ?

49.
A number is double and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?

50.
The sum of a positive number and its reciprocal is thrice the difference of the number and its reciprocal. The number is :

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