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Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers

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1. find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.

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2. Which among following is not a prime number ?

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3. if the sum of \begin{aligned} \frac{1}{2} \end{aligned} and \begin{aligned} \frac{1}{5} \end{aligned} of a number exceeds \begin{aligned} \frac{1}{3} \end{aligned} of the number by \begin{aligned} 7\frac {1}{3} \end{aligned}, then number is

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4. Product of two natural numbers is 17. Then, the sum of reciprocals of their squares is

  • \begin{aligned} \frac{290}{289} \end{aligned}
  • \begin{aligned} \frac{1}{289} \end{aligned}
  • \begin{aligned} \frac{290}{90} \end{aligned}
  • \begin{aligned} \frac{290}{19} \end{aligned}

5. A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is

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