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Find two natural numbers which differ...

Find two natural numbers which differ by 3 and whose squares have the sum 117.

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. The sum of the squares of two numbers is 233 and one of the numbers...

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  2. Find the consecutive even integers whose squares have the sum 340.

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  3. Find two natural numbers which differ by 3 and whose squares have t...

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  4. Determine two consecutive multiples of 3 whose product is 270.

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  5. The sum of a number and its reciprocal is 17//4 . Find the number.

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  6. A two-digit number is such that the product of its digits is 8. Whe...

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  7. A two-digit number is such that the product of the digits is 12. Wh...

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  8. A two-digit number is such that the product of its digits is 16. Wh...

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  9. A two digit number is 4 times the sum of its digits and twice the p...

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  10. The difference of squares of two numbers is 180. The square of the ...

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  11. Find two consecutive odd positive integers, sum of whose squares is...

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  12. The difference of two natural numbers is 3 and the difference of th...

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  13. The sum of the squares of two consecutive odd numbers is 394. Find ...

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  14. The sum of the squares of two consecutive even numbers is 340. Find...

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  15. A train travels a distance of 300 km at constant speed. If the spee...

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  16. The speed of a boat in still water is 15 km/hr. It can go 30 km ups...

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  17. A fast train takes 3 hours less than a slow train for a journey of 600...

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  18. A plane left 30 minutes late than its scheduled time and in order to r...

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  19. In a flight of 600 km, an aircraft was slowed down due to bad weath...

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  20. Two trains leave a railway station at the same time. The first train t...

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