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Find two consecutive odd positive int...

Find two consecutive odd positive integers, sum of whose squares is 970.

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Find two consecutive odd positive integers, sum of whose squares is 290.

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i) Find the two consecutive positive even integers, the sum of whose square is 340. ii) Prove that there is a unique pair of consecutive odd positive integers such that sum of their squares is 290 find them. iii) Find all the numbers which exceeds their square root by 12. iv) Find the quadratic equation for which sum of the roots is 1 and sum of the squares of the roots is 13.

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. A two digit number is 4 times the sum of its digits and twice the p...

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

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

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

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

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

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

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

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

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

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

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

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  13. A passenger train takes one hour less for a journey of 150 km if it...

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  14. The time taken by a person to cover 150 km was 2.5 hrs more than th...

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  15. An aeroplane takes 1 hour less for a journey of 1200 km if its spee...

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  16. A passenger train takes 2 hours less for a journey of 300 km if its...

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  17. A train covers a distance of 90 km at a uniform speed. Had the spee...

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  18. A train travels 360 km at a uniform speed. If the speed had been 5k...

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  19. An express train takes 1 hour less than a passenger train to travel...

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  20. The sum of the ages of father and his son is 45 years . 5 years ago th...

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