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In a three-digit number, when the tens a...

In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added three times the original number. If 198 is added to the number, the digits are reversed. The tests difit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the originall number.

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FULL MARKS-ALGEBRA-Unit Exercise
  1. Solve (1)/(3)(x+y-5)=y-z=2x-11=9-(x+2z).

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  2. One hundred and fifty students are admitted to a school. They are dist...

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  3. In a three-digit number, when the tens and the hundreds digit are inte...

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  4. Find the least number common multiple of xy(k^(2)+1)+k(x^(2)+y^(2)) an...

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  5. Find the GCD of following by division algorithm 2x^(4)+13x^(3)+27x^(2)...

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  6. Reduce the given Rational expression to its lowest form (10x^(3)-25x...

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  7. Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))times[1+(q^(2)+r^(2)-p...

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  8. Arul, Ravi, and Ram working together can clean a store in 6 hours. Wor...

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  9. Find the square root of 289x^(4)-612x^(3)+970x^(2)-684x+361.

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  10. Solve sqrt(y+1)+sqrt(2y-5)=3.

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  11. A boat takes 1.6 hours longer to go 36kms up a river than down the riv...

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  12. Is it possible to design a rectangular park of perimeter 320m and area...

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  13. At t minutes past 2 pm, the time needed by the minutes hand of a clock...

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  14. The number of seats in a row is equal to the total number of rows in a...

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  15. If alpha and beta are zeroes of the polynomial f(x)=x^2-2x+3. Find a p...

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  16. If -4 is a root of the equation x^(2)+px-4=0 and the equation x^(2)+px...

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  17. Two farmers and Ravi cultivates three varieties of grains namely rice...

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  18. If cos theta{:((cos theta, sin theta),(-sin theta, cos theta)):}+ sin ...

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  19. Given A=[(p, 0), (0, 2)], B=[(0, q), (1, 0)], C=[(2, -2), (2, 2)] and ...

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  20. A=[(3, 0), (4, 5)], B=[(6, 3), (8, 5)], C=[(3, 6), (1, 1)] find the ma...

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