MEDIUM
10th ICSE
IMPORTANT
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The sum of the squares of two consecutive odd positive integers is 290. Find them.

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Important Questions on Quadratic Equations in One Variable

MEDIUM
10th ICSE
IMPORTANT
Divide 25 into two parts, such that twice the square of the larger part exceeds thrice the square of the smaller part by  29.
HARD
10th ICSE
IMPORTANT
The sum of two numbers is 18. If the sum of their reciprocals is 14, if the numbers are k, 2k then find the value of k.
HARD
10th ICSE
IMPORTANT
A two-digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
HARD
10th ICSE
IMPORTANT
A two-digit number contains the smaller of two digits in the unit's place. The product of the digits is 24 and the difference between the digits is 5. Find the number.
HARD
10th ICSE
IMPORTANT
In a certain positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by 114 Find the fraction.
MEDIUM
10th ICSE
IMPORTANT
The product of Shikha's age five years ago and her age 8 years later is 30, find her present age.
HARD
10th ICSE
IMPORTANT
The sum of the reciprocals of Rehman's ages (in years)  3 years ago and 5 year from now is  13. Find his present age.
HARD
10th ICSE
IMPORTANT
A take 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.