CBSE Class 10 Quadratic Equations Sure Shot Questions Set E. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations. Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.
NUMBER BASED QUESTIONS
1.The difference of two numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers.
2.Find two consecutive odd positive integers, sum of whose squares is 290.
3.The difference of the squares of two numbers is 45. The squares of the smaller number are 4 times the larger number. Find the numbers.
4.The sum of the squares of the two positive integers is 208. If the square of the larger number is 18 times the smaller number, find the numbers.
5.The denominator of a fraction is 3 more than its numerator. The sum of the fraction and itsreciprocal is 2( 9/10). Find the fraction.
6.The denominator of a fraction is one more than twice the numerator. The sum of the fraction andits reciprocal is 2 (16 /21). Find the fraction.
7.Two numbers differ by 3 and their product is 504. Find the numbers.
8.Find three consecutive positive integers such that the sum of the square of the first and the product of the other two is 154.
9.The sum of two numbers is 16 and the sum of their reciprocals is 1/3. Find the numbers.
10.The sum of two numbers is 18 and the sum of their reciprocals is 1/4. Find the numbers.
11.The sum of two numbers is 25 and the sum of their reciprocals is 3/10. Find the numbers.
12.The sum of two numbers is 15 and the sum of their reciprocals is 3/10. Find the numbers.
13.The sum of a number and its reciprocal is 3 (41/80). Find the numbers.
14.The sum of the squares of three consecutive positive integers is 50. Find the integers.
15 Find two natural numbers, the sum of whose squares is 25 times their sum and also equal to 50 times their difference.
TWO-DIGIT PROBLEMS
1.A two digit number is such that the product of its digits is 12. When 36 is added to the number, the digits are reversed. Find the number.
2.A two digit number is such that the product of its digits is 8. When 54 is subtracted from the number, the digits are reversed. Find the number.
3.A two digit number is four times the sum and twice the product of its digits. Find the number
4.A two digit number is such that the product of its digits is 14. When 45 is added to the number, the digits interchange their places. Find the number.
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