Word Problems on Quadratic Equations for Class 10

Word Problems on Quadratic Equations for Class 10

Here we are providing Word Problems on Quadratic Equations for Class 10 Maths. These questions are prepared by subject experts. Students can use these questions for better practice and to obtain marks in the exam.

Q.1. The product of two consecutive positive integers is 306. Find the integers.

Ans. 17 and 18

Q.2. A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.

Ans. 600

Q.3. The sum of a natural number and its square is 156. Find the number.

Ans. 12

Q.4. In a class test, the sum of the marks obtained by P in mathematics and science is 28. Had he got 3 more marks in mathematics and 4 marks less in science, the product of marks obtained in the two subjects would have been 180. Find the marks obtained by him in the two subjects separately. [CBSE 2008]

Ans. Either he got 12 marks in maths and 16 in science or he got 9 marks in maths and 19 in science

Q.5. The sum of a natural number and its positive square root is 132. Find the number.

Ans. 121

Q.6. The sum of two natural numbers is 28 and their product is 192. Find the numbers.

Ans. 16 and 12

Q.7. The sum of the squares of two consecutive positive integers is 365. Find the integers.

Ans. 13 and 14

Q.8. 300 apples are distributed equally among a certain number of students. Had there been 10 more students, each would have received one apple less. Find the number of students.

Ans. 50

Q.9. The sum of the squares of two consecutive positive odd numbers is 514. Find the numbers.

Ans. 15 and 17

Q.10. The sum of the squares of two consecutive positive even numbers is Find the numbers.

Ans. 14 and 16

Q.11. Two natural numbers differ by 3 and their product is 504. Find the numbers.

Ans. 24 and 21

Q.12. A person on tour has ₹10800 for his expenses. If he extends his tour by 4 days, he has to cut down his daily expenses by ₹90. Find the original duration of the tour.

Ans. 20 days

Q.13. Find two consecutive multiples of 3 whose product is 648.

Ans. 24 and 27

Q.14. If the price of a book is reduced by ₹5, a person can buy 4 more books for ₹600. Find the original price of the book.

Ans. ₹30

Q.15. Find two consecutive positive odd integers whose product is 483.

Ans. 21 and 23

Q.16. A dealer sells an article for ₹75 and gains as much per cent as the cost price of the article. Find the cost price of the article.

Ans. ₹50

Q.17. Find two consecutive positive even integers whose product is 288.

Ans. 16 and 18

Q.18. In a class test, the sum of Kamal’s marks in mathematics and English is 40. Had he got 3 marks more in mathematics and 4 marks less in English, the product of the marks would have been 360. Find his marks in two subjects separately.

Ans. (21 and 19) or (12 and 28)

Q.19. Some students planned a picnic. The total budget for food was 2000. But, 5 students failed to attend the picnic and thus the cost for food for each member increased by ₹20. How many students attended the picnic and how much did each student pay for the food? [CBSE 2010]

Ans. 20, ₹100

Q.20. A man buys a number of pens for ₹180. If he had bought 3 more pens for the same amount, each pen would have cost him ₹3 less. How many pens did he buy?

Ans. 12 pens

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