CBSE 10th Quadratic Equation Repeated Question 2025: Check 10 Important PYQ

CBSE 10th Quadratic Equation Repeated Question 2025: Candidates who are appearing for the CBSE Class 10th Mathematics Exam 2025 must know that Quadratic Equation is one of the most important chapters in the board examination. Due to the level of importance it holds, students must practice this chapter to score well in the Clss 10 board examination. Therefore, the detailed CBSE 10th Quadratic Equation Repeated Question 2025 has been provided here. Candidates can check all the questions that were usually repeated in the board examination. It is highly expected that most of these questions may appear in this year's examination.

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CBSE 10th Quadratic Equation Repeated Question 2025

Students can check the CBSE 10th Quadratic Equation Repeated Question 2025 below:

Question 1: Let p be a prime number. The quadratic equation has its roots as factors of p are: 

(a)x^2-px+p=0
(b)x^2-(p+1)x+p=0
(c)x^2+(p+1)x+p=0
(d)x^2-px+p+1=0

Question 2: Which of the following is not a quadratic equation? 

(a)2(x-1)^2=4x^2-2x+1
(b)2x-x^2=x^2+5
(c)(√2x+√3)^2+x^2=3x^2-5x
(d)(x^2+2x)^2=x^2+3+4x^3

Question 3: The quadratic equation 2x^2-√5x+1=0 has:

(a)two distinct real roots
(b)two equal real roots
(c)no real root
(d)more than 2 real roots

Question 4: Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: 

(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.

(A) One solution of the quadratic equation (x - 1)²-5(x-1)-6=0 is 0.
(R) Other solution of the equation (x- 1)2-5(x-1) -6 = 0 is 7.

Question 5: Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: 

(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.

(A) Every quadratic equation has exactly one root.
(R) Every quadratic equation always has degree two.

Question 6: Read the following and answer the questions: The speed of a motor boat is 20 km/h; for covering the distance of 15 km, the motor boat took 1 hour more upstream than downstream.

Question 7: A train covers a distance of 360 km at a uniform speed. Had the speed been 5 km/h more, it would have taken 48 minutes less for the journey to find the original speed of the train.

Question 8: Two water taps together can fill a tank in 17 hours. The tap with a longer diameter takes 2 hours less than the tap with a smaller one to fill the tank separately. Find the time in which each tap can fill the tank separately.

Question 9: A 2-digit number is such that the product of its digits is 24. If 18 is subtracted from the number, the digits interchange their places. Find the number. 

Question 10: Find the value of 'p' for which the quadratic equation p(x - 4)(x - 2) + (x - 1) * 2 = 0 has real and equal roots.

Candidates must note down and practice all the CBSE 10th Quadratic Equation Repeated Question 2025 given above before the actual exam. The CBSE Class Maths Exam 2025 will be held on March 10, 2025.