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Question 1 of 30
1. Question
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are
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Question 2 of 30
2. Question
If 5 is a root of the quadratic equation \(2x^{2} + px – 15\) = 0, then
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Question 3 of 30
3. Question
The two consecutive odd positive integers, sum of whose squares is 290 are
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Question 4 of 30
4. Question
The value of b2 – 4ac for equation \(3x^{2} – 7x – 2\) = 0 is
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Question 5 of 30
5. Question
Value(s) of k for which the quadratic equation 2×2 kx + k = 0 has equal roots is
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Question 6 of 30
6. Question
Find the two consecutive odd positive integers, sum of whose square is 290
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Question 7 of 30
7. Question
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
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Question 8 of 30
8. Question
Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?
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Question 9 of 30
9. Question
The equation (x – 2)2 + 1 = 2x – 3 is a
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Question 10 of 30
10. Question
Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :
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Question 11 of 30
11. Question
The quadratic equation has degree
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Question 12 of 30
12. Question
The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is
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Question 13 of 30
13. Question
If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is
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Question 14 of 30
14. Question
The equation x2 – px + q = 0 p, q e R has no real roots if :
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Question 15 of 30
15. Question
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then
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Question 16 of 30
16. Question
If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then
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Question 17 of 30
17. Question
If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are
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Question 18 of 30
18. Question
The sum of the roots of the quadratic equation 3×2 – 9x + 5 = 0 is
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Question 19 of 30
19. Question
The cubic equation has degree
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Question 20 of 30
20. Question
The equation 2×2 + kx + 3 = 0 has two equal roots, then the value of k is
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Question 21 of 30
21. Question
The quadratic equation whose one rational root is 3 + v2 is
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Question 22 of 30
22. Question
A biquadratic equation has degree
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Question 23 of 30
23. Question
If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is
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Question 24 of 30
24. Question
The quadratic equation 2×2 – 3x + 5 = 0 has?
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Question 25 of 30
25. Question
25. Which of the following is not a quadratic equation
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Question 26 of 30
26. Question
26. The quadratic equation has degree
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Question 27 of 30
27. Question
27. The cubic equation has degree
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Question 28 of 30
28. Question
28. A biquadratic equation has degree
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Question 29 of 30
29. Question
29. The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is
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Question 30 of 30
30. Question
30. The equation \((x – 2)^{2} + 1\) = 2x – 3 is a
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