Algebraic Equations Practice Questions: Level 02

1. If 4P2 - 5P -6 = 0, where P is a natural number, find the value of P.
A. 2
B. 3
C. 4
D. 1
2. If P2 - 11P -42 = 0, where P is a natural number, find the value of P.
A. 12
B. 13
C. 14
D. 3
Q.3. If a positive number is decreased by 10, then it is 75 times of its reciprocal. Find the number.
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A. 30
B. 15
C. 20
D. 25
Q.4. If a and b are roots of P2 - 4P - 21 = 0, where a > b, find the equation whose roots are a/b and b/a.
A. 21P2 + 58P + 21 = 0
B. 25P2 + 58P + 21 = 0
C. 21P2 + 40P + 21 = 0
D. 21P2 + 56P + 25 = 0
Q.5. Find the value of ‘a’ in a2 – 2a -15 = 0, if a is a natural number.
A. 7
B. 6
C. 9
D. 14
Q.6. If one root of the equation P2 - 5P – 36 = 0 is same as P2 - 25P + Q = 0, then find the value of Q.
A. 16 or 9
B. 144 or -116
C. -144 or 116
D. -16 or -9
Q.7. Find the value of K such that Pnd - (3 + k)P + 3K + 4 = 0 has equal roots.
A. 7
B. -1
C. Either 1 or 2
D. None of these
Q8. Find the larger of the two positive numbers, such that sum of the numbers is 18 and difference of their squares is 9 times the larger number.
A. 20
B. 16
C. 12
D. None of these
Q9. The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit’s age by 4 years, what is Nikita’s age?
A. 20
B. 16
C. 12
D. None of these
Q10. A rectangular garden has an area of 735m2. If length is decreased by 7m and breadth is increased by 7m, then it became a square. Find the area of the square (in m2).
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A. 625
B. 784
C. 484
D. 676