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
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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.
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
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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).
A. 625
B. 784
C. 484
D. 676
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