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The MCQs below are drawn from the Mathematics subject category.
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7141
In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is:
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Correct Option
Explanation
A + 10 = 2(B - 10). Also, A = B + 9. Substitute A: B + 9 + 10 = 2B - 20 => B + 19 = 2B - 20 => B = 39.
7142
A is 3 years older than B and 3 years younger than C. If the sum of their ages is 60, find the age of B.
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Correct Option
Explanation
A = B + 3 => B = A - 3. A = C - 3 => C = A + 3. Sum = A + B + C = A + (A - 3) + (A + 3) = 3A. 3A = 60 => A = 20. B = 20 - 3 = 17.
7143
The present age of a father is twice that of his son. If the sum of their present ages is 60 years, find the son's age.
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Correct Option
Explanation
F = 2S. F + S = 60 => 3S = 60 => S = 20 years.
7144
The average age of a man and his son is 30 years. The ratio of their ages is 5 : 1 respectively. What is the son's age?
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Correct Option
Explanation
Sum of their ages = 30 * 2 = 60. Ratio is 5x and x. 6x = 60 => x = 10. Son's age is 10 years.
7145
If the total ages of Iqbal and Shikha is 12 years more than the total ages of Shikha and Charu. Charu is how many years younger than Iqbal?
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Correct Option
Explanation
(I + S) = (S + C) + 12 => I = C + 12. Therefore, Charu is 12 years younger than Iqbal.
7146
The age of a man is 4 times that of his son. 5 years ago, the man was 9 times as old as his son was at that time. What is the present age of the man?
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Correct Option
Explanation
M = 4S. 5 years ago: M - 5 = 9(S - 5) => 4S - 5 = 9S - 45 => 5S = 40 => S = 8. M = 4 * 8 = 32 years.
7147
Three years ago, the ratio of the ages of A and B was 4 : 5. Three years hence, the ratio of their ages will be 5 : 6. What is A's present age?
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Correct Option
Explanation
Let ages 3 years ago be 4x and 5x. Present ages: 4x+3, 5x+3. In 3 years: (4x+6) / (5x+6) = 5 / 6 => 24x + 36 = 25x + 30 => x = 6. A's present age = 4x + 3 = 24 + 3 = 27.
7148
A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father is:
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Explanation
F = 2S. 20 years ago: F - 20 = 12(S - 20) => 2S - 20 = 12S - 240 => 10S = 220 => S = 22. F = 2(22) = 44 years.
7149
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?
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Correct Option
Explanation
Ages 6x, 7x. Difference = x = 4. P = 24, Q = 28. After 4 years, P = 28, Q = 32. Ratio = 28 : 32 = 7 : 8.
7150
Rohan is as much younger than Anil as he is older than Prashant. If the sum of the ages of Anil and Prashant is 48 years, what is Rohan's age?
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Explanation
Anil - Rohan = Rohan - Prashant => Anil + Prashant = 2 * Rohan. 48 = 2 * Rohan => Rohan = 24 years.
