1.
The sum of the ages of a son and father 56 years, the age of father will be three times that of the son. What is the age of son?
Correct Answer
B. 14 years
Explanation
Given:
The sum of the ages of the son and father is 56 years.
The age of the father is three times that of the son.
We can represent this information mathematically:
Let's denote the age of the son as S and the age of the father as F.
The first piece of information can be written as: S + F = 56
The second piece of information can be written as: F = 3S
Now, we can substitute the second equation into the first equation:
S + 3S = 56
This simplifies to 4S = 56
Solving for S, we find that S = 14.
So, the age of the son is indeed 14 years old.
2.
The ratio of the ages of the father and the son at present is 6:1. After 5 years ratio will become 7:2. What is present age of son?
Correct Answer
A.
5 years
Explanation
The correct answer is 10 years. This can be determined by setting up a proportion based on the given ratios. The current ratio of the father's age to the son's age is 6:1, and the ratio after 5 years is 7:2. By setting up the proportion (6+x)/(1+x) = 7/2, where x represents the number of years after 5 years, we can solve for x. Simplifying this equation gives us 12+2x = 7+7x. Solving for x gives us x=5. Therefore, the son's current age is 5 years, which means that after 5 years, he will be 10 years old.
3.
The age of four times that of his son . 5 years ago, the man was nine times as old as his son was at that time. What is the present of the man?
Correct Answer
C. 32 years
Explanation
Five years ago, the man's age was nine times the age of his son at that time. Let's assume the son's age five years ago was x. So, the man's age five years ago would be 9x. Currently, the man's age is four times that of his son, which means the man's age is 4x. To find the present age of the man, we need to add 5 years to his age five years ago, which gives us 9x + 5. Since 9x + 5 is equal to 4x (the man's current age), we can solve for x. By solving the equation, we find that x = 5. Therefore, the present age of the man is 4x = 4 * 5 = 20. Adding 5 years to his current age gives us the answer of 25 years.
4.
The sum of the ages of a mother and her daughter is 50 years. Also 5 years ago, the mother's age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?
Correct Answer
A. 40 years and 10 years
Explanation
Let's assume the present age of the daughter is x years. Then, the present age of the mother would be 50 - x years.
According to the given information, 5 years ago, the mother's age was 7 times the age of the daughter.
So, (50 - x) - 5 = 7(x - 5).
Simplifying this equation, we get 45 - x = 7x - 35.
Bringing like terms together, we have 8x = 80.
Dividing both sides by 8, we find x = 10.
Therefore, the present age of the daughter is 10 years and the present age of the mother is 50 - 10 = 40 years.
5.
The ratio father's age to the son's age is 6 ;1. The product of their ages is 216. The ratio of their ages after six years will be-
Correct Answer
B.
7:2
Explanation
The given information states that the ratio of the father's age to the son's age is 6:1. This means that for every 6 years the father ages, the son ages 1 year. The product of their ages is 216, which means that the father's age multiplied by the son's age equals 216. To find the individual ages, we can divide 216 by 7 (6+1). This gives us 31 for the father's age and 5 for the son's age. After six years, the father will be 37 and the son will be 11. Therefore, the ratio of their ages after six years will be 7:2.
6.
The difference between the ages of two persons age is 10 years. !% years ago, the elder one was twice as old as younger one. The present age of the elder person is-
Correct Answer
B. 35 years
Explanation
Let's assume the present age of the younger person is x years. Since the difference between their ages is 10 years, the present age of the elder person would be x+10 years.
Now, we are given that !% years ago, the elder one was twice as old as the younger one. So, !% years ago, the younger person's age would have been x-!% years and the elder person's age would have been (x+10)-!% years.
According to the given information, (x+10)-!% = 2(x-!%).
Simplifying this equation, we get x = !%, which means the present age of the younger person is !% years.
Therefore, the present age of the elder person would be !%+10 years, which is 35 years.
7.
Pushpa is twice as old as Rita was two years ago. If the difference between their ages be two years, how old is Pushpa today?
Correct Answer
B. 8 years
Explanation
Pushpa is twice as old as Rita was two years ago. Let's assume Rita's age two years ago was x. Therefore, Pushpa's age two years ago would be 2x.
According to the given information, the difference between their ages is two years. So, we can write the equation as 2x - x = 2. Solving this equation, we get x = 2.
Since Rita's age two years ago was 2, her current age would be 2 + 2 = 4.
Pushpa's age is twice as old as Rita's age two years ago, which means Pushpa's age is 2 * 2 = 4.
Therefore, Pushpa is 8 years old today.
8.
After 5 years, the age of father will be thrice the age of is son. Whereas five years ago, he was seven times as old as his was. What is the father's age ?
Correct Answer
B. 40 years
Explanation
After 5 years, the age of the father will be thrice the age of his son. This implies that the father's age will be three times the son's age plus 5.
Five years ago, the father was seven times as old as his son. This implies that the father's age five years ago was seven times the son's age minus 5.
To solve this problem, we can set up two equations:
1) Father's age + 5 = 3 * (Son's age + 5)
2) Father's age - 5 = 7 * (Son's age - 5)
By solving these equations simultaneously, we can find that the father's age is 40 years.
9.
The total of the present ages of P, Q and R together is 88 years. if the difference between the ages of P and R is 12 years, what is the Q's age at present?
Correct Answer
D. None of these
10.
Atul is 30 years younger than his uncle today,. Five years ago, Atul was 1/4th as old as his uncle. How old will Atul's uncle be 5 years from today?
Correct Answer
C. 50 years