Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - Data Sufficiency 2 (Q.No. 1)
Directions to Solve
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
1.
What is Arun's present age? | |
I. | Five years ago, Arun's age was double that of his son's age at that time. |
II. | Present ages of Arun and his son are in the ratio of 11 : 6 respectively. |
III. | Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7. |
Answer: Option
Explanation:
II. Let the present ages of Arun and his son be 11x and 6x years respectively.
I. 5 years ago, Arun's age = 2 x His son's age.
| III. 5 years hence, | Arun's Age | = | 12 |
| Son's age | 7 |
Clearly, any two of the above will give Arun's present age.
Correct answer is (D).
Discussion:
28 comments Page 2 of 3.
Amal said:
1 decade ago
All the statements are true. But there is a logic. What dose "only "means? I think the answer is "E".
Datta said:
1 decade ago
11:6, so 11x:6x.
5 years ago 11(x-5) = 6(x-5).
11(x-5) = 2(6(x-5)).
Hence x = 5.
5 years ago 11(x-5) = 6(x-5).
11(x-5) = 2(6(x-5)).
Hence x = 5.
Gopi krishna Arava said:
1 decade ago
X value is ok. But how can it satisfied both I and II rule?
Kuzne4ik said:
1 decade ago
1. x = 11/6*y.
11/6*y = 12/7*y+5.
y = 42(son).
x = 77(father).
2. x = 2*y-5.
x = 11/6*y.
2*y-5=11/6*y.
y = 30 (son).
x = 55(father).
3. x = 2*y-5.
x = 12/7*y+5.
2*y-5 = 12/7*y+5.
y = 35(son).
x = 65(father).
Because of different results, only 2 from 3 can be satisfied.
11/6*y = 12/7*y+5.
y = 42(son).
x = 77(father).
2. x = 2*y-5.
x = 11/6*y.
2*y-5=11/6*y.
y = 30 (son).
x = 55(father).
3. x = 2*y-5.
x = 12/7*y+5.
2*y-5 = 12/7*y+5.
y = 35(son).
x = 65(father).
Because of different results, only 2 from 3 can be satisfied.
Raghavendra said:
10 years ago
There are two unknowns and requires no more than 2 equations to determine all unknowns! No need to calculate anything!
Nish said:
10 years ago
Condition 1 and 2, 1 and 3 are enough. But 2 and 3 are note sufficient. Hence answer cannot be any two of above.
Chetan said:
10 years ago
For son's present age = 30 and father's present age = 55 all the conditions satisfy.
Chetan said:
10 years ago
For son's present age = 30 and father's present age = 55 all the conditions satisfy.
Asiri said:
10 years ago
Answer should be E.
You can get an answer by joining 1, 2 & 2, 3 but not by 1, 3. Therefore D (Any two of the three) is wrong.
You can get an answer by joining 1, 2 & 2, 3 but not by 1, 3. Therefore D (Any two of the three) is wrong.
Latha BV said:
9 years ago
The present age of Arun = 11x.
The present age of Arun's son = 6x.
I) 5 years ago Arun's age was double of his son's age that means (11x - 5) = 2 (6x - 5).
11x - 5 = 12x - 10.
12x - 10 - 11x + 5 = 0.
x = 5.
2) Statement 2 is already used in statement 1 to get the value of x.
3) Five years hence the respective ratio of Arun's age and his son's age will become 12 : 7 that means.
11x + 5/6x + 5 = 12/7.
7 (11x + 5) = 12 (6x + 5).
77x + 35 = 72x + 60.
x = 5.
Arun's present age = 11x.
= 11 * 5.
= 55.
So from the statement 1 and 2, we get the value of x is 5.
And from the statement 2 and 3 we get the value of x is also 5.
At last, we get the present age of Arun is 55, and here the most used statement was 2 hence we use only 1 and 2 are else 2 and 3 but not by 1 and 3, therefore, the answer should be E but not D.
The present age of Arun's son = 6x.
I) 5 years ago Arun's age was double of his son's age that means (11x - 5) = 2 (6x - 5).
11x - 5 = 12x - 10.
12x - 10 - 11x + 5 = 0.
x = 5.
2) Statement 2 is already used in statement 1 to get the value of x.
3) Five years hence the respective ratio of Arun's age and his son's age will become 12 : 7 that means.
11x + 5/6x + 5 = 12/7.
7 (11x + 5) = 12 (6x + 5).
77x + 35 = 72x + 60.
x = 5.
Arun's present age = 11x.
= 11 * 5.
= 55.
So from the statement 1 and 2, we get the value of x is 5.
And from the statement 2 and 3 we get the value of x is also 5.
At last, we get the present age of Arun is 55, and here the most used statement was 2 hence we use only 1 and 2 are else 2 and 3 but not by 1 and 3, therefore, the answer should be E but not D.
(1)
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