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Direction: Deepti, Ujjwal, Rekha, Arijit, Bandita, Lalit, Ekta and Sachin are employees in a company. Their average age is 42 years. The following information is known about them:
The ratio of present ages of Deepti, Ujjwal and Rekha is 8:10:7
The ratio of present ages of Bandita and Sachin is 5:4
4 years ago, the ratio of ages of Ekta and Sachin was 5:4
1 year from now, the ratio of ages of Ekta and Lalit will be 9:8
1 year from now, the ratio of ages of Arijit and Lalit will be 6:5
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Question 1 of 5
1. Question
Who is the oldest person among them?
Correct
1 year from now, the ratio of ages of Ekta and Lalit will be 9:8 and that of Arijit and Lalit will be 6:5. So, 1 year from now, the ratio of ages of Ekta, Lalit and Arijit will be 45:40:48
So their current ages are 44, 39 and 47 or 89, 79 and 95 respectively. The latter case seems unlikely but we’ll still check for the same.
4 years ago, the ratio of ages of Ekta and Sachin was 5:4.
If Ekta’s present age is 44, Sachin’s present age = 36
If Ekta’s present age is 89, Sachin’s present age = 72
The ratio of present ages of Bandita and Sachin is 5:4.
If Sachin’s present age is 36, Bandita’s present age = 45
If Sachin’s present age is 72, Bandita’s present age = 90
Sum of the ages of 8 persons = 42 x 8 = 336
If we take the second case, the sum of ages of Ekta, Lalit, Arijit, Sachin and Bandita exceeds this number.
Hence, the first case is to be considered.
Sum of ages of Deepti, Ujjwal and Rekha = 336 – (47+45+39+44+36) = 125
The ratio of present ages of Deepti, Ujjwal and Rekha is 8:10:7
Thus, age of Deepti = 8/25 x 125 = 40, Ujjwal = 10/25 x 125 = 50 and Rekha = 7/25 x 125 = 35 years
Incorrect
1 year from now, the ratio of ages of Ekta and Lalit will be 9:8 and that of Arijit and Lalit will be 6:5. So, 1 year from now, the ratio of ages of Ekta, Lalit and Arijit will be 45:40:48
So their current ages are 44, 39 and 47 or 89, 79 and 95 respectively. The latter case seems unlikely but we’ll still check for the same.
4 years ago, the ratio of ages of Ekta and Sachin was 5:4.
If Ekta’s present age is 44, Sachin’s present age = 36
If Ekta’s present age is 89, Sachin’s present age = 72
The ratio of present ages of Bandita and Sachin is 5:4.
If Sachin’s present age is 36, Bandita’s present age = 45
If Sachin’s present age is 72, Bandita’s present age = 90
Sum of the ages of 8 persons = 42 x 8 = 336
If we take the second case, the sum of ages of Ekta, Lalit, Arijit, Sachin and Bandita exceeds this number.
Hence, the first case is to be considered.
Sum of ages of Deepti, Ujjwal and Rekha = 336 – (47+45+39+44+36) = 125
The ratio of present ages of Deepti, Ujjwal and Rekha is 8:10:7
Thus, age of Deepti = 8/25 x 125 = 40, Ujjwal = 10/25 x 125 = 50 and Rekha = 7/25 x 125 = 35 years
Question 2 of 5
2. Question
Deepti, Rekha, Bandita and Ekta are females. What is the difference between the average age of men and women?
Correct
The average age of men = (50+47+39+36)/4 = 43 years
The average age of women = (40+35+45+44)/4 = 41 years
Required difference = 43-41 = 2 years
Incorrect
The average age of men = (50+47+39+36)/4 = 43 years
The average age of women = (40+35+45+44)/4 = 41 years
Required difference = 43-41 = 2 years
Question 3 of 5
3. Question
What is the difference between the ages of Arijit and Rekha?
Correct
Required difference = 47-35 = 12 years
Incorrect
Required difference = 47-35 = 12 years
Question 4 of 5
4. Question
Arrange the following persons in the descending order of their ages: Deepti, Bandita, Sachin, Ekta
Correct
The correct order is Bandita(45), Ekta(44), Deepti(40), Sachin(36)
Incorrect
The correct order is Bandita(45), Ekta(44), Deepti(40), Sachin(36)
Question 5 of 5
5. Question
Which of the following statements is/are true?
I. The difference between the ages of the oldest and the youngest person is 15 years.
II. 1 year from now, the ratio of ages of Rekha and Ekta will be 4:5.
III. Lalit is older than only 2 other persons.
IV. 5 years ago, Arijit was 9 years older than Lalit.
Correct
I:
The difference between the ages of the oldest and the youngest person = 50-35 = 15 years. True.
II:
1 year from now, the ratio of ages of Rekha and Ekta = 36:45 = 4:5. True.
III:
Lalit is older than only Sachin and Rekha. True
IV:
The difference between the ages Arijit and Lalit = 47-39 = 8 years. False
Incorrect
I:
The difference between the ages of the oldest and the youngest person = 50-35 = 15 years. True.
II:
1 year from now, the ratio of ages of Rekha and Ekta = 36:45 = 4:5. True.
III:
Lalit is older than only Sachin and Rekha. True
IV:
The difference between the ages Arijit and Lalit = 47-39 = 8 years. False
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1 year from now, the ratio of ages of Ekta and Lalit will be 9:8 and that of Arijit and Lalit will be 6:5. So, 1 year from now, the ratio of ages of Ekta, Lalit and Arijit will be 45:40:48
So their current ages are 44, 39 and 47 or 89, 79 and 95 respectively. The latter case seems unlikely but we’ll still check for the same.
4 years ago, the ratio of ages of Ekta and Sachin was 5:4.
If Ekta’s present age is 44, Sachin’s present age = 36
If Ekta’s present age is 89, Sachin’s present age = 72
The ratio of present ages of Bandita and Sachin is 5:4.
If Sachin’s present age is 36, Bandita’s present age = 45
If Sachin’s present age is 72, Bandita’s present age = 90
Sum of the ages of 8 persons = 42 x 8 = 336
If we take the second case, the sum of ages of Ekta, Lalit, Arijit, Sachin and Bandita exceeds this number.
Hence, the first case is to be considered.
Sum of ages of Deepti, Ujjwal and Rekha = 336 – (47+45+39+44+36) = 125
The ratio of present ages of Deepti, Ujjwal and Rekha is 8:10:7
Thus, age of Deepti = 8/25 x 125 = 40, Ujjwal = 10/25 x 125 = 50 and Rekha = 7/25 x 125 = 35 years
sir i am not able to solve it and the procedure is also not given ,just answer is given.
please provide the step wise solution.
Sir how that ages are find by using that ratios. I am not able to solve it can u explain it please
1 year from now, the ratio of ages of Ekta and Lalit will be 9:8 and that of Arijit and Lalit will be 6:5. So, 1 year from now, the ratio of ages of Ekta, Lalit and Arijit will be 45:40:48
So their current ages are 44, 39 and 47 or 89, 79 and 95 respectively. The latter case seems unlikely but we’ll still check for the same.
4 years ago, the ratio of ages of Ekta and Sachin was 5:4.
If Ekta’s present age is 44, Sachin’s present age = 36
If Ekta’s present age is 89, Sachin’s present age = 72
The ratio of present ages of Bandita and Sachin is 5:4.
If Sachin’s present age is 36, Bandita’s present age = 45
If Sachin’s present age is 72, Bandita’s present age = 90
Sum of the ages of 8 persons = 42 x 8 = 336
If we take the second case, the sum of ages of Ekta, Lalit, Arijit, Sachin and Bandita exceeds this number.
Hence, the first case is to be considered.
Sum of ages of Deepti, Ujjwal and Rekha = 336 – (47+45+39+44+36) = 125
The ratio of present ages of Deepti, Ujjwal and Rekha is 8:10:7
Thus, age of Deepti = 8/25 x 125 = 40, Ujjwal = 10/25 x 125 = 50 and Rekha = 7/25 x 125 = 35 years