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Question 1 of 5
1. Question
Ten years ago, Arundathi was thrice the age of her daughter. After Ten years from now, she will be 5 years more than twice the age of her daughter. What is the present age of Arundathi?
Correct
Answer: Option (d)
Explanation:
Let the present ages of Arundathi and her daughter be A and D.
Using the first statement,
(A – 10) = 3(D – 10)
3D – A = 20 …… (1)
Using the second statement,
(A + 10) = 5 + 2(D + 10)
A – 2D = 15……. (2)
Solving (1) and (2), we have D = 35 years and A = 85 years. Hence Option d is correct answer
Incorrect
Answer: Option (d)
Explanation:
Let the present ages of Arundathi and her daughter be A and D.
Using the first statement,
(A – 10) = 3(D – 10)
3D – A = 20 …… (1)
Using the second statement,
(A + 10) = 5 + 2(D + 10)
A – 2D = 15……. (2)
Solving (1) and (2), we have D = 35 years and A = 85 years. Hence Option d is correct answer
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Question 2 of 5
2. Question
5 years ago, the average age of a 10-member family was 30 years. If the ages of grandfather and his eldest daughter are removed on the present day, then the present average of the family will decrease by 3 years. If the difference between the ages of grandfather and his eldest daughter is 20 years, find the present age of grandfather.
Correct
Answer: Option (c)
Explanation:
5 years ago, average age of the family = 30 years.
Present average age of the family = 30 + 5 = 35 years
Total age of the family at present = 35 × 10 = 350 years
If the ages of grandfather and his eldest daughter are removed on the present day, then the present average of the family will decrease by 3 years. It means average age of the rest of the 8 members of the family is ,
(35 – 3), i.e. 32 years.
Total age of 8 members of the family (after removing the ages of grandfather and his eldest daughter) = 32 × 8 = 256 years
So, sum of the ages of grandfather and his eldest daughter = 350 – 256 = 94 years
Grandfather + Eldest daughter = 94 …..(1)
It is also given that, difference between the ages of grandfather and his eldest daughter is 20 years.
Grandfather – Eldest daughter = 20 ……(2)
Adding equations (1) and (2), we get:
Age of grandfather = (94 + 20)/2 = 57 years
Hence, option (c) is the correct answer.
Incorrect
Answer: Option (c)
Explanation:
5 years ago, average age of the family = 30 years.
Present average age of the family = 30 + 5 = 35 years
Total age of the family at present = 35 × 10 = 350 years
If the ages of grandfather and his eldest daughter are removed on the present day, then the present average of the family will decrease by 3 years. It means average age of the rest of the 8 members of the family is ,
(35 – 3), i.e. 32 years.
Total age of 8 members of the family (after removing the ages of grandfather and his eldest daughter) = 32 × 8 = 256 years
So, sum of the ages of grandfather and his eldest daughter = 350 – 256 = 94 years
Grandfather + Eldest daughter = 94 …..(1)
It is also given that, difference between the ages of grandfather and his eldest daughter is 20 years.
Grandfather – Eldest daughter = 20 ……(2)
Adding equations (1) and (2), we get:
Age of grandfather = (94 + 20)/2 = 57 years
Hence, option (c) is the correct answer.
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Question 3 of 5
3. Question
7 years ago, Rohan was x times as old as Ramu and Ramu was 2x times as old as Rajesh. If Rohan is 31 years old now, then how old is Ramu?
Correct
Answer: Option (d)
Explanation:
Let the age of Rajesh 7 years ago be ‘a’ years.
Then, the age of Ramu 7 years ago = 2ax years
And the age of Rohan 7 years ago = 2ax2
Age of Rohan at present = 2ax2+ 7 which is also equivalent to 31 as given in the question.
So, 2ax2+ 7 = 31
or ax2= 12
Thus, the possible values of x are 1 and 2. If x is 1 then a = 12 and if x is 2 then a = 3. So, ax = 12 or 6.
Age of Ramu now = 2ax + 7 = 19 or 31.
Hence, option (d) is the correct answer.
Incorrect
Answer: Option (d)
Explanation:
Let the age of Rajesh 7 years ago be ‘a’ years.
Then, the age of Ramu 7 years ago = 2ax years
And the age of Rohan 7 years ago = 2ax2
Age of Rohan at present = 2ax2+ 7 which is also equivalent to 31 as given in the question.
So, 2ax2+ 7 = 31
or ax2= 12
Thus, the possible values of x are 1 and 2. If x is 1 then a = 12 and if x is 2 then a = 3. So, ax = 12 or 6.
Age of Ramu now = 2ax + 7 = 19 or 31.
Hence, option (d) is the correct answer.
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Question 4 of 5
4. Question
The present age of Bhima is 33.33% more than the present age of Anjaneya, and the present age of Choluram is 35% more than the present age of Bhima. The average of the present ages of Anjaneya, Bhima and Choluram is 62/3 years.
Which of the following is/are correct?
- After 12 years, the ratio of the ages of Choluram and Anjaneya will be 13:9.
- 8 years ago, the ratio of the ages of Bhima and Choluram must have been 12:19.
Select the correct answer using the code given below:
Correct
Answer: Option (c)
Explanation:
We know that, 33.33% = 1/3, and 35% = 7/20
Let the present age of Anjaneya be 3k. Then the present age of Bhima will be 4k.
The present age of Choluram will be 4k + (7/20) of 4k = 4k + 7k/5 = 27k/5
According to the question,
(3k + 4k + 27k/5) ∕3 = 62/3
Or 35k + 27k = 62 × 5
Or 62k = 62 × 5
Or k = 5
So, the present age of Anjaneya = 3k = 15 years
The present age of Bhima = 4k = 20 years
The present age of Choluram = 27k/5 = 27 years
Statement 1:
After 12 years, the ratio of the ages of Choluram and Anjaneya = (27 + 12) / (15 + 12) = 39/27 = 13/9 So, statement 1 is correct.
Statement 2:
8 years ago, the ratio of the ages of Bhima and Choluram = (20 – 8)/(27 – 8) = 12/19
So, statement 2 is also correct. Hence, option (c) is the correct answer.
Incorrect
Answer: Option (c)
Explanation:
We know that, 33.33% = 1/3, and 35% = 7/20
Let the present age of Anjaneya be 3k. Then the present age of Bhima will be 4k.
The present age of Choluram will be 4k + (7/20) of 4k = 4k + 7k/5 = 27k/5
According to the question,
(3k + 4k + 27k/5) ∕3 = 62/3
Or 35k + 27k = 62 × 5
Or 62k = 62 × 5
Or k = 5
So, the present age of Anjaneya = 3k = 15 years
The present age of Bhima = 4k = 20 years
The present age of Choluram = 27k/5 = 27 years
Statement 1:
After 12 years, the ratio of the ages of Choluram and Anjaneya = (27 + 12) / (15 + 12) = 39/27 = 13/9 So, statement 1 is correct.
Statement 2:
8 years ago, the ratio of the ages of Bhima and Choluram = (20 – 8)/(27 – 8) = 12/19
So, statement 2 is also correct. Hence, option (c) is the correct answer.
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Question 5 of 5
5. Question
The ratio of Radha’s and Raman’s ages is 7:8. If the difference between the present age of Radha and the age of Raman 2 years back is 2, then what is the sum of the present ages of Radha and Raman?
Correct
Answer: Option (c)
Explanation:
Let the ages of Radha and Raman be 7x and 8x respectively.
It is known that the difference between the present age of Radha and the age of Raman 2 years back is 2.
So, (8x – 2) – 7x = 2
Or x – 2 = 2
Or x = 4
Sum of present ages of Radha and Raman = 7x + 8x = 15x = 15 × 4 = 60 years.
Hence, option (c) is the correct answer.
Incorrect
Answer: Option (c)
Explanation:
Let the ages of Radha and Raman be 7x and 8x respectively.
It is known that the difference between the present age of Radha and the age of Raman 2 years back is 2.
So, (8x – 2) – 7x = 2
Or x – 2 = 2
Or x = 4
Sum of present ages of Radha and Raman = 7x + 8x = 15x = 15 × 4 = 60 years.
Hence, option (c) is the correct answer.
