UPSC Insta–DART (Daily Aptitude and Reasoning Test) 18 Sep 2024
Kartavya Desk Staff
Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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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? a) 70 years b) 75 years c) 80 years d) 85 years 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
#### 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?
• a) 70 years
• b) 75 years
• c) 80 years
• d) 85 years
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
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
• 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. a) 70 years b) 65 years c) 57 years d) 82 years 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.
#### 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.
• a) 70 years
• b) 65 years
• c) 57 years
• d) 82 years
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.
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.
• 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? a) 19 years b) 12 years c) 31 years d) Cannot be determined. 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.
#### 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?
• a) 19 years
• b) 12 years
• c) 31 years
• d) Cannot be determined.
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.
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.
• 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: a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2 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.
#### 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:
• c) Both 1 and 2
• d) Neither 1 nor 2
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
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.
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
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.
• 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? a) 55 years b) 65 years c) 60 years d) None of the above 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.
#### 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?
• a) 55 years
• b) 65 years
• c) 60 years
• d) None of the above
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
Sum of present ages of Radha and Raman = 7x + 8x = 15x = 15 × 4 = 60 years.
Hence, option (c) is the correct answer.
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
Sum of present ages of Radha and Raman = 7x + 8x = 15x = 15 × 4 = 60 years.
Hence, option (c) is the correct answer.
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