UPSC Insta–DART (Daily Aptitude and Reasoning Test) 19 Sep 2024

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 Two statements S1 and S2 are given below followed by a question: S1: The age difference between them is 6 years. S2: The product of their ages is divisible by 6. Question: What are the ages of two individuals, a and b? a) S1 alone is sufficient to answer the question. b) S2 alone is sufficient to answer the question. c) S1 and S2 together are sufficient to answer the question, but neither S1 alone nor S2 alone is sufficient to answer the question. d) S1 and S2 together are not sufficient to answer the question. Correct Answer: Option (d) Explanation: Statement 1 implies a – b = 6. Statement 2 implies ab is divisible by 6. You can see that many values of a and b can satisfy statement 1 and 2. Hence the question cannot be answered even by using both statements together. Hence option (d) is correct answer. Incorrect Answer: Option (d) Explanation: Statement 1 implies a – b = 6. Statement 2 implies ab is divisible by 6. You can see that many values of a and b can satisfy statement 1 and 2. Hence the question cannot be answered even by using both statements together. Hence option (d) is correct answer.

#### 1. Question

Two statements S1 and S2 are given below followed by a question:

S1: The age difference between them is 6 years.

S2: The product of their ages is divisible by 6.

Question: What are the ages of two individuals, a and b?

• a) S1 alone is sufficient to answer the question.

• b) S2 alone is sufficient to answer the question.

• c) S1 and S2 together are sufficient to answer the question, but neither S1 alone nor S2 alone is sufficient to answer the question.

• d) S1 and S2 together are not sufficient to answer the question.

Answer: Option (d)

Explanation:

Statement 1 implies a – b = 6.

Statement 2 implies ab is divisible by 6.

You can see that many values of a and b can satisfy statement 1 and 2. Hence the question cannot be answered even by using both statements together. Hence option (d) is correct answer.

Answer: Option (d)

Explanation:

Statement 1 implies a – b = 6.

Statement 2 implies ab is divisible by 6.

You can see that many values of a and b can satisfy statement 1 and 2. Hence the question cannot be answered even by using both statements together. Hence option (d) is correct answer.

• Question 2 of 5 2. Question Present ages of A and B are in the ratio of 2:3 respectively. Present ages of C and D are in the ratio of 8:7 respectively. Present average age of A ,B and C is 46 years. Present average age of B, C and D is 48 years. Find the difference between the present ages of B and C? a) 4 years b) 6 years c) 12 years d) 9 years Correct Answer: Option (b) Explanation: Let the present ages of A, B, C and D are 2x, 3x, 8y and 7y resp. Now, 2x+3x+8y = 3×46, 5x+8y = 138 ….(1) Also, 3x+8y+7y = 3×48, 3x+15y = 144….(2) On solving (1) and (2), we get x = 18 y = 6 Difference between present ages of B and C = 54 – 48 = 6 years Incorrect Answer: Option (b) Explanation: Let the present ages of A, B, C and D are 2x, 3x, 8y and 7y resp. Now, 2x+3x+8y = 3×46, 5x+8y = 138 ….(1) Also, 3x+8y+7y = 3×48, 3x+15y = 144….(2) On solving (1) and (2), we get x = 18 y = 6 Difference between present ages of B and C = 54 – 48 = 6 years

#### 2. Question

Present ages of A and B are in the ratio of 2:3 respectively. Present ages of C and D are in the ratio of 8:7 respectively. Present average age of A ,B and C is 46 years. Present average age of B, C and D is 48 years. Find the difference between the present ages of B and C?

• a) 4 years

• b) 6 years

• c) 12 years

• d) 9 years

Answer: Option (b)

Explanation:

Let the present ages of A, B, C and D are 2x, 3x, 8y and 7y resp.

Now, 2x+3x+8y = 3×46, 5x+8y = 138 ….(1)

Also, 3x+8y+7y = 3×48, 3x+15y = 144….(2)

On solving (1) and (2), we get

Difference between present ages of B and C = 54 – 48 = 6 years

Answer: Option (b)

Explanation:

Let the present ages of A, B, C and D are 2x, 3x, 8y and 7y resp.

Now, 2x+3x+8y = 3×46, 5x+8y = 138 ….(1)

Also, 3x+8y+7y = 3×48, 3x+15y = 144….(2)

On solving (1) and (2), we get

Difference between present ages of B and C = 54 – 48 = 6 years

• Question 3 of 5 3. Question Present ages of M and N are in the ratio 7 : 9 respectively. After 5 years this ratio becomes 9 : 11. Then the difference between their present ages is: a) 4 years b) 5 years c) 8 years d) 7 years Correct Answer: Option (b) Explanation: Let the present age of M and N are x and y. So, given ratio = 7 : 9 x/y = 7/9 9x – 7y = 0 ……..(1) After 5 years the ratio = 9 : 11 (x +5) /( y +5) = 9 /11 11x – 9y = -10 …….(2) After solving eq (1) and eq (2), we get x = 17.5 years and y = 22.5 years Difference = 22.5 – 17.5 = 5 years. Hence Option (b) is correct answer Incorrect Answer: Option (b) Explanation: Let the present age of M and N are x and y. So, given ratio = 7 : 9 x/y = 7/9 9x – 7y = 0 ……..(1) After 5 years the ratio = 9 : 11 (x +5) /( y +5) = 9 /11 11x – 9y = -10 …….(2) After solving eq (1) and eq (2), we get x = 17.5 years and y = 22.5 years Difference = 22.5 – 17.5 = 5 years. Hence Option (b) is correct answer

#### 3. Question

Present ages of M and N are in the ratio 7 : 9 respectively. After 5 years this ratio becomes 9 : 11. Then the difference between their present ages is:

• a) 4 years

• b) 5 years

• c) 8 years

• d) 7 years

Answer: Option (b)

Explanation:

Let the present age of M and N are x and y.

So, given ratio = 7 : 9

9x – 7y = 0 ……..(1)

After 5 years the ratio = 9 : 11

(x +5) /( y +5) = 9 /11

11x – 9y = -10 …….(2)

After solving eq (1) and eq (2), we get x = 17.5 years and y = 22.5 years

Difference = 22.5 – 17.5 = 5 years. Hence Option (b) is correct answer

Answer: Option (b)

Explanation:

Let the present age of M and N are x and y.

So, given ratio = 7 : 9

9x – 7y = 0 ……..(1)

After 5 years the ratio = 9 : 11

(x +5) /( y +5) = 9 /11

11x – 9y = -10 …….(2)

After solving eq (1) and eq (2), we get x = 17.5 years and y = 22.5 years

Difference = 22.5 – 17.5 = 5 years. Hence Option (b) is correct answer

• Question 4 of 5 4. Question Two statements S1 and S2 are given below followed by a question: S1: The total age of Kamala and Tanuj together is more than that of Suma. S2: The total age of Rajat and Kamala together is less than that of Suma. Question: Rajat, Kamala, Tanuj and Suma are four friends. Who is the oldest among them? a) S1 alone is sufficient to answer the question. b) S2 alone is sufficient to answer the question. c) S1 and S2 together are sufficient to answer the question, but neither S1 alone nor S2 alone is sufficient to answer the question. d) S1 and S2 together are not sufficient to answer the question. Correct Answer: Option (d) Explanation: From the given statements, we find that: Kamala + Tanuj > Suma and Rajat + Kamala < Suma. Thus, from given information in two statements we not able answer, who is the oldest among them. Hence, option (d) is the correct answer. Incorrect Answer: Option (d) Explanation: From the given statements, we find that: Kamala + Tanuj > Suma and Rajat + Kamala < Suma. Thus, from given information in two statements we not able answer, who is the oldest among them. Hence, option (d) is the correct answer.

#### 4. Question

Two statements S1 and S2 are given below followed by a question:

S1: The total age of Kamala and Tanuj together is more than that of Suma.

S2: The total age of Rajat and Kamala together is less than that of Suma.

Question: Rajat, Kamala, Tanuj and Suma are four friends. Who is the oldest among them?

• a) S1 alone is sufficient to answer the question.

• b) S2 alone is sufficient to answer the question.

• c) S1 and S2 together are sufficient to answer the question, but neither S1 alone nor S2 alone is sufficient to answer the question.

• d) S1 and S2 together are not sufficient to answer the question.

Answer: Option (d)

Explanation:

From the given statements, we find that: Kamala + Tanuj > Suma and Rajat + Kamala < Suma. Thus, from given information in two statements we not able answer, who is the oldest among them. Hence, option (d) is the correct answer.

Answer: Option (d)

Explanation:

• Question 5 of 5 5. Question There are two groups of students. In group X, there are 50 students and oldest student of the group is 16 and youngest is 12 years old. In the group Y, there are 25 students and their average age is 10 years. 5 Students from group Y are transferred to group X. Consider the following statements: Average age of group X will definitely decrease. Average age of group X will definitely increase. Which of the statements given above is are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2 Correct Answer: Option (d) Explanation: Since, we have only the average age of group Y students, we cannot say definitely that the average of age of the group of 5 students is higher than the 12 (age of youngest boy in Group X) or lower. So, we cannot say for sure whether the average age of group X will increase or decrease. Hence, option (d) is the correct answer. Incorrect Answer: Option (d) Explanation: Since, we have only the average age of group Y students, we cannot say definitely that the average of age of the group of 5 students is higher than the 12 (age of youngest boy in Group X) or lower. So, we cannot say for sure whether the average age of group X will increase or decrease. Hence, option (d) is the correct answer.

#### 5. Question

There are two groups of students. In group X, there are 50 students and oldest student of the group is 16 and youngest is 12 years old. In the group Y, there are 25 students and their average age is 10 years. 5 Students from group Y are transferred to group X.

Consider the following statements:

• Average age of group X will definitely decrease.

• Average age of group X will definitely increase.

Which of the statements given above is are correct?

• c) Both 1 and 2

• d) Neither 1 nor 2

Answer: Option (d)

Explanation:

Since, we have only the average age of group Y students, we cannot say definitely that the average of age of the group of 5 students is higher than the 12 (age of youngest boy in Group X) or lower. So, we cannot say for sure whether the average age of group X will increase or decrease. Hence, option (d) is the correct answer.

Answer: Option (d)

Explanation:

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