UPSC Insta–DART (Daily Aptitude and Reasoning Test) 4 Feb 2025
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 Consider the two statements given below and the question that follows. Statement I: Average of x, y and z is 42 years. Statement II: Thrice the sum of the ages of x and y is 60 years. Question: What is the age of z? Which one of the following is correct in respect of the question and the statements? (a) Statement I alone is sufficient to answer the question. (b) Statement II alone is sufficient to answer the question. (c) Both statements I and II are required to answer the question. (d) Even both statements I and II together are not sufficient to answer the question. Correct Answer: Option (c) Explanation: Let’s check both the statements. From Statement I: (x + y + z)/3 = 42 Or x + y + z = 126 So, age of z can’t be calculated. Thus, Only Statement I is not sufficient. From Statement II: 3(x + y) = 60 Or x + y = 20 So, age of z can’t be calculated. Thus, Only Statement II is not sufficient. From both Statements I and II: x + y + z = 126 ………… (i) x + y = 20…………….. (ii) Putting the value of (x + y) from equation (ii) in equation (i), we get: 20 + z = 126 Or z = 126 – 20 = 106 So, it is clear that both statements together are sufficient to answer the question. Hence, option (c) is correct. Incorrect Answer: Option (c) Explanation: Let’s check both the statements. From Statement I: (x + y + z)/3 = 42 Or x + y + z = 126 So, age of z can’t be calculated. Thus, Only Statement I is not sufficient. From Statement II: 3(x + y) = 60 Or x + y = 20 So, age of z can’t be calculated. Thus, Only Statement II is not sufficient. From both Statements I and II: x + y + z = 126 ………… (i) x + y = 20…………….. (ii) Putting the value of (x + y) from equation (ii) in equation (i), we get: 20 + z = 126 Or z = 126 – 20 = 106 So, it is clear that both statements together are sufficient to answer the question. Hence, option (c) is correct.
#### 1. Question
Consider the two statements given below and the question that follows.
Statement I: Average of x, y and z is 42 years.
Statement II: Thrice the sum of the ages of x and y is 60 years.
Question: What is the age of z?
Which one of the following is correct in respect of the question and the statements?
• (a) Statement I alone is sufficient to answer the question.
• (b) Statement II alone is sufficient to answer the question.
• (c) Both statements I and II are required to answer the question.
• (d) Even both statements I and II together are not sufficient to answer the question.
Answer: Option (c)
Explanation:
Let’s check both the statements.
From Statement I:
(x + y + z)/3 = 42
Or x + y + z = 126
So, age of z can’t be calculated.
Thus, Only Statement I is not sufficient.
From Statement II:
3(x + y) = 60
Or x + y = 20
So, age of z can’t be calculated.
Thus, Only Statement II is not sufficient.
From both Statements I and II:
x + y + z = 126 ………… (i)
x + y = 20…………….. (ii)
Putting the value of (x + y) from equation (ii) in equation (i), we get:
20 + z = 126
Or z = 126 – 20 = 106
So, it is clear that both statements together are sufficient to answer the question. Hence, option (c) is correct.
Answer: Option (c)
Explanation:
Let’s check both the statements.
From Statement I:
(x + y + z)/3 = 42
Or x + y + z = 126
So, age of z can’t be calculated.
Thus, Only Statement I is not sufficient.
From Statement II:
3(x + y) = 60
Or x + y = 20
So, age of z can’t be calculated.
Thus, Only Statement II is not sufficient.
From both Statements I and II:
x + y + z = 126 ………… (i)
x + y = 20…………….. (ii)
Putting the value of (x + y) from equation (ii) in equation (i), we get:
20 + z = 126
Or z = 126 – 20 = 106
So, it is clear that both statements together are sufficient to answer the question. Hence, option (c) is correct.
• Question 2 of 5 2. Question A rectangular ground has measurements 10m × 20m. If the length of the ground is increased by 50% and breadth is decreased by 25%, then the resultant area of ground will be (a) 200 m^2 (a) 200 m^2 (c) 450 m^2 (d) 480 m^2 Correct Answer: Option (b) Explanation: Given: Length (l) = 20 m & Breadth (b) = 10 m Length after an increase of 50% = 20 × (150/100) = 30 m Breadth after 25% decrease = 10 × (3/4) = 7.5 m ∴ Resultant area of rectangular ground = l × b = 30 × 7.5 = 225 m2 Hence, option (b) is correct. Incorrect Answer: Option (b) Explanation: Given: Length (l) = 20 m & Breadth (b) = 10 m Length after an increase of 50% = 20 × (150/100) = 30 m Breadth after 25% decrease = 10 × (3/4) = 7.5 m ∴ Resultant area of rectangular ground = l × b = 30 × 7.5 = 225 m2 Hence, option (b) is correct.
#### 2. Question
A rectangular ground has measurements 10m × 20m. If the length of the ground is increased by 50% and breadth is decreased by 25%, then the resultant area of ground will be
• (a) 200 m^2
• (a) 200 m^2
• (c) 450 m^2
• (d) 480 m^2
Answer: Option (b)
Explanation:
Given: Length (l) = 20 m & Breadth (b) = 10 m
Length after an increase of 50% = 20 × (150/100) = 30 m
Breadth after 25% decrease = 10 × (3/4) = 7.5 m
∴ Resultant area of rectangular ground = l × b = 30 × 7.5 = 225 m2 Hence, option (b) is correct.
Answer: Option (b)
Explanation:
Given: Length (l) = 20 m & Breadth (b) = 10 m
Length after an increase of 50% = 20 × (150/100) = 30 m
Breadth after 25% decrease = 10 × (3/4) = 7.5 m
∴ Resultant area of rectangular ground = l × b = 30 × 7.5 = 225 m2 Hence, option (b) is correct.
• Question 3 of 5 3. Question Pankaj Tripati was born on 29th Feb, 2016 which happened to be a Monday. On what day would she celebrate her birthday next? (a) Monday (b) Tuesday (c) Friday (d) Saturday Correct Answer: Option (d) Explanation: 29th Feb, 2016 = Monday. So, 28th Feb, 2016 = Sunday 28th Feb, 2017 = Tuesday (because 2016 is a leap year, there will be 2 odd days) Therefore, Feb 28th 2018 (Wednesday), Feb 28th 2019 (Thursday), Feb 28th 2020 (Friday), Feb 29th 2020 (Saturday). Hence, option (d) is correct. Incorrect Answer: Option (d) Explanation: 29th Feb, 2016 = Monday. So, 28th Feb, 2016 = Sunday 28th Feb, 2017 = Tuesday (because 2016 is a leap year, there will be 2 odd days) Therefore, Feb 28th 2018 (Wednesday), Feb 28th 2019 (Thursday), Feb 28th 2020 (Friday), Feb 29th 2020 (Saturday). Hence, option (d) is correct.
#### 3. Question
Pankaj Tripati was born on 29th Feb, 2016 which happened to be a Monday. On what day would she celebrate her birthday next?
• (a) Monday
• (b) Tuesday
• (c) Friday
• (d) Saturday
Answer: Option (d)
Explanation:
29th Feb, 2016 = Monday. So, 28th Feb, 2016 = Sunday
28th Feb, 2017 = Tuesday (because 2016 is a leap year, there will be 2 odd days)
Therefore, Feb 28th 2018 (Wednesday), Feb 28th 2019 (Thursday), Feb 28th 2020 (Friday), Feb 29th 2020 (Saturday). Hence, option (d) is correct.
Answer: Option (d)
Explanation:
29th Feb, 2016 = Monday. So, 28th Feb, 2016 = Sunday
28th Feb, 2017 = Tuesday (because 2016 is a leap year, there will be 2 odd days)
Therefore, Feb 28th 2018 (Wednesday), Feb 28th 2019 (Thursday), Feb 28th 2020 (Friday), Feb 29th 2020 (Saturday). Hence, option (d) is correct.
• Question 4 of 5 4. Question Consider two Statements and a Question. Statement-1: The angle of elevation of sunlight changes from 30° to 45°. Statement-2: The length of the shadow of the pillar decreases by 12 m. Question: Find the height of the pillar? Which of the following is correct in respect of the statements and the question? (a) Both Statements 1 and 2 are required to answer the question. (b) Statement 1 is sufficient to answer while statement 2 is not enough to answer the question. (c) Statement 2 is sufficient to answer while statement 1 is not enough to answer the question. (d) Either Statement 1 alone or Statement 2 alone is sufficient to answer the question. Correct Answer: Option (a) Explanation: From statement 1 and 2: When the angle of elevation of sunlight changes from 30° to 45°, the length of the shadow of the pillar decreases by 12 m. Suppose the height of pillar is H. From the figure: tan 30° = H/(P + 12) ⇒ 1/√3 = H/(P +12) ⇒ P + 12 = H√3 And tan 45° = H/P ⇒ H = P Hence, H + 12 = H√3 ⇒ H = 12/(1.73 – 1) ⇒ H = 16.43 m Thus, both statements 1 and 2 are required to answer the question. Hence, option (a) is the correct answer. Incorrect Answer: Option (a) Explanation: From statement 1 and 2: When the angle of elevation of sunlight changes from 30° to 45°, the length of the shadow of the pillar decreases by 12 m. Suppose the height of pillar is H. From the figure: tan 30° = H/(P + 12) ⇒ 1/√3 = H/(P +12) ⇒ P + 12 = H√3 And tan 45° = H/P ⇒ H = P Hence, H + 12 = H√3 ⇒ H = 12/(1.73 – 1) ⇒ H = 16.43 m Thus, both statements 1 and 2 are required to answer the question. Hence, option (a) is the correct answer.
#### 4. Question
Consider two Statements and a Question.
Statement-1: The angle of elevation of sunlight changes from 30° to 45°.
Statement-2: The length of the shadow of the pillar decreases by 12 m.
Question: Find the height of the pillar?
Which of the following is correct in respect of the statements and the question?
• (a) Both Statements 1 and 2 are required to answer the question.
• (b) Statement 1 is sufficient to answer while statement 2 is not enough to answer the question.
• (c) Statement 2 is sufficient to answer while statement 1 is not enough to answer the question.
• (d) Either Statement 1 alone or Statement 2 alone is sufficient to answer the question.
Answer: Option (a)
Explanation:
From statement 1 and 2:
When the angle of elevation of sunlight changes from 30° to 45°, the length of the shadow of the pillar decreases by 12 m.
Suppose the height of pillar is H.
From the figure:
tan 30° = H/(P + 12)
⇒ 1/√3 = H/(P +12)
⇒ P + 12 = H√3
And tan 45° = H/P
Hence, H + 12 = H√3
⇒ H = 12/(1.73 – 1)
⇒ H = 16.43 m Thus, both statements 1 and 2 are required to answer the question. Hence, option (a) is the correct answer.
Answer: Option (a)
Explanation:
From statement 1 and 2:
When the angle of elevation of sunlight changes from 30° to 45°, the length of the shadow of the pillar decreases by 12 m.
Suppose the height of pillar is H.
From the figure:
tan 30° = H/(P + 12)
⇒ 1/√3 = H/(P +12)
⇒ P + 12 = H√3
And tan 45° = H/P
Hence, H + 12 = H√3
⇒ H = 12/(1.73 – 1)
⇒ H = 16.43 m Thus, both statements 1 and 2 are required to answer the question. Hence, option (a) is the correct answer.
• Question 5 of 5 5. Question Four school buses – bus A, bus B, bus C and bus D started moving towards East from the school. After moving 5 km, buses B and C start moving towards the right, while buses A and D start moving towards the left. After 8 km, buses B and C start moving towards their left, while buses A and D turn towards their right. In which directions are the buses A, B, C and D moving now respectively? (a) North, South, East, West (b) East, West, West, East (c) East, West, East, West (d) East, East, East, East Correct Answer: Option (d) Explanation: The path followed by the four buses has been depicted below: Thus, buses A, B, C and D are all moving in the East direction now. Hence, option (d) is correct. Incorrect Answer: Option (d) Explanation: The path followed by the four buses has been depicted below: Thus, buses A, B, C and D are all moving in the East direction now. Hence, option (d) is correct.
#### 5. Question
Four school buses – bus A, bus B, bus C and bus D started moving towards East from the school. After moving 5 km, buses B and C start moving towards the right, while buses A and D start moving towards the left. After 8 km, buses B and C start moving towards their left, while buses A and D turn towards their right. In which directions are the buses A, B, C and D moving now respectively?
• (a) North, South, East, West
• (b) East, West, West, East
• (c) East, West, East, West
• (d) East, East, East, East
Answer: Option (d)
Explanation:
The path followed by the four buses has been depicted below:
Thus, buses A, B, C and D are all moving in the East direction now. Hence, option (d) is correct.
Answer: Option (d)
Explanation:
The path followed by the four buses has been depicted below:
Thus, buses A, B, C and D are all moving in the East direction now. Hence, option (d) is correct.
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