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UPSC Insta–DART (Daily Aptitude and Reasoning Test) 23 Jan 2026

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 following statements: Leaders who fail to take responsibility may undermine trust within their institutions. Acting ethically in leadership often requires making decisions that may be unpopular. Short-term gains should always outweigh long-term ethical commitments. Which of the above statements can be inferred from the passage? (a) 1 and 2 only (b) 2 and 3 only (c) 1 and 3 only (d) All three Correct Answer: (a) Explanation: Statement 1: Supported — the passage says shifting blame creates fear and mistrust. Statement 2: Supported — the text notes that true leadership involves acting with integrity even when unpopular. Statement 3: Not supported — the passage explicitly criticises sacrificing ethics for short-term benefit. Thus, (a) is correct. Incorrect Answer: (a) Explanation: Statement 1: Supported — the passage says shifting blame creates fear and mistrust. Statement 2: Supported — the text notes that true leadership involves acting with integrity even when unpopular. Statement 3: Not supported — the passage explicitly criticises sacrificing ethics for short-term benefit. Thus, (a) is correct.

#### 1. Question

Consider the following statements:

• Leaders who fail to take responsibility may undermine trust within their institutions.

• Acting ethically in leadership often requires making decisions that may be unpopular.

• Short-term gains should always outweigh long-term ethical commitments.

Which of the above statements can be inferred from the passage?

• (a) 1 and 2 only

• (b) 2 and 3 only

• (c) 1 and 3 only

• (d) All three

Answer: (a)

Explanation:

Statement 1: Supported — the passage says shifting blame creates fear and mistrust.

Statement 2: Supported — the text notes that true leadership involves acting with integrity even when unpopular.

Statement 3: Not supported — the passage explicitly criticises sacrificing ethics for short-term benefit.

Thus, (a) is correct.

Answer: (a)

Explanation:

Statement 1: Supported — the passage says shifting blame creates fear and mistrust.

Statement 2: Supported — the text notes that true leadership involves acting with integrity even when unpopular.

Statement 3: Not supported — the passage explicitly criticises sacrificing ethics for short-term benefit.

Thus, (a) is correct.

• Question 2 of 5 2. Question Three statements S1, S2 and S3 are given below followed by a Question: S1: The number of red pens is fewer than blue pens, but more than green pens. S2: The number of yellow pens is more than red pens. S3: The number of yellow pens is more than blue pens. Question: Which colour of pen is present in the largest quantity? Which one of the following is correct with respect to the above statements and the question? (a) Only S1 and S2 together are sufficient. (b) Only S1 and S3 together are sufficient. (c) S2 and S3 together are sufficient. (d) All three statements are required. Correct Answer: (b) Solution: From S1: Red < Blue, and Red > Green ⇒ Green < Red < Blue From S3: Yellow > Blue Combining S1 and S3: Green < Red < Blue < Yellow So yellow pens are present in the largest quantity. Now check other combinations: S1 and S2: From S1: Green < Red < Blue From S2: Red < Yellow We do not know whether Yellow > Blue or Yellow is between Red and Blue. So the largest could be Blue or Yellow → not sufficient. S2 and S3: S2: Red < Yellow S3: Blue < Yellow Nothing about green vs yellow; green could be larger than all. So we cannot say Yellow is definitely the largest → not sufficient. Hence, only S1 and S3 together are sufficient, so option (b) is correct. Incorrect Answer: (b) Solution: From S1: Red < Blue, and Red > Green ⇒ Green < Red < Blue From S3: Yellow > Blue Combining S1 and S3: Green < Red < Blue < Yellow So yellow pens are present in the largest quantity. Now check other combinations: S1 and S2: From S1: Green < Red < Blue From S2: Red < Yellow We do not know whether Yellow > Blue or Yellow is between Red and Blue. So the largest could be Blue or Yellow → not sufficient. S2 and S3: S2: Red < Yellow S3: Blue < Yellow Nothing about green vs yellow; green could be larger than all. So we cannot say Yellow is definitely the largest → not sufficient. Hence, only S1 and S3 together are sufficient, so option (b) is correct.

#### 2. Question

Three statements S1, S2 and S3 are given below followed by a Question:

S1: The number of red pens is fewer than blue pens, but more than green pens. S2: The number of yellow pens is more than red pens. S3: The number of yellow pens is more than blue pens.

Question: Which colour of pen is present in the largest quantity?

Which one of the following is correct with respect to the above statements and the question?

• (a) Only S1 and S2 together are sufficient.

• (b) Only S1 and S3 together are sufficient.

• (c) S2 and S3 together are sufficient.

• (d) All three statements are required.

Answer: (b)

Solution:

From S1: Red < Blue, and Red > Green ⇒ Green < Red < Blue

From S3: Yellow > Blue

Combining S1 and S3: Green < Red < Blue < Yellow

So yellow pens are present in the largest quantity.

Now check other combinations:

S1 and S2: From S1: Green < Red < Blue From S2: Red < Yellow We do not know whether Yellow > Blue or Yellow is between Red and Blue. So the largest could be Blue or Yellow → not sufficient.

• From S1: Green < Red < Blue

• From S2: Red < Yellow We do not know whether Yellow > Blue or Yellow is between Red and Blue. So the largest could be Blue or Yellow → not sufficient.

S2 and S3: S2: Red < Yellow S3: Blue < Yellow Nothing about green vs yellow; green could be larger than all. So we cannot say Yellow is definitely the largest → not sufficient.

• S2: Red < Yellow

• S3: Blue < Yellow Nothing about green vs yellow; green could be larger than all. So we cannot say Yellow is definitely the largest → not sufficient.

Hence, only S1 and S3 together are sufficient, so option (b) is correct.

Answer: (b)

Solution:

From S1: Red < Blue, and Red > Green ⇒ Green < Red < Blue

From S3: Yellow > Blue

Combining S1 and S3: Green < Red < Blue < Yellow

So yellow pens are present in the largest quantity.

Now check other combinations:

S1 and S2: From S1: Green < Red < Blue From S2: Red < Yellow We do not know whether Yellow > Blue or Yellow is between Red and Blue. So the largest could be Blue or Yellow → not sufficient.

• From S1: Green < Red < Blue

• From S2: Red < Yellow We do not know whether Yellow > Blue or Yellow is between Red and Blue. So the largest could be Blue or Yellow → not sufficient.

S2 and S3: S2: Red < Yellow S3: Blue < Yellow Nothing about green vs yellow; green could be larger than all. So we cannot say Yellow is definitely the largest → not sufficient.

• S2: Red < Yellow

• S3: Blue < Yellow Nothing about green vs yellow; green could be larger than all. So we cannot say Yellow is definitely the largest → not sufficient.

Hence, only S1 and S3 together are sufficient, so option (b) is correct.

• Question 3 of 5 3. Question A pie chart shows the percentage distribution of carbohydrates, fats, and water in a food item. Carbohydrates correspond to 42% and water corresponds to 50%. If carbohydrates and fats together correspond to ‘p%’, then what is the central angle of the sector representing p on the pie chart? (a) 36° (b) 104° (c) 72° (d) 180° Correct Answer: (d) Solution: Given: • Carbohydrates = 42% • Water = 50% • Total = 100% Let carbohydrates + fats = p% Then: p + water = 100% ⇒ p + 50 = 100 ⇒ p = 50% Now convert p% into angle: 1% = 360° / 100 = 3.6° So, 50% = 50 × 3.6° = 180° Incorrect Answer: (d) Solution: Given: • Carbohydrates = 42% • Water = 50% • Total = 100% Let carbohydrates + fats = p% Then: p + water = 100% ⇒ p + 50 = 100 ⇒ p = 50% Now convert p% into angle: 1% = 360° / 100 = 3.6° So, 50% = 50 × 3.6° = 180°

#### 3. Question

A pie chart shows the percentage distribution of carbohydrates, fats, and water in a food item. Carbohydrates correspond to 42% and water corresponds to 50%.

If carbohydrates and fats together correspond to ‘p%’, then what is the central angle of the sector representing p on the pie chart?

Answer: (d)

Solution:

Given: • Carbohydrates = 42% • Water = 50% • Total = 100%

Let carbohydrates + fats = p% Then: p + water = 100% ⇒ p + 50 = 100 ⇒ p = 50%

Now convert p% into angle: 1% = 360° / 100 = 3.6°

So, 50% = 50 × 3.6° = 180°

Answer: (d)

Solution:

Given: • Carbohydrates = 42% • Water = 50% • Total = 100%

Let carbohydrates + fats = p% Then: p + water = 100% ⇒ p + 50 = 100 ⇒ p = 50%

Now convert p% into angle: 1% = 360° / 100 = 3.6°

So, 50% = 50 × 3.6° = 180°

• Question 4 of 5 4. Question Consider the Question and Statements given below in respect of three villages A, B, and C: Question: What is the distance between village A and village B? Statement-I: Village A is 15 km from village C. Statement-II: Village B is 15 km from village C. 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 Statement-I and Statement-II are sufficient to answer the Question (d) Both Statement-I and Statement-II are not sufficient to answer the Question Correct Answer: (d) Explanation: From Statement-I alone: • We only know A is 15 km from C. Nothing about B ⇒ cannot determine A–B distance. From Statement-II alone: • We only know B is 15 km from C. Nothing about A ⇒ cannot determine A–B distance. Using both together: • A and B are each 15 km from C. • So A and B lie somewhere on a circle of radius 15 km centered at C. • A and B could coincide (distance 0), or be diametrically opposite (distance 30 km), or anything in between. So even together, the distance between A and B is not uniquely determined. Hence, option (d) is correct. Incorrect Answer: (d) Explanation: From Statement-I alone: • We only know A is 15 km from C. Nothing about B ⇒ cannot determine A–B distance. From Statement-II alone: • We only know B is 15 km from C. Nothing about A ⇒ cannot determine A–B distance. Using both together: • A and B are each 15 km from C. • So A and B lie somewhere on a circle of radius 15 km centered at C. • A and B could coincide (distance 0), or be diametrically opposite (distance 30 km), or anything in between. So even together, the distance between A and B is not uniquely determined. Hence, option (d) is correct.

#### 4. Question

Consider the Question and Statements given below in respect of three villages A, B, and C:

Question: What is the distance between village A and village B?

Statement-I: Village A is 15 km from village C. Statement-II: Village B is 15 km from village C.

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 Statement-I and Statement-II are sufficient to answer the Question

• (d) Both Statement-I and Statement-II are not sufficient to answer the Question

Answer: (d)

Explanation: From Statement-I alone: • We only know A is 15 km from C. Nothing about B ⇒ cannot determine A–B distance.

From Statement-II alone: • We only know B is 15 km from C. Nothing about A ⇒ cannot determine A–B distance.

Using both together: • A and B are each 15 km from C. • So A and B lie somewhere on a circle of radius 15 km centered at C. • A and B could coincide (distance 0), or be diametrically opposite (distance 30 km), or anything in between.

So even together, the distance between A and B is not uniquely determined.

Hence, option (d) is correct.

Answer: (d)

Explanation: From Statement-I alone: • We only know A is 15 km from C. Nothing about B ⇒ cannot determine A–B distance.

From Statement-II alone: • We only know B is 15 km from C. Nothing about A ⇒ cannot determine A–B distance.

Using both together: • A and B are each 15 km from C. • So A and B lie somewhere on a circle of radius 15 km centered at C. • A and B could coincide (distance 0), or be diametrically opposite (distance 30 km), or anything in between.

So even together, the distance between A and B is not uniquely determined.

Hence, option (d) is correct.

• Question 5 of 5 5. Question The average of ten numbers is 25. The average of the first four is 20, and that of the next five is 26. The tenth number is 2 less than the eleventh number. Consider the following statements: Statement I: The tenth number is divisible by 8 Statement II: The eleventh number is divisible by 7 Statement III: The sum of tenth and eleventh numbers is divisible by 3 How many of the above statements is/are correct? (a) One only (b) Two only (c) All three (d) None Correct Answer: (b) Solution: • Total sum of 10 numbers = 10 × 25 = 250 • Sum of first 4 = 20 × 4 = 80 • Sum of next 5 = 26 × 5 = 130 So, tenth number = 250 − 80 − 130 = 40 Given: tenth number is 2 less than eleventh number ⇒ 40 = eleventh − 2 ⇒ eleventh number = 42 Now check statements: Tenth number = 40 → 40 ÷ 8 = 5 → divisible II. Eleventh number = 42 → 42 ÷ 7 = 6 → divisible III. 40 + 42 = 82 → 82 ÷ 3 is not an integer → not divisible So, only Statement I and Statement II are correct. Hence, correct answer is option (b) Two only. Incorrect Answer: (b) Solution: • Total sum of 10 numbers = 10 × 25 = 250 • Sum of first 4 = 20 × 4 = 80 • Sum of next 5 = 26 × 5 = 130 So, tenth number = 250 − 80 − 130 = 40 Given: tenth number is 2 less than eleventh number ⇒ 40 = eleventh − 2 ⇒ eleventh number = 42 Now check statements: Tenth number = 40 → 40 ÷ 8 = 5 → divisible II. Eleventh number = 42 → 42 ÷ 7 = 6 → divisible III. 40 + 42 = 82 → 82 ÷ 3 is not an integer → not divisible So, only Statement I and Statement II are correct. Hence, correct answer is option (b) Two only.

#### 5. Question

The average of ten numbers is 25. The average of the first four is 20, and that of the next five is 26. The tenth number is 2 less than the eleventh number.

Consider the following statements: Statement I: The tenth number is divisible by 8 Statement II: The eleventh number is divisible by 7 Statement III: The sum of tenth and eleventh numbers is divisible by 3

How many of the above statements is/are correct?

• (a) One only

• (b) Two only

• (c) All three

Answer: (b)

Solution: • Total sum of 10 numbers = 10 × 25 = 250 • Sum of first 4 = 20 × 4 = 80 • Sum of next 5 = 26 × 5 = 130

So, tenth number = 250 − 80 − 130 = 40

Given: tenth number is 2 less than eleventh number ⇒ 40 = eleventh − 2 ⇒ eleventh number = 42

Now check statements:

• Tenth number = 40 → 40 ÷ 8 = 5 → divisible II. Eleventh number = 42 → 42 ÷ 7 = 6 → divisible III. 40 + 42 = 82 → 82 ÷ 3 is not an integer → not divisible

So, only Statement I and Statement II are correct.

Hence, correct answer is option (b) Two only.

Answer: (b)

Solution: • Total sum of 10 numbers = 10 × 25 = 250 • Sum of first 4 = 20 × 4 = 80 • Sum of next 5 = 26 × 5 = 130

So, tenth number = 250 − 80 − 130 = 40

Given: tenth number is 2 less than eleventh number ⇒ 40 = eleventh − 2 ⇒ eleventh number = 42

Now check statements:

• Tenth number = 40 → 40 ÷ 8 = 5 → divisible II. Eleventh number = 42 → 42 ÷ 7 = 6 → divisible III. 40 + 42 = 82 → 82 ÷ 3 is not an integer → not divisible

So, only Statement I and Statement II are correct.

Hence, correct answer is option (b) Two only.

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