UPSC Insta–DART (Daily Aptitude and Reasoning Test) 6 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 Based on the following information, consider the question and two statements given below: Five persons P, Q, R, S and T are sitting in a straight line facing north and equidistant from each other. Question : Who is sitting fourth to the right of P? Statement 1: Q and T do not sit on corners and S sits in the middle. Statement 2: S sits somewhere in between Q and R. Which one of the following is correct in respect of the question and the given statements? a) Statement 1 alone is sufficient to answer the question b) Statement 2 alone is sufficient to answer the question c) Both Statement 1 and statement 2 are sufficient to answer the question d) Both Statement 1 and statement 2 are not sufficient to answer the question Correct Answer: D Explanation: From statement-1: _ Q S T _ _ T S Q _ So, statement-I alone is not sufficient to answer the Q. Also, From statement-2, their position are not clear. Now, considering both statements, together P Q S T R OR R T S Q P Now, fourth to the right of P is either R or none respectively. So, both statements together are also not sufficient to answer the question. Incorrect Answer: D Explanation: From statement-1: _ Q S T _ _ T S Q _ So, statement-I alone is not sufficient to answer the Q. Also, From statement-2, their position are not clear. Now, considering both statements, together P Q S T R OR R T S Q P Now, fourth to the right of P is either R or none respectively. So, both statements together are also not sufficient to answer the question.
#### 1. Question
Based on the following information, consider the question and two statements given below:
Five persons P, Q, R, S and T are sitting in a straight line facing north and equidistant from each other.
Question : Who is sitting fourth to the right of P?
Statement 1: Q and T do not sit on corners and S sits in the middle.
Statement 2: S sits somewhere in between Q and R.
Which one of the following is correct in respect of the question and the given statements?
• a) Statement 1 alone is sufficient to answer the question
• b) Statement 2 alone is sufficient to answer the question
• c) Both Statement 1 and statement 2 are sufficient to answer the question
• d) Both Statement 1 and statement 2 are not sufficient to answer the question
Explanation:
From statement-1:
So, statement-I alone is not sufficient to answer the Q.
From statement-2, their position are not clear.
Now, considering both statements, together
Now, fourth to the right of P is either R or none respectively.
So, both statements together are also not sufficient to answer the question.
Explanation:
From statement-1:
So, statement-I alone is not sufficient to answer the Q.
From statement-2, their position are not clear.
Now, considering both statements, together
Now, fourth to the right of P is either R or none respectively.
So, both statements together are also not sufficient to answer the question.
• Question 2 of 5 2. Question Consider the following statements in respect of a square sheet of side 40 cm. It is not possible to completely cover the curved surface of a hollow right cone with this sheet if the cone’s radius is 14 cm and slant height is 36 cm. If we make a cylinder of length 40cm by folding its sides, the radius of the cylinder will be 8cm. Which of the above statements is/are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2 Correct Answer: D Explanation: Area of sheet = 40 × 40 = 1600 cm2 Statement – 1 Area of curved surface of cone = πrl = (22/7) × 14 × 36 = 1584 cm2 i.e., sheet can completely cover this surface. Statement-2 Here, 2πR = 40 R = 6.36 cm Hence, option (d) is the correct answer. Incorrect Answer: D Explanation: Area of sheet = 40 × 40 = 1600 cm2 Statement – 1 Area of curved surface of cone = πrl = (22/7) × 14 × 36 = 1584 cm2 i.e., sheet can completely cover this surface. Statement-2 Here, 2πR = 40 R = 6.36 cm Hence, option (d) is the correct answer.
#### 2. Question
Consider the following statements in respect of a square sheet of side 40 cm.
• It is not possible to completely cover the curved surface of a hollow right cone with this sheet if the cone’s radius is 14 cm and slant height is 36 cm.
• If we make a cylinder of length 40cm by folding its sides, the radius of the cylinder will be 8cm.
Which of the above statements is/are correct?
• c) Both 1 and 2
• d) Neither 1 nor 2
Explanation:
Area of sheet = 40 × 40 = 1600 cm2
Statement – 1
Area of curved surface of cone = πrl = (22/7) × 14 × 36 = 1584 cm2
i.e., sheet can completely cover this surface.
Statement-2
Here, 2πR = 40
R = 6.36 cm Hence, option (d) is the correct answer.
Explanation:
Area of sheet = 40 × 40 = 1600 cm2
Statement – 1
Area of curved surface of cone = πrl = (22/7) × 14 × 36 = 1584 cm2
i.e., sheet can completely cover this surface.
Statement-2
Here, 2πR = 40
R = 6.36 cm Hence, option (d) is the correct answer.
• Question 3 of 5 3. Question Statements: No carrot are brinjal. All brinjal is pumpkin. No pumpkin is potato. Conclusions: Some pumpkin is carrot. All potato are brinjal. Which one of the following is correct? a) Only conclusion I follows. b) Neither conclusion I nor II follows. c) Only conclusion II follows. d) Both conclusions I and II follow. Correct Answer: B Explanation: Venn diagram is as follows: From above diagram we can conclude that, Neither conclusion I nor II follows. Incorrect Answer: B Explanation: Venn diagram is as follows: From above diagram we can conclude that, Neither conclusion I nor II follows.
#### 3. Question
Statements:
• No carrot are brinjal.
• All brinjal is pumpkin.
• No pumpkin is potato.
Conclusions:
• Some pumpkin is carrot.
• All potato are brinjal.
Which one of the following is correct?
• a) Only conclusion I follows.
• b) Neither conclusion I nor II follows.
• c) Only conclusion II follows.
• d) Both conclusions I and II follow.
Explanation:
Venn diagram is as follows:
From above diagram we can conclude that, Neither conclusion I nor II follows.
Explanation:
Venn diagram is as follows:
From above diagram we can conclude that, Neither conclusion I nor II follows.
• Question 4 of 5 4. Question A locker in bank has 3-digit lock. Mahesh forgot his password and was trying all possible combinations. He took 6 seconds for each try. The problem was that each digit can be from 0 to 9. How much time will be needed to by Mahesh to try all the combinations? a) 100 minutes b) 120 minutes c) 60 minutes d) 90 minutes Correct Answer: A Explanation: For three digit lock the possible combination can be 10 x 10 x 10 = 1000 For each combination 6 seconds are needed Total time needed is 6000 seconds or 6000/60 = 100 minutes Incorrect Answer: A Explanation: For three digit lock the possible combination can be 10 x 10 x 10 = 1000 For each combination 6 seconds are needed Total time needed is 6000 seconds or 6000/60 = 100 minutes
#### 4. Question
A locker in bank has 3-digit lock. Mahesh forgot his password and was trying all possible combinations. He took 6 seconds for each try. The problem was that each digit can be from 0 to 9. How much time will be needed to by Mahesh to try all the combinations?
• a) 100 minutes
• b) 120 minutes
• c) 60 minutes
• d) 90 minutes
Explanation:
For three digit lock the possible combination can be 10 x 10 x 10 = 1000
For each combination 6 seconds are needed
Total time needed is 6000 seconds or 6000/60 = 100 minutes
Explanation:
For three digit lock the possible combination can be 10 x 10 x 10 = 1000
For each combination 6 seconds are needed
Total time needed is 6000 seconds or 6000/60 = 100 minutes
• Question 5 of 5 5. Question The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 48. Then the sum is: a) Rs 1250 b) Rs 1500 c) Rs 1200 d) Rs 2000 Correct Answer: C Explanation: Let the sum be P. Given, rate = 20%, T = 2 years SI = (P × 20 × 2)/100 = SI = 0.4P For Compound interest A= P (1+20/100)2 A = P × 1.22 A= 1.44P CI = A – P CI = 1.44P – P = 0.44P Given difference between Cl and SI is Rs 48 0.44P – 0.4P = 48 0.04P = 48 P = 1200 Incorrect Answer: C Explanation: Let the sum be P. Given, rate = 20%, T = 2 years SI = (P × 20 × 2)/100 = SI = 0.4P For Compound interest A= P (1+20/100)2 A = P × 1.22 A= 1.44P CI = A – P CI = 1.44P – P = 0.44P Given difference between Cl and SI is Rs 48 0.44P – 0.4P = 48 0.04P = 48 P = 1200
#### 5. Question
The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 48. Then the sum is:
• a) Rs 1250
• b) Rs 1500
• c) Rs 1200
• d) Rs 2000
Explanation:
Let the sum be P.
Given, rate = 20%, T = 2 years
SI = (P × 20 × 2)/100
= SI = 0.4P
For Compound interest
A= P (1+20/100)2
A = P × 1.22
CI = A – P
CI = 1.44P – P = 0.44P
Given difference between Cl and SI is Rs 48
0.44P – 0.4P = 48
0.04P = 48
Explanation:
Let the sum be P.
Given, rate = 20%, T = 2 years
SI = (P × 20 × 2)/100
= SI = 0.4P
For Compound interest
A= P (1+20/100)2
A = P × 1.22
CI = A – P
CI = 1.44P – P = 0.44P
Given difference between Cl and SI is Rs 48
0.44P – 0.4P = 48
0.04P = 48
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