UPSC Insta–DART (Daily Aptitude and Reasoning Test) 12 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).
#### Quiz-summary
0 of 5 questions completed
Questions:
#### Information
Best of Luck! 🙂
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
0 of 5 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 points, (0)
#### Categories
• Not categorized 0%
• Question 1 of 5 1. Question In a cricket match, probability that X hits a century is 1/2 and probability that Y hits a century is 2/3. If both play in that particular match, the probability that at least one of them hits a century is- a) 1/2 b) 1/6 c) 2/3 d) 5/6 Correct Answer: D Explanation There can be three favourable cases: X hits a century and Y does not hit a century OR X does not hit a century and Y hits a century OR X hits a century and Y also hits a century. Probability that X hits a century = 1/2 Probability that X does not hit a century = 1 – 1/2 = 1/2 Probability that Y hits a century = 2/3 Probability that Y does not hit a century = 1 – 2/3 = 1/3 Hence, the required probability = (1/2) (1/3) + (1/2) (2/3) + (1/2) (2/3) = 1/6 + 2/6 + 2/6 = 5/6 Incorrect Answer: D Explanation There can be three favourable cases: X hits a century and Y does not hit a century OR X does not hit a century and Y hits a century OR X hits a century and Y also hits a century. Probability that X hits a century = 1/2 Probability that X does not hit a century = 1 – 1/2 = 1/2 Probability that Y hits a century = 2/3 Probability that Y does not hit a century = 1 – 2/3 = 1/3 Hence, the required probability = (1/2) (1/3) + (1/2) (2/3) + (1/2) (2/3) = 1/6 + 2/6 + 2/6 = 5/6
#### 1. Question
In a cricket match, probability that X hits a century is 1/2 and probability that Y hits a century is 2/3. If both play in that particular match, the probability that at least one of them hits a century is-
Explanation
There can be three favourable cases:
X hits a century and Y does not hit a century OR X does not hit a century and Y hits a century OR X hits
a century and Y also hits a century.
Probability that X hits a century = 1/2
Probability that X does not hit a century = 1 – 1/2 = 1/2
Probability that Y hits a century = 2/3
Probability that Y does not hit a century = 1 – 2/3 = 1/3
Hence, the required probability = (1/2) (1/3) + (1/2) (2/3) + (1/2) (2/3) = 1/6 + 2/6 + 2/6 = 5/6
Explanation
There can be three favourable cases:
X hits a century and Y does not hit a century OR X does not hit a century and Y hits a century OR X hits
a century and Y also hits a century.
Probability that X hits a century = 1/2
Probability that X does not hit a century = 1 – 1/2 = 1/2
Probability that Y hits a century = 2/3
Probability that Y does not hit a century = 1 – 2/3 = 1/3
Hence, the required probability = (1/2) (1/3) + (1/2) (2/3) + (1/2) (2/3) = 1/6 + 2/6 + 2/6 = 5/6
• Question 2 of 5 2. Question In a circular field, Sonu is standing at the centre of field and Monu is walking clockwise along the circumference of the field. When Monu started walking, he was in the east direction with respect to Sonu. Monu covered 3/4 th of the circumference and stopped. Now Monu is in which direction with respect to Sonu? a) North b) South c) East d) West Correct Answer: A Explanation 3/4th of the circular filed = (3/4) × 360o = 270o Now, from the given diagram, 270o clockwise = 90o anticlockwise = North Hence, Monu is in north direction with respect to Sonu. Incorrect Answer: A Explanation 3/4th of the circular filed = (3/4) × 360o = 270o Now, from the given diagram, 270o clockwise = 90o anticlockwise = North Hence, Monu is in north direction with respect to Sonu.
#### 2. Question
In a circular field, Sonu is standing at the centre of field and Monu is walking clockwise along the circumference of the field. When Monu started walking, he was in the east direction with respect to Sonu. Monu covered 3/4 th of the circumference and stopped. Now Monu is in which direction with respect to Sonu?
Explanation
3/4th of the circular filed = (3/4) × 360o = 270o
Now, from the given diagram,
270o clockwise = 90o anticlockwise = North
Hence, Monu is in north direction with respect to Sonu.
Explanation
3/4th of the circular filed = (3/4) × 360o = 270o
Now, from the given diagram,
270o clockwise = 90o anticlockwise = North
Hence, Monu is in north direction with respect to Sonu.
• Question 3 of 5 3. Question Consider the following information that represents the meaning of symbols -@, & and . A @ B means B is the grand-daughter of A. A & B means A is the son of B. A B means B is the father of A. What does the expression P & Q R @ S mean? a) Q is the maternal uncle of S. b) P and S are not siblings. c) Q is the son of R. d) R is the grand-father of P. Correct Answer: D Explanation A @ B means B is the grand-daughter of A. A & B means A is the son of B. A B means B is the father of A. Therefore, P & Q R @ S can be represented as From the family tree diagram, it is clear that R is the grandfather of P. Incorrect Answer: D Explanation A @ B means B is the grand-daughter of A. A & B means A is the son of B. A B means B is the father of A. Therefore, P & Q * R @ S can be represented as From the family tree diagram, it is clear that R is the grandfather of P.
#### 3. Question
Consider the following information that represents the meaning of symbols -@, & and *.
• A @ B means B is the grand-daughter of A.
• A & B means A is the son of B.
• A * B means B is the father of A.
What does the expression P & Q * R @ S mean?
• a) Q is the maternal uncle of S.
• b) P and S are not siblings.
• c) Q is the son of R.
• d) R is the grand-father of P.
Explanation
A @ B means B is the grand-daughter of A.
A & B means A is the son of B.
A * B means B is the father of A.
Therefore, P & Q * R @ S can be represented as
From the family tree diagram, it is clear that R is the grandfather of P.
Explanation
A @ B means B is the grand-daughter of A.
A & B means A is the son of B.
A * B means B is the father of A.
Therefore, P & Q * R @ S can be represented as
From the family tree diagram, it is clear that R is the grandfather of P.
• Question 4 of 5 4. Question What is the angular distance travelled by a minute hand between 2:10 and 2:30? a) 70° b) 120° c) 100° d) 60° Correct Answer: B Explanation There is a gap of 20 minutes in between 2 : 10 and 2 : 30. Minute hand covers 360° in 60 minutes. So, Angular distance covered in 1 minute = 360°/60 = 6° So, Angular distance covered in 20 minutes = 20 × 6° = 120° Incorrect Answer: B Explanation There is a gap of 20 minutes in between 2 : 10 and 2 : 30. Minute hand covers 360° in 60 minutes. So, Angular distance covered in 1 minute = 360°/60 = 6° So, Angular distance covered in 20 minutes = 20 × 6° = 120°
#### 4. Question
What is the angular distance travelled by a minute hand between 2:10 and 2:30?
Explanation
There is a gap of 20 minutes in between 2 : 10 and 2 : 30.
Minute hand covers 360° in 60 minutes.
So, Angular distance covered in 1 minute = 360°/60 = 6°
So, Angular distance covered in 20 minutes = 20 × 6° = 120°
Explanation
There is a gap of 20 minutes in between 2 : 10 and 2 : 30.
Minute hand covers 360° in 60 minutes.
So, Angular distance covered in 1 minute = 360°/60 = 6°
So, Angular distance covered in 20 minutes = 20 × 6° = 120°
• Question 5 of 5 5. Question Three numbers are co-prime to each other, such that the product of the smallest and the largest of these numbers is 102, and that of the largest and second largest numbers is 187. What is the sum of all the three co-prime numbers? a) 44 b) 38 c) 41 d) 34 Correct Answer: D Explanation 102 = 6 × 17 (co-primes) 187 = 11 × 17 (co-primes) Sum of all the three co-prime numbers = 6 + 11 + 17 = 34 Incorrect Answer: D Explanation 102 = 6 × 17 (co-primes) 187 = 11 × 17 (co-primes) Sum of all the three co-prime numbers = 6 + 11 + 17 = 34
#### 5. Question
Three numbers are co-prime to each other, such that the product of the smallest and the largest of these numbers is 102, and that of the largest and second largest numbers is 187. What is the sum of all the three co-prime numbers?
Explanation
102 = 6 × 17 (co-primes)
187 = 11 × 17 (co-primes)
Sum of all the three co-prime numbers = 6 + 11 + 17 = 34
Explanation
102 = 6 × 17 (co-primes)
187 = 11 × 17 (co-primes)
Sum of all the three co-prime numbers = 6 + 11 + 17 = 34
• Official Facebook Page HERE
• Follow our Twitter Account HERE