Insta–DART (Daily Aptitude and Reasoning Test) 2020 - 21
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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).
Wish you all the best ! 🙂
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Question 1 of 5
1. Question
Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.
Correct
Answer : a
The required number of combinations when one fruit of each kind is taken
= 5C1 x 4C1 x 3C1 = 5x 4×3 = 60
Incorrect
Answer : a
The required number of combinations when one fruit of each kind is taken
= 5C1 x 4C1 x 3C1 = 5x 4×3 = 60
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Question 2 of 5
2. Question
In how many ways, 12 balls can be divided between 2 boys, one receiving 5 and the other 7 balls?
Correct
Answer : b
Here, order is important then the number of ways in which 12 different then can be divided between two boys who receives 5 and 7 balls respectively, is
= (12!)/(5!7!) *2! = 1584
Incorrect
Answer : b
Here, order is important then the number of ways in which 12 different then can be divided between two boys who receives 5 and 7 balls respectively, is
= (12!)/(5!7!) *2! = 1584
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Question 3 of 5
3. Question
There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities, is
Correct
Answer : b
There are 10 stations on railway line the number of different journey
So, tickets between two stations from given 10 stations from one side = 10C2 = [(10* 9)/2] = 45
Similarly, number of different journey
tickets from other side = 45
∴Total number of tickets to be generated by authorities.
= 45 + 45= 90
Incorrect
Answer : b
There are 10 stations on railway line the number of different journey
So, tickets between two stations from given 10 stations from one side = 10C2 = [(10* 9)/2] = 45
Similarly, number of different journey
tickets from other side = 45
∴Total number of tickets to be generated by authorities.
= 45 + 45= 90
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Question 4 of 5
4. Question
The number of ways in which a committee of 3 ladies and 4 gentlemen from a group can be appointed consisting of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee if Mr. Yis its member, is
Correct
Answer : d
If Mrs. X is selected among the ladies in the committee, then Mr. Yis not selected or if Mrs. X is not selected then Mr. Y can be there in the committee.
So, required number of ways = 8C3 * 6C4 + 7C3 * 7C4
=(8 *7 *6)/(3* 2) * (6*5)/(2*1) + (7* 6* 5)/3 2) * (7 *6* 5)/3 *2)
=840 + 1225 = 2065
Incorrect
Answer : d
If Mrs. X is selected among the ladies in the committee, then Mr. Yis not selected or if Mrs. X is not selected then Mr. Y can be there in the committee.
So, required number of ways = 8C3 * 6C4 + 7C3 * 7C4
=(8 *7 *6)/(3* 2) * (6*5)/(2*1) + (7* 6* 5)/3 2) * (7 *6* 5)/3 *2)
=840 + 1225 = 2065
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Question 5 of 5
5. Question
There are 10 questions in a question paper. In how many ways, a student can solve these questions, if he solves one or more questions?
Correct
Answer : c
Required number of ways
Incorrect
Answer : c
Required number of ways
