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
Out of a total of 120 musicians in a chub, 5% can play all three instruments, guitar, violin and flute It so happens that the number of musicians who can play any two and only two of the above instruments is 30. 1The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone?
Correct
Answer : b
Given information may be represented by following Venn diagram.
Let the sets G V and F represent the persons who can play guitar, violin and flute, respectively.
Now,
n(G ᴗ V ᴗ F)=120
n(GᴖVᴖF) = 5% of 120
= 6
Let us decompose the sets into various distinct regions and label them using numbers I to 7 as above. So,
n(7) = 6
And n ( 4 ᴗ 5ᴗ6) = 30
And n (1) = 40
We need to determine n (2ᴗ3).
Since, 120 = n (1)+n(2)+n(3) +n(4ᴗ5ᴗ6)+n(7)
120 = 40 +n(2ᴗ3)+30+6
n(2ᴗ3) = 44
So, number of musicians who can play violin alone or flute alone = 44.
Incorrect
Answer : b
Given information may be represented by following Venn diagram.
Let the sets G V and F represent the persons who can play guitar, violin and flute, respectively.
Now,
n(G ᴗ V ᴗ F)=120
n(GᴖVᴖF) = 5% of 120
= 6
Let us decompose the sets into various distinct regions and label them using numbers I to 7 as above. So,
n(7) = 6
And n ( 4 ᴗ 5ᴗ6) = 30
And n (1) = 40
We need to determine n (2ᴗ3).
Since, 120 = n (1)+n(2)+n(3) +n(4ᴗ5ᴗ6)+n(7)
120 = 40 +n(2ᴗ3)+30+6
n(2ᴗ3) = 44
So, number of musicians who can play violin alone or flute alone = 44.
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Question 2 of 5
2. Question
In the above figure, circle P represents hardworking people, circle Q represents intelligent people, circle R represents truthful people, and circle S represents honest people. Which region represents the people who are intelligent, honest and truthful but not hardworking?
Correct
Answer : a
We want a region which represents the people who are intelligent, honest and truthful but not hardworking. So, there are 6 such people.
Incorrect
Answer : a
We want a region which represents the people who are intelligent, honest and truthful but not hardworking. So, there are 6 such people.
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Question 3 of 5
3. Question
The given diagram shows the number of students who failed in an examination comprising papers in English, Hindi and Mathematics. The total number of students who took the test is 500. What is the percentage of students who failed in atleast two subjects?
Correct
Answer : b
Number of students who failed Hindi and English = 10.
Number of students who failed in English and Mathematics = 12.
Number of students who failed in Mathematics and Hindi= 12.
Number of students who failed in Mathematics, English and Hindi = 5.
So, total number of students who failed in atleast two subjects = number of students failed in any two subjects+ number of students failed in 3 subjects
= 10+12+ 12+5
= 39
So, percentage of students failed in atleast 2 subjects = (39/500)´100 = 7.8
Incorrect
Answer : b
Number of students who failed Hindi and English = 10.
Number of students who failed in English and Mathematics = 12.
Number of students who failed in Mathematics and Hindi= 12.
Number of students who failed in Mathematics, English and Hindi = 5.
So, total number of students who failed in atleast two subjects = number of students failed in any two subjects+ number of students failed in 3 subjects
= 10+12+ 12+5
= 39
So, percentage of students failed in atleast 2 subjects = (39/500)´100 = 7.8
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Question 4 of 5
4. Question
Most guitarists are beared males. If A represents all males, B represents beared males and C represents all male guitarists, then the correct diagram for their relations (shaded portion) is
Correct
As all species comes under the male category, so B and C comes under A. Some guitarists are are beared,
so B and C have some common elements between them. Hence, option (a) is correctly representing that most guitarists are beared moles.
Incorrect
As all species comes under the male category, so B and C comes under A. Some guitarists are are beared,
so B and C have some common elements between them. Hence, option (a) is correctly representing that most guitarists are beared moles.
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Question 5 of 5
5. Question
In a dinner party both fish and meat were served. Some look only fish and some only meat. There were some vegetarians who did not accept either. The rest accepted both fish and meat. Which one of the following logic diagrams correctly reflects the above situation?
Correct
Answer : a
The given information can be represented by Venn diagram given in option (a) as shown below.
Incorrect
Answer : a
The given information can be represented by Venn diagram given in option (a) as shown below.
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