Insta–DART (Daily Aptitude and Reasoning Test) 23 July 2021
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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 average of the first 97 Natural numbers.
Correct
Ans-d
The average would be given by the average of the first and last numbers (since the series 1, 2, 3, 4. ..97 is an Arithmetic Progression).
Hence, the average = (1 +97)/2 = 49
Incorrect
Ans-d
The average would be given by the average of the first and last numbers (since the series 1, 2, 3, 4. ..97 is an Arithmetic Progression).
Hence, the average = (1 +97)/2 = 49
Question 2 of 5
2. Question
Find the average of all prime numbers between 30 and 50.
Correct
Ans-a
We need the average of the numbers: 31, 37, 41, 43 and 47
Average = Total/number of numbers → 199/5 =39.8
Incorrect
Ans-a
We need the average of the numbers: 31, 37, 41, 43 and 47
Average = Total/number of numbers → 199/5 =39.8
Question 3 of 5
3. Question
If we take four numbers, the average of the first three is 16 and that of the last three is 15. If the last number is 18, the first number is
Correct
Ans-b
Let the numbers be a, b, c and d, respectively. a + b + c=16 x 3 = 48 and b + c + d =15x 3 = 45.
Also, since d= 18, we have b +c= 45 -18= 27.
Hence, a= 48-(b + c) →a = 21.
Incorrect
Ans-b
Let the numbers be a, b, c and d, respectively. a + b + c=16 x 3 = 48 and b + c + d =15x 3 = 45.
Also, since d= 18, we have b +c= 45 -18= 27.
Hence, a= 48-(b + c) →a = 21.
Question 4 of 5
4. Question
The average of 5 consecutive numbers is n. If the next two numbers are also included, the average will.
Correct
Ans-a
If the numbers are a + 1, a + 2, a + 3, at 4 and a +5 the average would be a + 3. If we take 7
numbers as:
a + 1, a+ 2, a + 3, a + 4, a + 5, a +6 and a+ 7 their average would be a+4. Hence, the average in-
creases by 1.
Incorrect
Ans-a
If the numbers are a + 1, a + 2, a + 3, at 4 and a +5 the average would be a + 3. If we take 7
numbers as:
a + 1, a+ 2, a + 3, a + 4, a + 5, a +6 and a+ 7 their average would be a+4. Hence, the average in-
creases by 1.
Question 5 of 5
5. Question
The average of 50 numbers is 38. If two numbers, namely, 45 and 55 are discarded, the average of the remaining numbers is
Correct
Ans-d
Total of 48 numbers = 50 x 38 – 45 – 55 = 1800.
Average of 48 numbers = 1800/48 = 37.5
Incorrect
Ans-d
Total of 48 numbers = 50 x 38 – 45 – 55 = 1800.
Average of 48 numbers = 1800/48 = 37.5
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