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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.
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Question 1 of 5
1. Question
Consider those numbers between 300 and 400 Such that when each number is divided by 6, 9and 12, it leaves 4 as remainder in each case.
What is the sum of the numbers?
Correct
Ans: a
LCM of (6 ,9, 12)= 36
So, number is the form of 36p + 4.
Since, the required number is in between 300 and 400
∴P= 9 and 10
∴Required sum = 328+ 364= 692
Incorrect
Ans: a
LCM of (6 ,9, 12)= 36
So, number is the form of 36p + 4.
Since, the required number is in between 300 and 400
∴P= 9 and 10
∴Required sum = 328+ 364= 692
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Question 2 of 5
2. Question
If the highest common factor of two positive integers is 24, then their least common multiple can not be
Correct
Ans: C
In the given options, only 372 is not divisible by 24
Therefore, LCM of numbers cannot be 372
Incorrect
Ans: C
In the given options, only 372 is not divisible by 24
Therefore, LCM of numbers cannot be 372
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Question 3 of 5
3. Question
The average weight of 6 persons is increased by 2.5 kg when one of them whose weight is 50 kg is replaced by a new man. The weight of the new man is
Correct
The total weight of the six people goes up by 15 kgs (when the average for 6 persons goes up by 2.5 kg). Thus, the new person must be 15 kgs more than the person who he replaces. Hence, the new person’s
weight = 50 + 15 = 65 kg
Incorrect
The total weight of the six people goes up by 15 kgs (when the average for 6 persons goes up by 2.5 kg). Thus, the new person must be 15 kgs more than the person who he replaces. Hence, the new person’s
weight = 50 + 15 = 65 kg
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Question 4 of 5
4. Question
The average age of three boys is 15 years. If their ages are in the ratio 3:5:7, the age of the youngest boy is
Correct
Total age = 3 x 15 = 45. Individual ages being in the ratio 3:5:7 their ages would be 9, 15 and 21 years respectively. The youngest boy would be 9 years.
Incorrect
Total age = 3 x 15 = 45. Individual ages being in the ratio 3:5:7 their ages would be 9, 15 and 21 years respectively. The youngest boy would be 9 years.
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Question 5 of 5
5. Question
The average of the first ten natural numbers is
Correct
Required average = (1 +2+3+……. +10)/10 =55/10 = 5.5 . Alternately you could use the formula for sum of the first n natural numbers as n (n + 1)/2 with n as 10, Then average = Sum/10= 10 x 11/2 x 10 = 5.5
Incorrect
Required average = (1 +2+3+……. +10)/10 =55/10 = 5.5 . Alternately you could use the formula for sum of the first n natural numbers as n (n + 1)/2 with n as 10, Then average = Sum/10= 10 x 11/2 x 10 = 5.5
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