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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
Consider those numbers between 300 and 400 Such that when each number is divided by 6, 9 and 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 cannot 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
Consider the following statements
- The HCF of x+ y and x10-y10 is x+y.
- The HCF of x + y and x10+y10 is x+ y.
- The HCF of x-y and x10+y10 is x-y.
- The HCF of x -y and x10-y10 is x- y.
Which of the statements given above are correct?
Correct
Ans: C
We know that, (x- y)is a factor of x10 – y10
and (x + y)is a factor of x10 – y10
Hence, Statements and Iv are true.
Incorrect
Ans: C
We know that, (x- y)is a factor of x10 – y10
and (x + y)is a factor of x10 – y10
Hence, Statements and Iv are true.
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Question 4 of 5
4. Question
The product of HCF and LCM of 18 and 15 is
Correct
Ans: d
HCF of 18 and 15=
LCM of 18 and 15=2 x 3x3x5= 90
∴Product of HCF and LCM of both numbers = 3 x 90 = 270
Incorrect
Ans: d
HCF of 18 and 15=
LCM of 18 and 15=2 x 3x3x5= 90
∴Product of HCF and LCM of both numbers = 3 x 90 = 270
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Question 5 of 5
5. Question
Three planets revolve round the Sun once in 200, 250 and 300 days, respectively in their own orbits. When do they all come relatively to the Same position as at a certain point of time in their orbits?
Correct
Ans: a
Given that, three planets revolves the Sun once in 200, 250 and
300 days, respectively in their own orbits.
∴Required time = LCM of (200, 250, 300) = 3000 days
Hence, after 3000 days they all come relatively to the same position as at a certain point of time in their orbits.
Incorrect
Ans: a
Given that, three planets revolves the Sun once in 200, 250 and
300 days, respectively in their own orbits.
∴Required time = LCM of (200, 250, 300) = 3000 days
Hence, after 3000 days they all come relatively to the same position as at a certain point of time in their orbits.
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