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).
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Question 1 of 5
1. Question
What is the HCF of 23*34 and 25*32 ?
Correct
Answer: (c) HCF is 23*32
Incorrect
Answer: (c) HCF is 23*32
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Question 2 of 5
2. Question
When 13511 13903 and 14589 are divided by the greatest number ‘n’ the remainder in each case is ‘m’ the value of (n+ m) is.
Correct
Answer: (a)
Explanation:
The greatest number that divides the three numbers leaving the some remainder is HCF of the positive difference of three numbers
13903-13511=392
14589-13903=686
14589-13511=1078
HCF of 392, 686, 1078 is 98
Remainder by dividing any of three numbers by 98 we get remainder as 85
,m=98
,n=85
(m+ n)=183
Incorrect
Answer: (a)
Explanation:
The greatest number that divides the three numbers leaving the some remainder is HCF of the positive difference of three numbers
13903-13511=392
14589-13903=686
14589-13511=1078
HCF of 392, 686, 1078 is 98
Remainder by dividing any of three numbers by 98 we get remainder as 85
,m=98
,n=85
(m+ n)=183
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Question 3 of 5
3. Question
The sum of 2 numbers is 135 and their HCF is 9. How many such pairs of numbers can be formed ?
Correct
Answer: (c) 4
Explanation:
Let the numbers be 9a and 9b
9a+9b=135
9(a+ b)=135
(a+ b) =15
(1,14), (2,13), (4,11), (7,8)
Four pairs of co-prime are possible.
Incorrect
Answer: (c) 4
Explanation:
Let the numbers be 9a and 9b
9a+9b=135
9(a+ b)=135
(a+ b) =15
(1,14), (2,13), (4,11), (7,8)
Four pairs of co-prime are possible.
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Question 4 of 5
4. Question
Three numbers are in the ratio 3:4:5 and their LCM is 4200 their HCF is
Correct
Answer: (c) 70
Explanation:
Numbers be 3x*4x*5x=60x
60x=4200
X=70
HCF=70
Incorrect
Answer: (c) 70
Explanation:
Numbers be 3x*4x*5x=60x
60x=4200
X=70
HCF=70
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Question 5 of 5
5. Question
The product of two numbers is 6845. If the HCF of the numbers is 37, then the greater number is,
Correct
Answer: (d) 185
Explanation:
The numbers are 37x and 37y
37x*37y=6845
,xy=6845/37*37 =5
(1,5) co-prime
37*1 and 37*5 are the numbers
Greater number is 185
Incorrect
Answer: (d) 185
Explanation:
The numbers are 37x and 37y
37x*37y=6845
,xy=6845/37*37 =5
(1,5) co-prime
37*1 and 37*5 are the numbers
Greater number is 185
