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
The LCM of two numbers is 432 and their HCF is 72.if one of the number is 144, the other number is:
Correct
Answer: A
Solution
LCM*HCF = a*b
a = First number
b = Second number
72*432 = 144*b
b = 216
Incorrect
Answer: A
Solution
LCM*HCF = a*b
a = First number
b = Second number
72*432 = 144*b
b = 216
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Question 2 of 5
2. Question
The HCF and LCM of two numbers are 6 and 462 respectively. The numbers of such pairs will be
Correct
Answer: C
Solution
Let the numbers be 6x and 6y
x and y are co prime to each other,
LCM = 6xy
6xy = 462
xy = 77
Possible pairs = (1, 77) and (7, 11)
Incorrect
Answer: C
Solution
Let the numbers be 6x and 6y
x and y are co prime to each other,
LCM = 6xy
6xy = 462
xy = 77
Possible pairs = (1, 77) and (7, 11)
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Question 3 of 5
3. Question
The LCM of two numbers is 4 times of their HCF. The sum of LCM and HCF is 250.If one of the number is 200 then the other number is
Correct
Answer: A
Solution
LCM = 4 HCF
HCF＋4HCF = 250
5HCF = 250
HCF = 50
LCM = 4*50 = 200
Second number =( LCM*HCF)/First number = (200*50)/200 = 50
Incorrect
Answer: A
Solution
LCM = 4 HCF
HCF＋4HCF = 250
5HCF = 250
HCF = 50
LCM = 4*50 = 200
Second number =( LCM*HCF)/First number = (200*50)/200 = 50
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Question 4 of 5
4. Question
The LCM of two numbers is 7 times of their HCF. The sum of LCM and HCF is 560.If one of the numbers is 200 then the other number is?
Correct
Answer: A
Solution
LCM = 7 HCF
HCF＋7HCF = 560
8HCF = 560
HCF = 70
LCM = 7*70 = 490
Second number = ( LCM*HCF)/First number = (490*70)/200 = 343/2
Incorrect
Answer: A
Solution
LCM = 7 HCF
HCF＋7HCF = 560
8HCF = 560
HCF = 70
LCM = 7*70 = 490
Second number = ( LCM*HCF)/First number = (490*70)/200 = 343/2
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Question 5 of 5
5. Question
The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is?
Correct
Answer: D
Solution
LCM of (16, 20, 24) = 2*2*2*2*5*3
To make perfect square multiply by 5*3
Hence answer is 4*4*15*15 = 3600
Incorrect
Answer: D
Solution
LCM of (16, 20, 24) = 2*2*2*2*5*3
To make perfect square multiply by 5*3
Hence answer is 4*4*15*15 = 3600
