UPSC Insta–DART (Daily Aptitude and Reasoning Test) 21 Feb 2025
Kartavya Desk Staff
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 When a number is divided by 15, 20 and 35 each time the remainder is 8.Then the smallest possible number is: a) 428 b) 538 c) 418 d) 630 Correct Answer: A Solution LCM of (15, 20, 35) = 5347 = 420 Required number = 420+8 = 428 Incorrect Answer: A Solution LCM of (15, 20, 35) = 5347 = 420 Required number = 420+8 = 428
#### 1. Question
When a number is divided by 15, 20 and 35 each time the remainder is 8.Then the smallest possible number is:
LCM of (15, 20, 35)
= 534*7 = 420
Required number = 420+8 = 428
LCM of (15, 20, 35)
= 534*7 = 420
Required number = 420+8 = 428
• Question 2 of 5 2. Question The LCM and the HCF of the numbers 14 and 28 are in the ratio of: a) 2 : 3 b) 2 : 1 c) 3 : 1 d) 2 : 5 Correct Answer: B Solution Numbers, x= 14 and y = 28 HCF of (14, 28) HCF = 14 Now, LCM of (14, 28) 1412 = 28 LCM : HCF = 28 : 14 = 2 : 1 Incorrect Answer: B Solution Numbers, x= 14 and y = 28 HCF of (14, 28) HCF = 14 Now, LCM of (14, 28) 1412 = 28 LCM : HCF = 28 : 14 = 2 : 1
#### 2. Question
The LCM and the HCF of the numbers 14 and 28 are in the ratio of:
Numbers, x= 14 and y = 28
HCF of (14, 28)
LCM of (14, 28)
1412 = 28
LCM : HCF = 28 : 14 = 2 : 1
Numbers, x= 14 and y = 28
HCF of (14, 28)
LCM of (14, 28)
1412 = 28
LCM : HCF = 28 : 14 = 2 : 1
• Question 3 of 5 3. Question The HCF and LCM of two 2-digit numbers are 8 and 240 respectively. The numbers are a) (40, 48) b) (40, 96) c) (16, 40) d) None of the above Correct Answer: A Solution Let numbers are 8x and 8y. 8xy = 240 xy = 30 Possible pairs = (1, 30), (2, 15), (5, 6) Possible numbers = (8, 240), (16, 120), (40, 48) Answer = (40, 48) Incorrect Answer: A Solution Let numbers are 8x and 8y. 8xy = 240 xy = 30 Possible pairs = (1, 30), (2, 15), (5, 6) Possible numbers = (8, 240), (16, 120), (40, 48) Answer = (40, 48)
#### 3. Question
The HCF and LCM of two 2-digit numbers are 8 and 240 respectively. The numbers are
• a) (40, 48)
• b) (40, 96)
• c) (16, 40)
• d) None of the above
Let numbers are 8x and 8y.
Possible pairs = (1, 30), (2, 15), (5, 6)
Possible numbers = (8, 240), (16, 120), (40, 48)
Answer = (40, 48)
Let numbers are 8x and 8y.
Possible pairs = (1, 30), (2, 15), (5, 6)
Possible numbers = (8, 240), (16, 120), (40, 48)
Answer = (40, 48)
• Question 4 of 5 4. Question The LCM of two numbers is 3640 and their HCF is 78.if one of the number is 156, the other number is a) 1500 b) 1820 c) 2000 d) 2080 Correct Answer: B Solution LCMHCF = ab a = First number b = Second number 364078 = 156b b = 1820 Incorrect Answer: B Solution LCMHCF = ab a = First number b = Second number 364078 = 156b b = 1820
#### 4. Question
The LCM of two numbers is 3640 and their HCF is 78.if one of the number is 156, the other number is
LCMHCF = ab
a = First number
b = Second number
364078 = 156b
LCMHCF = ab
a = First number
b = Second number
364078 = 156b
• Question 5 of 5 5. Question If the product of two numbers is 2560 and their HCF is 16.The LCM of the numbers will be a) 90 b) 160 c) 178 d) 82 Correct Answer: B Solution LCMHCF = ab a = First number b = Second number LCM16 = 2560 LCM = 160 Incorrect Answer: B Solution LCMHCF = ab a = First number b = Second number LCM16 = 2560 LCM = 160
#### 5. Question
If the product of two numbers is 2560 and their HCF is 16.The LCM of the numbers will be
LCMHCF = ab
a = First number
b = Second number
LCM*16 = 2560
LCMHCF = ab
a = First number
b = Second number
LCM*16 = 2560
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