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Posted by Indav Singhal 5 years, 5 months ago
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Posted by Hema Kotha 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
a) (+56)+(-14)+(+34)+(-73)
= 56 -14 + 34 - 73
= 56 + 34 -14 -73
= 90 - 87
= 3
b) (-48)+(+12)+(-27)+(+28
= -48 + 12 -27 +28
= -48 -27 + 12 + 28
= - 75 + 40
= -35
Posted by Hemalatha .P 5 years, 5 months ago
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Posted by Saumya Soni 5 years, 5 months ago
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Gaurav Seth 5 years, 5 months ago
We need to find the LCM of 45, 50 and 75 in order to find the length of a rope that can be measured by the full length of each of the three rods.
Now,
45 = 3 × 3 × 5
50 = 2 × 5 × 5
75 = 3 × 5 × 5
So,LCM (45, 50, 75)
= 2 × 3 × 3 × 5 × 5
= 450
Therefore, the required length of the rope be 450 cm
Posted by Saumya Soni 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
The electronic device makes a beep together after every 15 minutes another device makes a beep after every 20 minutes
LCM is the minimum number that is divisible by both the numbers,
So, the minimum common time after they will beep is the LCM of 15 and 20
Factors of 15 =
Factors of 20 =
LCM of 15 and 20 is 60
So they will beep after 60 min =1 hour, hence it will again ring at 7 am.
Posted by Neetu Rajpal 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
1 dozen banana cost rs-48.
SO, cost of 1 banana = 48/12 = 4 rs
Number of bananas purchased in rs 2056 = 2056/4 = 514
Total dozen bananas can be purchased in rs- 1056 = 514 /12 = 42.83 dozen
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Raja Yadav 5 years, 5 months ago
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Garima Mohal 5 years, 5 months ago
Ishit Chaturvedi 5 years, 5 months ago
Yogita Ingle 5 years, 5 months ago
Let the number is n
Then the successor of the number = n+1
and the predecessor of the number = n−1
Difference =n+1−(n−1)
=n+1−n+1
=2
Posted by Divyansh Indora 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
Divisibility by 4
If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely.
Example: Take the number 2308. Consider the last two digits i.e. 08. As 08 is divisible by 4, the original number 2308 is also divisible by 4.
Divisibility by 6
Numbers which are divisible by both 2 and 3 are divisible by 6. That is, if last digit of the given number is even and the sum of its digits is a multiple of 3, then the given number is also a multiple of 6.
Example: 630, the number is divisible by 2 as the last digit is 0.
The sum of digits is 6+3+0 = 9, which is also divisible by 3.
Divisibility by 8
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.
Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.
Divisibility Rules for 11
If the difference of the sum of alternative digits of a number is divisible by 11 then that number is divisible by 11 completely.
In order to check whether a number like 2143 is divisible by 11 following is the procedure.
- Group the alternative digits i.e. digits which are in odd places together and digits in even places together. Here 24 and 13 are two groups.
- Take the sum of the digits of each group i.e. 2+4=6 and 1+3= 4
- Now find the difference of the sums; 6-4=2
- If the difference is divisible by 11, then the original number is also divisible by 11. Here 2 is the difference which is not divisible by 11.
- Therefore, 2143 is not divisible by 11.
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Ishit Chaturvedi 5 years, 5 months ago
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