Number System
- A number, when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be
-
View Hint View Answer Discuss in Forum
If the first divisor be a multiple of the second divisor, then
Required remainder = remainder obtained by dividing the first remainder (36) by the second divisor (17)Correct Option: D
If the first divisor be a multiple of the second divisor, then
Required remainder = remainder obtained by dividing the first remainder (36) by the second divisor (17)
⇒ 36 = ( 17 × 2 ) + 2
Hence , Required remainder = 2
- Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be
-
View Hint View Answer Discuss in Forum
Let two numbers are P and Q.
According to question ,
First number (P) = 17p + 13
Second number (Q) = 17q + 11∴ P + Q = 17(p + q) + 13 + 11 17 17 17
Correct Option: C
Let two numbers are P and Q.
According to question ,
First number (P) = 17p + 13
Second number (Q) = 17q + 11∴ P + Q = 17(p + q) + 13 + 11 17 17 17
∴ Required remainder
= Remainder obtained on dividing
11 + 13 = 24
⇒ 24 = ( 17 × 1 ) + 7
Hence , Required remainder = 7
- A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13 ?
-
View Hint View Answer Discuss in Forum
Here, the first divisor (221) is a multiple of second divisor (13)
Correct Option: D
Here, the first divisor (221) is a multiple of second divisor (13)
Hence, required remainder = remainder obtained on dividing 64 by 13 = 12
- When ‘n’ is divisible by 5 the remainder is 2. What is the remainder when n2 is divided by 5 ?
-
View Hint View Answer Discuss in Forum
If n is divisible by 5 then remainder = 2.
Required remainder = Remainder obtained by dividing 22 by 5.Correct Option: D
If n is divisible by 5 then remainder = 2.
Required remainder = Remainder obtained by dividing 22 by 5.
Hence Remainder = 4
- When a number is divided by 36, the remainder is 19. What will be the remainder when the number is divided by 12 ?
-
View Hint View Answer Discuss in Forum
Here, the first divisor (36) is exactly divisible by the second divisor (12).
Correct Option: A
Here, the first divisor (36) is exactly divisible by the second divisor (12).
∴ Required remainder = Remainder obtained after 19 is divided by 12 ⇒ Required remainder = ( 19 × 1 ) + 7 , Where 7 is remainder .
Hence Required remainder = 7