Number System
-  A number, when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be
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                        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: DIf 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
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                        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: CLet 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 ?
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                        View Hint View Answer Discuss in Forum Here, the first divisor (221) is a multiple of second divisor (13) Correct Option: DHere, 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 ?
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                        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: DIf 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 ?
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                        View Hint View Answer Discuss in Forum Here, the first divisor (36) is exactly divisible by the second divisor (12). Correct Option: AHere, 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
 
	