Number System
-  When a number is divided by 357 the remainder is 39. If that number is divided by 17, the remainder will be :
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                        View Hint View Answer Discuss in Forum Here, 357 is exactly divisible by 17. 
 ∴ Required remainder = Remainder obtained on dividing 39 by
 17Correct Option: CHere, 357 is exactly divisible by 17. 
 ∴ Required remainder = Remainder obtained on dividing 39 by
 17
 ⇒ 39 = ( 17 × 2 ) + 5
 Hence required answer is 5 .
-  A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively.
 When it is successively divided by 5 and 4 the respective remainders will be
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                        View Hint View Answer Discuss in Forum According to question , 
 The least number X in this case will be determined as follows:
 Y = 5 × 1 + 4 = 9 
 X = 4 × Y + 1 = 4 × 9 + 1 = 37
 Now,Correct Option: CAccording to question , 
 The least number X in this case will be determined as follows:
 Y = 5 × 1 + 4 = 9 
 X = 4 × Y + 1 = 4 × 9 + 1 = 37
 Now, 
 Hence, the respective remainders are 2, 3.
-  Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was 3042. The number of members present in the party was
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                        View Hint View Answer Discuss in Forum Let the required number of persons be N. 
 According to the question,
 2N2 = 3042Correct Option: ALet the required number of persons be N. 
 According to the question,
 2N2 = 3042⇒ N2 = 3042 = 1521 2 
 ⇒ N = √1521 = 39
 
-  In a division problem, the divisor is 4 times the quotient and 3 times the remainder. If remainder is 4, the dividend is
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                        View Hint View Answer Discuss in Forum Given , Remainder = 4 
 According to question ,
 Divisor = 3 × Remainder
 ⇒ Divisor = 3 × 4 = 12
 Again, divisor = 4 × quotient
 ⇒ 4 × quotient = 12Correct Option: BGiven , Remainder = 4 
 According to question ,
 Divisor = 3 × Remainder
 ⇒ Divisor = 3 × 4 = 12
 Again, divisor = 4 × quotient
 ⇒ 4 × quotient = 12⇒ Quotient = 12 = 3 4 
 ⇒ Dividend = 3 × 12 + 4 = 40
-  How many natural numbers divisible by 7 are there between 3 and 200 ?
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                        View Hint View Answer Discuss in Forum Number just greater than 3 which is divisible by 7 = 7 
 Number just smaller than 200
 which is divisible by 7 = 196
 Here, a = 7, an = 196,
 d = 7, n = 8Correct Option: BNumber just greater than 3 which is divisible by 7 = 7 
 Number just smaller than 200
 which is divisible by 7 = 196
 Here, a = 7, an = 196,
 d = 7, n = 8
 ∴ an = a + (n –1)d
 ⇒ 196 = 7 + (n – 1) × 7⇒ n − 1 = 196 − 7 = 27 7 
 ⇒ n = 27 + 1 = 28
 2nd method to solve this question
 We can find the answer after dividing 200 by 7.
 The quotient is our answer.
 
 
	