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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Here, 357 is exactly divisible by 17.
∴ Required remainder = Remainder obtained on dividing 39 by
17Correct Option: C
Here, 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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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: C
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,
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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Let the required number of persons be N.
According to the question,
2N2 = 3042Correct Option: A
Let 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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Given , Remainder = 4
According to question ,
Divisor = 3 × Remainder
⇒ Divisor = 3 × 4 = 12
Again, divisor = 4 × quotient
⇒ 4 × quotient = 12Correct Option: B
Given , 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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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: B
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 = 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.