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A number when divided by 84 leaves a remainder of 57. What is the remainder when the same number is divided by 11?

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Important Questions on Number Systems

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 135
The numbers 511 and 667, when divided by the same number, leave the same remainder. How many numbers can be used as the divisor in order to make this occur?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 136
How many numbers between 200 and 400 are divisible by 13?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 137
A boy was trying to find 58th of a positive number. Unfortunately, he found out 85th of the number, and realised that the difference between the answer he got and the correct answer is 39. What was the number?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 138
The sum of two numbers is equal to thrice their difference. If the smaller of the numbers is 10, find the other number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 139
411+412+413+414+415 is divisible by which of the following?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 140
The product of two numbers is 7168, and their HCF is 16. How many pairs of numbers are possible such that the above conditions are satisfied?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 141
When 876 is added to another three-digit number 2P3, we get a four-digit number 10Q9, which is divisible by 11. The value of P-Q is _____.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 142
There is a 22-digit number which consists of only one digit – from 1, 2, 3, 4, 5, or 6. For example, 11111111......11, 22222222......22, ......, 66666666......66. Such a number is always divisible by _____.