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Number & Arithmetic — practice questions, page 4

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The five-digit number 345xy is divisible by 80. The value of x + y is:A number gives remainders 2 and 3 when divided successively by 5 and 4. What remainder does it…The greatest number that divides 1657 and 2037 leaving remainders 6 and 5 respectively is:The largest number that always divides the product of any four consecutive positive integers is:Arrange 5/8, 7/11 and 9/14 in ascending order.The smallest positive integer that leaves remainder 3 on division by 7 and remainder 4 on division…Without multiplying out, the value of 97² − 3² is:A number leaves remainder 3 when divided by 8, and the quotient so obtained leaves remainder 2…The greatest number that divides 43, 91 and 183 leaving the same remainder in each case is:Write the continued fraction 2 + 1/(3 + 1/(4 + 1/2)) as a single fraction.The recurring decimal 0.999… (the digit 9 repeating for ever) is exactly equal to:n is an odd integer. Which of these expressions is always odd?The least number which leaves remainders 5, 9 and 17 when divided by 12, 16 and 24 respectively is:The square of a whole number ends in the digit 6. The number itself must end in:How many whole numbers from 1 to 100 leave remainder 2 on division by 3 and remainder 3 on…In a two-digit number the tens digit and the units digit are in the ratio 2 : 3. Adding 27 to the…899 is the product of two prime numbers. They are:To compare 13/19 and 17/25 a student cross-multiplies and gets 13 × 25 = 325 and 17 × 19 = 323.…A number leaves remainder 19 when divided by 36. The remainder when the same number is divided by…The value of 2.444… (the digit 4 repeating) multiplied by 0.75 is:The least number which leaves remainder 2 when divided by 5, 6 or 8, and which is exactly…If 2^(x − 1) = (1/8)^(x + 1), then x equals:The product of two consecutive positive integers is 156. Their sum is:Which of these numbers can NOT be a perfect square?A number gives remainders 1 and 3 when divided successively by 3 and 5. If the same number is…

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