Question
Find the greatest 4-digit number which is exactly
divisible by 12, 15 and 21.Solution
We need a multiple of LCM(12, 15, 21) that is ≤ 9999. Prime factors: 12 = 2² × 3 15 = 3 × 5 21 = 3 × 7 LCM = 2² × 3 × 5 × 7 = 4 × 3 × 5 × 7 = 420 Greatest 4-digit number = 9999 Check how many 420s fit in 9999: 9999 ÷ 420 ≈ 23.8 Largest integer ≤ 23.8 is 23 Required number = 420 × 23 = 9660
In a certain code, if '&' means 'add', '#' means 'multiply', '@' means 'divide' and 'S' means 'subtract'. Find the value of the following equation.Â
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DGK EHL FIM GJN?
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ZA_J B_BK DAB_ _ ABM HA_N
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After interchanging the first and last digits in each of the following numbers, identify the correct sequence of number in the ascending order.
(...
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Select the option that is related to the fourth term in the same way as the first term is related to the second term.
Song : Listener :: ? : Viewer