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How many multiples lie between 4 and 200 and 450​

Answer» <html><body><p><strong>Answer:</strong></p><p>60</p><p><strong>Step-by-step explanation:</strong></p><p>Let us consider the multiples of 4 which <a href="https://interviewquestions.tuteehub.com/tag/lie-1073081" style="font-weight:bold;" target="_blank" title="Click to know more about LIE">LIE</a> between 10 and 250.</p><p></p><p>12, 16, 20, 24, 28, 32, <a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a>,……….248.</p><p></p><p>It is an <a href="https://interviewquestions.tuteehub.com/tag/arithmetic-15417" style="font-weight:bold;" target="_blank" title="Click to know more about ARITHMETIC">ARITHMETIC</a> <a href="https://interviewquestions.tuteehub.com/tag/progression-1169049" style="font-weight:bold;" target="_blank" title="Click to know more about PROGRESSION">PROGRESSION</a>(AP), it is defined as a series of numbers in order in which the difference of any two consecutive numbers is a constant value.</p><p></p><p>Starting term (a) = 12</p><p></p><p>Difference (d) = 4</p><p></p><p>Let us consider the total number of terms be n, then</p><p></p><p>a + (n – 1)d =248</p><p></p><p>12 + (n – 1)4 = 248</p><p></p><p>12 + 4n – 4 = 248</p><p></p><p>12 + 4n – 4 – 248 = 0</p><p></p><p>4n – 240 = 0</p><p></p><p>4n = 240</p><p></p><p>n = 60</p><p></p><p>∴ There are 60 multiplies of 4 lies between 10 and 250.</p><p></p></body></html>


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