If 42.42 = $k 14 + m 50 $, where k and… | Answer

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Bank Exam

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Modhumoti Bank Ltd. - Probationary Officer - 2016

If 42.42 = $k\frac{{14 + m}}{{50}}$ , where k and m are positive integers and m < 50, then what is the value of k + m ?
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Explanation

Solution: দেয়া আছে, K এবং m উভয়ই ধনাত্মক পূর্ণ সংখ্যা বা Positive integers এবং m < 50 অর্থাৎ m এর মান অবশ্যই 50 এর ছোট হবে । এখন অংকটি সমাধানের জন্য আমরা K এর মান 1, 2, 3 ইত্যাদি ধরে m এর মান বের করব । যেখানে m এর মান 50 এর ছোট হবে সেখান থেকে আমরা k + m এর মান বের করবো । এখন k = 1 হলে 42.42 =

k(14 + \frac{m}{{50}})

সমীকরণে বসাই তাহলে, 42.42 = 14 +

\frac{m}{{50}}

=> 28.42 =

\frac{m}{{50}}

m = 28.42

\times

50 কিন্তু এক্ষেত্রে m < 50 নয় বলে বাদ । আবার, k = 2 হলে 42.42 =

2(14 + \frac{m}{{50}})

=> 21.21 = 14 +

\frac{m}{{50}}

=> 7.21 =

\frac{m}{{50}}

m = 50

\times

7.21 এখানেও m < 50 নয় বলে বাদ । এখন k = 3 হলে 42.42 =

3(14 + \frac{m}{{50}})

=> 14.14 = 14 +

\frac{m}{{50}}

=> 0.14 =

\frac{m}{{50}}

m = 50

\times

0.14 = 7 এখানে m এর মান 7 যেহেতু 50 ছোট, তাই m = 7 শর্তানুযায়ী গ্রহণযোগ্য k + m = 3 + 7 = 10

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If 42.42 = k14+m50k\frac{{14 + m}}{{50}}k5014+m​, where k and m are positive integers and m < 50, then what is the value of k + m ?Reading

If 42.42 = k14+m50k\frac{{14 + m}}{{50}}k5014+m​, where k and m are positive integers and m < 50, then what is the value of k + m ?

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If 42.42 = $k\frac{{14 + m}}{{50}}$ , where k and m are positive integers and m < 50, then what is the value of k + m ?
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If 42.42 = $k\frac{{14 + m}}{{50}}$ , where k and m are positive integers and m < 50, then what is the value of k + m ?