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Aptitude question. Answer

Ques. If a, b, c, d, e are five consecutive odd numbers, their average is a) 5(a + 4) b) abde/5 c) 5(a + b + c + d + e) d) a + 4

  • Shivangee
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8 Answers

  • d) (a+4)br /since a, b, c, d and e are consecutive odd numbers;br /let b=a+2;br / c=(a+4);br /d=(a+6);br /e=(a+8);br /let the average be=xbr /x=(a+b+c+d+e)/5;br /now by substituting values of b , c, d. e we getbr /x=(5*a+20)/5;br /x=5(a+4)/5br /x=(a+4);br / 

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  • The answer is D)a+4br /Given:br /     a,b,c,d,e are consecutive odd numbers br /which means br / b=a+2br /c=a+4br /d=a+6br /e=a+8br /Now their average avg=(a+b+c+d+e)/5;br /       avg=(a+a+2+a+4+a+6+a+8)/5;br /       avg=(5a+20)/5br /      avg=5(a+4)/5;br /     avg=a+4;

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  • A+4

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  • d

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  • d

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  • d

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  • strongThe numbers are a, b, c, d, e, fbr /As they are consecutive even integers they can be expressed as a, a+2, a+4, a+6, a+8./strongstrong /strongbr /strongAverage = sum of the integers / Total Number of integers/strongbr /strongA = (a + a+2 + a+4 + a+6 + a+8)/ 5br /A = (5a + 20)/ 5br /A = 5(a + 4)/ 5 = a+4/strongstrong /strongbr /strong2nd Part : same as above, as the difference between two consecutive odd integers are also 2./strongbr / br /Thus, answer is option (d) a+4

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