Subject
Quantitative Aptitude
Topic
Number
The sum of five consecutive even numbers of set-A is 400. What is the sum of another set-B of four consecutive numbers whose lowest number is 5 less than three-fourth’ s the lowest number of set-A?
The sum of five consecutive even numbers of set-A is 400. What is the sum of another set-B of four consecutive numbers whose lowest number is 5 less than three-fourth’ s the lowest number of set-A?
ক)
274খ)
214গ)
428ঘ)
107ঙ)
114Explanation
Let the 5 consecutive even numbers of set A = a, a+2, a+4, a+6, a+8 ∴ a + a+2 + a+4 + a+6 + a+8 = 400 (given) ⇒ 5a + 20 = 400 ⇒ 5a = 380 ⇒ a = 76 ---(1) Let the 4 consecutive numbers of Set B = b, b+1, b+2, b+3 Now, b = (3a/4) – 5 (given) ⇒ b = {76 × (3/4)} – 5 (from 1) ⇒ b = 57 – 5 ⇒ b = 52 ∴ the 4 numbers of set B = 52, 53, 54, 55. Thus, the sum of the 4 numbers of set B is 214Related questions
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