COMPREHENSION:
Direction : A, B, C, D and E are five different integer. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integer is equal to E.
The value of A is the least
Explanation
1. Sequential Order:
Based on the conditions A (least), D (greatest), and E < B < C, the ascending sequence is:
A < E < B < C < D
2. Arithmetic Progression (Common Difference = 8):
We can express all terms in relation to E:
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A=E−8
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E=E
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B=E+8
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C=E+16
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D=E+24
3. Equation for the Sum:
The sum of the integers is equal to E:
(E−8)+E+(E+8)+(E+16)+(E+24)=E
4. Solving for E:
5. Finding the Value of A:
Substitute E=−10 back into the expression for A:
Correct Answer: (B) -18
