NIMCET 2024 Reasoning PYQ — COMPREHENSION: Direction : A, B, C, D and E are five different in… | Mathem Solvex | Mathem Solvex
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NIMCET 2024 — Reasoning PYQ
NIMCET | Reasoning | 2024
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 sum of the integers is
Choose the correct answer:
A.
None of these
B.
-10
(Correct Answer)
C.
-8
D.
-6
Correct Answer:
-10
Explanation
1. Establish the Order:
Based on the conditions:
A is the smallest and D is the largest.
B is greater than E but less than C (E < B < C).
The ascending order is:
A < E < B < C < D
2. Define the Integers:
Since they are in an Arithmetic Progression with a common difference of 8:
A=E−8
E=E
B=E+8
C=E+16
D=E+24
3. Set up the Equation:
The sum of all integers equals E:
(E−8)+E+(E+8)+(E+16)+(E+24)=E
4. Solve for E:
Summing the terms:
5E+40=E
4E=−40
E=−10
5. Final Value:
Since the problem states the Sum = E, the sum is:
Sum=−10
Correct Answer: (A) -10
Explanation
1. Establish the Order:
Based on the conditions:
A is the smallest and D is the largest.
B is greater than E but less than C (E < B < C).
The ascending order is:
A < E < B < C < D
2. Define the Integers:
Since they are in an Arithmetic Progression with a common difference of 8:
