NIMCET 2024 — Reasoning PYQ

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Question

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 A and B is

Choose the correct answer:

Explanation

1. Determine the Sequence Order:

Given $D$ is the greatest and $A$ is the least.
Given $E < B < C$ .
Combining these, the ascending order is: $A, E, B, C, D$ .

2. Represent Integers in terms of $x$ :

Let $A = x$ . Since the common difference is $8$ :

$A = x$
$E = x + 8$
$B = x + 16$
$C = x + 24$
$D = x + 32$

3. Set up the Equation:

The sum of the integers equals $E$ :

A + E + B + C + D = E

x + (x + 8) + (x + 16) + (x + 24) + (x + 32) = x + 8

4. Solve for $x$ :

5x + 80 = x + 8

5x - x = 8 - 80

4x = -72

x = -18

5. Calculate the values of A and B:

$A = x = -18$
$B = x + 16 = -18 + 16 = -2$

6. Find the sum of A and B:

\text{Sum} = A + B

\text{Sum} = -18 + (-2)

\text{Sum} = -20

Final Answer:

The sum of A and B is $-20$ (Option D).