Inequality in Reasoning

Inequality in Reasoning refers to a statement that compares two values, expressing that one value is less than, greater than, less than or equal to, or greater than or equal to the other value. The inequality symbols used in mathematics are:

  • “<” (less than)
  • “>” (greater than)
  • “<=” (less than or equal to)
  • “>=” (greater than or equal to)

For example, the inequality “x < y” means that the value of x is less than the value of y, while the inequality “a >= b” means that the value of a is greater than or equal to the value of b.

Inequalities are commonly used in algebra, geometry, calculus, and other areas of mathematics to describe relationships between numbers, variables, functions, and geometric shapes. They are also used in mathematical modeling to represent real-world situations where quantities may be different or vary over time. (Inequality In Reasoning)

Inequality MCQs

Que 1: Statements: R>I=N>P, Y≥R>K, N≤E<Z

Conclusions: (i) K>I, (ii) I<Z

  1. Only (ii) follows
  2. Only (i) follows
  3. Both (i) and (ii) follow
  4. Neither (i) nor (ii) follow
  5. Either (i) or (ii) follow

Solution: Z>E≥

                     R>I & N >P

                Y≥   >K

Option(A): Only (ii) follows (Inequality In Reasoning)

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Que 2: T>K>Y, J≤K=G, I>C≥G, M≤I<N

Conclusions: (i) N>K, (ii) C≤T, (iii) M<J

  1. Both (ii) and (iii) follow
  2. Either (i) or (ii) follow
  3. Only (i) follows
  4. Only (ii) follows
  5. None follows

Solution:          ≥M

                    N>I>C≥G & K>Y

                            T>          ≥J

Option(C): Only (i) follows (Inequality In Reasoning)

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Que 3: B≥P=M, X>B<T, Y=H≤X, R>Y>N

Conclusions: (i) P>H, (ii) P=H, (iii) R>X

  1. Both (i) and (iii) follow
  2. Either (i) or (iii) follow
  3. Only (ii) follows
  4. All conclusions follow
  5. None of the conclusions follow

Solution: R>Y & H>N

                 X≥

                   >B≥P & M

                 T>

Option(E): None of the conclusions follow

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Que 4: C<H=J, X≤Y<J, N>X≥Z

Conclusions: (i) Y>Z, (ii) Y=Z

  1. Both (i) and (ii) follow
  2. Either (i) or (ii) follow
  3. Only (i) follows
  4. Only (ii) follows
  5. Neither (i) nor (ii) follows.

Solution:   H & J>C

                           >Y≥X≥Z

                             N>

Option(B): Either (i) or (ii) follow

Note: The solutions for the above four questions are given in this demo video.

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Rajnikant Mishra

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