__Reasoning Ability Coded – Inequalities Practice Questions (11 – 09 – 2017)__**Directions (1 – 5): In the following questions, the symbols $, @, £, • and # are used with the following meanings as illustrated below:**

**‘A $ B' means A is neither greater nor smaller than B**

**‘A @ B' means A is neither greater than nor equal to B**

**`A £ B' means A is neither smaller than nor equal to B**

**‘A • B' means A is not smaller than B**

In each of
the following questions, assuming the given statements to be true, find out
which of the two conclusions I and II given below them is/are definitely true.
Give answer

a) if only conclusion I is true.

b) if only conclusion II is true.

c) if either conclusion I or II is true.

d) if neither conclusion I nor II is
true.

e) if both conclusions I and II are
true.

**1. Statements:**W • P, P £ G, G @ I, I # N

**2. Statements:**U @ D, D $ E, E £ Y, Y • W

**Conclusions:**I. W @ E II. D £ W

**3. Statements:**Z £ N, N # K, K $ M, M @ R

**Conclusions:**I. M $ N II. M £ N

**4. Statements:**V • D, D £ T, K $ T, K # F

**Conclusions:**I. D £ K II. T • F

**5. Statements:**S $ Q, Q @ B, B • K, K # W

**Conclusions:**I. K # S II. S @ W

**Directions (6 – 10): In the following questions the symbols @, +, ©, $, ∆ and ? are used with the following meaning:**

**P ∆ Q means P is not equal to Q.**

**P @ Q means P is greater than Q.**

**P + Q means P is smaller than Q.**

**P © Q means P is either greater than or equal to Q.**

**P $ Q means P is either smaller than or equal to Q.**

**P ? Q means P is equal to Q.**

Now in each
of the following questions assuming the given statements to be true, ﬁnd which
of the two conclusions I and ll given below them is/are deﬁnitely true. Give
answer

a) if only conclusion I is true.

b) if only conclusion II is true.

c) if either conclusion l or ll is true. .

d) if neither conclusion I nor ll is true.

e) if both conclusions I and ll are true.

**6. Statements:**K © M, M ∆ R, R ? T

**Conclusions:**I. K © T II. M ? T

**7**. S

**tatements:**B+D, D@N, N$H

**Conclusions:**I.H©D II H©N

**8. Statements:**M©K, K@P, P$N

**Conclusions:**I. M@N II.M?N

**9. Statements:**T$M, M?Q, Q+R

**Conclusions:**I. Q @ T II.Q ? T

**10. Statements:**D @ B, B$T, T + M

**Conclusions:**I.M@B II.T©B

**Directions (11 – 15): In the following questions, the symbols @, $, %, # and © are used with the following meanings illustrated—**

**(i) ‘X @ Y’ means ‘X is not smaller than Y’.**

**(ii) ‘X $ Y’ means ‘X is not greater than Y’.**

**(iii) ‘X % Y’ means ‘X is neither smaller than nor equal to Y’.**

**(iv) ‘X # Y’ means ‘X is neither greater than nor equal to Y’.**

**(v) ‘X © Y’ means ‘X is neither smaller than nor greater than Y’.**

In each of
the following questions assuming the given statements to be true, find out
which of the two conclusions I and II given below them is/are definitely true.
Give answer

a) If only I is true.

b) If only II is true.

c) If either I or II is true

d) If neither I nor II is true.

e) If both I and II are true.

**11. Statements:**P $ T, T @ L, U % L

**Conclusions:**I. P @ L II. U©L

**12. Statements:**A @B, B%D, D©K

**Conclusions:**I. A©K II. B%K

**13. Statements:**J # K, K©L, P$L

**Conclusions:**I. P$K II. J#L

**14. Statements:**T % O, T # M, M@ V

**Conclusions:**I. M % T II. O % V

**15. Statements:**K @ T, T # C, C $ P

**Conclusions:**I. C © K II. C % K

**Solutions:**

**(1-5):**

> → £; ≥
→ ∙; = → $; @ → <; # → ≤

**1. d)**

**Statement**-W≥P>G<I≤N

**Conclusion**- I>P, N≤W

**2. e)**

**Statement-**U<D=E>Y≥W

**Conclusion-**W<E, D>W

**3. c)**

**Statement-**Z>N≤K=M<R

**Conclusion-**M=N, M>N

**4. a)**

**Statement-**V≥D>T=K≤F

**Conclusion-**D>K, T≥F

**5. d)**

**Statement**- S=Q<B≥K≤W

**Conclusion-**K≤S, S<W

**(6 – 10):**

∆----
≠; @---- >; + ---- <; © ---- ≥; $
----- ≤; ? ------ =

**6. d)**

**Statement-**K≥M≠R=T

**Conclusion-**K≥T, M=T

**7. b)**

**Statement**- B<D>N≤H

**Conclusion-**H≥D, H≥N

**8. d)**

**Statement-**M≥K>P≤N

**Conclusion-**M>N, M=N

**9. c)**

**Statement**- T≤M=Q<R

**Conclusion**- Q>T, Q=T

**10. e)**

**Statement**-D>B≤T<M

**Conclusion-**M>B, T≥B

**(11 – 15):**

>---%; ≥---@;
=---©; <---#; ≤---$

**11. d)**

**Statement**-P≤T≥L<U

**Conclusion-**P≥L, U=L

**12. b)**

**Statement**- A≥B>D=K

**Conclusion-**A=K, B>K

**13. e)**

**Statement**- J<K=L≥P

**Conclusion-**P≤K, J<L

**14. a)**

**Statement**- V≤M>T>O

**Conclusion**-M>T,O>V

**15. d)**

**Statement-**K≥T<C≤P

**Conclusion-**C=K, C>K