Reasoning

Coded Inequality

50,000+ Questions

Previous Year Papers

Detailed Solutions

Hindi & English

MEDIUM

Statements: G $H, J#K, H*K Conclusions: I. H$ J II. J*H

If only conclusion I is true

If only conclusion II is true

If either I or II is true

If neither I nor II is true

Explanation

Statements: $G > H$ , $J \le K$ , $H = K$

Sequence: $G > H = K \ge J$
Conclusion I: $H > J$ (H $J) - We have$ H \ge J $, but$ H > J $is not definite. False. Conclusion II:$ J = H $(J*H) - We have$ H \ge J $, but$ J = H$ is not definite. False.
Therefore, neither I nor II is true.

MEDIUM

Statements: A ≥ B = C; B < D > F; D ≤ E
(ii) How many conclusions are there that are likely to be true?

Only I and II are true

Only I, II and III are true

Only III, IV and V are true

Only IV and V are true

Explanation

Conclusions I (A = C), II (B = F), III (D = E) are likely to be true.

MEDIUM

Statements: $A \ge M \ge D \ge H \le R \le Y < W$ Conclusions: I. $A > H$ II. $W > H$ III. $R < W$ IV. $M > Y$

Only I, II and III follow

Only II follows

Only I and II follow

Only I and either II or IV follow

Explanation

Statements: $A \ge M \ge D \ge H \le R \le Y < W$ . Conclusion I: $A > H$ (Since $A \ge M \ge D \ge H$ , this is true). Conclusion II: $W > H$ (Since $W > Y \ge R \ge H$ , therefore $W > H$ is true). Conclusion III: $R < W$ ( $W > Y \ge R$ , true). Thus, I and II follow.

MEDIUM

Film 'M.S Dhoni' is scheduled to project at & am. The duration of film to complete is ©© hr # min. Due to technical problem they projected the film 1 hr @@ min late. What is the time the film will complete?

&©

Explanation

Scheduled time for the film is &. Delay is 1 hour @@ minutes. Duration of the film is ©© hours # minutes. Total time = Scheduled Time + Delay + Duration.

MEDIUM

What will come in place of blank in following below such that both B * E and F # B are definitely true?
A @ B $C _ D @ E * F$ G
(A) @
(B) *
(C) #
(D) $
(E) None of these

Explanation

In the given series A @ B $C _ D @ E * F$ G, we need to place a symbol at C _ D such that BE (B<E) and F#B (F>=B) are true. If we place '' (B<C, C<D, D=E, E>F), the relations B*E and F#B are confirmed.

No credit card required

MEDIUM

Statements: $T + G, K @ P, M + T, P + M$ Conclusions: I. $K @ T$ II. $G + P$

If only conclusion I is true

If only conclusion II is true

If either conclusion I or II is true

If neither conclusion I nor II is true

Explanation

Directions 76-80: (1) @ = >, (2) + = $\ge$ , (3) # = <, (4) % = $\le$ , (5) $= =. Statements:$ T \ge G, K > P, M \ge T, P \ge M \implies K > P \ge M \ge T \ge G $. Conclusion I:$ K > T$ (True).

MEDIUM

Statements: F@H, M%H, M $R, G*M Conclusions: I. F$ R II. F@R III. H$G

(A) Only II and III follow

(B) Only II follows

(D) III and either I or II follow (E) None follows

Explanation

Equation: F > H, M ≤ H, M ≥ R, G = M
Meaning: G = M ≤ H < F, G ≥ R
Conclusion I: F $R (F ≥ R) -> F > H ≥ M ≥ R, so F > R. F ≥ R is true. Conclusion II: F@R (F > R) -> F > R is true. Conclusion III: H$ G (H ≥ G) -> H ≥ M = G, so H ≥ G is true.
Thus, II and III follow.

MEDIUM

Statements: $J c P, P ? N, J \pounds H$ Conclusions: I. $J c N$ II. $H @ P$

If only conclusion I is true

If only conclusion II is true

If either conclusion I or II is true

If neither conclusion I nor II is true

Explanation

Analysis: $J = P < N$ .

MEDIUM

Statements: Z@Y, Y#K, K%M, M@T
Conclusions: I. Z@M II. Y@T III. Z#K

(A) Only I follows

(B) Only II and III follow

(D) Only III follows (E) None follows

Explanation

Equation: Z > Y, Y < K, K ≤ M, M > T
Meaning: Z > Y < K ≤ M > T
Conclusion I: Z@M (Z > M) -> False
Conclusion II: Y@T (Y > T) -> Y < K ≤ M > T (No definite relation between Y and T) -> False
Conclusion III: Z#K (Z < K) -> False
None of the conclusions follow.

MEDIUM

Statement: $M<R>T>U\ge S$
Conclusions: I. $T>M$ II. $T<M$ III. $S<T$ IV. $S>T$

Only I and II follow

Only II and III follow

Only I and III follow

None follows

Explanation

I: $T>M$ [ $=, >$ ]
Hence the conclusion I follows.
II: $T<M$ [ $=, >$ ]
Hence the conclusion II does not follow.
III: $S<T$ [ $\le, <$ ]
Hence the conclusion III follows.
IV: $S>T$ [ $\le, <$ ]
Hence the conclusion IV does not follow.
$\therefore$ Only conclusion I and III follow.

Full Mock Tests

Take Full-Length Mock Tests

Test your complete preparation with timed mock tests. Get detailed analytics and compare scores with other aspirants.

Explore Test Series

MEDIUM

Which of the following makes C $ E or B % E definitely true?

A © B $ C @ D % E # F

A # B % C $ D @ E # F

A # B % C © D @ E # F

A @ B $ C © D # E # F

Explanation

We need C ≥ E or B ≤ E.
Option (D) A @ B $ C © D # E # F means A > B ≥ C = D < E < F.
(Explanation follows standard inequalities logic provided in exam keys for this specific problem type).

MEDIUM

Directions (81-85): 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
'A#B' means A is not greater 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

Statements: U@D, D$E, E%Y, Y&W
Conclusions: I. U@Y II. W%D

(A) if only conclusion I is true

(B) if only conclusion II is true

(D) if neither conclusion I nor II is true

Explanation

Analysis of statements:
U < D, D = E, E > Y, Y $\ge$ W
Thus, U < D = E > Y $\ge$ W
Conclusion I: U@Y (U < Y) -> U < D = E > Y. No definite relation. False.
Conclusion II: W%D (W > D) -> D > Y $\ge$ W. Hence D > W or W < D. W%D is false.
Therefore, neither I nor II is true.

MEDIUM

Ram daily leaves his office at '&%' PM, his brother has to arrive station at '£pm'. So Ram have to leave $ min before he leaves. Then at what time Ram have to leave his office today (PM)?

Explanation

Normal leaving time '&%' = 08:20 PM.
$ min before (6 mins before) = 08:14 PM.
None of the options correspond to 08:14, so (E) is the correct answer.

MEDIUM

Statements: U*V, X $W, U**W Conclusions: I. W$ V II. U**X

If only conclusion I is true

If only conclusion II is true

If either I or II is true

If neither I nor II is true

Explanation

Statements: $U = V$ , $X > W$ , $U < W$

Sequence: $V = U < W < X$
Conclusion I: $W > V$ (W $V) - Since$ W > U $and$ U=V $, thus$ W > V $is true. Conclusion II:$ U < X $(U**X) - Since$ U < W < X $, thus$ U < X$ is true.
Therefore, both conclusions are true.

MEDIUM

Directions(28-30): There are given some statements and three questions related to those are asked. Answer if: (A) Only I follows. (B) Only II follows. (C) Either I or II follows (D) None follows.
Statements: $A \ge B = C$ ; $E \le F = G$ ; $C > Z < D$
Conclusions: I. C = D II. C $eq$ D

Only I follows.

Only II follows.

Either I or II follows

None follows.

Explanation

Explanation: Conclusion II. "C $eq$ D" means Either "C > D" or "C < D".
Thus here all the three signs are present between C and D.
Hence Either I or II follows.

MEDIUM

Statements: M > N ≤ R; P ≤ N > U
Conclusions: I. M > U II. M > P III. R < U

Only I and III follow

Only I and II follow

Only III follows

None follows

Explanation

The relationship between M > N ≤ R and P ≤ N > U does not yield a definite conclusion due to conflicting families of signs. For M > U, M > N > U implies M > U follows. For M > P, M > N ≥ P implies M > P follows. For R < U, no direct relationship can be established.

MEDIUM

Which of the given symbols can be placed in blank spaces respectively (in the same order from left to right) such that all the expression A@B is definitely true and Either B$C or B#C is true? C_D_B_E_A

$, !, @, #

,

, #, %

!, !, %, %

, %,

Explanation

According to the question: A@B (A>B) must be definitely true, and (B$C or B#C) means B≤C. Therefore, the combined relationship A>B≤C must be satisfied. Placing the symbols from option (A) in the blanks satisfies these conditions.

MEDIUM

Statements: $N ? S, S @ P, P \pounds M$ Conclusions: I. $S @ M$ II. $P \pounds N$

If only conclusion I is true

If only conclusion II is true

If either conclusion I or II is true

If neither conclusion I nor II is true

Explanation

Directions 71-75: (1) @ = >, (2) A = $\ge$ (typo in book for $\ge$ ), (3) $\pounds$ = $eq$ , (4) ? = $\le$ , (5) $=$ \ge$. (Note: Symbols seem inconsistent, resolving based on context).

MEDIUM

Ritu needs to catch her flight from IGI terminal 3 scheduled to depart at '&$' PM. It will take 2 hour to reach airport from her flat. At what time she must leave to arrive the airport at least 100 minute before the schedule departure?

^% PM

%Rs. PM

#£ PM

£Rs. PM

Explanation

Departure time '&$' = 8:30 PM.
Required arrival time (100 mins before departure) = 8:30 PM - 1 hour 40 mins = 6:50 PM.
Travel time = 2 hours.
Leave time = 6:50 PM - 2:00 = 4:50 PM.
4 = '%', 50 mins = 10 ('Rs.') = '%Rs. PM'.

MEDIUM

Statement: $M = N \ge P$ ; $P = R \ge S$ ; $R > U$
Conclusions: I. $M > R$ II. $N = P$ III. $P > U$

Only I follows

All follow

Only II follows

None follows

Explanation

In the statement $M=N$ and $P=R$ is given. In conclusions I and II, an 'either or' case forms between M and R, and III is true. The correct answer would be 'Either I or II and III', which is not in the options (Option E: None of these).

Free Forever

Track Your Progress

You're Doing Great! 🎯

Unlimited PYQs Progress Tracking Mock Tests

✨ Free forever • No credit card • 2 sec signup with Google

Full Mock Tests

Take Full-Length Mock Tests

Test your complete preparation with timed mock tests. Get detailed analytics and compare scores with other aspirants.

Explore Test Series

All Chapters

Reasoning

Alphabetical Reasoning

Mathematical Operation

Direction and Distance

Statement - Arguments

37+ questions

Statement - Assumptions

50+ questions

Statement-Conclusions

50+ questions

Statement-Courses of Action

Mirror and Water Images

57+ questions

Paper Folding and Cutting

Figure Classification