Reasoning Quiz

Q1)-Statements: A ≥ B; C = B; E > F; A ≤ D; B ≥ F
Conclusions:
I. C < E
II. D ≥ B
III. A ≥ F
IV. E > D

Only II is true

Only III is true

II and III are true

I and II are true

Ans.- C
Statements: A ≥ B; C = B; E > F; A ≤ D; B ≥ F
.’. D >= A >= B = C >= F < E
Conclusions:
I. C < E : FALSE : There is no relation between C and E.
II. D ≥ B : TRUE : Since, D >= A and A >= B. So, D >= B is true.
III. A ≥ F : TRUE : Since, A>= B and B >= F. So, A >= F is true.
IV. E > D : FALSE : There is no relation between D and E.

Q2)-Statements: T>O; S>R; S≤O; R≤F; U≤F
Conclusions:
I. T>S
II. O>R
III. F≥U
IV. O≤U

Only I, II and III are true

Only II is true

Only I, II and IV are true

Neither I nor II is true

Ans.- A
Statements: T>O; S>R; S≤O; R≤F; U≤F
.’. T > O >= S > R <= F >= U
Conclusions:
I. T > S : TRUE : Since, T > O and O >= S. So, T > S is true.
II. O > R: TRUE : Since, O >= S and S > R. So, O > R is true.
III. F ≥ U : TRUE :
IV. O ≤ U : FALSE : There is no relation between O and U.

Q3)-Statements:
W≤T=U≤V, X=Y Conclusions:
I.U≤Y
II.U>Y

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Ans.- C
Statements:
W≤T=U≤V, X=Y .’. W ≤ T = U ≤ V > X = Y
Conclusions:
I.U ≤ Y
II.U > Y
Since, there is no relation between U and Y. But, conclusions I and II show all possible relation that could be between U and Y. Hence, either I or II is true.

Q4)-Statements:
J≥K>H=I, M=N≥J
Conclusions:
I.M≥I
II.J≥I

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Ans.- D
Statements:
J ≥ K > H = I, M = N ≥ J
.’. N = M >= J ≥ K > H = I
Conclusions:
I.M ≥ I : FALSE : Since, M >= K and K > I. So, M >I is true and M >= I is false.
II.J ≥ I : FALSE : Since, J ≥ K and K > I. So, J > I is true and J >= I is false.

Q5)-Statements:
M=K Conclusions:
I.M≤O
II.M>O

Only I is true

Only II is true

Either I or II true

Neither I nor II is true

Ans.- D
Statements:
M = K < N ≥ P, O ≥ N
Conclusions:
I.M ≤ O : FALSE: Since, O >= N and N > M. So, O > M is true and M ≤ O is false.
II.M > O : FALSE : Since, O >= N and N > M. So, O > M is true and M > O is false.

Q6)-Which of the following expression is definitely true in the following expression?
P>= A < E >= Q = R > S

P>E

E

E>S

A>S

Ans.- C
Going through options:
(a) P > E : FALSE: No relation between P and E.
(b) E < R : FALSE: Since, E >= Q = R. So, E < R is false.
(c) E > S : TRUE: Since, E >= Q and Q > S. So, E > S is true.
(d) A > S : FALSE: No relation between A and S.

Q7)-Statements: Q ≥ P; R = S; U < T; Q< R; Q< V; S ≥ T
Conclusions:
I. S < U
II. P > R
III. T < V
IV. P < R

Only I is true

Only III is true

None is true

Only IV is true

Ans.- D
Statements: Q ≥ P; R = S; U < T; Q< R; Q< V; S ≥ T
.’. P <= Q < R = S >= T > U and Q < V
Conclusions:
I. S < U : FALSE : Since, S >= T and T > U. So, S > U is true.
II. P > R : FALSE : Since, R >Q and Q >= P. So, R > P is true.
III. T < V : FALSE : There is no relation between T and V.
IV. P < R : TRUE : R > Q and Q>= P. So, R > P is true.

Q8)-What should come in place of blank spaces to make A >C and C A_B_C_D.

>=, >, =

>=, <, =

>=,>, <

=, >=, =

Ans.- C
Going through options: (a) >=, >, = : A >= B > C = D : Here, A > C but C = D.
(b) >=, <, = : A >= B < C = D : Here, no relation between A and C. Also, C = D.
(c) >=, >, < : A >= B > C < D : Here, A > C and C < D.
(d) =, >=, = : A = B >= C = D : Here, A>= C and C = D

Q9)-Which of the following should be placed in the blank spaces in order to complete the given expression such that A < P is always false.
_ <= _ < _ >_

PNCA

ALPC

PNAL

APLC

Ans.- C
Going through options:
(a) PNCA : P <= N < C > A : Here, there is no relation between A and P.
(b) ALPC : A <= L < P > C : Here, P > A is true.
(c) PNAL: P <= N < A > L : Here, A > P is true. So, P > A is false.
(d) APLC : A <= P < L > C : Here, either A = P or A < P is true.

Q10)-What should come in place of question mark to make R > T always true?
P = R > Q ? T < S

>

<

>=

both '>' and '>='

Ans.- D
P = R > Q ? T < S
Replacing '?' with '>' : P = R > Q > T < S : R > T is true.
Replacing '?' with '<' : P = R > Q < T < S : There is no relation between R and T.
Replacing '?' with '>=': P = R > Q >= T < S : R > T is true.
Replacing '?' with '=': P = R > Q = T < S : R > T is true.