## Saturday, 29 April 2017

### REASONING QUIZ

Directions (Q. 1-5): In each question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
a)   Only conclusion I is true.
b)   Only conclusion II is true.
c)   Neither conclusion I nor II is true.
d)   Both conclusion I and II are true.
e)   Either conclusion I or II is true.

1). Statements:   Some tasks are hurdles.
All hurdles are jobs.
Some jobs are works.
Conclusions:
I. All works being hurdles is a possibility,
II.  At least some works are tasks.

2). Statements:   Some tasks are hurdles.
All hurdles are jobs.
Some jobs are works.
Conclusions:

3). Statements:   Some problems are solutions.
No solution is a trick.
All rules are tricks.
Conclusions:
I. No rule is a solution.
II. Some problems are definitely tricks.

4). Statements:   All ministers are deans.
Conclusions:
I. No principal is a minister.
II. All heads being ministers is a possibility.

5). Statements:   No queue is a line.
Some queues are rows.
Conclusions:
I. No row is a line.
II. All rows are lines.

Directs (Q. 6-10): In each question, a relationship between different elements is shown in the statements.The statements are followed by two conclusions. Study the conclusion for the given statement and select the appropriate answer.
a)   Only conclusion I is true.
b)   Only conclusion II is true.
c)   Neither conclusion I nor II is true.
d)   Both conclusion I and II are true.
e)   Either conclusion I or II is true.
6). Statements: P < L ≤ A = N ≥ E ≥ D; Q ≥ N < O
Conclusions:
I. L ≤ E
II.P<Q

7). Statements: P ≤ U = N ≤ C ≥ H > S; K ≥ C
Conclusions:
I. P ≤ C
II. U > H

8). Statements: P < L ≤ A = N ≥ E ≥ D; Q ≥ N < O
Conclusions:
I. Q ≥ D
II.A < D

9). Statement: D ≥ I > S ≥ M ≤ A < L
Conclusions:
I. D ≥ A
II. L > I

10). Statements: P ≤ U = N ≤ C ≥ H; K ≥ C
Conclusions:
I. K> U
II. U=K

Explanation:

1). All hurdles are jobs (A) + Some jobs are works (I) = A + I = No conclusion. But the possibility in I exists. Hence conclusion I follows.
Again, Some tasks are hurdles (I) + All hurdles are jobs (A) = I + A = I = Some tasks are jobs (I) + Some jobs are works (I) = I + I = No conclusion.
Hence II does not follow.

2). Some tasks are hurdles (I) + All hurdles are jobs (A) = I + A = I = Some tasks are jobs (I) àconversion à Some jobs are tasks (I). Hence conclusion I follows. But conclusion II does not follow.

3). No solution is a trick (E) à conversion à No trick is a solution (E). Now, All rules are tricks (A) + No trick is a solution (E) = A + E = E = No rule is a solution (E). Hence conclusion I follows.
Again, Some problems are solutions (I) + No solution is a trick (E) = I + E = O = Some problems are not tricks (O). Hence conclusion II follows.

4). All ministers are deans (A) + Some deans are heads (I) = A + I = No conclusion. But the possibility in II exists. Hence conclusion II follows.
However, there is no negative statement. Thus the negative conclusion does not follow. Hence conclusion I does not follow.

5). Some queues are rows (I) àconversion à Some rows are queues (I) + No queue is a line (E) = I + E = O = Some rows are not lines. Hence neither conclusion I nor II follows.

6). Given statements:
P < L ≤ A = N ≥ E ≥ D    …(i)
Q ≥ N < O             …(ii)
From (i), We Can't compare L and E. Hence conclusion I (L ≤ E) is not true.
Now, combining (i) and (ii), we get P < L ≤ A = N ≤ Q
Thus, P < Q is true. Hence conclusion II is true.

7). Given statements:
P ≤ U = N ≤ C ≥ H > S    …(i)
K ≥ C                    …(ii)
From (i), P ≤ C is true. Hence conclusion I is true.
Again, from (i), we can't compare U and ,H. Hence II (U > H) is not true.

8). Given statements:
P < L ≤ A = N ≥ E ≥ D     …(i)
Q ≥ N < O           …(ii)
Thus, combining (i) and (ii), we get
Q ≥ N ≥ E ≥ D
Thus, Q ≥ D is true. Hence conclusion I is true.
Again, from (i), A ≥ D is true. But conclusion II (A < D) is not true.

9). Given statement:
D ≥ I > S ≥ M ≤ A < L
Thus, we can't compare D and A. Hence conclusion I (D ≥ A) is not true.
Again, we can't compare I and L. Hence conclusion II (L > I) is not true.