1
GATE EE 2022
+1
-0.33

Given below are two statements and four conclusions drawn based on the statements.

Statement I : Some bottles are cups.

Statement II : All cups are knives.

Conclusion I : Some bottles are knives.

Conclusion II : Some knives are cups.

Conclusion III : All cups are bottles.

Conclusion IV : All knives are cups.

Which one of the following options can be logically inferred?

A
Only conclusion I and conclusion II are correct.
B
Only conclusion II and conclusion III are correct.
C
Only conclusion II and conclusion IV are correct.
D
Only conclusion III and conclusion IV are correct.
2
GATE EE 2022
+1
-0.33

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random. What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?

A
0
B
$${1 \over 3}$$
C
$${2 \over 3}$$
D
1
3
GATE EE 2022
+1
-0.33

Altruism is the human concern for the well being of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to empathy or guilt has now been rejected. Which one of the following is the CORRECT logical inference based on the information in the above passage?

A
Humans engage in altruism due to guilt but not empathy.
B
Humans engage in altruism due to empathy but not guilt.
C
Humans engage in altruism due to group identification but not empathy.
D
Humans engage in altruism due to empathy but not familiarity.
4
GATE EE 2022
+1
-0.33

There are two identical dice with a single letter on each of the faces. The following six letters : Q, R, S, T, U and V, one on each of the faces. Any of the six outcomes are equally likely.

The two dice are thrown once independently at random.

What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes : Q, U and V?

A
$${1 \over 4}$$
B
$${3 \over 4}$$
C
$${1 \over 6}$$
D
$${5 \over 36}$$
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