mathematical operation Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

Answer: (d)

a × b θ c is equivalent to a < b = c. Hence between a and b , we have a < b or a ≠ b or a > b

Further b = c implies that b and c are interchangeable.

Hence (a), (b) and (c) are not possible.

[Observe that (b) states b < a which means a > b which is not possible. Similarly in (c) b > a which means a < b which contradicts the hypothesis.]

(d) Is the correct answer which states that a ≠ b and b > c. Both statements are possible.

Answer: (c)

Hypothesis (stem of the question) states a ≠ b & b > c. Only relation not possible between a and b is that of equality.

Hence (a), (b), (c), (d) are all possible from the relation between a and b.

Coming to the second relation only (a) is possible. Hence (a) is the answer.

Answer: (a)

Note that in this question we have to determine which relation is not possible.

It is given that a > b > c.

Both relation in (a), (c) and (d) are possible. It is only (b) in which b = c is not true. Hence (b) is the answer.

[It should be noted that in case of negation of implication it is enough to show that just one relation is not possible.]

Answer: (c)

With the situations given,

a × b θ c mean a < b = c

From option (a), a Δ b Φ c means a > b ≠ c, this is not true.

From option (b), a + b θ c means a ≤ b = c, this is true.

From option (c), a Φ b θ c means a ≠ b = c, this is true

From option (d), b θ c □ a means b = c ≥ a, this is true

So, the answer is (a).

Answer: (a)

With the notations given, c + b × a means c ≤ b < a

From option (a), a × b θ c means a < b = c, this is not true .

From option (b), c Δ b Δ a means a > b > c, this is true.

From option (c), c × b × a means a < b < c, this is not true.

From option (d), b θ c Δ a means b = c > a, this is not true.