Question
The question consists of four statements: I, II, III and
IV given below it. You have to decide whether the data given in which of the following statements alone is sufficient to answer the question. I. The product of the digits of the two-digit number is 28. II. The difference between the digits of the two-digit numbers is 5. III. The sum of the digits of the two-digit numbers is 12. IV. The difference between two-digit number and 30 is 2.Solution
Let the 2-digit number be xy. Statement I: x × y = 28 So, it can be 7 × 4 or 4 × 7 So, data in statement I alone is not sufficient to answer the question. Statement II: x - y = 5 or y - x = 5 So, data in statement II alone is not sufficient to answer the question. Statement III: x + y = 12 So, data in statement III alone is not sufficient to answer the question. Statement IV: The number can be either 30 – 2 = 28 or 30 + 2 = 32 So, data in statement IV alone is not sufficient to answer the question.
Statements: B ≤ C < E; D ≤ F ≤ G; E = D; A > B
Conclusions:
(i) E ≥ G
(ii) A < E
(iii) B ≤ G
...Statements: O < D ≤ T; C ≥ X = U; Y < Z = C > D
Conclusions:
I. U ≤ Z
II. O ≤ C
III. Y < D
Statement: A≤T<B =C ≤P<D;D>J ≥S
I. C >S
II. J < D
Statements: L ≥ O = J ≥ I ≤ V; C = T ≤ J
Conclusion: I. C < L II. C = L
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is/are definitely true and then...
Statements: M ≤ N; O < R; O = N; S ≥ Q; N > S
Conclusions:
(i) Q < M
(ii) N ≥ Q
(iii) M > R
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