Question
A rectangular wheat field has an area of 1682 sq.metres
whereas its perimeter is 29 x 3 x 2 metres. If the length and breadth are positive integers, then find the perimeter. (It is known that a, b, c are positive integers.)Solution
The expression for the perimeter shows that the perimeter has the factors 29, 3, and 2 to some powers a, b, and c respectively. So, let us factoise the options: 174 = 2 × 3 × 29 58 = 2 × 29 116 = 2 × 2 × 29 87 = 3 × 29 From the above, we can see that only option 1 has all three as its factors. ∴ The perimeter of the field is 174 m.
Statements:
P < Q < R < S ≤ B < H; S > N ≥ Y
Conclusions:
I) P < Y
II) R ≥ N
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and the...
Statements: P ≥ Q ≥ R = S, Q ≥ T > U ≥ V
Conclusion:
I. P ≥ V
II. P > V
Statements: J < K; L = M; K >N ≥ L
Conclusions:
I. J < L
II. N = M
Statements: M = N ≤ P = C > G, D ≥ M > T = F
Conclusion:
I. D ≥ N
II. N > F
III. F < P
Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
Which of the following expression symbols should replace the question mark(?) in the given expressions to make the expression C ≥ E as well as D > M d...
Statement: M < N; L ≥ U; L ≥ Q; U > N ≥ T
Conclusion:
I. N > Q
II. Q > T
Statements: X < H = U ≤ I < N = M, M > B ≥ V
Conclusions:
I. I > V
II. U ≥ MStatement: D > C > U < K > E > N < A
Conclusion:
I. D > N
II. D > A
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