Question
A farmer has a rectangular field. The length of the
field is 20 meters more than twice its width. The area of the field is 150 square meters. What are the length and width of the field?Solution
Let the width of the field be x meters. Then, the length of the field is 2x + 20 meters. Area of the field = Length * Width 150 = (2x + 20) * x 150 = 2x² + 20x Rearranging the equation: 2x² + 20x - 150 = 0 Dividing through by 2: x² + 10x - 75 = 0 Solving the quadratic equation: x = [-10 ± √(10² - 4 * 1 * -75)] / 2 x = [-10 ± √(100 + 300)] / 2 x = [-10 ± √400] / 2 x = [-10 ± 20] / 2 Taking the positive root: x = (20 - 10) / 2 = 5 meters length = 2*5 + 20 = 30 meter Answer: d) Length = 30 meters, Width = 5 meters
Which of the following symbols should replace the sign (@) respectively in the given expression in order to make the expression Y ≥ Z and D > K defin...
Statements: X = P ≥ M; M > M > I > L; P < L < G
Conclusions:
I. G > I
II. X ≥ L
III. L < L
Statement: J ≥ K ≥ L = M ≤ N = O
Conclusions:
I. J > N
II. L ≤ OStatements: M * T, D % T, D # K, K $ R
Conclusions: I. M * DÂ Â Â Â Â II. T # KÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II...
Which of the following symbols should be placed in the blank spaces (_) respectively (in the same order from left to right) to complete the given expres...
Statements: J ≥ Q, L > S, L ≥ Q, K = J < N
Conclusion:
I. L > J
II. N > Q
Statement: I ≤ S, S < X, X = F, F ≤ K
Conclusion: I. K > I II. I < X
In the question, assume the given statements to be true. Find which of the following conclusion(s) among the three conclusions is/ are definitely true ...
Three statements, showing relationship between different elements, are followed by three conclusions (I). (II) and (III). Assuming the statements to be ...
Statements: P > Q ≥ R < S < U > V > T > W > X > Y
Conclusion:
I. Q > T
II. Q ≤ T
