Consider the following statements: 1. The age of F <strong>CANNOT</strong> be determined due to insufficient data. 2. The average weight of D and F is equal to weight of E. 3. The weight difference is <strong>MAXIMUM</strong> for D and A. Which of the statements given above are <strong>CORRECT</strong>?
Consider the following for the next (05) items that follow : A, B, C, D, E, F and G are cousins. D is thrice as old as A. Further, C is as many years younger to B, as G to E and E to D. The average age of D and G is 16 years; the average age of A and E is 11 years; the average age of B and C is also 11 years. B and C have equal weight. A's weight is 10 kg less than that of B; D is 4 kg heavier than E; E is 4 kg heavier than F; F is 4 kg heavier than G. Further, D has age-weight ratio of 9: 20, where age is in years and weight in kg; A has age-weight ratio of 2: 5. Moreover, none of them is more than 40 kg.
- A. 1 and 2 only
- B. 2 and 3 only
- C. 1 and 3 only
- D. 1, 2 and 3 ✓
Correct Answer: D. 1, 2 and 3
Explanation
Statement 1 is true; there is no equation to find F's age. Statement 2 is true; (40+32)/2 = 36, which is E's weight. Statement 3 is true; D has the maximum weight (40) and A has the minimum (15), creating the maximum difference. Hence, all statements are correct.
Related questions on Algebra
- If p + q + r = 0, then what is z^{\frac{p^2}{qr}} \times z^{\frac{q^2}{rp}} \times z^{\frac{r^2}{pq}} equal to ?
- What is the value of k for which (k^2 - 5k + 4)x^2 + (k^2 - 3k - 4)x + (k^2 - 4k) = 0 is an identity ?
- If \frac{a^2}{b^2 + c^2} = \frac{b^2}{c^2 + a^2} = \frac{c^2}{a^2 + b^2}, then what is the value of a^4 + b^4 + c^4 equal to ?
- If \frac{1}{x} = \frac{1}{p} + \frac{1}{q}, then what is \frac{pq}{p^2 - q^2}\left(\frac{x + p}{x - p} - \frac{x + q}{x - q}\right) equa...
- If (x - 5) is the HCF of x^2 - x - p and x^2 - qx - 10, then what is the value of (p + q) ?