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Q64
(CAPF/2025)
Miscellaneous & General Knowledge › Important Days, Places & Events › Algebra and sequences
Answer Verified
If $a/b=2$, $b/c=3$, $c/d=4$, $d/e=3$, $e/f=2$ and $f/g=1\cdot5$, what is the value of $\frac{a+b+c}{e-f+g}$?
Result
Your answer:
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·
Correct:
A
Explanation
To solve this, work backwards by assigning a convenient value to the last variable, g. Let g = 2. Using the given ratios:
f = 1.5 × 2 = 3
e = 2 × 3 = 6
d = 3 × 6 = 18
c = 4 × 18 = 72
b = 3 × 72 = 216
a = 2 × 216 = 432
Now, substitute these values into the target expression:
Numerator (a + b + c) = 432 + 216 + 72 = 720
Denominator (e - f + g) = 6 - 3 + 2 = 5
Result = 720 / 5 = 144.
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