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29 Apr 2025, 10:01
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
66% (02:08) correct
34%
(02:35)
wrong
based on 123
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At a particular nature park, n guests are taken on safari in either vans or buses. If it would take 8 vans or 2 buses to take all the guests who visited the park in a particular week on safari, then 15 groups of n guests each will require 32 vans and how many buses?
A. 11
B. 16
C. 18
D. 22
E. 88
A. 11
B. 16
C. 18
D. 22
E. 88
29 Apr 2025, 11:36
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bhargavhhhhhhhh
When we have guests, each van takes \(\frac{n}{8}\) guests, and each bus take \(\frac{n}{2}\) guests.
Now, we have 15n guests, we need 32 vans, we know each van takes \(\frac{n}{8}\) guests, so 32 vans are taking \(32*\frac{n}{8}\) = 4n guests
Remaining 11n guests are taken in buses, and each bus takes \(\frac{n}{2}\) guests, so buses required = \(\frac{11n}{(n/2)}\) = 22
Answer D.
19 Feb 2026, 08:58
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Deconstructing the Question
For n guests:
\(8\text{ vans} = 2\text{ buses}\)
So:
\(4\text{ vans} = 1\text{ bus}\)
We scale up to 15 groups.
Step-by-step
Vans needed for 15 groups:
\(15\cdot8=120\)
Already have 32 vans.
Remaining capacity:
\(120-32=88\text{ vans equivalent}\)
Convert to buses:
\(\frac{88}{4}=22\)
Answer: 22
For n guests:
\(8\text{ vans} = 2\text{ buses}\)
So:
\(4\text{ vans} = 1\text{ bus}\)
We scale up to 15 groups.
Step-by-step
Vans needed for 15 groups:
\(15\cdot8=120\)
Already have 32 vans.
Remaining capacity:
\(120-32=88\text{ vans equivalent}\)
Convert to buses:
\(\frac{88}{4}=22\)
Answer: 22
