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08 Jan 2026, 22:00
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90% (01:11) correct
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At the time of the last census, the number of military veterans was slightly greater than the number of conservatives. Military veterans have tripled in number since then, while conservatives have increased in number, but at a lower rate than have military veterans.
Which of the following must be true if the statements above are true?
A. There are now fewer military veterans than there are conservatives.
B. The ratio between military veterans and conservatives has increased since the last census.
C. The ratio between military veterans and conservatives has decreased since the last census.
D. Every conservative is also a military veteran.
E. The ratio between military veterans and conservatives has not changed since the last census.
Which of the following must be true if the statements above are true?
A. There are now fewer military veterans than there are conservatives.
B. The ratio between military veterans and conservatives has increased since the last census.
C. The ratio between military veterans and conservatives has decreased since the last census.
D. Every conservative is also a military veteran.
E. The ratio between military veterans and conservatives has not changed since the last census.
09 Jan 2026, 01:53
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ExpertsGlobal5
Let's say the ratio of military veterans / conservative at the time of the last census was M1/C1.
Now at present time we have M2 which is 3x M1, while C2 is bigger than C2 "but at a lower rate".
That means that the ratio M2/C2 must be bigger than M1/C1, meaning it has increased. -----> Answer B
09 Jan 2026, 03:41
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ExpertsGlobal5
Let’s take the number of military veterans to be m , and the number of conservatives to be c. As per the data of Last Census, the ratio of military veterans to conservatives = m:c.
It’s given that the value (m/c) is greater than 1. Moreover, m is slightly greater than c, or m and c are as close as possible.
(m/c) >1.
Now, the value of m has tripled , which is equal to 3m. And the rate of increase of c is lesser than the rate of increase of m.
So, rate of m increase = 3m-m = 2m. So, c increased by a value less than 2m.
Let’s take the increase as m for convenience.
m/c has now become (3m / c+m).
We need to find must be true option. We can put m=3, c=2 to solve the problem.
A. There are now fewer military veterans than there are conservatives.
This is definitely a false option. As m is tripled, the earlier ratio (m/c) being greater than 1 also increases as the numerator increased. Moreover, the increase of c is very much lower. The numerator increase is very much greater than denominator increase. Hence, Military veterans are not fewer than the conservatives.
B. The ratio between military veterans and conservatives has increased since the last census.
If we triple the numerator, then the fraction increases three folds. It, by increasing the denominator by m, means approximately we are doubling the denominator. So, the equation becomes (3/2) of the original fraction. This clearly shows a definite increase. Hence must be true.
C. The ratio between military veterans and conservatives has decreased since the last census.
With the numerator getting tripled and the denominator getting doubled, the final result is at least a slight increase from the original value. So there cannot be a decrease. Hence, wrong.
D. Every conservative is also a military veteran.
Out of scope option, eliminate.
E. The ratio between military veterans and conservatives has not changed since the last census.
This Contradicts the general fact mentioned in the question. As both numerator and denominator are not growing at the same rates for the fraction to be equal. Hence, Wrong.
Option B
