Practice Questions Chat

Yes

Yes

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D ?

D ?

D

D

D

D

b

Is the answer not B?

Is the answer not B?

Problem Solving Butler: May 2025
May 26	PS 1	PS 2

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PS 1

The only items in a container A are 150 pencils and 725 pens. The ratio of the number of pencils to the number of pens in container B is 2 to 3. If all the pencils and pens in container B are placed in container A, then the ratio of the number of pencils to the number of pens in container A would be 3 to 5. What is the total number of pencils and pens in both container A and container B?

A) 5,600
B) 6,725
C) 7,125
D) 7,275
E) 8,000
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PS 2

A gumball machine contains 21 gumballs, of which 8 are red, 7 are blue, and 6 are green. If a child buys 4 gumballs from the machine, what is the probability that the gumballs will all be of the same color?

A. 2/399
B. 4/399
C. 8/399
D. 11/399
E. 13/399

Critical Reasoning Butler: May 2025
May 26	CR 1	CR 2

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CR 1

It appears that the residents of Clarktown are becoming more and more health conscious these days. The sale of fitness equipment such as treadmills and cycling machines has increased by more than 300% in Clarktown over the last one year.

Which of the following, if true, casts the most serious doubt on the conclusion drawn above?

(A) Due to a change in the sales tax structure last year, fitness equipment costs up to 30% less in Clarktown than in its neighbouring towns.

(B) The sale of health magazines has increased appreciably in Clarktown over the past one year.

(C) Nutritionists in Clarktown have reported a sharp increase in the cases of obesity that have been reported in Clarktown over the past year.

(D) The range of fitness equipment available at Clarktown is very limited and some advanced machines are not available at all.

(E) Two athletes, both of whom won gold medals at the Olympics three years ago, are residents of Clarktown.
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CR 2

A study of more than 5,000 people showed that those who lived at high latitudes, where UV exposure is minimal, had higher cancer rates than did those who lived near the equator, where UV exposure is, on average, far greater. One of the effects of UV radiation on humans is that it stimulates vitamin D manufacture in exposed skin. These results are consistent with other studies demonstrating that cancer patients often have lower than average vitamin D levels. Therefore, high blood levels of vitamin D reduce the risk of cancer in humans.

The answer to which of the following questions would be most useful to know in order to evaluate the validity of the argument’s conclusion?

(A) Does seasonal affective disorder, experienced more frequently by those living at high latitudes than by those living at the equator, predispose its sufferers to cancer?

(B) Do high blood levels of vitamin D reduce the incidence of the common cold?

(C) Can blood levels of vitamin D be raised through supplementation, thus reducing the risk of sunburn due to UV
exposure?

(D) Does exposure to UV radiation prevent cancer in other mammals, such as laboratory rats?

(E) Are wintertime low vitamin D levels responsible for the flu season phenomenon?

Data Sufficiency Butler: May 2025
May 26	DS 1	DS 2

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DS 1

A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.

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DS 2

If a marble is selected at random from a bag containing only red and black marbles, what is the probability that the marble will be red?

(1) There are 9 marbles in the bag.
(2) There are 3 red marbles in the bag.

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