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30 Jul 2026, 08:00
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July 30th DI Question of the Day
Answer and Explanation | Subscribe via E-mail, Forum, Instagram, or YouTube
July 30th Verbal Question of the Day
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Answer and Explanation | Subscribe via E-mail, Forum, Instagram, or YouTube
July 30th Verbal Question of the Day
Answer and Explanation | Subscribe via E-mail, Forum, Instagram, or YouTube
30 Jul 2026, 22:09
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| Problem Solving Butler: July 2026 | ||
| July 31 | PS 1 | PS 2 |
_______________________
PS 1
Fred and George were contesting an election that is held on a Sunday from 9am to 5pm. The ratio of the votes given to Fred and George till 2pm, was in the ratio 3: 4. There were still 300 voters left to vote. If all the remaining voters voted for Fred by 5pm, then the ratio of votes given to Fred and George would become 9: 8. Find out how many votes were given to both Fred and George after everyone had voted.
A. 1700
B. 2400
C. 3800
D. 4200
E. 4500
_______________________
PS 2
If x > 0, What is the least possible value of \(-2√(5x) + x + 9\) ?
A. 0
B. 1
C. √5
D. 4
E. 9
30 Jul 2026, 22:12
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| Critical Reasoning Butler: July 2026 | ||
| July 31 | CR 1 | CR 2 |
________________________
CR 1
The government of Country X recently enacted legislation that eliminated property tax credits for homeowners who purchase solar water heaters. Due to this change, solar water heater sales in Country X, which have tripled over the past three years, will likely slow drastically within the next two years.
Which of the following statements, if true, most weakens the conclusion reached above?
A. The majority of homeowners in Country X do not own a solar water heater.
B. Home energy prices are not expected to change over the next two years.
C. Solar water heaters are known to have less heating capacity than traditional water heaters.
D. Most consumers in Country X who purchased solar water heaters over the last three years were unaware of the tax credit.
E. Economic research has found that solar water heaters are more expensive to keep up and replace than are traditional water heaters.
________________________
CR 2
In a survey of undergraduates, two-fifths admitted to having cheated on an exam at least once during their education. However, the survey may underestimate the proportion of undergraduates who have cheated, because ____________.
Which of the following best completes the passage above?
(A) some undergraduates who have cheated at least once might have claimed on the survey never to have cheated
(B) some undergraduates who have never cheated might have claimed on the survey to have cheated
(C) some undergraduates who claimed on the survey to have cheated at least once may have cheated on multiple occasions throughout their education
(D) some undergraduates who claimed on the survey to have cheated at least once may have been answering honestly
(E) some students who are not undergraduates have probably cheated at least once during their education
