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RohanNewDelhi

shouldn’t the equation be y-z=6 ?

This question is discussed in detail here: https://gmatclub.com/forum/jorge-s-bank ... 22418.html Hope it helps.

P.S. OG solutions are generally not very helpful, so it is better to check the solutions posted in the corresponding GMAT Club topics.
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Problem Solving Butler: May 2026
May 27PS 1PS 2

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PS 1

In how many ways can 5 different balls be distributed among 3 children such that each child gets at least one ball?

A. 540
B. 360
C. 240
D. 180
E. 150
_______________________
PS 2

If |3 – x| < x + 5, which of the following must be true about x?

I. x > -2
II. x < 2
III. x > -1

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
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Critical Reasoning Butler: May 2026
May 27CR 1CR 2

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Insurance Agent: Unlike most of our competitors, People Care Insurance offers employee incentives based on customer satisfaction rather than on sales numbers, meaning our salespeople have no incentive to sell the most expensive coverage package and have every incentive to meet your unique needs. Thus, when you buy insurance from us, you can be sure that you are not paying for coverage that you do not need.

Which of the following would, if true, most weaken the insurance agent’s reasoning?

A. Some cheaper coverage packages actually offer better coverage than do the more expensive ones.
B. Salespeople with a financial incentive to make higher sales typically provide more attentive service than do other salespeople.
C. People Care Insurance does not sell any basic coverage packages.
D. People Care Insurance is often understaffed, making it difficult for clients to fully discuss their concerns and options.
E. Ancillary benefits that come with less expensive coverage packages can be worth nearly as much as the package itself.
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Which of the following most logically completes the argument below?

The atmosphere exerts less pressure as altitude rises above sea level. Since the boiling point of all liquids decreases alongside air pressure, those who have scaled Everest have reported that water boils very quickly at the peak. The boiling point of water at any given pressure can be determined and the pressure for any altitude can be mathematically calculated. Therefore, physicists can determine the boiling point of water at the summit of Everest, since _______.

A. air pressure at sea level is higher than air pressure above sea level
B. air currents sometimes carry pressure from lower points in the atmosphere to higher points
C. the exact height of the summit is known
D. air pressure cannot be directly measured anywhere in the atmosphere
E. the boiling point of water is higher at sea level than it is above sea level
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Data Sufficiency Butler: May 2026
May 27DS 1DS 2

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DS 1

At a community center’s weekend open house, 360 registered visitors had access to two optional sessions: a gardening workshop and a budgeting seminar. How many of the registered visitors attended both sessions?

(1) Of the 360 registered visitors, 140 attended the gardening workshop, and 180 attended the budgeting seminar.

(2) The number of registered visitors who attended neither session was 40 greater than the number who attended both sessions.
______________________
DS 2

At a music audition, judges assigned scores to 9 applicants. Among the applicants, 3 tied for the lowest score of 14 points, and 2 tied for the highest score of 65 points. If the median score of the 9 applicants was 50 points, what was the average (arithmetic mean) score of the 9 applicants?

(1) If the applicants who received 14 points or 65 points are not considered, the median score of the remaining applicants is 56 points.

(2) If the applicants who received 14 points or 65 points are not considered, the range of the remaining scores is 12 points.
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Quote:

shouldn’t the equation be y-z=6 ?
How I came to the equation was : I know x.zy > x.yz, by that z>y. For the 100th term it should be y+10 -z =4. For the 10th term, you would get the equation z-1 - y =5. From both the equations, z=y+6. So, based on the options, z can only be 6.
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Problem Solving Butler: May 2026
May 28PS 1PS 2

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PS 1

Ida had five cards with matching envelopes – same in design, different in color. She removed the cards from all envelopes and randomly put them back. What is the probability that exactly one card got into the matching envelope?

A. 3/16
B. 5/8
C. 3/8
D. 1/4
E. 1/2

_______________________
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A set has ten positive integers – six even and four odd. Two integers are picked randomly and multiplied. What is the probability that the product is even?

A. 2/15
B. 7/15
C. 8/15
D. 2/5
E. 13/15
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Critical Reasoning Butler: April 2026
May 28CR 1CR 2

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Archaeological examination of the ancient city of Helike, located in Achaea, revealed a pattern of geological damage and collapsed buildings that resembles the pattern formed after tsunamis level down settlements. Thus, archaeologists have theorized that the destruction was caused by a well-documented tsunami that struck Acahea in 373 BCE.

Which of the following, if true, most strongly supports the archaeologists' hypothesis?

A. Ceramic funeral urns that are often found in graves dating from years before and after 373 BCE were also found in several graves near Helike.
B. Inscriptions utilizing a form of the Hellenic alphabet that was certainly used in Achaea after 373 BCE were found in Hellike.
C. Most contemporary accounts of Achaean history mention that a severe tsunami struck the region in 373 BCE.
D. Several coins minted in styles current in Achaea in the century between 350 BCE and 200 BCE were found in Helike.
E. Excavation in Helike found fragments of pottery created before 373 BCE in abundance but did not find any fragments of pottery created after 373 BCE.
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Opioid painkillers, such as oxycodone, are administered intravenously, meaning they are injected directly into the bloodstream. Such painkillers must be injected intravenously because if taken by any other method, the opioids will be processed by the liver before the opioids enter the bloodstream, rendering them useless by the time they reach their target cells. Certain non-opioid painkillers, however, contain chemical agents that are not processed by the liver. Therefore, such non-opioid painkillers can be administered in several different ways.

The statements above most strongly support a claim that the research accomplishment of which of the following would be beneficial to the users of opioid painkillers?

A. Determining, in a systematic way, what chemicals are naturally found in the human bloodstream and whether they tend to be processed by the liver.
B. Chemically altering, by procedures that work in the laboratory, the non-opioid painkillers that are not processed by the liver into opioids.
C. Permanently rendering the liver incapable of processing painkillers.
D. Combining oxycodone with compounds that prevent oxycodone from being processed by the liver but do not affect how target cells react to oxycodone.
E. Determining the amount of time each non-opioid painkiller takes to reach its target cells.
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Data Sufficiency Butler: May 2026
May 28DS 1DS 2

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DS 1

A delivery van traveled from Westport Depot to Lakeview Market in 7 hours. If the trip consisted of a 4-hour first leg at one constant speed and a 3-hour second leg at a different constant speed, what was the van’s average (arithmetic mean) speed for the entire trip?

(1) If the van had traveled for 8 hours at its first-leg speed and for 6 hours at its second-leg speed, it would have traveled 700 kilometers.
(2) If the van had traveled for 1 hour at each of those two speeds, it would have traveled 110 kilometers.
________________________
DS 2

A juice bar mixed apple juice and berry concentrate to make 6 liters of a fruit drink. If apple juice cost $4 per liter, and berry concentrate cost $10 per liter, was the volume of apple juice used greater than the volume of berry concentrate used?

(1) Less than 4 liters of berry concentrate were used.

(2) The total cost of the apple juice and berry concentrate used to make the 6 liters of fruit drink was less than $39.
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Quote:

*Bunuel writes:*
Data Sufficiency Butler: May 2026

May 28
a-delivery-van-traveled-from-westport-depot-to-lakeview-market-in-458174.html
a-juice-bar-mixed-apple-juice-and-berry-concentrate-to-make-6-liters-458173.html



________________________
a-delivery-van-traveled-from-westport-depot-to-lakeview-market-in-458174.html

A delivery van traveled from Westport Depot to Lakeview Market in 7 hours. If the trip consisted of a 4-hour first leg at one constant speed and a 3-hour second leg at a different constant speed, what was the van’s average (arithmetic mean) speed for the entire trip?

(1) If the van had traveled for 8 hours at its first-leg speed and for 6 hours at its second-leg speed, it would have traveled 700 kilometers.
(2) If the van had traveled for 1 hour at each of those two speeds, it would have traveled 110 kilometers.
________________________
a-juice-bar-mixed-apple-juice-and-berry-concentrate-to-make-6-liters-458173.html

A juice bar mixed apple juice and berry concentrate to make 6 liters of a fruit drink. If apple juice cost $4 per liter, and berry concentrate cost $10 per liter, was the volume of apple juice used greater than the volume of berry concentrate used?

(1) Less than 4 liters of berry concentrate were used.

(2) The total cost of the apple juice and berry concentrate used to make the 6 liters of fruit drink was less than $39.
Hi for juice question answer should be B right.
And delivery van question it shoudn be C

Can some one confirm
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Can some one confirm
yes correct
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*jeffn sends image:*
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