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This free GMAT practice test is a test designed to help you identify your strengths and weaknesses. Here are a few GMAT sample questions along with solutions from each section as this will help you check the quality of the GMAT sample test. Check these GMAT practice questions and take the free GMAT sample test to analyze your GMAT preparation.
Q1: If a and x are positive integers such that ax is a multiple of 20 and a is a factor of x, what is the minimum possible value of a+x?
A. 10
B. 15
C. 20
D. 40
E. 50
Explanation:
Given that a and x are positive integers.
To find the minimum value of a+x, we need to find the minimum value of a and x.
As ax is a multiple of 20, the units digit of ax will be ZERO and hence, the units digit of a will also be ZERO.
Since a is a positive integer, thus, the minimum value a can have is 10.
Also, a is a factor of x. Hence, the minimum value x can have is 10.
Therefore, the minimum value of a+x=10+10=20
The correct answer is C.
Q2: In 2003 a garment retail store bought 1000 shirts for $20 each. If 300 of these shirts were sold in 2004 for $30 each and the remaining 700 were sold in 2005 for $50 each, then the gross profit on the shirts sold in 2005 was how much percent more than the gross profit on the shirts sold in 2004?
A. 50
B. 100
C. 200
D. 300
E. 600
Explanation:
In 2004, 300 shirts were sold for $30 each, i.e. a total of $9,000 was earned in 2004, and they were bought for $6,000 (300 shirts @ $20 each). Hence, gross profit in 2004 was $3,000.
In 2005, 700 shirts were sold for $50 each, i.e. a total of $35,000 was earned in 2005, and they were bought for $14,000 (700 shirts @ $20 each). Hence, gross profit in 2005 was $21,000.
Percentage by which gross profit in 2005 were more than in 2004
= [(21000−3000) / 3000)] ×100 = 600%
The correct answer is E.
Q3. Two cars started simultaneously towards each other at constant rates of 20 miles per hour and 30 miles per hour respectively. How much time is required for these cars to cross each other, if initially they are separated by a distance of 1320 yards? (1 mile =1760 yards)?
A. 54 seconds
B. 53 seconds
C. 52 seconds
D. 51 seconds
E. 44 seconds
Explanation:
This problem can be solved by the concept of relative motion. As two cars are travelling towards each other, time taken to meet (t) can be calculated as:
t = Initial distance between them / Sum of speeds
However, MIND THE UNITS of distance and speed. Speeds are in mph, and distance is in yards. So converting everything in miles gives:
Initial distance between the cars =1320 yards =1320 / 1760 miles (since 1 yard =1 / 1760 miles)
= Initial distance between the cars =3 / 4 miles
Relative speed of two cars = Sum of the speeds =20+30=50 mph
So, time taken to meet = [(3/4) / 50] hour=3 / 200 hr= (3 / 200) ×3600 sec=54 sec
The correct answer is A.
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Take GMAT Sample TestQ1. An overwhelming proportion of the most productive employees at SaleCo's regional offices work not eight hours a day, five days a week, as do other SaleCo employees, but rather ten hours a day, four days a week, with Friday off. Noting this phenomenon, SaleCo's president plans to increase overall productivity by keeping the offices closed on Fridays and having all employees work the same schedule - ten hours a day, four days a week.
Which of the following, if true, provides the most reason to doubt that the president's plan, if implemented, will achieve its stated purpose?
A. Typically, a SaleCo employee's least productive hours in the workplace are the early afternoon hours.
B. None of the employees who work four days a week had volunteered to work that schedule, but all were assigned to it by their supervisors.
C. Working ten hours a day has allowed the most productive employees to work two hours alone each day in their respective offices relatively undisturbed by fellow employees.
D. Employees at SaleCo are compensated not on the basis of how many hours a week they work but on the basis of how productive they are during the hours they are at work.
E. Those SaleCo employees who have a four-day workweek do not take any of their office work to do at home on Fridays.
Explanation:
Type of Question: Weaken
Summary of the Argument:
This style of writing is a typical plan style on GMAT.The argument tells us that some employees who work for four days a week which is ten hours/per day are more productive than those who adhere to the regular schedule of five days, eight hours a day. To achieve the same productivity levels for all employees, the president plans to implement the ten hours four-day work schedule for all employees.
Our Aim:
Since this is a weaken question, we are supposed to prove that the conclusion is false. In this argument, we need to weaken the plan and prove that this plan will not succeed and will not increase employee productivity.
Analysis:
A. This choice talks about the least productive hours and the timeline associated with it.Hence it is irrelevant and thus can be eliminated.
B. This choice says that employees had not volunteered but were forced to work in the four-day schedule. The fact remains that they were more productive than the others. The probability is relatively high that the other employees may become more productive. This choice is a typical trap as it strengthens the plan, hence, this choice can be eliminated as it proves the opposite.
C. CORRECT. The ten-hour schedule allowed the employees to get some alone time. The additional two-hour slot enabled them to work peacefully without disturbance, making them more productive. If all employees follow the ten-hour schedule, then productivity will not increase. The productivity of the employees who follow the ten hour/four-day schedule will decline, and hence the plan will fail.
D. Compensation is not our concern and hence is outside the scope of the argument.
E. Even if we consider this true, it will not weaken the plan since the impact on productivity is not talked about and hence is irrelevant.
Q 2 & 3
Earth's surface consists of rigid plates that are constantly shifting and jostling one another. Plate movements are the surface expressions of motions in the mantle—the thick shell of rock that lies between Earth's crust and its metallic core. Although the hot rock of the mantle is a solid, under the tremendous pressure of the crust and overlying rock of the mantle, it flows like a viscous liquid. The mantle's motions, analogous to those in a pot of boiling water, cool the mantle by carrying hot material to the surface and returning cooler material to the depths. When the edge of one plate bends under another and its cooler material is consumed in the mantle, volcanic activity occurs as molten lava rises from the downgoing plate and erupts through the overlying one. Most volcanoes occur at plate boundaries.
However, certain "misplaced" volcanoes far from plate edges result from a second, independent mechanism that cools the deep interior of Earth. Because of its proximity to Earth's core, the rock at the base of the mantle is much hotter than rock in the upper mantle. The hotter the mantle rock is, the less it resists flowing. Reservoirs of this hot rock collect in the base of the mantle. When a reservoir is sufficiently large, a sphere of this hot rock forces its way up through the upper mantle to Earth's surface, creating a broad bulge in the topography. The "mantle plume" thus formed, once established, continues to channel hot material from the mantle base until the reservoir is emptied. The surface mark of an established plume is a hot spot—an isolated region of volcanoes and uplifted terrain located far from the edge of a surface plate. Because the source of a hot spot remains fixed while a surface plate moves over it, over a long period of time an active plume creates a chain of volcanoes or volcanic islands, a track marking the position of the plume relative to the moving plate. The natural history of the Hawaiian island chain clearly shows the movement of the Pacific plate over a fixed plume.
Q2. It can be inferred from the passage that a chain of volcanoes created by a mantle plume would most likely be characterized by
A. a curved outline
B. constituent volcanoes that differ from each other in age
C. occurrence near a plate boundary where one plate bends under another
D. appearance near many other volcanic chains
E. rocks with a wide range of chemical composition
Explanation:
Summary of the Passage:
Summary of the Passage: The author of the passage introduces us to the Earth’s Surface made up of constantly moving rigid plates. These movements are said to be an effect of what happens in the mantle, the layer between the crust and the core of our planet. Although the hot rock of the mantle is solid,under the tremendous pressure of the crust and the mantle, it flows like a viscous liquid. These movements are compared with (analogous) those in a pot of boiling water. This helps the reader understand a complex scientific idea with the help of a familiar concept. The movements take hot liquid to the surface, cooling the mantle. Now, the Edge (boundary) of such plates bend under another, the cooler material is consumed, thereby starting volcanic activity as the molten lava rises from the plate that is going down and comes out through the overlying plate (erupts). Thus the first paragraph tells us that Volcanic Activity happens in Plate Boundaries : plates moving around, showing motions deeper down like boiling water and hot lava comes to the top and cooler material goes down can cause volcanoes (usually at plate boundaries). The first paragraph also states that most volcanoes occur at plate boundaries.
The second paragraph introduces another phenomenon that can cause Volcanoes. These are certain “misplaced” volcanoes that happen away from the Edges due to another independent mechanism. The rocks at the bottom of the mantle are much nearer to the Earth’s Core and hotter than those at the upper end. The high temperature makes it resistant to movement, leading to accumulation of rocks at the bottom. When a reservoir of such rocks is sufficiently high, a part of this rock (sphere) forces its way up. This creates a broad bulge called “Mantle Plume”, which continues to send more to the surface until the reservoir is empty. The spot where this meets the surface is called a “Hot Spot”. Over time, as surface plates move over this hot spot, an “Active Plume” creates a chain of Volcanoes or Volcanic Islands. This marks the position of the Plume relative to the moving plate. The author then concludes the passage with the example of such a chain of volcanoes specifying the Hawaiian Island chain.
Hence, the second paragraph explains that there's another mechanism by which volcanoes are formed: Hotter rock flows more easily and this hot rock collects deep down. When there is enough, it pushes up to make a bulge (Volcano) even though it's not at a plate boundary, creating chains or islands of volcanoes - e.g. Hawaiian island chain.
Type of question: Location Based Inference
In such types of questions, we are supposed to derive some new information based on the given location.One must read one or two lines (related) more to derive the answer. The answer to this question can be found in the second paragraph. “ Because the source of a hot spot remains fixed while a surface plate moves over it, over a long period of time an active plume creates a chain of volcanoes or volcanic islands, a track marking the position of the plume relative to the moving plate.”
Analysis:
A. Whether the track is straight or curved from the passage was never mentioned in the passage. The only fact mentioned was of a track being created. Hence,this choice can be eliminated.
B. CORRECT. As mentioned in the location, this can be inferred directly. Because the source of a hot spot remains fixed while a surface plate moves over it, over a long period of time.
C. This information is not relevant .to the question asked. This is in the context of how volcanic activity occurs and not in the context of a chain of volcanoes.
D. This option can be eliminated as appearance near many other volcanic chains is not mentioned in the passage.
E. This option can also be eliminated as rocks with a wide range of chemical composition is not mentioned anywhere in the passage.
Q3: The passage is primarily concerned with discussing
A. the composition of Earth's mantle
B. how the Hawaiian Islands were created
C. what causes Earth's surface plates to move
D. two different mechanisms by which volcanoes are formed
E. why most volcanoes occur at plate boundaries
Explanation
Type of question: Primary Purpose /Main Idea
The right answer choice should give a basic overview of the passage The first para talks about how most volcanoes are formed (at the edge of the plates), whereas the second para talks about the second mechanism in which certain "misplaced" volcanoes occur far from plate edges.
Analysis:
A. Composition of the mantle was not mentioned in the passage and thus this choice can be eliminated.
B. The Hawaiian islands were just one example. Thus, it is too limited in scope to be the primary purpose.
C. Although tempting, this choice is too limited in scope.What causes surface plates to move is stated only in a few lines.
D. CORRECT. The first paragraph talks about how most volcanoes are formed (at the edge of the plates), whereas the second para talks about the second mechanism in which certain "misplaced" volcanoes (other types of volcanoes which do not occur at plate boundary) occur far from plate edges.
E. We are told that the occurrence of volcanoes near plates is one phenomenon through which volcanoes occur. It does not mention the second mechanism.
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