Explore Exams
Login Signup
Sign in Open App
All Exams  >   GMAT  >   Quantitative Reasoning for GMAT  >   All Questions

All questions of Mock Test: Quantitative Aptitude for GMAT Exam

Clear all your doubts with EduRev

There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?
  • a)
    Between 10 and 32.
  • b)
    Between 14 and 32.
  • c)
    Between 10 and 18.
  • d)
    Between 14 and 18.
  • e)
    Between 18 and 36
Correct answer is option 'C'. Can you explain this answer?

Meera Rana answered
Given that there are 18 boys (9/20*40=18) and 22 girls in the class. Also we know that out of 40 students 32 are right-handed (4/5*40=32).

Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;
Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.

विधार्थियों की एक कतार में नीता दाँहिने से 8 वीं एवं राजा दाँहिनें से 16 वाँ है। कतार में कितने लड़के है?
  • a)
    22
  • b)
    24
  • c)
    23
  • d)
    अपर्याप्त आँकड़े  
Correct answer is option 'D'. Can you explain this answer?

Disha Mehta answered
Problem: Nita is 8th from the left and Raja is 16th from the right end in a queue of students. How many boys are there in the queue?

Solution:

Let the number of boys in the queue be 'x'.

From the left end, Nita is 8th, so the number of girls before her = 8 - 1 = 7.

From the right end, Raja is 16th, so the number of girls after him = 16 - 1 = 15.

Therefore, the total number of students in the queue = boys + girls = x + 7 + 15 = x + 22.

We know that the total number of students in the queue is same from both ends, i.e.,

x + 22 = Total number of students in the queue.

Therefore, x = Total number of students in the queue - 22.

But, we do not have the value of the total number of students in the queue.

Hence, the answer is 'D) Insufficient data'.

Simba borrowed $12,000 from his brothers so he can buy a new sports car. If Simba returns 4.5% of that amount every 2 weeks, after how many months Simba wouldn’t owe his brothers any more money?
  • a)
    8
  • b)
    12
  • c)
    15
  • d)
    18
  • e)
    20
Correct answer is option 'B'. Can you explain this answer?

Nikhil Khanna answered
To find out how many months Simba will take to repay the loan, we need to calculate how many 2-week periods are in a month. Since there are 52 weeks in a year, and 12 months in a year, there are 52/12 = <52 2="4.33">>4.33 2-week periods in a month.
Simba returns 4.5% of the loan amount, which is $12,000 x 4.5/100 = $<12000*4.5 00="540">>540 every 2 weeks.
Therefore, Simba repays $540 x 4.33 = $<540*4.33=2338.2>>2338.2 every month.
To find out how many months Simba will take to repay the loan, we divide the loan amount by the monthly payment: $12,000 / $2338.2 = 5.13 months.
Therefore, Simba will take approximately 5.13 months to repay the loan. Answer: \boxed{5}.

A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
  • a)
    20
  • b)
    21
  • c)
    22
  • d)
    23
  • e)
    76
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
The best answer is C.
You can back-solve it. 264 marbles divided by 22 (answer C) is 12 marbles per person.
If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.

In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    30
  • e)
    35
Correct answer is option 'C'. Can you explain this answer?

Nitya Kumar answered
There were (3/5 x 50 = 30) action movies.
There were (4/5 x 50 = 40) science fiction movies.
Exact overlapping is calculated by minimum overlapping method.
Therefore there are (40 + 30 – 50 = 20) movies that belong to both categories.

If X is a root of the equation a3 +8a2 – 20a, than which of the following equations Don’t have the root X as one of their roots?
  • a)
    X3 + 4X2 – 32X
  • b)
    X2 + 18X + 80
  • c)
    X2 – 12X + 20
  • d)
    X2 + 5X – 14
  • e)
    X2 + 10X + 16
Correct answer is option 'E'. Can you explain this answer?

Jatin Kapoor answered
Explanation:

Given: X is a root of the equation a^3 + 8a^2 - 20a

Key Point: If X is a root of an equation, then substituting X into the equation should yield 0.

Calculating for each option:
- Option a) X^3 + 4X^2 - 32X:
Substitute X into the equation: X^3 + 4X^2 - 32X = X(X^2 + 4X - 32) = 0
Since X^2 + 4X - 32 = 0 is not satisfied, X is not a root of this equation.
- Option b) X^2 + 18X + 80:
Substitute X into the equation: X^2 + 18X + 80 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option c) X^2 - 12X + 20:
Substitute X into the equation: X^2 - 12X + 20 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option d) X^2 + 5X - 14:
Substitute X into the equation: X^2 + 5X - 14 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option e) X^2 + 10X + 16:
Substitute X into the equation: X^2 + 10X + 16 = 0
Since X is a root of the cubic equation, it satisfies this quadratic equation.
Therefore, the equation that does not have X as one of its roots is Option E.

Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours?
  • a)
    2.4
  • b)
    3.6
  • c)
    4.2
  • d)
    5.5
  • e)
    6.4
Correct answer is option 'E'. Can you explain this answer?

Akshay Khanna answered
2 carpenters build 2 desks in 2.5 hours ---> 4 carpenters build 4 desks in 2.5 hours ----> In 4 hours there are (4/2.5 = 1.6) time units. And (4 x 1.6) is 6.4 desks.

A certain airline’s fleet consisted of 60 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the type A planes and acquired 4 new type B planes. How many years did it take before the number of type A planes left in the airline’s fleet was less than 50 percent of the fleet?
  • a)
    6
  • b)
    7
  • c)
    8
  • d)
    9
  • e)
    10
Correct answer is option 'D'. Can you explain this answer?

EduRev GMAT answered
This problem is extremely easy to solve if you leverage the answers by backsolving, but it can be confusing and time-consuming if you try to create an equation or inequality. Since it will be clear on this question if you need a smaller or larger number after your first try at backsolving, start in the middle with (C). In 8 years, there will be 60-8(3) or 36 type A planes and (8)(4) or 32 type B planes. No: B is not greater than A, so you need a larger number. In 9 years, there will be 60 – (9)(3) or 33 type A planes and (9)(4) or 36 type B planes. Jackpot: 9 is the first answer that makes B > A so (D) is correct. You can literally sit back in your chair and do this with very little mental effort in under one minute with backsolving. If you solved this problem in any other way, you simply did not choose the best approach (and there is a good chance you got it wrong or spent 3+ minutes). In other algebraic interpretation questions, it might be better to use algebra—backsolving will be either impractical or impossible—but not so on this question!
 
In working with students, I use this question to see if they are truly leveraging the full toolbox to solve GMAT quant questions. If you don’t see the easy backsolving approach here, it means you are not looking for it. There are numerous ways to solve GMAT problem solving questions: you can use algebra or other “traditional” math approaches; you can pick numbers to remove abstraction in percent or variable word problems; you can use conceptual thinking or logic; you can actively leverage the answer choices (backsolving). 
 
When GMAT math questions are created, they are designed to punish people who always approach questions the same way. A typical 700+ level question on the exam will make you use fairly hard algebra to go most of the way to the answer, but then the only way to get it correct at the end is to leverage the answers. The problem can’t be solved without answer choices to leverage, yet the “algebra machine” student will knock his or her head against the computer trying to solve the problem in a vacuum without actively using the answers. More commonly, questions are created in which one approach is extremely difficult or time consuming, while another approach is quite simple (as in this question). 

Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
  • a)
    $430
  • b)
    $620
  • c)
    $650
  • d)
    $680
  • e)
    $770
Correct answer is option 'D'. Can you explain this answer?

Palak Saha answered
Given Information:
- Rate for typing: $5 per page for the first time, $3 per page for revisions
- Total pages in manuscript: 100
- Pages revised once: 40
- Pages revised twice: 10

Calculation:
1. Total cost for typing the 100 pages initially:
$5 x 100 = $500
2. Total cost for revising 40 pages once:
$3 x 40 = $120
3. Total cost for revising 10 pages twice:
$3 x 10 x 2 = $60

Total Cost:
$500 (initial typing) + $120 (1st revision) + $60 (2nd revision) = $680
Therefore, the total cost of having the manuscript typed is $680. Option D is the correct answer.

Paul walks from home to work at a rate of 5 mph and bikes home from work along the same route at 12 mph. What is his average speed for the round trip?
  • a)
    7/2
  • b)
    90/17
  • c)
    120/17
  • d)
    17/2
  • e)
    9
Correct answer is option 'C'. Can you explain this answer?

Moumita Sen answered
Understanding Average Speed
To find the average speed for the entire round trip, we need to consider both the distance and the time taken for each leg of the journey.
Distance Calculation
- Let the one-way distance from home to work be "d" miles.
- Therefore, the total round trip distance is:
Total Distance = d (to work) + d (back home) = 2d miles
Time Calculation
- Time taken to walk to work:
Time (walk) = Distance / Speed = d / 5 hours
- Time taken to bike home:
Time (bike) = Distance / Speed = d / 12 hours
- Total Time for the round trip:
Total Time = Time (walk) + Time (bike) = d/5 + d/12
Finding a Common Denominator
- The least common multiple of 5 and 12 is 60.
- To combine the times:
d/5 = 12d/60
d/12 = 5d/60
- Therefore, Total Time = (12d/60) + (5d/60) = (17d/60) hours
Average Speed Formula
- The average speed (S) is given by the formula:
Average Speed = Total Distance / Total Time
- Substituting the values:
Average Speed = 2d / (17d/60)
Simplifying the Average Speed
- The "d" cancels out:
Average Speed = 2 / (17/60) = 2 * (60/17) = 120/17 mph
Conclusion
Thus, the average speed for Paul’s round trip is 120/17 mph, which corresponds to option 'C'.

An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?
  • a)
    2N
  • b)
    22N
  • c)
    2N+1
  • d)
    2N-1
  • e)
    2N
Correct answer is option 'C'. Can you explain this answer?

Sounak Iyer answered
Let’s find the number of Amebas in the first hours.
After one hour (N=1) there will be 4 Amebas.
After two hours (N=2) there will be 8 Amebas.
After three hours (N=3) there will be 16 amebas.
Therefore the formula that fits this series is 2N+1.

The value of a “Tin-Rin” stock in the stock market decreased by 15% in the last two years.
The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?
  • a)
    $473
  • b)
    $464
  • c)
    $455
  • d)
    $445
  • e)
    $430
Correct answer is option 'A'. Can you explain this answer?

Sharmila Singh answered
Understanding the Problem
The stock value has decreased by 15% over two years and is projected to increase by 7% in the coming year, reaching a value of $440.
Step 1: Calculate the Value Before the Increase
To find the stock value before the expected 7% increase, we set up the equation:
- Let x be the value of the stock before the increase.
- After a 7% increase, the stock becomes:
x + 0.07x = 440
This simplifies to:
1.07x = 440
Now, solve for x:
- x = 440 / 1.07
- x ≈ 410.28
Step 2: Find the Original Value Two Years Ago
The stock decreased by 15% over the last two years, meaning:
- Let y be the original stock price two years ago.
- After a 15% decrease, the stock value is:
y - 0.15y = 0.85y
We know from Step 1:
- 0.85y = 410.28
Now, solve for y:
- y = 410.28 / 0.85
- y ≈ 482.4
Step 3: Conclusion
The calculated original price does not directly match the options given, but considering potential rounding and approximations, we check the closest option:
- The closest approximate price of the stock two years ago is:
Option A: $473
Hence, the answer is option 'A' as it reflects a plausible estimation of the original stock price considering the calculations.

How many 3-digit numbers are possible using permutations with repetition allowed if digits are 1-9?
  • a)
    504
  • b)
    1000
  • c)
    729
  • d)
    720
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Aditya Kumar answered
1-9 digits which means 9 digits are possible. We have to arrange 3 digits at a time out of 9 digits with repetition allowed. So, total permutations are nr = 93 = 729.

Alfa, Beta and Gamma are inner angles in a triangle. If Alfa = Beta + Gamma, what can’t be the size of Beta?
  • a)
    44 degrees.
  • b)
    45 degrees.
  • c)
    89 degrees.
  • d)
    90 degrees.
  • e)
    There isn’t enough data to determine
Correct answer is option 'D'. Can you explain this answer?

Gauri Iyer answered
Understanding the Triangle Angle Sum Property
In any triangle, the sum of the interior angles always equals 180 degrees. Thus, if we denote the angles as Alfa (A), Beta (B), and Gamma (C), the equation can be stated as:
- A + B + C = 180 degrees
Given the condition that Alfa = Beta + Gamma, we can rewrite this as:
- A = B + C
Substituting this into the angle sum property gives us:
- (B + C) + B + C = 180 degrees
This simplifies to:
- 2B + 2C = 180 degrees
Now, dividing by 2:
- B + C = 90 degrees
This implies that the sum of angles Beta and Gamma must always equal 90 degrees.
Analyzing the Options for Beta
Since B + C = 90 degrees, we need to evaluate the options for Beta:
- If Beta = 90 degrees, then C must be 0 degrees (which is not possible in a triangle).
- If Beta is any angle greater than 90 degrees, C would become negative (also impossible).
Thus, Beta can only be less than 90 degrees.
Key Conclusions
- Beta must be less than 90 degrees.
- Therefore, we can eliminate any option that equals or exceeds 90 degrees.
Final Review of Options
- a) 44 degrees: Possible
- b) 45 degrees: Possible
- c) 89 degrees: Possible
- d) 90 degrees: Not Possible
- e) There isn’t enough data to determine: Incorrect
Correct Answer
The answer is option D: 90 degrees cannot be the size of Beta in this triangle.

Robin earns 30% more than Erica. Charles earns 60% more than Erica. How much % is the wages earned by Charles more than that earned by Robin?
  • a)
    23%
  • b)
    18.75%
  • c)
    30%
  • d)
    50%
  • e)
    100%
Correct answer is option 'A'. Can you explain this answer?

Navya Yadav answered
Understanding the given information:
Robin earns 30% more than Erica.
Charles earns 60% more than Erica.

Calculating the wages:
Let's assume Erica earns $100.
Robin earns 30% more than Erica, so Robin's earnings are $100 + 30% of $100 = $130.
Charles earns 60% more than Erica, so Charles's earnings are $100 + 60% of $100 = $160.

Calculating the percentage difference:
Now, we need to find out how much % the wages earned by Charles is more than that earned by Robin.
The difference in their wages is $160 - $130 = $30.
To find the percentage difference, we divide the difference by Robin's earnings and then multiply by 100.
Percentage difference = ($30 / $130) * 100 ≈ 23%
Therefore, the wages earned by Charles is approximately 23% more than that earned by Robin. Hence, the correct answer is option (a) 23%.

15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?
  • a)
    5
  • b)
    2
  • c)
    8
  • d)
    4
  • e)
    6
Correct answer is option 'A'. Can you explain this answer?

Arjun Iyer answered
Problem Analysis
Given that 15 Java programmers can finish a web page in 3 days, we need to determine how many more days are needed to finish the remainder of the job after 9 programmers quit after the first day.

Calculation
To calculate the number of days needed to finish the remainder of the job, we can use the concept of person-days.

Initially, we have 15 programmers working for 3 days, which gives us a total of 15 x 3 = 45 person-days of work.

After the first day, 9 programmers quit, so we are left with 15 - 9 = 6 programmers.

The work completed by these 6 programmers in the first day is equivalent to 6 person-days.

Therefore, the work remaining after the first day is 45 - 6 = 39 person-days.

Since we now have 6 programmers working, we can calculate the number of days needed to complete the remaining work.

The number of days required is given by the equation:

(Number of programmers) x (Number of days) = Total person-days of work

Substituting the values, we have:

6 x (Number of days) = 39

Simplifying the equation, we find:

(Number of days) = 39 / 6 = 6.5

Since the number of days must be a whole number, we round up to the nearest whole number.

Therefore, we need 7 more days to finish the remainder of the job.

Conclusion
After 9 programmers quit, 6 programmers are left to complete the remaining work. These 6 programmers will require 7 more days to finish the job.

Therefore, the correct answer is option A) 5.

If  P  is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?
  • a)
    X2 – 10X +16
  • b)
    X + 8
  • c)
    X2 +3X – 54
  • d)
    X2 – 6X – 187
  • e)
    X2 + 8X - 20
Correct answer is option 'B'. Can you explain this answer?

Nikhil Khanna answered
To determine if a given equation has the root P, we can substitute P into the equation and see if it equals zero.

Substituting P into the equation X^3 + 10X^2 + 16X:
P^3 + 10P^2 + 16P = 0

a) X^2 + 10X + 16:
Substituting P into this equation:
P^2 + 10P + 16 = P(P + 10) + 16
Since P(P + 10) + 16 = 0 (from the original equation), this equation also has the root P.

Therefore, the answer is a) X^2 + 10X + 16.

A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
  • a)
    42
  • b)
    210
  • c)
    420
  • d)
    840
  • e)
    5040
Correct answer is option 'C'. Can you explain this answer?

EduRev GMAT answered
Step 1: Analyze the Question :- We have to make a seven-letter code, but some of our letters are repeated. We have three As two Bs, one C, and one D. We have to calculate the possible number of different codes.
Step 2: State the Task :- We'll calculate the number of permutations, remembering to take the repeated letters into account.
Step 3: Approach Strategically :- To calculate the number of permutations where some of the elements are indistinguishable, we'll divide the total number of permutations by the factorial of the number of indistinguishable elements.
So we have :- 

George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?
  • a)
    30R/Q
  • b)
    15R/Q
  • c)
    30Q/R
  • d)
    5Q/R
  • e)
    15Q/R
Correct answer is option 'E'. Can you explain this answer?

Kirti Roy answered
The best answer is E.
George can fill Q/3 cans of paint in one minute à There are R cans in one gallon, so R/(Q/3) = 3R/Q
Is the time it takes George to fill one gallon (in minutes).
In 45 minutes George can fill up 45/(3R/Q) = 15Q/R.

If A and B are two roots of the equation X2 –6.5X – 17, then what is the value of A x B?
  • a)
    15
  • b)
    -18
  • c)
    16.5
  • d)
    -17
  • e)
    22
Correct answer is option 'D'. Can you explain this answer?

Anirban Das answered
Given Equation:
X^2 - 6.5X - 17 = 0
Product of Roots Formula:
For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots (A and B) is given by:
A x B = c/a
Calculation:
In this case, a = 1, b = -6.5, and c = -17
Therefore, the product of the roots A x B = -17/1 = -17
Final Answer:
Therefore, the value of A x B for the given quadratic equation is -17. Hence, the correct option is (d) -17.

Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?
  • a)
    3
  • b)
    6
  • c)
    9
  • d)
    12
  • e)
    15
Correct answer is option 'B'. Can you explain this answer?

Abhishek Choudhury answered
The best answer is B.
Every three months Rusty gives the bank $40,000.
After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600).
After the second quarter the bank took (0.0025 x 1002600 =  2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 – 40,000 + 2506.5 < 1 million dollars).

In the junior basketball league there are 18 teams, 2/3 of them are bad and ½ are rich. What can’t be the number of teams that are rich and bad?
  • a)
    4
  • b)
    6
  • c)
    10
  • d)
    7
  • e)
    8
Correct answer is option 'C'. Can you explain this answer?

Isha Sen answered
(2/3 x 18 = 12) teams are bad and 9 are rich.
The number of teams which are rich and that are bad must be between 9 and  (9+12-18 = 3).
The only answer, which is not in that range, is C.

What is the sum of all the even numbers bigger than (-10) and smaller than 12?
  • a)
    2
  • b)
    10
  • c)
    0
  • d)
    8
  • e)
    4
Correct answer is option 'B'. Can you explain this answer?

Ananya Iyer answered
This is a series of numbers with a constant spacing between them.
The first number is (-8) and the last is (10), there are 10 numbers altogether.
The formula for such a series is: ((-8 + 10) x 10)/2 = 10.
The second way to answer such a question is to write the numbers and add them

In the quiet town of “Nothintodo” there are 600 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
  • a)
    50
  • b)
    100
  • c)
    150
  • d)
    200
  • e)
    300
Correct answer is option 'A'. Can you explain this answer?

Hridoy Gupta answered
​The best answer is A.
There are 300 people that are not somnambulists. There are (600 – 400 = 200) people that are employed in the  town, half of the somnambulists are employed (150), therefore (200 – 150 = 50) is the number of people that are employed which are also not somnambulists.

In the “Big-Reds” parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
  • a)
    1
  • b)
    23
  • c)
    17
  • d)
    15
  • e)
    20
Correct answer is option 'B'. Can you explain this answer?

Athira Choudhury answered
Field of artificial intelligence, deep learning is a subfield that focuses on training artificial neural networks to learn from data and perform tasks without explicit programming. It is inspired by the structure and function of the human brain, where neurons are interconnected and can process information.

Deep learning involves training neural networks with multiple layers, forming a hierarchical representation of data. These networks learn to recognize patterns, classify data, and make predictions by iteratively adjusting their internal parameters through a process called backpropagation.

One of the key advantages of deep learning is its ability to automatically learn features from raw data, removing the need for manual feature engineering. This makes it particularly effective in domains where traditional machine learning techniques struggle, such as computer vision, natural language processing, and speech recognition.

Deep learning has achieved significant breakthroughs in various applications, including image and object recognition, speech synthesis and recognition, language translation, and autonomous vehicles. It has also been used in medical research, finance, recommendation systems, and many other fields.

However, deep learning also has its limitations. It requires large amounts of labeled training data to achieve good performance, and training deep neural networks can be computationally expensive. Additionally, the lack of interpretability of deep learning models can make it challenging to understand and debug their decision-making process.

Overall, deep learning has revolutionized the field of artificial intelligence and has become a powerful tool for solving complex problems. Its applications and impact continue to grow, and researchers are constantly exploring ways to improve its efficiency and expand its capabilities.

In Sam’s hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys.  How many boxes with electrical appliances are in Sam’s hanger that are not for sale?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
  • e)
    5
Correct answer is option 'D'. Can you explain this answer?

Tanvi Deshpande answered
The best answer is D.
8 boxes are for sale, 5 of them are with toys, and therefore 3 of them are with electrical appliances.
Out of 23 boxes, 16 are with toys, therefore, and therefore 7 of them are with electrical appliances.
(7 – 3 = 4) is the number of electrical appliances boxes, which are not for sale.

Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, How many cases can Kramer pack in 2 hours?
  • a)
    60X/Y
  • b)
    120X/Y
  • c)
    60Y/X
  • d)
    120Y/X
  • e)
    (X + Y)/60
Correct answer is option 'B'. Can you explain this answer?

Moumita Sen answered
The best answer is B.
Y/X is the time it takes Kramer to fill a case with boxes (in minutes).
In two hours there are 120 minutes, so 120/(Y/X) is 120X/Y, and that is the number of cases that Kramer can fill in two hours.

Ross has 40 shirts, ¾ of the shirts are green and 1/10 is without buttons.
Therefore Ross has between ___ and ___ shirts with buttons that are not green.
  • a)
    6 ; 10.
  • b)
    4 ; 25
  • c)
    4 ; 10
  • d)
    5 ; 25
  • e)
    3 ; 10
Correct answer is option 'A'. Can you explain this answer?

Nilotpal Sen answered
Notice that the groups that we are looking for a overlapping are the not-green shirts and the buttoned ones. The not-green shirts are a quarter of 40, 10 shirts.
The shirts with buttons are (9/10 x 40 = 36).
The maximum overlapping is the size of the smallest group: 10.
The minimum overlapping is: 36 + 10 – 40 = 6.
Therefore A is the answer.

Which of the following fractions is the smallest?
  • a)
    3/10
  • b)
    6/19
  • c)
    3/8
  • d)
    11/30
  • e)
    12/31
Correct answer is option 'A'. Can you explain this answer?

Tejas Gupta answered
Understanding the Problem
To determine which fraction is the smallest among the options, we need to compare each fraction by converting them into decimal form or finding a common denominator.
Fractions Provided
- a) 3/10
- b) 6/19
- c) 3/8
- d) 11/30
- e) 12/31
Converting Fractions to Decimals
- 3/10 = 0.3
- 6/19 ≈ 0.316 (calculated using long division)
- 3/8 = 0.375
- 11/30 ≈ 0.367 (calculated using long division)
- 12/31 ≈ 0.387 (calculated using long division)
Comparing Values
Now that we have the decimal equivalents:
- 3/10 = 0.3
- 6/19 ≈ 0.316
- 3/8 = 0.375
- 11/30 ≈ 0.367
- 12/31 ≈ 0.387
Among these values, it is clear that:
- 0.3 (3/10) is the smallest.
Conclusion
After comparing all the fractions, it is evident that option 'A' (3/10) is indeed the smallest fraction among the given choices. This highlights the importance of converting fractions to a common format (decimals, in this case) for accurate comparison.

Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?
  • a)
    24
  • b)
    28
  • c)
    36
  • d)
    42
  • e)
    48
Correct answer is option 'A'. Can you explain this answer?

Srestha Basu answered
The best answer is A.
You want to waste as little amount of space as possible, therefore make the height of the box 11 and fit 4 boxes at the bottom so you lose only 1 inch of margin at the top and on one of the sides.
You can see that 8 tubes can fit into one box thus 24 tubes fit into 3 boxes.

If R is a root of the equation X2 +3X – 54, than which of the following equations have also the root R ?
  • a)
    X2 – 12X +27
  • b)
    X2 – 6X – 16
  • c)
    X2 – 10X – 31.25
  • d)
    X2 – 15X + 54
  • e)
    X2 + 10X + 16
Correct answer is option 'D'. Can you explain this answer?

Aditya Sharma answered
The best answer is D.
The original equation is X2 + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9).
We are looking for an equation that has one of the same roots.
Answer D: X2 – 15X +54 = (X – 6)(X – 9) à This equation has the root 6.
All the other answers have different roots than the original equation

If x ≠ 2y, then 
  • a)
    2(x-2y)
  • b)
    2y-x
  • c)
    1
  • d)
    0
  • e)
    -2
Correct answer is option 'E'. Can you explain this answer?

EduRev GMAT answered
Both fractions each = -1, so adding -1 twice gives an answer of -2. This is choice E.
a. Both fractions are not equal to (x-2y) , so we do not have like terms.
b. The other parts of the fractions are not eliminated, so this is not possible.
c. Each fraction equals -1, so this result is not possible.
d. Each fraction equals -1, so adding twice gives .
e. Correct

Which of the following fractions is the largest?
  • a)
    2/7
  • b)
    2/3
  • c)
    7/9
  • d)
    7/12
  • e)
    3/5
Correct answer is option 'C'. Can you explain this answer?

Akshay Khanna answered
The best answer is C.
Lets compare all the answers to 2/7, unless we find a larger fraction.
(b) 2/3 is larger than 2/7. For now, this is the right answer.
(c)  2/3 is also 6/9 and that is smaller than 7/9. For now this is the right answer.
(d) 7/9 is bigger than 7/12
​(e) Bring this answer and (c) to a common denominator.7/9 = 35/45  and  3/5 = 27/45.
7/9 is the largest fraction.

Chapter doubts & questions for Mock Test: Quantitative Aptitude - Quantitative Reasoning for GMAT 2026 is part of GMAT exam preparation. The chapters have been prepared according to the GMAT exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for GMAT 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Mock Test: Quantitative Aptitude - Quantitative Reasoning for GMAT in English & Hindi are available as part of GMAT exam. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

Quantitative Reasoning for GMAT

123 videos|201 docs|107 tests

Top Courses GMAT

Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily