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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Each machine at a toy factory assembles a certain kind of toy at a constant rate of one toy every 3 minutes. If 40 percent of the machines at the factory are to be replaced by new machines that assemble this kind of toy at a constant rate of one toy every 2 minutes, what will be the percent increase in the number of toys assembled in one hour by all the machines at the factory, working at their constant rates? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Percentages
Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Number System
When a subscription to a new magazine was purchased for \( m \) months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of \( m \)? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Profit and Loss
Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She will list the books in the order in which they are chosen. How many different lists are possible? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Permutations
Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Permutations
If the sum of the reciprocals of two consecutive odd integers is \( \frac{12}{35} \), then the greater of the two integers is [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Algebra
Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at 11:00 a.m. heading west. At a particular time later that day, the dispatcher retrieved data from SD’s vehicle tracking system. The data showed that, up to that time, Al had averaged 40 miles per hour and Ben had averaged 20 miles per hour. It also showed that Al and Ben had driven a combined total of 240 miles. At what time did the dispatcher retrieve data from the vehicle tracking system? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Number System
Of the 150 houses in a certain development, 60 percent have air-conditioning, 50 percent have a sunporch, and 30 percent have a swimming pool. If 5 of the houses have all three of these amenities and 5 have none of them, how many of the houses have exactly two of these amenities? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Number System
The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A? [Official GMAT-2018]
GMAT - 2018
GMAT
Quantitative Aptitude
Area
A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A.The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader sells the entire mixture for Rs. 264 and makes a profit of 10%, then the highest possible cost of paint B, in Rs. per litre, is
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
If a person travels at a speed of \(40\ \text{km/h}\) he will reach his destination on time. He covered half the journey in \(\frac{2}{3}\) of the time. At what speed (in km/h) should he travel to cover the remaining journey to reach the destination on time?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
\( -x^2(a-b) + a^2(b-x) + b^2(x-a) \) is factored as:
CLAT - 2018
CLAT
Quantitative Aptitude
Algebra
Three fair dice are thrown simultaneously. What is the probability that the sum of numbers on their tops is at least \(6\)?
CLAT - 2018
CLAT
Quantitative Aptitude
Probability
Six dice are stacked on the floor as shown (heights \(3,2,1\) like steps). On each die, opposite faces sum to \(7\). What is the
maximum
possible sum of the numbers on all \(21\) visible faces?
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
The parallel sides of a trapezium shaped field are \(25\) m and \(10\) m and non-parallel sides are \(14\) m and \(13\) m. What is the area (in \(m^2\)) of the field?
CLAT - 2018
CLAT
Quantitative Aptitude
Mensuration
The marked price of an article is \(20%\) more than the cost price. If the article is sold at a discount of \(15%\) on its marked price, then the gain percent is:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
Reshma sells an article to Rekha at \(37.5\%\) profit, Rekha sells it to Madhu at \(9\dfrac{1}{11}\%\) profit. Again Madhu sells it to Mitu at \(25\%\) loss. If Mitu pays Rs.~\(342\) for the article, then what is the cost price of the article to Reshma?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
In a 120 litre solution of acid and water, acid is \(75%\). A person takes out 20 litres of this solution and adds \(16.2\) litres of acid and \(3.8\) litres of water in the remaining solution. What is the percentage of water in the final solution?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
Twelve men and 5 women can complete a work in 2 days whereas 4 men and 3 women can complete the same work in 5 days. In how many days can 8 men complete the work?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
a and b are inversely proportional to each other and are positive. If a increases by \(100%\), then b decreases by:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
Four pipes \(A,B,C,D\) can fill a tank in \(15, 20, 30,\) and \(60\) hours respectively. Pipe \(A\) is opened at 4 a.m., \(B\) at 5 a.m., \(C\) at 6 a.m., and \(D\) at 7 a.m. When is the tank completely filled?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
The number of children in a camp is \(x\) and their average weight is \(20\) kg. If 5 children each weighing \(12\) kg join the camp or if 10 children each weighing \(21\) kg leave the camp, the average weight in both the cases remains the same. The value of \(x\) is:
CLAT - 2018
CLAT
Quantitative Aptitude
Statistical Estimation
The fractions \(\dfrac{42}{491}, \ \dfrac{30}{313}, \ \text{and} \ \dfrac{35}{367}\) are arranged in ascending order of magnitude as:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
Suman saves \(10%\) of her monthly salary. Now her expenditure increases by \(30%\) and savings increase by \(50%\). The present increase in her salary is:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
A sum amounts to Rs.~9680 in 2 years and to Rs.~10648 in 3 years respectively at compound interest. What will be the amount if the same sum is invested for \(1\dfrac{2}{5}\) years at the same rate of compound interest?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
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