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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The difference between Simple Interest and Compound Interest on Rs. 500 for 1 year at 10% per annum, reckoned half yearly is
CLAT - 2019
CLAT
Quantitative Aptitude
Profit and Loss
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
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
\( -x^2(a-b) + a^2(b-x) + b^2(x-a) \) 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
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
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
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
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
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
Let \(x\) be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. The sum of digits of \(x\) is:
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
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
A student was asked to simplify the expression:
\[ \frac{0.1216 \times 0.105 \times 0.0002}{0.625 \times 0.08512 \times 0.039 \times 0.16} \]
His answer was
\(\frac{1}{65}\).
What is the difference between his answer and the correct answer?
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
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
When \(13511\), \(13903\) and \(14589\) are divided by the greatest number \(n\), the remainder in each case is \(m\). The value of \((n+m)\) is:
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
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
ABCD is a quadrilateral in which \(\angle D=60^\circ\) and \(\angle C=100^\circ\). If the internal bisectors of \(\angle A\) and \(\angle B\) meet at \(P\), then the measure of \(\angle APB\) is:
CLAT - 2018
CLAT
Quantitative Aptitude
Mensuration
Evaluate the expression
\[ \frac{\left( 1\dfrac{29}{36} + 4\dfrac{1}{8} \times 1\dfrac{7}{11} \right) \div \left( 5\dfrac{1}{9} - 7\dfrac{7}{8} \div 9\dfrac{9}{20} \right)} {\, 3\dfrac{1}{5} \div \dfrac{9}{2} \ \text{ of } \ 5\dfrac{1}{3}} \]
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?
CAT - 2018
CAT
Quantitative Aptitude
Time and Work
Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is
CAT - 2018
CAT
Quantitative Aptitude
Arithmetic and Geometric Progressions
A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?
CAT - 2018
CAT
Quantitative Aptitude
Time & Work
Given that x2018 y2017 = 1/2 and x2016 y2019 = 8, the value of x2+y3 is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
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