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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The number of integers x such that 0.25 < 2x < 200, and 2x +2 is perfectly divisible by either 3 or 4, is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
How many numbers with two or more digits can be formed with the digits 1,2,3,4,5,6,7,8,9, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
The smallest integer n such that n3 - 11n2 + 32n - 28 > 0 is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
Let f(x)=max{5x, 52-2x2 }, where x is any positive real number. Then the minimum possible value of f(x) is
CAT - 2018
CAT
Quantitative Aptitude
Functions
There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
If p3 = q 4 = r5 = s6 , then the value of logs(pqr) is equal to
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
1/log2100-1/log4100+1/log5100-1/log10100+1/log20100-1/log25100+1/log50100=?
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is
CAT - 2018
CAT
Quantitative Aptitude
Time & Work
Let f(x) = min{2x2 ,52−5x}, where x is any positive real number. Then the maximum possible value of f(x) is
CAT - 2018
CAT
Quantitative Aptitude
Taylor’s theorem
In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?
CAT - 2018
CAT
Quantitative Aptitude
Average
log12 81=p, then 3(4-p/4+p) is equal to
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u=(x+y)/2 and v=(y+z)/2. If x ≥ z, then the minimum possible value of x is
CAT - 2018
CAT
Quantitative Aptitude
Taylor’s theorem
On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively. If the lengths of AB, AC, and CP are 30 cm, 25 cm, and 20 cm respectively, then the length of BQ, in cm, is
CAT - 2018
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
Let t1, t2,… be real numbers such that t1+t2+…+tn = 2n2 +9n+13, for every positive integer n ≥ 2. If tk=103, then k equals
CAT - 2018
CAT
Quantitative Aptitude
Linear Inequalities
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
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
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 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
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
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
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
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