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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4), and (−2, 8), respectively. Then, the coordinates of the vertex D are
CAT - 2022
CAT
Quantitative Aptitude
Coordinate Geometry
The largest real value of a for which the equation
\( |x+a|+|x−1|=2\)
has an infinite number of solutions for x is
CAT - 2022
CAT
Quantitative Aptitude
Linear Inequalities
Let a and b be natural numbers. If
\(a^2+ab+a=14\)
and
\(b^2+ab+b=28\)
, then (2a+b) equals
CAT - 2022
CAT
Quantitative Aptitude
Basics Algebraic Formulae
The minimum possible value of
\(\frac{x^2−6x+10}{3−x}\)
,for x<3,is
CAT - 2022
CAT
Quantitative Aptitude
Maxima and Minima
If
\((3+2\sqrt2)\)
is a root of the equation ax2 + bx + c = 0 and
\((4+2\sqrt3)\)
is a root of the equation ay
2
+ my + n = 0,where a,b,c,m and n are integers, then the value of
\((\frac{b}{m}+\frac{c−2b}{n})\)
is
CAT - 2022
CAT
Quantitative Aptitude
Common Roots
The length of each side of an equilateral triangle ABC is 3 cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABD. Then the length of AD,in cm,is
CAT - 2022
CAT
Quantitative Aptitude
Congruence of Triangles
Sumeet spends 10% of his salary on his child’s education, 20% of the remainder on rent and 25% of the balance on garments. Finally, he is left with $ 5,400. What is his salary?
NMAT - 2022
NMAT
Quantitative Aptitude
Commercial Maths
Ankita buys 4kg cashews, 14kg peanuts, and 6kg almonds when the cost of 7kg cashews is the same as that of 30kg peanuts or 9kg almonds. She mixes all three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent buying almonds is
CAT - 2022
CAT
Quantitative Aptitude
Profit and Loss
The average of a non-decreasing sequence of N numbers
\(a_1,a_2,…,a_N\)
is 300.If
\(a_1\)
is replaced by
\(6a_1\)
, the new average becomes 400.Then,the number of possible values of
\(a_1\)
is
CAT - 2022
CAT
Quantitative Aptitude
Sequence and Series
Suppose k is any integer such that the equation
\(2x^2+kx+5=0\)
has no real roots and the equation
\(x^2+(k−5)x+1=0\)
has two distinct real roots for x. Then, the number of possible values of k is
CAT - 2022
CAT
Quantitative Aptitude
Common Roots
Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his monthly expense was ₹3500, and he foresees that, tenth month onward, his monthly expense will increase to ₹3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be
CAT - 2022
CAT
Quantitative Aptitude
Profit and Loss
Consider six distinct natural numbers such that the average of the two smallest numbers is 14 and the average of the two largest numbers is 28. Then,the maximum possible value of the average of these six numbers is
CAT - 2022
CAT
Quantitative Aptitude
Averages
Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is
CAT - 2022
CAT
Quantitative Aptitude
Time and Work
Let r be a real number and
\(f(x) = \begin{cases} 2x - r & \text{if } x \geq r \\ r & \text{if } x < r \end{cases}\)
.Then, the equation
\(f(x)=f(f(x))\)
holds for all real values of x where
CAT - 2022
CAT
Quantitative Aptitude
Functions
The radius of a circle is so increased that its circumference increased by 10 percent.Find the percentage increase in its area.
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Geometry
A habitual offender spotted by a police constable from a distance of 100 meters. When the police constable starts the chase, the criminal also starts running. If the speed of the criminal is 10 km/hr and that of the police constable is 12 km/hr, how far the criminal will have to run before he is overtaken by the police constable?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Time Speed and Distance
In the equation, 220032/
\(\sqrt{x}\)
= 1528 than the value of
\(x + 2x = ?\)
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Algebra
The last day of a century cannot be ……
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Clock and Calendar
Four goats are tied on the four corners of a square field of length 28 m so that each goat can just touch the other two goats.They were able to graze in the area accessible to them for 10 days.For how many days is the ungrazed area sufficient for them?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Geometry
Three spheres of radii 1 cm,2 cm,3 cm are melted to form a new sphere.Find the radius of the new sphere ?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Mensuration
By walking at three fourth of his usual speed,a man reaches his home 10 mins later than his usual time.Find the usual time taken by him to reach his home?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Time Speed and Distance
Two daily wage labourers A and B are paid a total of 3000 per day.If A is paid 132
\(\%\)
of the sum paid to B,how much is B paid per day?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Ratio and Proportion
Out of the three thousand people living in a gated community,three hundred people have taken sim card from Company X and 1200 have taken sim card from Company Y.If 100 have taken sim cards from both X andY,how many have not taken any of the two?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Sets
Find the missing number in the series.1,6,15,28,………66,91
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Series
If 50
\(\%\)
of a number is equal to one fifth of another number,what is the ratio of first number to the second number?
KMAT KERALA - 2022
KMAT KERALA
Quantitative Aptitude
Ratio and Proportion
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