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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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
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
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
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
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
If log 2(5+log3a)=3 and log5(4a+12+log2b) = 3, then a+b is equal to
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is
CAT - 2018
CAT
Quantitative Aptitude
Circles
If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
CAT - 2018
CAT
Quantitative Aptitude
Permutation and Combination
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
Given an equilateral triangle T1 with side 24 cm, a second triangle T2 is formed by joining the midpoints of the sides of T1. Then a third triangle T3 is formed by joining the midpoints of the sides of T2. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles T1, T2, T3,... will be
CAT - 2018
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
If u2+(u-2v-1)2 = -4v(u+v),then what is the value of u+3v?
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-fifths of that between X and Y. How many hours does train T take for its journey from X to Y?
CAT - 2018
CAT
Quantitative Aptitude
Time, Speed and Distance
Each of 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He then sold 8 kg of peanuts at a profit of 10% and 16 kg of walnuts at a profit of 20% to a shopkeeper. However, the shopkeeper lost 5 kg of walnuts and 3 kg of peanuts in transit. He then mixed the remaining nuts and sold the mixture at Rs. 166 per kg, thus making an overall profit of 25%. At what price, in Rs. per kg, did the wholesaler buy the walnuts?
CAT - 2018
CAT
Quantitative Aptitude
Profit & Loss
A CAT aspirant appears for a certain number of tests. His average score increases by 1 if the first 10 tests are not considered, and decreases by 1 if the last 10 tests are not considered. If his average scores for the first 10 and the last 10 tests are 20 and 30, respectively, then the total number of tests taken by him is
CAT - 2018
CAT
Quantitative Aptitude
Average
Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5:6. What fraction of her original number of marbles was given by Lalitha to Raju?
CAT - 2018
CAT
Quantitative Aptitude
Ratio
Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?
CAT - 2018
CAT
Quantitative Aptitude
Mensuration
In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is
CAT - 2018
CAT
Quantitative Aptitude
Mensuration
In a circle with center O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is
CAT - 2018
CAT
Quantitative Aptitude
Circles
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
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