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Quantitative Aptitude
List of top Quantitative Aptitude Questions
In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
CAT - 2017
CAT
Quantitative Aptitude
Time Speed and Distance
Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?
CAT - 2017
CAT
Quantitative Aptitude
Mixture Problems
Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is
CAT - 2017
CAT
Quantitative Aptitude
Time Speed and Distance
The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is
CAT - 2017
CAT
Quantitative Aptitude
Average
The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is
CAT - 2017
CAT
Quantitative Aptitude
Profit & Loss
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?
CAT - 2017
CAT
Quantitative Aptitude
Time and Work
Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and makes a profit of Rs 150. How many dozens of candies did he buy altogether?
CAT - 2017
CAT
Quantitative Aptitude
Profit & Loss
In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to
CAT - 2017
CAT
Quantitative Aptitude
Percentage
If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?
CAT - 2017
CAT
Quantitative Aptitude
Number Systems
A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?
CAT - 2017
CAT
Quantitative Aptitude
Time Speed and Distance
Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.If this amount is shared by them in proportion to their work,then Kamal's share,in rupees,is
CAT - 2017
CAT
Quantitative Aptitude
Time and Work
Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has
CAT - 2017
CAT
Quantitative Aptitude
Mixture Problems
Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
CAT - 2017
CAT
Quantitative Aptitude
Mensuration
The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is
CAT - 2017
CAT
Quantitative Aptitude
Geometry
The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is
CAT - 2017
CAT
Quantitative Aptitude
Geometry
ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then the value of ∠BCD (in degrees) is
CAT - 2017
CAT
Quantitative Aptitude
Quadrilaterals
If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is
CAT - 2017
CAT
Quantitative Aptitude
Mensuration
Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4 (√2 - l) cm, then the area, in sq cm, of the triangle ABC is
CAT - 2017
CAT
Quantitative Aptitude
Mensuration
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
CAT - 2017
CAT
Quantitative Aptitude
Number Systems
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
Let f(x) = x2 and g(x) = 2X , for all real x. Then the value of f( f(g(x)) + g(f(x)) ) at x = 1 is
CAT - 2017
CAT
Quantitative Aptitude
Functions
If 9x-1/2-22x-2=4x-32x-3, then x is
CAT - 2017
CAT
Quantitative Aptitude
Functions
The minimum possible value of the sum of the squares of the roots of the equation x2 + (a + 3)x - (a + 5) = 0 is
CAT - 2017
CAT
Quantitative Aptitude
Maxima and Minima
If log (2a × 3b × 5C) is the arithmetic mean of log (22 × 33 × 5), log (26 × 3 × 57 ), and log (2 × 32 × 54 ), then a equals
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
Let a1 , a2 , a3 , a4 , a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a3.
If the sum of the numbers in the new sequence is 450, then a5 is
CAT - 2017
CAT
Quantitative Aptitude
Arithmetic Progression
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