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CAT 2017 Quantitative Ability Mock Tests & Questions

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CAT 2017 · Slot 1

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200 min · 100 questions · 300 marks

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CAT 2017 · Slot 2

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200 min · 100 questions · 300 marks

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CAT 2017 · Slot 1 1 section

Quantitative Ability

Free

68 min · 34 questions · 102 marks

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CAT 2017 · Slot 2 1 section

Quantitative Ability

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68 min · 34 questions · 102 marks

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Questions

Showing 50 of 68 matching questions

MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficienc…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the b…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a profit of 20%?
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the origin…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A stall sells popcorn and chips in packets of three sizes : large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium quality mangoes from the market and then sells all these at a common price which is 10%…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If a and b are integers of opposite signs such that (a + 3)² : b² = 9 : 1 and (a − 1)² : (b − 1)² = 4 : 1, then the ratio a² : b² is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A class consists of 20 boys and 30 girls. In the mid semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by 3 while…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC. Let BPC be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm th…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio 1 : 1 : 8 : 27 : 27. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the origin…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9π cm³. Then the vertical distance, in cm, of the topmost point of the ball from th…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per…
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Suppose, log₃x = log₁₂y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log₆G is equal to :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If x + 1 = x² and x > 0, then 2x⁴ is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The value of log₀.₀₀₈√5 + log√3 81 − 7 is equal to : (log₀.₀₀₈√5 is log of √5 to base 0.008; log√3 81 is log of 81 to base √3)
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If 9^(2x−1) − 81^(x−1) = 1944, then x is
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The number of solutions (x, y, z) to the equation x – y – z = 25, where x, y, and z are positive integers such that x ≤ 40, y ≤ 12, and z ≤ 12 is
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
If f1(x) = x² + 11x + n and f2(x) = x, then the largest positive integer n for which the equation f1(x) = f2(x) has two distinct real roots, is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
If a, b, c, and d are integers such that a + b + c + d = 30, then the minimum possible value of (a − b)² + (a − c)² + (a − d)² is
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MBA CAT 2017 Slot 1 Quantitative Ability Medium NAT (Numeric)
Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle?
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The shortest distance of the point (1/2, 1) from the curve y = |x − 1| + |x + 1| is
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If f(x) = (5x + 2)/(3x − 5) and g(x) = x² − 2x − 1, then the value of g(f(f(3))) is :
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MBA CAT 2017 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Let a₁, a₂, ..., a₃ₙ be an arithmetic progression with a₁ = 3 and a₂ = 7. If a₁ + a₂ + ... + a₃ₙ = 1830, then what is the smallest positive integer m such that m(a₁ + a₂ + ... + aₙ) > 1830?
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MBA CAT 2017 Slot 2 Quantitative Ability Medium NAT (Numeric)
The numbers 1, 2, …, 9 are arranged in a 3 × 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value. If the top left a…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium NAT (Numeric)
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?
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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 m…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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 inche…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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 th…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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?
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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 t…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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)?
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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 i…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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…
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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
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MBA CAT 2017 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
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 equal in length. The perpendicular distance between the parallel s…
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