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CAT 2020 Quantitative Ability Mock Tests & Questions

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CAT 2020 · Slot 1

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152 min · 76 questions · 228 marks

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CAT 2020 · Slot 2

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152 min · 76 questions · 228 marks

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CAT 2020 · Slot 3

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152 min · 76 questions · 228 marks

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CAT 2020 · Slot 1 1 section

Quantitative Ability

Free

52 min · 26 questions · 78 marks

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CAT 2020 · Slot 2 1 section

Quantitative Ability

Free

52 min · 26 questions · 78 marks

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CAT 2020 · Slot 3 1 section

Quantitative Ability

Free

52 min · 26 questions · 78 marks

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Questions

Showing 50 of 78 matching questions

MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. The time, in seconds,…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete th…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Leaving home at the same time, Amal reaches office at 10:15 am if he travels at 8 km/hr, and at 9:40 am if he travels at 15 km/hr. Leaving home at 9:10 am, at what speed, in km/hr, must he travel so as to reach office ex…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then st…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
A person spent Rs. 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at 20% profit and the laptop at 10% loss. If overall he made a 2% profit then the purchase price, in rupees, of the deskt…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The mean of all 4-digit even natural numbers of the form ‘aabb’, where a > 0, is
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the seco…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Let A, B and C be three positive integers such that the sum of A and the mean of B and C is 5. In addition, the sum of B and the mean of A and C is 7. Then the sum of A and B is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
How many distinct positive integer-valued solutions exist to the equation (x² − 7x + 11)^(x² − 13x + 42) = 1?
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The number of real-valued solutions of the equation 2^x + 2^(−x) = 2 − (x − 2)² is
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7?
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, how many litres of dye…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
On a rectangular metal sheet of area 135 sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rec…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Among 100 students, x₁ have birthdays in January, x₂ have birthdays in February, and so on. If x₀ = max(x₁, x₂, ..., x₁₂), then the smallest possible value of x₀ is
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A solid right circular cone of height 27 cm is cut into two pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If x = (4096)^(7+4√3), then which of the following equals 64?
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
The number of distinct real roots of the equation (x + 1/x)² − 3(x + 1/x) + 2 = 0 equals
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg, of…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
Veeru invested Rs. 10,000 at 5% simple annual interest, and exactly after two years, Joy invested Rs. 8,000 at 10% simple annual interest. How many years after Veeru’s investment, will their balances, i.e., principal plu…
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A circle is inscribed in a rhombus with diagonals 12 cm and 16 cm. The ratio of the area of circle to the area of rhombus is
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If y is a negative number such that 2^(y² log₃5) = 5^(log₂3), then y equals
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MBA CAT 2020 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If f(5 + x) = f(5 − x) for every real x, and f(x) = 0 has four distinct real roots, then the sum of these roots is
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
If log₄5 = (log₄y) × (log₆√5), then y equals
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MBA CAT 2020 Slot 1 Quantitative Ability Medium NAT (Numeric)
The area of the region satisfying the inequalities |x| − y ≤ 1, y ≥ 0 and y ≤ 1 is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Let the m-th and n-th terms of a geometric progression be 3/4 and 12, respectively, where m < n. If the common ratio of the progression is an integer r, then the smallest possible value of r + n - m is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
For real x, the maximum possible value of x/√(1 + x⁴) is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more t…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3 : 2, while the ratio of the shares of Sunil and Mita is 4 : 5. If the difference between the largest and the small…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
Let C₁ and C₂ be concentric circles such that the diameter of C₁ is 2 cm longer than that of C₂. If a chord of C₁ has length 6 cm and is a tangent to C₂, then the diameter, in cm, of C₁ is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Let C be a circle of radius 5 meters having center at O. Let PQ be a chord of C that passes through points A and B where A is located 4 meters north of O and B is located 3 meters east of O. Then, the length of PQ, in me…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If they start…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
In how many ways can a pair of integers (x, a) be chosen such that x² − 2|x| + |a − 2| = 0?
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The sum of the perimeters of an equilateral triangle and a rectangle is 90 cm. The area, T, of the triangle and the area, R, of the rectangle, both in sq cm, satisfy the relationship R = T². If the sides of the rectangle…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Two circular tracks T₁ and T₂ of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T₁ and track T₂ at speeds 15 km/hr and 5 km/hr respectively. Th…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
If x and y are positive real numbers satisfying x + y = 102, then the minimum possible value of 2601(1 + 1/x)(1 + 1/y) is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent ₹ 150 more due to price increase of rice and wheat by 20% and 12%, respectively. If John had spent ₹ 450 on ri…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The value of logₐ(a/b) + log_b(b/a), for 1 < a ≤ b, cannot be equal to
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 less sharpeners. If the cost of one sharpener is ₹ 2 more than the cost of a pencil, then the…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
For the same principal amount, the compound interest for two years at 5% per annum exceeds the simple interest for three years at 3% per annum by Rs 1125. Then the principal amount in rupees is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The number of integers that satisfy the equality (x² − 5x + 7)^(x+1) = 1 is:
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosi…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium NAT (Numeric)
The number of pairs of integer (x, y) satisfying x ≥ y ≥ - 20 and 2x + 5y = 99 is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is s. Then the area of the triangle is
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by
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