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CAT 2021 Quantitative Ability Mock Tests & Questions

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CAT 2021 · Slot 1

Free

132 min · 66 questions · 198 marks

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CAT 2021 · Slot 2

Free

132 min · 66 questions · 198 marks

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CAT 2021 · Slot 1 1 section

Quantitative Ability

Free

44 min · 22 questions · 66 marks

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CAT 2021 · Slot 2 1 section

Quantitative Ability

Free

44 min · 22 questions · 66 marks

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Questions

Showing 44 of 44 matching questions

MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recover…
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MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11 each, then he makes a net profit of ₹ 300, while…
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the o…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The number of integers n that satisfy the inequalities |n − 60| < |n − 100| < |n − 20| is
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If r is a constant such that |x² − 4x − 13| = r has exactly three distinct real roots, then the value of r is?
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less t…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starti…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length in cm of each side of the hexagon is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
If 5 − log₁₀√(1 + x) + 4 log₁₀√(1 − x) = log₁₀(1/√(1 − x²)), then 100x equals
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same co…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the so…
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. If T is the mid point of CD, then the length of AT, in cm, is
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MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then the area of triangle in square inches is
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
f(x) = (x² + 2x − 15)/(x² − 7x − 18) is negative if and only if
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MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person w…
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium NAT (Numeric)
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
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MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ 806.25 and ₹ 866.72, respectively, the interest accrued, in INR, during the fourth…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
If x₀ = 1, x₁ = 2 and xₙ₊₂ = (1 + xₙ₊₁)/xₙ, n = 0, 1, 2, 3, ..., then x₂₀₂₁ is equal to
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 1 Quantitative Ability Medium MCQ (Single Correct)
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), and so on. Then, the sum of the numbers in the 15th group is equal to
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place di…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 pe…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BP…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Consider the pair of equations: x² − xy − x = 22 and y² − xy + y = 34. If x > y, then x − y equals
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container ar…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took ano…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match.…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
If log₂[3 + log₃{4 + log₄(x − 1)}] − 2 = 0, then 4x equals
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Raj invested ₹ 10000 in a fund. At the end of first year, he incurred a loss but his balance was more than ₹ 5000. This balance, when invested for another year, grew and the percentage of growth in the second year was fi…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
For a sequence of real numbers x₁, x₂, ..., xₙ, if x₁ − x₂ + x₃ − ... + (−1)⁽ⁿ⁺¹⁾xₙ = n² + 2n for all natural numbers n, then the sum x₄₉ + x₅₀ equals
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profi…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
For all possible integers n satisfying 2.25 ≤ 2 + 2ⁿ⁺² ≤ 202, the number of integer values of 3 + 3ⁿ⁺¹ is
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
For a real number x the condition |3x − 20| + |3x − 40| = 20 necessarily holds if
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Suppose one of the roots of the equation ax² − bx + c = 0 is 2 + √3, where a, b and c are rational numbers and a ≠ 0. If b = c³ then |a| equals
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is opened at 2 pm and pipe B is opened at 3 pm, then the tank becomes full at 10 pm. Instead, if pipe A is op…
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Three positive integers x, y and z are in arithmetic progression. If y − x > 2 and xyz = 5(x + y + z), then z − x equals
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MBA CAT 2021 Slot 2 Quantitative Ability Medium NAT (Numeric)
Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is:
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
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MBA CAT 2021 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
For all real values of x, the range of the function f(x) = (x² + 2x + 4)/(2x² + 4x + 9) is:
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