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CAT 2022 Quantitative Ability Mock Tests & Questions

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CAT 2022 · Slot 2

Free

130 min · 65 questions · 195 marks

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CAT 2022 · Slot 3

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130 min · 65 questions · 195 marks

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CAT 2022 · Slot 2 1 section

Quantitative Ability

Free

44 min · 22 questions · 66 marks

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CAT 2022 · Slot 3 1 section

Quantitative Ability

Free

44 min · 22 questions · 66 marks

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Questions

Showing 44 of 44 matching questions

MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
The number of distinct integer values of n satisfying (4 − log₂ n)/(3 − log₄ n) < 0, is
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
Suppose for all integers x, there are two functions f and g such that f(x) + f(x − 1) − 1 = 0 and g(x) = x². If f(x² − x) = 5, then the value of the sum f(g(5)) + g(f(5)) is
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, an…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Consider the arithmetic progressions 3, 7, 11, ... and let Aₙ denote the sum of the first n terms of this progression. Then the value of (1/25) ∑ₙ₌₁²⁵ Aₙ is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
If a and b are non-negative real numbers such that a + 2b = 6, then the average of the maximum and minimum values of (a + b) is:
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MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
Mr. Pinto invests one-fifth of his capital at 6%, one-third at 10% and the remaining at 1%, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from th…
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MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu…
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
For some natural number n, assume that (15,000)! is divisible by (n!)!. The largest possible value of n is:
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
The average of a non-decreasing sequence of N numbers a₁, a₂, . . . , a_N is 300. If a₁ is replaced by 6a₁, the new average becomes 400. Then, the number of possible values of a₁ is
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Let f(x) be a quadratic polynomial in x such that f(x) ≥ 0 for all real numbers x. If f(2) = 0 and f(4) = 6, then f(−2) is equal to
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Let r and c be real numbers. If r and −r are roots of 5x³ + cx² − 10x + 9 = 0, then c equals
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his monthly expense was ₹3500, and he foresees that, tenth month onward, his monthly expense will increase to…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Five students, including Amit, appear for an examination in which possible marks are integers between 0 and 50, both inclusive. The average marks for all the students is 38 and exactly three students got more than 32. If…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
The number of integral solutions of the equation (x² − 10)^(x² − 3x − 10) = 1 is:
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks i…
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
In triangle ABC, altitudes AD and BE are drawn to the corresponding bases. If ∠BAC = 45° and ∠ABC = θ, then AD/BE equals
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium NAT (Numeric)
Regular polygons A and B have number of sides in the ratio 1 : 2 and interior angles in the ratio 3 : 4. Then the number of sides of B equals
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MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
On day one, there are 100 particles in a laboratory experiment. On day n, where n ≥ 2, one out of every n particles produces another particle. If the total number of particles in the laboratory experiment increases to 10…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are 60 km apart. If the speed of one of the ships is 6 km per hour more than…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
The length of each side of an equilateral triangle ABC is 3 cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABD. Then the length of AD, in cm, is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
The minimum possible value of (x² − 6x + 10)/(3 − x), for x < 3, is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
In a triangle ABC, AB = AC = 8 cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then, the area in sq. cm, of the overlapping region between the two ci…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
If (√(7/5))^(3x − y) = 875/2401 and (4a/b)^(6x − y) = (2a/b)^(y − 6x), for all non-zero real values of a and b, then the value of x + y is
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MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator if he walks at twice his normal speed in the same direc…
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MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across bot…
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MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction.…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Suppose k is any integer such that the equation 2x² + kx + 5 = 0 has no real roots and the equation x² + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k is
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MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 1 cm, 2 cm and 4 cm, then the total number of possible lengths of the fourth side is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travelled 8 km, the triangl…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
If c = 16x/y + 49y/x for some non-zero real numbers x and y, then c cannot take the value
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
The average of all 3-digit terms in the arithmetic progression 38, 55, 72, ..., is
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MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is lef…
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MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the two largest numbers is 28. Then, the maximum possible value of the average of these six numbers is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Let r be a real number and f(x) = 2x − r if x ≥ r, and f(x) = r if x < r. Then, the equation f(x) = f(f(x)) holds for all real values of x where
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, the area of the triangle EOD, in sq. cm., is
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MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
If (3 + 2√2) is a root of the equation ax² + bx + c = 0, and (4 + 2√3) is a root of the equation ay² + my + n = 0, where a, b, c, m and n are integers, then the value of (b/m + (c − 2b)/n) is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
Bob can finish a job in 40 days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second d…
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MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Nitu has an initial capital of Rs. 20,000. Out of this, she invests Rs. 8,000 at 5.5% in bank A, Rs. 5,000 at 5.6% in bank B and the remaining amount at x% in bank C, each rate being simple interest per annum. Her combin…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. No…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2022 Slot 3 Quantitative Ability Medium NAT (Numeric)
A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of ₹15250. Then, the maximum possible number of cheques…
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