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CAT 2023 Slot 3 Quantitative Ability Mock Tests & Questions

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CAT 2023 · Slot 3

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132 min · 66 questions · 198 marks

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CAT 2023 · Slot 3 1 section

Quantitative Ability

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44 min · 22 questions · 66 marks

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Questions

Showing 22 of 22 matching questions

MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
For some real numbers a and b, the system of equations x + y = 4 and (a + 5)x + (b² − 15)y = 8b has infinitely many solutions for x and y. Then, the maximum possible value of ab is?
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Let n and m be two positive integers such that there are exactly 41 integers greater than 8^m and less than 8^n, which can be expressed as powers of 2. Then, the smallest possible value of n + m is?
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
If x is a positive real number such that x⁸ + (1/x)⁸ = 47, then the value of x⁹ + (1/x)⁹ is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
For a real number x, if 1/2, log₃(2ˣ − 9)/log₃4, and log₅(2ˣ + 17/2)/log₅4 are in arithmetic progression, then the common difference is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is:
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
A quadratic equation x² + bx + c = 0 has two real roots. If the difference between the reciprocals of the roots is 1/3, and the sum of the reciprocals of the squares of the roots is 5/9, then the largest possible value o…
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
Let n be any natural number such that 5ⁿ⁻¹ < 3ⁿ⁺¹. Then, the least integer value of m that satisfies 3ⁿ⁺¹ < 2ⁿ⁺ᵐ for each such n, is?
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MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his cu…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
A boat takes 2 hours to travel downstream a river from port A to port B, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from port B to port A and return to port B. If the speeds of the b…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less than 15 days to finish the job. However, they…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
The population of a town in 2020 was 100000. The population decreased by y% from the year 2020 to 2021, and increased by x% from the year 2021 to 2022, where x and y are two natural numbers. If population in 2022 was gre…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
There are three persons A, B and C in a room. If a person D joins the room, the average weight of the persons in the room reduces by x kg. Instead of D, if person E joins the room, the average weight of the persons in th…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new mixture C. If he mixes C w…
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 banana…
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
The number of coins collected per week by two coin-collectors A and B are in the ratio 3 : 4. If the total number of coins collected by A in 5 weeks is a multiple of 7, and the total number of coins collected by B in 3 w…
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then, the number of days…
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MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Let triangle ABC be isosceles triangle such that AB and AC are of equal length. AD is the altitude from A on BC and BE is the altitude from B on AC. If AD and BE intersect at O such that ∠AOB = 105°, then AD/BE equals?
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
A rectangle with the largest possible area is drawn inside a semicircle of radius 2 cm. Then, the ratio of the lengths of the largest to the smallest side of this rectangle is?
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
In a regular polygon, any interior angle exceeds the exterior angle by 120 degrees. Then, the number of diagonals of this polygon is
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MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
Let aₙ = 46 + 8n and bₙ = 98 + 4n be two sequences for natural numbers n ≤ 100. Then, the sum of all terms common to both the sequences is
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
MBA CAT 2023 Slot 3 Quantitative Ability Medium MCQ (Single Correct)
The value of 1 + (1 + 1/3)(1/4) + (1 + 1/3 + 1/9)(1/16) + (1 + 1/3 + 1/9 + 1/27)(1/64) + ..., is
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MBA CAT 2023 Slot 3 Quantitative Ability Medium NAT (Numeric)
Suppose f(x, y) is a real-valued function such that f(3x + 2y, 2x − 5y) = 19x, for all real numbers x and y. The value of x for which f(x, 2x) = 27, is:
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