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CAT 2020 Slot 2 Quantitative Ability Mock Tests & Questions

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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 2 1 section

Quantitative Ability

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52 min · 26 questions · 78 marks

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Questions

Showing 26 of 26 matching questions

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
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
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
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
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…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
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
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
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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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thu…
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MBA CAT 2020 Slot 2 Quantitative Ability Medium MCQ (Single Correct)
Let f(x) = x² + ax + b and g(x) = f(x + 1) – f(x – 1). If f(x) ≥ 0 for all real x, and g(20) = 72, then the smallest possible value of b is:
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