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CAT 2020 Slot 1 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 1 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 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,…
+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)
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…
+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)
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…
+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)
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…
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
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
+3.00 marks · -1.00 negative Take full test: CAT Previous Year Question Bank →
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…
+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)
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
+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)
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…
+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)
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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