5 Questions
A sphere is inscribed in a cube. If the ratio of the volume of the sphere to the volume of the cube is 52:125, what is the ratio of the surface area of the sphere to the surface area of the cube?
1:5
Quantity I: The 10th term of the sequence 2, 5, 8, ... Quantity II: The 5th term of the sequence 7, 12, 17, ... Which quantity is greater?
Quantity II is greater
If $x^2 + ax + b = 0$ has roots $α$ and $β$, and $rac{1}{α} + rac{1}{β} = 4$, which of the following could be the equation?
$x^2 - 4x + 4 = 0$
A mixture of 480 liters of milk and water contains 12% water. If 120 liters of water is added to the mixture, and then 120 liters of the mixture is removed, what percentage of the final mixture is water?
16%
A standard deck of 52 cards is shuffled, and two kings are removed and replaced with two spades. What is the probability that a spade is drawn?
1/13
Study Notes
PO Mains Level Arithmetic Questions
- Data Sufficiency: One question involving a sphere inside a cube, comparing values with a cylinder.
- Quadratic Equation: One question with an unknown constant term and unknown coefficient of x, where the constant term is found based on a condition, and the goal is to find an equation from the options with similar roots.
- Quantity Comparison: One question involving a number series with a common direction for Quantity I and Quantity II, based on an arithmetic series.
- Probability: One question involving replacing two king cards and a spade.
- Mixture and Alligation: One question involving replacing a mixture two times, with different quantities replaced in both occasions, using variables.
Practice arithmetic questions for PO Mains exam, covering topics like data sufficiency, quadratic equations, and quantity comparison. Test your skills and prepare for the exam.
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