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Practice Quiz for Quantitative Aptitude

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Question 1

Determine the value(s) of “a” for which the point (a, a²) lies inside the triangle formed by the lines:
$Description: E:\CAT\XAT\XAT_2010_Question_Paper_and_Ans_Key_files\image046.png$ and $Description: E:\CAT\XAT\XAT_2010_Question_Paper_and_Ans_Key_files\image047.png$

Question 2

Let $Description: E:\CAT\XAT\XAT_2010_Question_Paper_and_Ans_Key_files\image069.png$ be the squares such that for each $Description: E:\CAT\XAT\XAT_2010_Question_Paper_and_Ans_Key_files\image070.png$ the length of the diagonal of Sn is equal to the length of the side of $Description: E:\CAT\XAT\XAT_2010_Question_Paper_and_Ans_Key_files\image071.png$ If the length of the side of S₃ is 4 cm, what is the length of the side of S_n?

Question 3

ABCD is a parallelogram with ∠ABC = 60 °. If the longer diagonal is of length 7 cm and the area of the parallelogram ABCD is $Description: E:\CAT\XAT\XAT_2010_Question_Paper_and_Ans_Key_files\image099.png$ sq.cm, then the perimeter of the parallelogram (in cm) is

Question 4

A manufacturer has 200 litres of acid solution which has 15% acid content. How many litres of acid solution with 30% acid content may be added so that acid content in the resulting mixture will be more than 20% but less than 25%?

Question 5

City Bus Corporation runs two buses from terminus A to terminus B, each bus making 5round trips in a day. There are no stops in-between. These buses ply back and forth on the same route at different but uniform speeds. Each morning the buses start at 7 AM from the respective terminuses. They meet for the first time at a distance of 7 km from terminus A. Their next meeting is at a distance of 4 km from terminus B, while travelling in opposite directions. Assuming that the time taken by the buses at the terminuses is negligibly small, and the cost of running a bus is Rs.20 per km, find the daily cost of running the buses (in Rs.).

Question 6

Shyam, a fertilizer salesman, sells directly to farmers. He visits two villages A and B. Shyam starts from A, and travels 50 meters to the East, then 50 meters North-East at exactly 45 ° to his earlier direction, and then another 50 meters East to reach village B. If the shortest distance between villages A and B is in the form of $Description: E:\CAT\XAT\XAT_2012_Question_Paper_and_Ans_Key_files\image011.png$ meters, find the value of $Description: E:\CAT\XAT\XAT_2012_Question_Paper_and_Ans_Key_files\image012.png$

Question 7

Circle C1 has a radius of 3 units. The line segment PQ is the only diameter of the circle which is parallel to the X axis. P and Q are points on curves given by the equations y= a^x and y=2a^xrespectively, where $Description: E:\CAT\XAT\XAT_2014_Question_Paper_and_Ans_Key_files\image066.png$ The value of a is:

Question 8

The probability that a randomly chosen positive divisor of 10²⁹ is an integer multiple of 10²³ is: $Description: E:\CAT\XAT\XAT_2014_Question_Paper_and_Ans_Key_files\image053.png$ then ‘b – a’ would be:

Question 9

70% of the students who joined XLRI last year play football, 75% play cricket, 80% play basketball and 85% play carom. The minimum percentage of students who play all four games is:

Question 10

The value of the expression:
$Description: E:\CAT\XAT\XAT_2014_Question_Paper_and_Ans_Key_files\image140.png$ is

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CAT & MBA Quantitative Aptitude

Dec 22CAT & MBA