CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

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Approsch pls: Two nos when divided by a certain divisor, leave remainders 238 and 342 respectively. When the sum of the numbers is divided by the same divisor, the remainder is 156. Find the divisor?

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Pipe A takes 3/4 of the times required by pipe B to fill the empty tank individually. When an outlet pipe C also opened simultaneously with pipe A and pipe B it takes 3/4 more time to fill the empty tank than it takes when only pipe A and pipe B are opened together. if it takes to fill 33hrs when all the 3 pipes are opened simultaneously, then in what time pipe C can empty the full tank by operating alone.

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An intresting question!!!


100 people standing in a circle in an order 1 to 100. A sword is given to the person on the 1st position who kills the 2nd person and hands the sword to the 3rd person who kills the 4th person and so on. What would be the position of the survivor?


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In an exam, the max marks for each of the three papers is 50 each. The max marks for the fourth is 100. Find the no. of ways a student can score 60% in aggregate.

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Hi. Am having trouble understanding this explanation. (#17 in the picture) In the last step, why is 47 multiplied with the result of Rem [50!/47] ?... *PS: Question is: Find the remainder of 50!/(47)^2

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*What will be the remainder when 67896789......(300 digits) is divided by 999? How to solve this? Grouping of 3s is not possible here.

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 Q. In a group of 100 students, each student has to opt for one or more of the 3 subjects among Physics, Chem and Maths. The number of students opting for maths is more than that of physics which in turn is more than that of chem, which in turn, is more than the no of students opting for exactly 2 of the 3 subjects, which in turn, is more than the no of students opting for all the 3 subjects. It is also said that at least one student opted for all the 3 subjects.

1. Max no of students opting for chem?
a)72 b)79 c)80 d)81 e)None of these

2. Min no of students opting for maths?
a)38 b)37 c)36 d)35 e)34

3. If exactly half the students opted for maths, what is the max no of students who opted for all the three subjects?
a)15 b)16 c)17 d)18 e)19

4. Max no of students who opted for only physics?
a)33 b)50 c)49 d)48 e)52

5. Max no of students who opted for physics and chem but not maths?
a)47 b)48 c)49 d)50 e)51 

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