CAT 2022 Slot 1 QA questions, answer key and solutions

The Quantitative Ability (QA) section of CAT 2022 Slot 1: 22 questions in 40 minutes, 8 TITA and 14 MCQ. The answer key below is CAT's official one; 22 questions link to a step-by-step solution.

QQuestionTopicTypeAnswerSolution
Q1Let ABCD be a parallelogram such that the coordinates of its…Coordinate GeometryMCQAYes
Q2The number of ways of distributing 20 identical balloons…Permutations & ProbabilityTITA84Yes
Q3A mixture contains lemon juice and sugar syrup in equal…Ratio, Mixtures & AveragesMCQDYes
Q4For natural numbers x, y , and z , if x y+y z=19 and y z+x…Number SystemsTITA34Yes
Q5Let a, b, c be non-zero real numbers such that b^2 4 a c…EquationsMCQBYes
Q6Trains A and B start traveling at the same time towards each…Time, Speed & DistanceMCQAYes
Q7The average of three integers is 13 . When a natural number…Ratio, Mixtures & AveragesMCQCYes
Q8Pinky is standing in a queue at a ticket counter. Suppose…Ratio, Mixtures & AveragesTITA111Yes
Q9Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds…Percentages & Profit-LossMCQCYes
Q10The largest real value of a for which the equation…Inequalities & ModulusMCQCYes
Q11A trapezium ABCD has side AD parallel to BC, BAD=90^, BC=3…GeometryTITA66Yes
Q12For any real number x , let [x] be the largest integer less…Number SystemsTITA44Yes
Q13In a village, the ratio of number of males to females is 5…Ratio, Mixtures & AveragesTITA43200Yes
Q14Amal buys 110 kg of syrup and 120 kg of juice, syrup being…Ratio, Mixtures & AveragesTITA160Yes
Q15Let a and b be natural numbers. If a^2+a b+a=14 and b^2+a…EquationsMCQDYes
Q16Alex invested his savings in two parts. The simple interest…InterestMCQBYes
Q17In a class of 100 students, 73 like coffee, 80 like tea and…Set TheoryMCQCYes
Q18For any natural number n , suppose the sum of the first n…Progressions & SeriesMCQCYes
Q19All the vertices of a rectangle lie on a circle of radius R…GeometryMCQBYes
Q20The average weight of students in a class increases by 600…Ratio, Mixtures & AveragesMCQDYes
Q21Let A be the largest positive integer that divides all the…Number SystemsTITA82Yes
Q22Let 0 ≤ a ≤ x ≤ 100 and f(x)=|x-a|+|x-100|+|x-a-50| . Then…Inequalities & ModulusMCQDYes

Topics in this section

TopicQuestions
Ratio, Mixtures & Averages6
Number Systems3
Equations2
Geometry2
Inequalities & Modulus2
Coordinate Geometry1
Interest1
Percentages & Profit-Loss1
Permutations & Probability1
Progressions & Series1
Set Theory1
Time, Speed & Distance1

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