CAT 2025 Slot 1 QA questions, answer key and solutions

The Quantitative Ability (QA) section of CAT 2025 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
Q1If a-6 b+6 c=4 and 6 a+3 b-3 c=50 , where a, b and c are…EquationsMCQAYes
Q2A cafeteria offers 5 types of sandwiches. Moreover, for each…Permutations & ProbabilityMCQAYes
Q3The number of distinct integers n for which log _(1/4)(n^2-7…Logarithms & ExponentsMCQBYes
Q4In the set of consecutive odd numbers 1,3,5, , 57 , there is…Progressions & SeriesMCQAYes
Q5In a 3-digit number N, the digits are non-zero and distinct…Number SystemsTITA6Yes
Q6At a certain simple rate of interest, a given sum amounts to…InterestMCQDYes
Q7The number of non-negative integer values of k for which the…EquationsTITA3Yes
Q8A value of c for which the minimum value of f(x)=x^2-4 c x+8…Inequalities & ModulusMCQDYes
Q9A container holds 200 litres of a solution of acid and…Ratio, Mixtures & AveragesMCQDYes
Q10Shruti travels a distance of 224 km in four parts for a…Time, Speed & DistanceMCQDYes
Q11The ratio of the number of students in the morning shift and…Ratio, Mixtures & AveragesMCQDYes
Q12In a circle with center C and radius 6 √(2) ~cm, P Q and S R…GeometryMCQCYes
Q13The (x, y) coordinates of vertices P, Q and R of a…Coordinate GeometryMCQBYes
Q14In a class, there were more than 10 boys and a certain…Number SystemsTITA55Yes
Q15If the length of a side of a rhombus is 36 cm and the area…GeometryTITA60Yes
Q16A shopkeeper offers a discount of 22% on the marked price of…Percentages & Profit-LossTITA175Yes
Q17The number of distinct pairs of integers (x, y) satisfying…Inequalities & ModulusTITA16Yes
Q18Arun, Varun and Tarun, if working alone, can complete a task…Time & WorkMCQDYes
Q19For any natural number k , let a_k=3^k . The smallest…Logarithms & ExponentsMCQCYes
Q20Stocks A, B and C are priced at rupees 120, 90 and 150 per…EquationsTITA15Yes
Q21Kamala divided her investment of Rs 100000 between stocks…EquationsTITA900Yes
Q22Let 3 ≤ x ≤ 6 and [x^2]=[x]^2 , where [x] is the greatest…Inequalities & ModulusMCQDYes

Topics in this section

TopicQuestions
Equations4
Inequalities & Modulus3
Geometry2
Logarithms & Exponents2
Number Systems2
Ratio, Mixtures & Averages2
Coordinate Geometry1
Interest1
Percentages & Profit-Loss1
Permutations & Probability1
Progressions & Series1
Time & Work1
Time, Speed & Distance1

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