CAT 2024 Progression Question (Hard)

Question

In a school, the number of students in each class, from Class I to X, in that order, are in an arithmetic progression. The total number of students from Class I to V is twice the total number of students from Class VI to X. If the total number of students from Class I to IV is 462, how many students

Optima Learn · Accepted Answer

Let the number of students in Class I be a and the common difference of the arithmetic progression be d. Then Class I to X have a, a d, a 2d, dots, a 9d. The sum from Class I to IV is S_ 14 a a d a 2d a 3d 4a 6d 462. The sum from Class I to V is S_ 15 5a 10d. The sum from Class VI to X is S_ 610 a 5

CAT 2024 Progression — Previous Year Question

CAT 2024

Quantitative

Progression

Hard

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