Question 36

A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider the following statements:

1. The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one colour is 175.
2. The smallest number m such that any m balls drawn from the box randomly must contain one full group of at least one colour is 167.
Which of the above statments is/are correct?

CAT Quant Questions | CAT Quantitative Ability

CAT Time Speed Distance QuestionsCAT Arithmetic QuestionsCAT Remainders QuestionsCAT Mensuration QuestionsCAT Quadratic Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data change over a period QuestionsCAT Data Interpretation Basics QuestionsCAT Special Charts QuestionsCAT Scheduling QuestionsCAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning QuestionsCAT Grammar and Sentence Correction QuestionsCAT Para Summary QuestionsCAT Reading Comprehension QuestionsCAT Vocabulary Questions

Free CAT DILR Questions

CAT Routes And NetworksCAT Miscellaneous LRCAT Quant Based DICAT Venn DiagramsCAT Selection With ConditionCAT ArrangementCAT Table based DI SetsCAT DI MiscellaneousCAT Data InterpretationCAT Special ChartsCAT Maxima-MinimaCAT SchedulingCAT ChartsCAT Truth Lie ConceptCAT 2D & 3D LRCAT Data change over a periodCAT Coins and WeightsCAT Data Interpretation BasicsCAT Games and TournamentsCAT PuzzlesCAT DI with connected data setsCAT Quant Based LR

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI