CAT & OMETs JEE JEE Foundation IPMAT GMAT Adda Success Stories

91- 6303239042 ☄️Upto 70% off

Question 124

If $$63 \times 65 \times 67 \times 69$$ is divided by 12 then the remainder obtained is

Solution

Solution:

Principle used to solve :Rem (A x B) = Rem. (A) x Rem. (B)

A/q

When divided by 12

Rem. (63 x 65 x 67 x 69) = Rem. (63) x Rem.(65) x Rem.(67) x Rem.(69)

The common multiple of 12 samller than all the above nos. is 60. So taking 60 as reference.

Rem. (63) x Rem.(65) x Rem.(67) x Rem.(69) = Rem. (3 x 5 x7 x9) = Rem.(945)

945 leaves a remainder of 9 when divided by 12, as 936 is the closest multiple of 12 before 945.

Hence Answer 9

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

Get AI Help

View More Questions From Quant

Create a FREE account and get:

Download Maths Shortcuts PDF
Get 300+ previous papers with solutions PDF
500+ Online Tests for Free

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Simple Interest Compound Interest Questions CAT Averages Questions CAT Time, Speed and Distance Questions CAT Progressions and Series Questions CAT Time Speed Distance Questions

CAT DILR Questions | LRDI Questions For CAT

CAT DI with connected data sets Questions CAT Miscellaneous LR Questions CAT Quant Based LR Questions CAT Charts Questions CAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension Questions CAT Vocabulary Questions CAT Critical Reasoning Questions CAT Odd One Out Questions CAT Para Summary Questions

Free CAT Topicwise Questions

CAT Coordinate Geometry CAT Vocabulary CAT Averages CAT Simple Interest Compound Interest CAT Mensuration CAT Data Interpretation CAT Profit And Loss CAT Quadratic Equations CAT Games and Tournaments CAT Progressions and Series CAT Linear Equations CAT Number Systems CAT Charts CAT Miscellaneous CAT Data Interpretation Basics CAT Data change over a period CAT Truth Lie Concept CAT Quant Based DI CAT Table based DI Sets CAT Averages Mixtures Alligations CAT Grammar and Sentence Correction CAT Logarithms, Surds and Indices CAT Special Charts CAT Ssc Reasoning CAT Averages, Ratio and Proportion CAT Time Speed Distance CAT Routes And Networks CAT Venn Diagrams CAT Para Summary CAT Coins and Weights CAT Time, Speed and Distance CAT Functions, Graphs and Statistics CAT Percentages CAT Geometry CAT Venn Diagrams CAT Time And Work CAT DI Miscellaneous CAT Scheduling CAT Para Jumbles CAT Data Sufficiency CAT DI with connected data sets CAT 2D & 3D LR CAT Maxima-Minima CAT Reading Comprehension CAT Odd One Out CAT Selection With Condition CAT Verbal Ability CAT Remainders CAT Number Series CAT Quant Based LR CAT Miscellaneous LR CAT Critical Reasoning CAT Probability, Combinatorics CAT Puzzles CAT Inequalities CAT Arrangement CAT Arithmetic CAT Logarithms CAT Algebra CAT Profit and Loss

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

CAT mentor

Phone Number

Preferred Time

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

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

Enroll Now

cracku download image

Ask our AI anything

AI can make mistakes. Please verify important information.