CAPFAC 2009-2025 Math & Reasoning Questions

Jul 15, 2026

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A compilation of CAPFAC 2009–2025 math and reasoning multiple-choice questions. The content covers topics such as number theory, averages and percentages, geometry and circle-related ratios, time and distance, mixtures/alligation, clock problems, trains and platform timing, and algebraic relations with HCF and powers.

LanguageEnglish

CategoryExam

FormatPDF

Pages62

Reading Time2 h 36 min

# CAPFAC 2009-2025Math &Reasoning Questions Credit :Team Study Funda Copyright by Study Funda.All rights are reserved.Nopart of this document may be reproduced,stored in aretrieval system or transmitted in any form or by anymeans,electronic,mechanical,photocopying,recording orotherwise,without prior permission of Study Funda CAPFAC202 ## Math →SimplifistiouPofit gLgg→TimeB WorkDa+a Tn+expretqtion》→Rato sProportioyAverage=umbee →S·工CT∠Simples Compouwd Tubeg→Percentoge→Menguratiom.Mixture’s Alligation→Time s Distamce Senies sMsig NoClxi fiothem习Sithing AxargmentBlood Relie=Vein Diagrcm→cedon&e2Wood formosiey dlock Bayedlogic asd2Sy{logumCoumHiugf figuseodiggoecodig→AnalogyRe8m →Mimo×s wakez Reflectien 一Direuiey sense 35 3 少 Moot 8 chepk2s (GrtenLslourz) Mostmgmp cepe2 CAPF AC 2025 56.For any three natural numbers a,band c,if,then the value ofabc is(a)30(b)45(c)60(d)75 57.If n is an integer larger than 1,thenwhat is the least value of the integern+n₂+n3?(a)1(b)3(c)76(d)785 58.The unit digit of (3×1+4×2×1+5×3×2×1+…+20×18×17×…×2×1)is(a)2(b)3(c)4(d)5 59.A point P on the ground is on the sameline as the bases and the tips of a pair oftrees A and B such that P is on the leftof both these trees.The ratio of heightsof A and B is 1:3.If the distancebetween P and A is a metre,then thedistance between Aand B,in metre,is(a)a(b)2a(c)3a(d)4a 60.Four cylindrical drums,each of radius1 m,are placed such that each onetouches other two drums.A sewer pipeis to be placed through the gap of thesedrums.What could be the maximumpossible radius for this pipe?(a)(√2+1)m(b)(√2-1)m(c)(π√2-1)m(d)(π√2+1)m 61.P and Q are two points on a highway,300 km apart.Two bikers A and B startat the same time from P towards Q.The speed of B is 12 km/h less thanthat of A.On reaching point Q,biker Aimmediately returns towards P.Hemeets B on the road at a place 60 kmaway from Q.What is the speed of A?(a)38 km/h(b)30 km/h(c)36 km/h(d)35 km/h 62.A clock is set right at 8:00 AM in themorning.The minute hand and the hourhand of the clock come together afterevery 65 minutes.What is the actualtime when the clock shows 8:00 PM,approximated to the nearest minutes?(a)8:05 PM(b)8:00 PM(c)7:55 PM(d)8:02 PM 63.A triangle of sides 18 cm,24 cm and30 cm is inscribed in a circle.The ratioof the area of the circle to that of thetriangle is approximately(a)1:π(b)√π:1(c)π:1(d)√π:2 64.If a/b=2,b/c=3,c/d=4,d/e=3, e/f=2 and fIg=1·5,what is the value of (a)144 (b)216 (c)225 (d)120 65.Which one of the following years willhave identical calendar with theyear 2025?(a)2028(b)2029(c)2030(d)2031 66.Two trains A and Bare entering a railwayplatform from opposite direction.Thelength of the platform is 300 m.Thespeed of B is two times the speed of A.The time taken by B to cross theplatform is one-third of the time takenby A to cross the platform.If the sum ofthe lengths of A and B is 500 m,whatis the difference in their lengths?(a)220 m(b)250 m(c)200 m(d

Jul 15, 2026

Upload by Patrick