CAPFAC 2009-2025 Math & Reasoning Questions

Jul 14, 2026

113

Uploaded by Noah

A compilation of CAPFAC mathematics and reasoning multiple-choice questions spanning 2009–2025, covering topics such as number series, data interpretation, time and distance, time-work-profit, ratios and proportions, geometric and mensuration problems, clock problems, trains and speed/length reasoning, calendar/year patterns, divisibility and HCF, and logic/syllogism-style reasoning.

LanguageEnglish

CategoryExam

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Pages62

Reading Time2 h 36 min

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# 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 CAPF AC202 ## Math 二Number Serie8,Jamber Syłem→S工CTCSimples ComPouwd Tubest→miktues Alligction》 Da+ta Tnterpretation. Time s Distamce→ Menguration→ Percentboge→ Time B Work Profit8 Lgs→Ratio S ProportioyAsge→ipltiou=umbe Senes 3Mssig No.Blood Relefie~=Vein Diayrcm³celon&ewood formosiey Cock Boygd logiBasd2→ Syllogum→og ue习Sithing Aorargment Clamn ficosthem cdigg ecodg》ggRea8ing →Mimox waske Refleuiey ### 一) Dirediem sense 335 oot 8 cope2 euolowy ex.1st CAPF AC 2025 56.For any three natural numbers a,b and c, ,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 flg=1·5,what is thevalue 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)30

Jul 14, 2026

113

Uploaded by Noah