M04

Reasoning & Quantitative Aptitude

Arithmetic, ratios, mensuration, data interpretation, logical reasoning

36
questions
in this head
0
cite a source
rule or reference
22
subtopics
covered

UPSC publishes no per-head weightage for this test, so none is invented here. Question counts are read from the live bank when this page is built.

Subtopics in this bank

AlgebraCalendarsClocksCubes & diceLCM & HCFMensurationNumbersPercentagesProbabilityProblems on agesProfit & lossProgressionsRankingRatio & proportionSeries & sequencesSets & Venn diagramsSimple interestSpeed & racesSpeed, time & distanceStatisticsSurds & indicesTime & work

Sample questions, with the reasoning

Every served question is explained like this — including why each wrong option is wrong.

5 men can complete a work in 52 days. In how many days will 13 men finish the same work?

  • A)52
  • B)26
  • C)20
  • D)30

Why C is correct

The work is 5 x 52 = 260 man-days. With 13 men, the time = 260/13 = 20 days.

AI fact-checked

A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5:6:7. If the total amount is ₹390, find the number of coins of each kind.

  • A)200, 280, 240
  • B)240, 200, 280
  • C)200, 240, 280
  • D)280, 240, 200

Why C is correct

Let the counts be 5x, 6x, 7x. Value = 5x(1) + 6x(0.50) + 7x(0.25) = 5x + 3x + 1.75x = 9.75x = 390, so x = 40. The counts are 200, 240 and 280.

AI fact-checked

A constable is 114 m behind a thief. The constable runs 21 m and the thief 15 m in a minute. In what time will the constable catch the thief?

  • A)16 min
  • B)17 min
  • C)18 min
  • D)19 min

Why D is correct

The constable gains 21 − 15 = 6 m every minute, so closing the 114 m gap takes 114/6 = 19 minutes.

AI fact-checked

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