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Math Placement Test Q&A Complete Study and Practice Resource

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Math Aptitude Questions and Answers for Placement Tests is a focused study guide designed for students and job seekers preparing for placement exams that emphasize mathematical reasoning. This guide covers all core areas of math aptitude commonly tested, including arithmetic, algebra, geometry, percentages, ratios, averages, number series, data interpretation, and problem-solving techniques. Each question comes with a fully worked-out solution, providing step-by-step explanations that help learners understand concepts, identify shortcuts, and solve problems efficiently under timed conditions. This resource strengthens analytical thinking, accuracy, and speed—key skills for succeeding in competitive placement tests, entrance exams, and job assessments. Ideal for self-study, practice, or exam review, this guide equips learners with the tools to tackle any math-based aptitude test confidently, ensuring readiness for real-world placement assessments and boosting performance in quantitative reasoning sections.

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Institution
College Math
Course
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Institution
College Math
Course
College Math

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Uploaded on
January 18, 2026
Number of pages
325
Written in
2025/2026
Type
Exam (elaborations)
Contains
Questions & answers

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Table of Contents
PROFIT AND LOSS ...................................................................................................................................................................................... 3

PROBABILITY .................................................................................................................................................................................................. 9

PERMUTATIONS & COMBINATIONS .......................................................................................................................................... 16

NUMBERS ...................................................................................................................................................................................................... 21

PROBLEMS ON HCF AND LCM ...................................................................................................................................................... 47

TIME AND WORK ...................................................................................................................................................................................... 52

PIPES AND CISTERNS ........................................................................................................................................................................... 57

PERCENTAGES ........................................................................................................................................................................................... 58

AVERAGES ..................................................................................................................................................................................................... 62

ALLIGATIONS AND MIXTURES ........................................................................................................................................................ 63

PROBLEMS ON TRAINS ...................................................................................................................................................................... 63

GEOMETRY, COORDINATE GEOMETRY ................................................................................................................................. 64

TIME, SPEED, DISTANCE.................................................................................................................................................................... 65

SIMPLE INTEREST & COMPOUND INTEREST.................................................................................................................... 68

PROBLEMS ON AGES............................................................................................................................................................................ 70

CLOCKS & CALENDARS ...................................................................................................................................................................... 71

RATIOS & PROPORTIONS .................................................................................................................................................................. 72

LOGARITHMS .............................................................................................................................................................................................. 73

ALGEBRA........................................................................................................................................................................................................ 76

SURDS & INDICES .................................................................................................................................................................................. 82

DATA SUFFICIENCY................................................................................................................................................................................... 84

AMCAT REASONING PART................................................................................................................................................................ 84

BLOOD RELATIONSHIP ....................................................................................................................................................................... 84

DIRECTION SENSE .................................................................................................................................................................................. 91

ODD MAN OUT........................................................................................................................................................................................... 99

STATEMENT AND CONCLUSIONS ..............................................................................................................................................106

SEATING ARRANGMENTS ...............................................................................................................................................................112

CODING AND DECODING .................................................................................................................................................................113

ANALOGIES.................................................................................................................................................................................................116

,NUMBER SERIES ....................................................................................................................................................................................121

DATA SUFFICIENCY................................................................................................................................................................................ 125

LOGICAL ORDER ..................................................................................................................................................................................... 135

DATA ARRANGEMENTS .....................................................................................................................................................................138

MATHEMATICAL OPERATIONS ..................................................................................................................................................... 138

INFERRED MEANING..........................................................................................................................................................................141

AMCAT VERBAL PART ........................................................................................................................................................................ 147

ODD WORDS .............................................................................................................................................................................................147

ANTONYMS .................................................................................................................................................................................................. 148

SYNONYMS..................................................................................................................................................................................................164

READING COMPREHENSIONS ......................................................................................................................................................180

JUMBLED SENTENCES ......................................................................................................................................................................245

SENTENCE CORRECTION .............................................................................................................................................................256

SENTENCE FORMATION ................................................................................................................................................................... 262

SPOTTING ERRORS................................................................................................................................................................................264

SELECTING WORDS.............................................................................................................................................................................273

SENTENCE COMPLETION ...............................................................................................................................................................288

SENTENCE IMPROVEMENT .........................................................................................................................................................307

SENTENCE SELECTION ...................................................................................................................................................................309

PARAGRAPH FORMATION ............................................................................................................................................................... 310

, QUANTITATIVE PART


PROFIT AND LOSS


1. Mathi purchased a walkman from her friend. She then sold it for Rs.90.Had it been sold
for Rs.105. The gain would have been 1/4 of the former loss. What is the cost price of
the walkman?


a. 82
b. 102
c. 114
d. 126


Correct Option is: b
2. A man sells 12 candies for Rs.12 & loses Rs.2.40. If he sells 12 candies for Rs.16,
how much does he gain or lose?


a. Gains Rs.4
b. Loses Rs.6
c. Gains Rs.6.40
d. Loses Rs.1.60
e. Gains Rs.1.60


Correct Option is: e
3. The book 40% is sold for Rs.480.What is the original price?


a. 1000
b. 1200
c. 1400
d. 1600


Correct Option is: b
4. Atul bought a machine for Rs.4,50,000 and sold it to Irfan at a profit. Irfan later sold the
machine to Danish at a loss of 10% for Rs.4,95,000. The profit % earned by Atul is?

, a. 23%
b. 21%
c. 25%
d. 22.22%


Correct Option is: d
5. If at 15% of profit, the selling price of dozen pencils is Rs.13.80, then what is the cost price
of a pencil?


a. Rs 1.15
b. Rs 1
c. Rs 0.85
d. Rs 1.10


Correct Option is: b
6. My friend collects antique stamps. She purchased two, but found that she needed to
raise money urgently. So she sold them for Rs. 8000 each. On one she made 20% and
on the other she lost 20%. How much did she gain or lose in the entire transaction?


a. She lost Rs 500.67
b. She lost Rs 666.67
c. She gain Rs 666.67
d. She gain Rs 500.67


Correct Option is: b
7. A women sold 15 bed sheets for Rs.15,000. Hence gaining 5 bedsheet‘s cost prices.
The cost per sheet is


a. rs.960
b. rs.775
c. rs.1000
d. rs.800
e. rs.750


Correct Option is: e
8. CP of 8 articles is equal to sp of 10 articles. Find profit or loss.
$25.49
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