2 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Table of Contents PREFACE............................................................................................................................................. 6 IMPORTANT CHAPTER GUIDELINES........................................................................................... 7 CHAPTER: SIMPLIFICATION & APPROXIMAITON ................................................................... 8 Solved Examples (Simplification & Approximation) .............................................................................................12 Practice Set-1 (Simplification & Approximation)..................................................................................................22 Practice Set-2 (Simplification & Approximaiton)..................................................................................................25 Simplification & Approximaiton Averages Practice Set-1 (Answers) ....................................................................27 Simplification & Approximaiton Averages Practice Set-2 (Answers) ....................................................................28 CHAPTER: NUMBER SERIES.........................................................................................................29 Solved Examples (Number Series)........................................................................................................................33 Practice Set (Number Series)................................................................................................................................38 Number Series Practice Set (Answers) .................................................................................................................41 CHAPTER: NUMBER SYSTEM.......................................................................................................42 Solved Examples (Number System)......................................................................................................................48 Practice Set-1 (Number System) ..........................................................................................................................53 Practice Set-2 (Number System) ..........................................................................................................................55 Number System Practice Set-1 (Answers)............................................................................................................58 Number System Practice Set-2 (Answers)............................................................................................................59 CHAPTER: RATIO, PROPORTION & ALLIGATION ..................................................................60 Solved Examples (Ratio, Proportion & Alligation)................................................................................................66 Practice Set-1 (Ratio, Proportion & Alligation).....................................................................................................70 Practice Set-2 (Ratio, Proportion & Alligation).....................................................................................................74 3 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Ratio, Proportion & Alligation Practice Set-1 (Answers).......................................................................................77 Ratio, Proportion & Alligation Practice Set-2 (Answers).......................................................................................78 CHAPTER: AVERAGES ...................................................................................................................79 Solved Examples (Averages) ................................................................................................................................80 Practice Set (Averages) ........................................................................................................................................86 Averages Practice Set (Answers)..........................................................................................................................90 CHAPTER: PERCENTAGES, PARTNERSHIP AND SHARE.......................................................91 Solved Examples (Percentages, Partnership and Share).......................................................................................95 Practice Set-1 (Percentages, Partnership and Share).......................................................................................... 101 Practice Set-2 (Percentages, Partnership and Share).......................................................................................... 104 Percentages, Partnership and Share Practice Set-1 (Answers) ........................................................................... 106 Percentages, Partnership and Share Practice Set-2 (Answers) ........................................................................... 107 CHAPTER: PROFIT & LOSS........................................................................................................ 108 Solved Examples (Profit & Loss)......................................................................................................................... 112 Practice Set (Profit & Loss)................................................................................................................................. 117 Profit & Loss Practice Set (Answers) .................................................................................................................. 121 CHAPTER: SIMPLE INTEREST & COMPOUND INTEREST .................................................. 122 Solved Examples (Simple Interest & Compound Interest).................................................................................. 126 Practice Set (Simple Interest & Compound Interest).......................................................................................... 132 Simple Interest & Compound Interest Practice Set (Answers)............................................................................ 136 CHAPTER: TIME AND WORK.................................................................................................... 137 Solved Examples (Time and Work)..................................................................................................................... 140 Practice Set (Time and Work)............................................................................................................................. 146 Averages Practice Set (Time and Work) ............................................................................................................. 151 4 IBPS BANK PO EXAM 2013 : Quantitative Aptitude CHAPTER: SPEED DISTANCE & TIME..................................................................................... 152 Solved Examples (Speed Distance & Time)......................................................................................................... 156 Practice Set (Speed Distance & Time) ................................................................................................................ 162 Speed Distance & Time Practice Set (Answers).................................................................................................. 166 CHAPTER: MENSURATION........................................................................................................ 167 Solved Examples (Mensuration) ........................................................................................................................ 174 Practice Set (Mensuration) ................................................................................................................................ 178 Mensuration Practice Set (Answers).................................................................................................................. 181 CHAPTER: PERMUTATIONS, COMBINATIONS & PROBABILITY ..................................... 182 Solved Examples (Permutations, Combinations & Probability) .......................................................................... 188 Practice Set-1 (Permutations, Combinations & Probability)............................................................................... 195 Practice Set-2 (Permutations, Combinations & Probability)............................................................................... 197 Permutations, Combinations & Probability Practice Set-1 (Answers)................................................................. 199 Permutations, Combinations & Probability Practice Set-2 (Answers)................................................................. 200 CHAPTER: DATA INTERPRETATION...................................................................................... 201 CHAPTER: DATA INTERPRETATION-TABLE CHART ......................................................... 204 Solved Examples (Data Interpretation-Table Chart)........................................................................................... 206 Practice Set (Data Interpretation-Table Chart)................................................................................................... 213 Data Interpretation-Table Chart Practice Set (Answers) .................................................................................... 221 CHAPTER: DATA INTERPRETATION-LINE GRAPHS........................................................... 222 Solved Examples (Data Interpretation-Line Graphs) .......................................................................................... 225 Practice Set (Data Interpretation-Line Graphs) .................................................................................................. 229 Data Interpretation-Line Graphs Practice Set (Answers).................................................................................... 233 CHAPTER: DATA INTERPRETATION-BAR GRAPHS............................................................ 234 5 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Solved Examples (Data Interpretation-Bar Graphs)............................................................................................ 237 Practice Set (Data Interpretation-Bar Graphs) ................................................................................................... 243 Data Interpretation-Bar Graphs Practice Set (Answers)..................................................................................... 247 CHAPTER: DATA INTERPRETATION-PIE DIAGRAM .......................................................... 248 Solved Examples (Data Interpretation-Pie Diagram).......................................................................................... 250 Practice Set (Data Interpretation-Pie Diagram).................................................................................................. 256 Data Interpretation- Pie Diagram Practice Set (Answers)................................................................................... 262 CHAPTER: DATA INTERPRETATION-CASE LETS ................................................................ 263 Solved Examples (Data Interpretation-Caselets)................................................................................................ 266 PracticeSet-(Data Interpretation- Caselets)........................................................................................................ 270 Data Interpretation-Caselets Practice Set (Answers).......................................................................................... 274 Solved Examples (Data Interpretation-Miscellaneous) ...................................................................................... 275 Practice Set (Data Interpretation-Miscellaneous) .............................................................................................. 285 Data Interpretation-Miscellaneous Practice Set (Answers)................................................................................ 291 FEEDBACK..................................................................................................................................... 292 6 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Preface Jagranjosh’s IBPS PO Exam 2013: Quantitative Aptitude e-Book is a one-stop solution for aspirants who endeavor to leave no stone unturned to score considerably in IBPS PO Written Examination 2013. The eBook is highly useful for all officers level Banking exams - IBPS Specialist officers Exam and SBI PO Exam. IBPS PO Exam 2013: Quantitative Aptitude e-Book is prepared by Jagranjosh’s team of subject matter experts who worked up the best to come up with this all-inclusive preparation package for Quantitative Aptitude section of Officers level Banking Exams. This eBook is a perfect blend of chapter-wise basic concepts and questions regarding all the units included in the syllabus for Quantitative Aptitude Section of Officers level Banking Exams. The chapter-wise compilation of this e-Book makes the concept of Quantitative aptitudes easy to understand for students. It further includes previous year questions and model practice sets along with the importance factor of each and every chapter included out here. Our IBPS PO Exam 2013: Quantitative Aptitude e-Book will let students to practice for the QA section within the standard time limit set by the IBPS examination board. This will help them hone ‘time management’ skills. The IBPS PO Exam 2013: Quantitative Aptitude e-Book includes: • Chapter wise Basic Concepts & Questions • IBPS PO Previous Year Questions • Chapter wise Model Practice Set • Important Chapter Guidelines Jagranjosh’s IBPS PO Exam 2013: Quantitative Aptitude e-Book is a one-stop solution edition to help preparing for the QA Section of Officers level Banking Exams. All the chapters of this e-book are reader- friendly and easy to understand. Just prepare with it to score more. Our team at Jagranjosh.com wishes all the very best to the aspirants of Banking Exams. All the Best! Copyright ©Jagranjosh.com All rights reserved. No part or the whole of this eBook may be copied, reproduced, stored in retrieval system or transmitted and/or cited anywhere in any form or by any means (electronic, mechanical, photocopying, recording or otherwise), without the written permission of the copyright owner. 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No responsibilities lie as well in case of the advertisements, advertorials, and external contents. 7 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Important Chapter Guidelines Important Chapter Guidelines for IBPS PO 2013 : Quantitative Aptitude Chapter Importance Number System Very Important Number Series Very Important Percentage Partnership and Share Very Important Simplification and Approximation Very Important Average Important Ratio ,Proportion & Alligation Important Time & Work Important Profit, Loss & Discount Very Important Simple Interest and Compound Interest Important Time, Distance and Speed Important Permutation and Combination & Probability Very Important Data Interpretation-Table Charts Very Important Data Interpretation-Bar Graph Very Important Data Interpretation-Line Graph Very Important Data Interpretation-Pie Charts Very Important Data Interpretation-Caselets Very Important Data Interpretation-Miscelleneous Graphs Very Important Mensuration Important Note : Prepared on the basis of questions asked in previous year papers 8 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Chapter: Simplification & Approximaiton Some Important Concepts ‘BODMAS’ Rule: This ‘BODMAS’ Rule shows the correct sequence of all the operations that are to be executed to find out the value of a given expression. In this rule ‘B’ Stands for ‘Bracket’, ‘O’ stands for ‘of’, ‘D’ for ‘Division’, ‘M’ for ‘Multiplication’, ‘A’ for ‘Addition’ and ‘S’ for ‘Subtraction’. Therefore, the correct order to simplify an expression is: (a) ( ) (b) {} (c) [] (d) of (e) Division (f) Multiplication (g) Addition (h) Subtraction Modulus of a Real Number: If the real number is ‘r’, then | r | = . Example: What will be the value of x in the following equation? 5 + + x +2 = 9 . Solution: Simplifying the above equation x = 9 - 5 - – 2  x = - - -  x =  x = = 1 . 9 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Example: If = , then find the value of . Solution: Given expression: =  ( x/y =3/2)    . Example: Arjun spends of his salary on house rent, of his salary on food and of his salary on conveyance. If he has Rs.2400 left with him, then find his expenditure on conveyance. Solution: Suppose Arjun’s monthly salary is Rs. x Then, remaining part of his salary = x- ( + + ) x = x – ( ) x = = . Now, = 2400  x =Rs. 4500. Expenditure on Conveyance = Rs.( 4500 ) = Rs.450. 10 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Approximation In these types of questions there is no need to find out the exact values. The candidate is required to calculate the approximate value in the following manner: Step I: Round off the numbers given in the question. Step II: Simplify the value Step III: Round off the final simplified value Rounding off numbers: Rounding off the numbers given in the question can be done in the following manner: (a) Rounding off to the nearest 10: Example: Rounded off value of 56 is 60, because the digit at unit place is greater than 5, therefore, we will add 1 to the digit at tens place and replace the unit’s digit by 0. Example: Rounded off value of 54 is 50, because the digit at unit place is less than 5, therefore, the value at tens place will remains the same and unit’s digit will be replaced by 0. Example: Rounded off value of 35 is 40, because the digit at unit place is equal to 5, therefore, we will add 1 to the digit at tens place and replace the unit’s digit by 0. (b) Rounding off to the nearest 100: Example: Rounded off value of 386 is 400, because the digit at tens place is greater than 5, therefore, we will add 1 to the digit at hundreds place and replace the digit at unit and tens places by 00. Example: Rounded off value of 741 is 700, because the digit at tens place is less than 5, therefore, the value at hundreds place will remains the same. Unit and tens digit will be replaced by 00. (c) Rounding off to the nearest 1000 Example: Rounded off value of 1963 is 2000, because the digit at hundreds place is greater than 5, therefore, we will add 1 to the digit at thousand place and replace the ones, tens and hundreds by 000. Although the numbers can be rounded off by the above procedures but it depends on the other numbers involved in the simplification. Rounding off a number to a decimal place: 11 IBPS BANK PO EXAM 2013 : Quantitative Aptitude The candidate is required to follow the following steps to round off a number to the nth decimal place: Step I: check the digit immediately, next right to the nth place. Step II: Add 1 to the digit in the nth place, if the next right digit is 5 or more, otherwise the digit will remains the same. Step III: Remove all the digits in places to the right of the nth place. Example: Rounded off value of 4.693 to the second place is 4.69, because next right digit to the second place is 3, therefore, the value will remain the same and the digit in place to the right of the second place will be removed. 12 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Solved Examples (Simplification & Approximation) Directions (1-5) What will come in place of the question mark (?) in the following question? (IBPS PO/MT Exam 2012) 1. 4003 × 77 - 21015=? × 116 (1) 2477 (2) 2478 (3) 2467 (4) 2476 (5) None of these Solution: ? × 116 = 4003 × 77 – 21015 or, ? × 116 = 308231 – 21015 = 287216 or, ? × 116 = 287216 ? = = 2476 Ans: (4) 2. (1) 143 (2) (3) 134 (4) (5) None of these Solution: = - 361 = - 361 = 504 -361 = 143 Ans: (1) 13 IBPS BANK PO EXAM 2013 : Quantitative Aptitude 3. (4444÷40) + (645÷25) + (3991÷26) =? (1) 280.4 (2) 290.4 (3) 295.4 (4) 285.4 (5) None of these Solution: (4444÷40) + (645÷25) + (3991÷26) = + + = 111.1 + 25.8 + 153.5 = 290.4 Ans: (2) 4. × - (83)2 = (?)2 + (37)2 (1) 37 (2) 33 (3) 34 (4) 38 (5) None of these Solution: (?)2 + (37)2 = × - (83)2 or, (?)2 + (37) 2 = 182×51 - (83) 2 or, (?)2 + 1369 = 9282-6889 =2393 or, (?)2 = 2393 - 1369 = 1024 ?= = 32 Ans: (5) 5. 5 × 4 × 11 + 2 =? (1) 303.75 (2) 305.75 (3) (4) (5) None of these 14 IBPS BANK PO EXAM 2013 : Quantitative Aptitude Solution: ? = 5 × 4 × 11 + 2 = × × + = × × + = 101× 3 + = 303 + = = = 305.75 Ans: (2) Direction (6-10): What approximate value should come in place of the question mark (?) in the following question? (Note: You are not excepted to calculate the exact value.) (IBPS PO/MT Exam 2012) 6. 8787 ÷ 343 × =? (1) 250 (2) 140 (3) 180 (4) 100 (5) 280 Solution: ? = 8787 ÷ 343 × = 25.61 × 7.07 = 181.09 Ans: (3) 7. × (303÷8) = (?)2 (1) 48 (2) 38 (3) 28 (4) 18 (5) 58 Solution: × (303÷8) = (?)2 15 IBPS BANK PO EXAM 2013 : Quantitative Aptitude or, 38 × 37.8 = (?)2 (37.8 ~ 38) or, 38 × 38 = (?)2 Ans: (2) 8. of 4011.33 + of 3411.22 =? (1) 4810 (2) 4980 (3) 4890 (4) 4930 (5) 4850 Solution: ? = 4011.33 + 3411.22 = + = 2507.08 + 2387.854 = 2507 + 2387 = 4894 Ans: (3) 9. 23% of 6783 + 57% of 8431=? (1) 6460 (2) 6420 (3) 6320 (4) 6630 (5) 6360 Solution: ?= 23% of 6783 + 57% of 8431 6783 + 8431 = 23 = 1560.09 + 4805.67 = 6365.76 Ans: (5)