administrative and production offices - gk publication€¦ · administrative and production...

Administrative and Production Offices

Published by : CL Media (P) Ltd.

A-45, Mohan Cooperative Industrial Area,Near Mohan Estate Metro Station,New Delhi - 110044

M arketed by : G.K. Publications (P) Ltd.

For product information :

Visit www.gkpublications.com or email to [email protected]

© PUBLI SHER

No part of this book may be reproduced in a retr ieval systemor transmit ted, in any form or by any means, electronics,mechanical , photocopying, recording, scanning and orwithout the wr it ten permission of the publ isher.

I SBN-93-87444-84-3

CL MEDIA (P) LTD.

Edition : 2019

A-45, Mohan Cooperative Industrial Area,Near Mohan Estate Metro Station,New Delhi - 110044

I SBN : 978-93-89573-13-8

Typeset by : CL Media DTP Unit

Contents ABOUT THE EXAMINATION

QUANTITATIVE APTITUDE1. Speed Maths 1.1 – 1.162. Number System 2.1 – 2.103. Arithmetic 3.1 – 3.37

• Percentage• Profit and Loss• Average• Simple Interest and Compound Interest• Ratio and Proportion• Problems on Age• Alligation

4. Speed, Time & Distance and Time & Work 4.1 – 4.25• Relative Speed• Boats and Stream• Trains• Time and Work• Pipes and Cistern

5. Permutation and Combination 5.1 – 5.126. Probability 6.1 – 6.117. Set Theory 7.1-7.118. Algebra 8.1 – 8.20

• Basic Algebra and Expression• Linear Equations• Quadratic Equations• A.P., G.P. & H.P.

9. Geometry 9.1 – 9.1710. Mensuration 10.1 – 10.1411. Data Interpretation 11.1 – 11.30

• Tables & Graphs• Caselets

12. Data Sufficiency 12.1 – 12.1613. Comparison of Variables 13.1 – 13.414. Comparison of Two Quantities 14.1 – 14.12

GENERAL INTELLIGENCE & REASONING1. Number Series 1.1 – 1.142. Mathematical Inequalities 2.1 – 2.203. Coding Decoding 3.1 – 3.64. Input - Output 4.1 – 4.175. Blood Relation 5.1 – 5.136. Directions 6.1 – 6.197. Clock and Calendars 7.1 – 7.138. Data Sufficiency - Reasoning Based 8.1 – 8.189. Data Arrangement 9.1 – 9.16

10. Syllogism 10.1 – 10.1911. Statement Conclusion 11.1 – 11.1412. Statement Assumption 12.1 – 12.15

13. Strong and Weak Arguments 13.1 – 13.714. Course of Action 14.1 – 14.1415. Cause and Effect 15.1 – 15.1116. Basics of Critical Reasoning 16.1 – 16.5

ENGLISH LANGUAGE & COMPREHENSION1. Subject Verb Agreement 1.1 – 1.42. Spotting Errors 2.1 – 2.103. Sentence Improvement 3.1 – 3.94. Sentence Completion 4.1 – 4.185. Statement Connection 5.1 – 5.86. Synonyms 6.1 – 6.57. Antonyms 7.1 – 7.58. Idioms 8.1 – 8.99. Phrasal Verbs 9.1 – 9.8

10. Parajumbles 10.1 – 10.1611. Fill in the Blanks 11.1 – 11.1212. Reading Comprehension 12.1 – 12.27

BANKING AWARENESS1. Indian Financial System 1.1 – 1.122. Reserve Bank of India 2.1 – 2.43. Financial Institutions 3.1 – 3.104. Financial Terms 4.1 – 4.125. Indian Economic Development 5.1 – 5.106. General Awareness & Current Affairs 6.1 – 6.72

PRACTICE PAPER – 1 1-30 PRACTICE PAPER – 2 1-29 PAPER 2017 (MEMORY BASED) 1-28 SOLVED PAPER 2018 (MEMORY BASED) 1-27

About the ExaminationExaminat ions wil l be held in two phases, Phase-I is ONLINE Examinat ion (Object ive Type) and Phase-I I isWr it ten Examinat ion (Descr ipt ive type).

Phase-I Examination (Objective Type):

* Separate time will be allotted for each sectionCandidates have to secure minimum marks separately for each test as well as aggregate, as prescr ibed by theBoard. Candidates, who secure minimum marks separately for each Test , as prescr ibed, wi l l be shor t l isted forPhase-I I of the Examinat ion based on the aggregate marks obtained in the Object ive Test .

Part Subject No. of Questions Total Marks Duration

I General Awareness 80

II English Language 30200

I I I Quant i tat ive Apt itude 30

IV Reasoning 60

Total 200

120 M inutes

QUANTITATIVE APTITUDE

Addi t ionAddit ion is the mother of al l calculat ions and the mostbasic step which is involved in any calucations. One hasto be very much efficient in doing 'ADDITION' as far asbanking exams numerical ability questions are concerned.I t has i ts relevance in most of the Data Interpretat ionquest ions which are asked in Bank PO and other Govt.Entrance Exams.In order to add mult iple two digit numbers one canmove in fol lowing way explained below.

In this method we change the numbers so that i t endsin zero.56 + 75 + 84 + 93 + 21 + 32 + 69Step 1 : 56 + 75 = 56 + 5 + 70 = 61 +70 = 131Step 2 : 131 + 84 = 131 + 4 + 80 = 135 + 80 = 215Step 3 : 215 + 93 = 215 + 3 + 90 = 218 + 90 = 308Step 4 : 308 + 21 = 308 + 1 + 20 = 329

Step 5 : 329 + 32 = 329 + 2 + 30 = 361Step 6 : 361 + 69 = 361 + 9 + 60 = 430.The above concept can be used to do large calculat ionsalso.Subtract ionWe change the numbers while subtract ion such that i tends in zero.

E.g. 1:67 – 34 = (60 + 7) – (30 + 4)

= 60 – 30 + 7 – 4 = 30 + 3 = 33.E.g. 2:367 – 231 = (300 + 60 + 7) – (200 + 30 + 1)

= (300 – 200) + (60 – 30) + (7 – 1)

= 100 + 30 + 6 = 136.M ult iplicat ionBase methodBase = 100105 107Base = 100, Surplus = 5 and 7

105 | 5

107 | 7

(105 7) | 35 112| 35 11235(107 5)

or

The result of the above problem wil l be found in twoparts.

(i) Right par t (after slash) is the product of thesurplus.

Since base = 100 and surplus are 5 and 7, so productwould be 5 7 i .e. 35.

(ii) Left par t (before slash) I t can be either numberplus surplus of the other mult ipl icand. Hence leftpar t would be either (105 + 7) or (107 + 5) = 112(both wil l always be the same) i .e. 112.

92 97

Base = 100, Defici t = 92 – 100 = – 8 and 97 – 100 = – 3

92 | 897 | 3

(92 3) | 24 89| 24 8924(97 8)

or

96 108

Base = 100, Defici t = 96 – 100 = – 4,

Surplus = 108 – 100 = 8

96 | 4

108 | 8

(108 4) | 32or

(96 + 8)

104| 32 103| 100 32 103| 68 = 10368

Right par t wi l l now be (– 4) 8 i .e. – 32. To take care ofthe negat ive we will bor row 1 from the left par t , whichis equivalent t o bor r owing 100 (because we ar eborrowing from the hundred digits of the answer). Thusthis par t wi l l be 100 – 32 = 68.

Base Not equal to hundred

209 211

Base = 200

209 | 9

211 | 11

(209 11) | 9 11Base or

2 (220)| 99 440| 99 44099

1SPEED MATHS

1.2 SPEED MATHS

General method

(i) For two numbers ab and cd:

a bc d

ad+bcac bd

+ carry+ carryE.g. 2 3

4 72 × 7 + 3 × 4 8 3 × 7

82

2 6+2

1

10 82

2+

= 1081.

(ii) For two numbers abc and def

a b cd e f

af + cd + be bf + ce fcae + bdad

carry+ carry+ carry+ carry+E.g.

2 3 44 8 3

2 × 3 + 4 × 4 + 3 × 8 3 × 3 + 4 × 8 4 × 32 × 8 + 3 × 42 × 48

+ 311

28+ 53 3

46+ 45 0

1 241+ 14 2

= 113022.

Division

(i) Division by par ts Imagine 497 which has to bedivided into two par ts.

4972

We can wir te this as 400 + 97

= 400

2 +

972

= 200 + 48.5

= 248.5.

(ii) Division using the factors of the divisor “ this isalso cal led as Double Division”

7014

=

7072

(Because 7 and 2 are the factors of 14)

= 102

= 5.

(iii) Division by 5

Note : i f you have to divide by number 5, thendivide i t by 100 and then just mult iply by 20

26005

= 2600

20100

20 1

100 5

= 26 20 = 520.

(iv) Division by 10 0.710

= 0.07.

(v) Division by 50

Just divide with 100, then mult iply by 2

720050

= 7200

2100

= 72 2 = 144.

(vi) Division by 100

just move the decimal point two places to the left

45100

= 0.45.

(vii) Division by 500

just divide with 100 and then mult iply with 0.2

19500

= 19

0.2100

= 0.19 0.2 = 0.038.

(vi i i )Division by 25

just divide by 100 and then mult iply by 4

80025

= 800

4100

= 8 4 = 32.

Approximat ion in Divisions:

E.g. 338473

Step 1 : Change the denominator such that i t endswith zeros.

338 338473 27 500

Step 2 : I ncrease the numerator also in the samepropor t ion

338 2473 3

2338 27338 3

473 473 27

356 356 2 7120.712.

500 500 2 1000

The same process has to be repeated if the denominatorhas to be decreased to br ing i t to round figure.

SPEED MATHS 1.3

Squar ingWhen number i s close t o 10n f i nd t he sur plus ordefici t (x)Answer is again in two par ts (B + 2x) | x2

Right hand par t wi l l consist of n digits. Add leadingzeros or carry forward the ext ra to sat isfy the condit ion

1082 = (100 + 2 8) | 8² = 116 | 64 = 116641122 = (100 + 2 12) | 12² = 124 | 144 = 12544932 = (100 – 2 7) | (– 7)² = 86 | 49 = 864910062 = (1000 + 2 6) | 6² = 1012 | 036 = 1012036Numbers ending with 5I f a number is in the form of n5,

The square of i t is in n(n + 1) | 25E.g. 452 = 4 5 | 25 = 20251352 = 13 14 | 25 = 18225

Number Square Number Squar e 1 1 16 256

2 4 17 289

3 9 18 324

4 16 19 361

5 25 20 400

6 36 21 441

7 49 22 484

8 64 23 529 9 81 24 576

10 100 25 625

11 121 26 676

12 144 27 729 13 169 28 784

14 196 29 841

15 225 30 900

Calculating squares of numbers (51 – 80):With base 50 find the surplus or defici t (x)Answer is again in two par ts (25 + x) | x2

1. Calculate the square of 57.Here, 57 = 50 + 7Therefore, (50)2 = (25 + 7)| (7)2 = 3249

2. Calculate the square of 76Here, 76 = 50 + 26Therefore, (76)2 = (25 + 26)| (26)2 = 51 | (6)76 = 51+ 6 | 76 = 5776In the above examples the square of the defici tprovides the last two digits of the number while 25+ carry provides the first two digits of the square.

Calculating squares of numbers (31 – 50):

1. Calculate the square of 43.

Here, 43 = 50 – 7Therefore, (50)2 = (25 – 7)| (7)2 = 1849

2. Calculate the square of 37Here, 37 = 50 – 13

Therefore, (37)2 = (25 – 13)| (13)2 = 12 | (1)69 = 12+ 1 | 69 = 1369In the above examples the square of the defici tprovides the last two digits of the number while 25+ carry provides the first two digits of the square.

Calculating squares of numbers (81 – 100):1. Calculate the square of 86.

Here, 86 = 100 – 14Therefore, (86)2 = (86 – 14)| (14)2 = 72 | (1)96 = 72+ 1 | 96 = 7396

2. Calculate the square of 93Here, 93 = 100 – 7Therefore, (93)2 = (93 – 7) | (7)2 = 86 | 49 = 86 | 76= 8649In the above examples the square of the defici tprovides the last two digits of the number while(number + carry) provides the first two digits ofthe square.

Finding square root of a numberE.g.

Find the square root of 1296Step 1 : Wr ite the number as a product of i ts pr ime

factors1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 = 24 × 34

Step 2 : Half the values of the powers to get the square root .

2 21296 2 3 36

Number Square Root

1 1

2 1.414

3 1.732

4 2

5 2.236

6 2.449

7 2.646

8 2.828

9 3

10 3.162

11 3.317

12 3.464

13 3.606

14 3.742

15 3.873

1.4 SPEED MATHS

Cubing

When a number is mult ipl ied two t imes with i tself, thenumber obtained is cal led the cube of the number.

Therefore, a a a = a3

E.g. Find the cube of 12.

Cube of 12 = 12 12 12 = 1728

We can find the cube of any number close to a power of10 say 10n

With base = 10n find the surplus or the defici t (x)The answer wi l l be obtained in three par ts :

B +3x | 3 x2 | x3

The r ight two par ts wi l l have n digits.

So either put in leading zeroes or car ry forward theextra digits.

1043

Base B = 100 and surplus x = 4

(100 + 3 4) | 3 42 | 43 112 | 48 | 64 1124864

1093

Base B = 100 and x = 9

(100+ 3 9) | 3 92 | 93

127 | 243 | 729 1295029

983

Base B = 100 and defici t x = – 2

(100 – 3 2) | 3 (– 2)2 | (– 2)3 = 94 | 12 | – 8

= 94 | 11 | 100 – 8 = 941192

Number Cube 1 1 2 8 3 27 4 64 5 125 6 216 7 343 8 512 9 729

10 1000 11 1331 12 1728 13 2197 14 2744 15 3375

Finding cube root of a number

E.g. Find the cube root of 5832.

Step 1 : Wr ite the number as a product of i ts pr imefactors

5832 = 2 2 2 3 3 3 3 3 3

= 23 36

Step 2 : Divide the values of the powers by 3 to getthe square root .

23 5832 2 3 18

Number Cube Root

1 1

2 1.26

3 1.442

4 1.587

5 1.71

6 1.817

7 1.913

8 2

9 2.08

10 2.154

Percentage Calculat ion

Tables can take care of mult ipl icat ions encountered.But , i f one has to develop speed in division, where thereal tediousness l ies, reciprocal percentage equivalentare an absolute must .

The fol l owi ng may hel p you i n memor i zi ng t hereciprocal equivalents.

I f reciprocal of 2 is 50%, that of 4 wi l l be half of 50% i.e.25%. Similar ly, reciprocal of 8 wi l l be half of 25% i.e.12.5% and that of 16 wil l be 6.25%.

Reciprocal of 3 is 33.33%. Thus reciprocal of 6 and 9wil l be 16.66% and 11.11% respect ively.

Recipr ocal of 9 i s 11.11% and r ecipr ocal of 11 i s09.090909%. Reciprocal of 9 is composed of 11’s andreciprocal of 11 is composed of 09’s.

Reciprocal of 20 is 5%. Reciprocal of 21 is 4.76% and of19 is 5.26%. Thus, we can easi ly remember reciprocalsof 19, 20, 21 as 5.26%, 5, 4.76% i.e. 0.26% more andless than 5%.

SPEED MATHS 1.5

Similar ly, reciprocal of 25 is 4%. Reciprocal of 24 is4.16% and of 26 is 3.84%. Thus, we can easily rememberreciprocals of 24, 25, 26 as 4.15%, 4, 3.85% i.e. 0.15%more and less than 4%.

Reciprocal of 29 is 3.45% (i.e. 345 in order) and reciprocalof 23 is 4.35% (same digits but order is different).

Reciprocal of 22 is half of 09.0909% i.e. 4.545454% i.e.consists of 45’s.

Reciprocal of 18 is half of 11.1111% i.e. 5.55555% i.e.consists of only 5s.

Thus, the work may seem to be a huge task, but i f oneuses a smar t approach, i t is hardly anything.

I f any calculat ion has 9 in the denominator, the decimalpar t wi l l be only 1111… or 2222… or … 3333… or 4444…

or 3636…E.g. 849

wi l l be 9.3333 can be found out in a

ji ffy.

One can also calculate any fract ion of the type ( 1)n

n

(n 30) within a second i f one knows the reciprocal

percentage equivalent . E.g. : 1112

wi l l be nothing but

11

12 i .e. the complement of 0.08333 which is 0.91666.

Similar ly, i f one knows 123

= 0.0435, then 2223

wi l l be

0.9565.

Other Fraction Percentage Equivalents:

Knowing the reciprocal percentage equivalents is justa qual i fying cr i ter ia, to gain a compet i t ive advantageone needs to go beyond. One also needs to remember

tables of 18

(or of 12.5) and 1

12 (or of 8.33).

18

i s 12.5%, 28

i s 25%, 38

i s 37.5%, … 58

is 62.5% … 78

is 87.5%.

Lets say one has to find 37.5% of 128. This will be nothing

but 38

of 128 which is 48. And percentages l ike 37.5%

and 62.5% are used very regular ly.

Also, tables of 1

12 wi l l help one find percentages l ike

83.33%, which is nothing but 56

th.

Percentage Equivalent:

11

100% 1

16 6.25%

12

50% 1

17 5.88%

13

33.33% 1

18 5.56%

14

25% 1

19 5.26%

15

20% 1

20 5%

16

16.67% 121

4.76%

17

14.28% 1

22 4.55%

18

12.50% 1

23 4.35%

19

11.11% 1

24 4.17%

110

10% 1

25 4%

111

9.09% 1

26 3.85%

112

8.33% 1

27 3.70%

113

7.69% 1

28 3.57%

114

7.14% 1

29 3.45%

115

6.67% 1

30 3.33%

1.6 SPEED MATHS

Comparing rat ios:

Approach 1 : I n a proper fract ion a a xb b x

where x

is posit ive. For an improper fract ion, the inequali tysign changes.

Which is greater 456 508

,788 835

Using thi s just f ind by what magni t ude does t henumerator increase and then proceed as fol lows …

Consider ing 456 508

,788 835

, the numerator increase by 52.

Thus 456 456 52 508

. .788 788 52 840

i e

and thus first fraction will

be lower than second fract ion since in the secondfract ion, the denominator i s even lower t han 840,making i t even higher. This approach does not workalways (what i f t he denominator would have beengreater than 840?)

Approach 2: Find by what per cent age does t henumerator increase and check if denominator increasesby higher or lower percentage.


,788 390

?

Consider, 456 235

,788 390

. I n second r at i o we see t he

numerator is just marginal ly higher than hal f thenumerator of fi rst rat io. Half of the denominator is394.

Thus, denominator of second fract ion is lower than halfthe denominator of fi r st rat io. Thus, obviously thesecond rat io has to be higher as the numerator is morethan half and at same t ime denominator is less thanhalf.

Approach 3: I n this we knowingly add an er ror andthen compare.


,390 2089

?

I f we consider t he denominator s as 400 and 2000respect ively, we have increased the denominator of thefirst and decreased the denominator of second. Withthese changes, the rat ios come down to 0.5875 and 0.556.The first rat io wi l l be higher than 0.5875 and secondrat io wi l l be lower than 0.556.

Thus, 235 1112390 2089

. Using this approach you can always

compare two rat ios provided the approximat ion ofdenominators or for that mat ter of numerators is inopposite direct ions.

We have used different approaches to elucidate thedifferent methods. You can use any method.

Don’t t ry to waste t ime deciding which approach is mostsuitable. Use whichever approach st r ikes first . Mostimportant ly, whi le comparing rat ios, don’t immediatelystar t calculat ing. First get an approximate idea (event o t he t une of 5%) and you wi l l see t hat t h i sapproximat ion i tself can give you the answer !

SOLVED EXAM PLESExample 1:

Find the value of quest ion mark.

4368 + 2158 – 596 – ? = 3421 +1262

Solut ion:

? = 4368 + 2158 – 596 – 3421 – 1262

= 4368 + 2158 – (596 + 3421 + 1262)

= 6526 – 5279 = 1247.

Example 2:

Find the value of quest ion mark.

(9795 + 7621 + 938) ÷ (541 + 831 + 496) = ?

Solut ion:

? 9795 7621 938 18354

10.541 831 496 1868

Example 3:

Find the value of

75436 + 57826 + 33453 + 87435 +47839

Solut ion:

Step 1: We wil l Add the two digit numbers atthousands place:

75 + 57(= 132) + 33 (= 165) + 87(= 252) +47(= 299) thousands

Step 2: Add the numbers at hundreds:

4 + 8 + 4 + 4 + 8 = 28 hundereds

Step 3: Add the last two digits of the numbers

36 + 26(= 62) + 53(= 115) + 35(= 150) + 39(=189)

Thus, the cor rect answer would be 299000+ 2800 + 189 =301989.

Example 4:

What is the product of 354 and 497?

Solut ion:

3 5 4

4 9 73 4| 3 9 5 4| 21 16 45| 35 36| 28

12| 47| 82| 71| 28 = 175938.

Example 5:

Calculate the square of 61.

SPEED MATHS 1.7

Solut ion:

61 = 50 + 11

Therefore, 2 261 25 11| (11) = 36 | 121

= 36 + 1 | 21 = 3721.

Example 6:

Calculate the square root of 4356.

Solut ion:

We have,

4356 2 2 3 3 11 11

= 2 2 22 3 11 2 3 11 66.

Example 7:

Calculate the cube root of 157464.

Solut ion:

We have,

3 3 9 33 157464 2 3 2 3 54. Example 8:

What is the value of 14.28% of 1722?

Solut ion:

Since, 14.28% is equivalent to 17

Therefore, 14.28% of 1722 = 1

17227 = 246.

Example 9:

What is the percentage equivalent of 3

19?

Solut ion:

Since 1

19 = 0.0526

Therefore, percentage equivalent of 3

19= 3 0.0526 100 = 15.78%.

Example 10:

What is approximate value of 448

?879

Solut ion:

1448 121448 508.52

879 879 121 1000

0.5085 0.5.

1.8 SPEED MATHS

Directions for questions 1 to 10: Fil l in the blanks.

1. 86 98 = _____________

2. 107 102 = _____________

3. 93 98 = _____________

4. 204 101 = _____________

5. 79 703 = _____________

6. 801 621 = _____________

7. 69 521 = _____________

8. 74 198 = _____________

9. 57 54 = _____________

10. 212 211 = _____________

Directions for questions 11 to 15: Approximate thefol lowing quest ions upto two decimal places.

11.17335125

=

(a) 0.25 (b) 0.65

(c) 0.45 (d) 0.35

12.218289

=

(a) 0.80 (b) 0.75

(c) 0.45 (d) 0.35

13.377789

=

(a) 0.48 (b) 0.75

(c) 0.80 (d) 0.65

14.175499

=

(a) 0.40 (b) 0.45

(c) 0.30 (d) 0.35

15.129175

=

(a) 0.65 (b) 0.80

(c) 0.75 (d) 0.90

Direct ions for questions 16 to 20: I n each of thefol lowing quest ions express the fract ions in terms ofpercentage equivalents (up to two decimal places).

16.523

17.1127

18.4

17

19.8

13

20.711

Directions for questions 21 to 30: Find the value ofquest ion mark.

21. 15625 ?

22. 3 250047 ?

23. 3 0.000216 ?

24. 1.2544 ?

25. 0.000144 ? 1.2

26. (77)2 = ?

27. (89)2 = ?

28. (36)2 = ?

29. (43)2 = ?

30. (73)2 = ?

31. What wi l l come in place of quest ion mark (?) inthe fol lowing equat ion?

38

of 168 15 5 + ? = 549 9 + 235

(a) 189 (b) 107

(c) 174 (d) 296

(e) None of these

32. What approximate value should come in place ofthe quest ion mark (?) in the fol lowing equat ion?

158.25 4.6 + 21% of 847 + ? = 950.93

(a) 35 (b) 40

(c) 25 (d) 50

(e) 45

33. What approximate value should come in place ofthe quest ion mark (?) in the fol lowing equat ion?

85.147 + 34.912 6.2 + ? = 802.293

(a) 400 (b) 450

(c) 550 (d) 600

(e) 500

34. What should come in place of the quest ion mark(?) in the fol lowing equat ion?

9548 + 7314 = 8362 + ?

(a) 8230

(b) 8500

(c) 8410

(d) 8600

(e) None of these

PRACTI CE EXERCI SE

SPEED MATHS 1.9

35. What should come in place of the quest ion mark(?) in the fol lowing equat ion?

2 117 of 180

3 4 of 480 = ?

(a) 3180 (b) 3420

(c) 3200 (d) 3300

(e) None of these

36. What approximate values should come in placeof the quest ion mark (?) in the fol lowing equat ion?

248.251 12.62 20.52 = ?

(a) 400 (b) 450

(c) 600 (d) 350

(e) 375

37. Which of the fol lowing wil l come in place of boththe quest ion marks (?) in the fol lowing equat ion?

2 2

128 16 ? 7 21

7 8 6 ?

(a) 17 (b) 16

(c) 18 (d) 14

(e) 3

38. What approximate value should come in place ofquest ion mark (?) in the fol lowing equat ion?

9876 24.96 + 215.005 – ? = 309.99

(a) 395 (b) 295

(c) 300 (d) 315

(e) 310

Directions for questions 39 to 41: What wi l l comein place of t he quest ion mark (?) in t he fol lowingquest ions?

39. 40.83 1.02 1.2 = ?

(a) 49.97592 (b) 41.64660

(c) 58.7952 (d) 42.479532

(e) None of these

40.1 3 1 22

3 6 1 ?3 7 2 7

(a) 4.4 (b)229

(c)522

(d) 40.5

(e) None of these

41. 3978 + 112 2 = ? 2

(a) 8180 (b) 2101

(c) 4090 (d) 8404

(e) None of these

Directions for questions 42 to 44: What approximatevalue wil l come in place of the quest ion mark (?) in thefol lowing quest ions?42. 125% of 4875 + 88.005 14.995 = ?

(a) 7395 (b) 7485(c) 7514 (d) 7375

(e) 741543. 1010 36 + 187 20.05 = ?

(a) 3650 (b) 3770(c) 3825 (d) 3800(e) 3700

44. 127.001 7.998 + 6.05 4.004 = ?

(a) 1440 (b) 1400(c) 1000 (d) 1040(e) 1140

45. What approximate value wil l come in place of thequest ion mark (?) in the fol lowing equat ion?

133 %

3of 768.9 + 25% of 161.2 – 58.12 = ?

(a) 230 (b) 225

(c) 235 (d) 220

(e) 240

Directions for questions 46 to 55: What should comein place of the question mark (?) in the following equation?

46. ( 251 21 12) ? = 158.13

(a) 250 (b) 400

(c) 300 (d) 150

(e) None of these

47. 25.6% of 250 + ? 119(a) 4225 (b) 3025

(c) 4025 (d) 5625

(e) None of these

48. 36865 + 12473 + 21045 – 44102 = ?

(a) 114485 (b) 28081

(c) 26281 (d) 114845

(e) None of these

49. (15.20)2 – 103.04 ? = 8

(a) 12 (b) 6.5

(c) 8.2 (d) 16

(e) None of these

50.3 2

7428 ? 6194 9

(a) 0.5 (b) 1.5

(c) 0.2 (d) 2.4

(e) None of these

1.10 SPEED MATHS

51. (560 32) (720 48) = ?

(a) 262.5 (b) 255

(c) 263.5 (d) 271.25

(e) None of these

52. 3.2% of 500 2.4% of ? = 288

(a) 650 (b) 700

(c) 600 (d) 750

(e) None of these

53. 14785 – 358 – 4158 – 9514 = ?

(a) 755 (b) 825

(c) 721 (d) 785

(e) None of these

54. 1425 + 8560 + 1680 200 = ?

(a) 58.325 (b) 9973.4

(c) 56.425 (d) 9939.4

(e) None of these

55. [(12)2 (14)2] (16)2 = ?

(a) 282.24 (b) 1764

(c) 126 (d) 104.25

(e) None of these

Addit ion and Subtract ion56. 11 + 25 + 35 + 14 =

57. 18 + 13 + 7 + 3 + 1 =

58. 50 – 10 + 2 + 8 + 3 =

59. – 99 + 12 + 8 + 17 + 10 =

60. – 44 – 17 – 13 – 2 – 8 =

61. – 86 + 27 + 7 – 43 – 2 =

62. 8888 + 888 + 88 + 8 =

63. – 2398 + 1500 + 444 + 18 =

64. – 5555 – 4444 – 3333 – 2222 – 1111 =

65. 11111 + 1111 + 111 + 11 + 1 =

66. 99999 – 33333 + 1111 + 22 + 3 =

67. – 97879 + 79235 + 12486 + 4728 =

68. – 22222 – 33333 – 44444 =

69. – 14444 – 2432 – 480 – 1 =

70. – 77777 + 6666 – 555 + 44 – 3 =

71. 100000 + 10000 + 1000 + 100 =

72. 555555 + 333333 + 111111 =

73. 444444 – 88888 + 12345 + 12 =

74. – 888888 + 44444 + 2222 + 666 =

75. – 689000 + 18900 + 238000 + 15000 =

76. – 987654 – 54 – 654 – 7654 =

77. – 888888 + 88888 – 8888 + 888 – 88 =

M ult iplicat ion and Division78. (– 11) (– 8) (– 2) (– 1) =

79. 111 111 2 =

80. (– 222) 3 2 =

81. – 888 – 20 – 3 – 5 =

82. – 12345 3 =

83. (– 5555) (– 5) =

84. 181818 9 =

85. 242424 (– 24) =

86. 1000 10 (– 10) =

87. 6012 6 2 =

88. – 111111 55 11 =

89. 18018 18 9 3 =

90. 1000 100 (– 10) =

91. 27 (– 27) (27) (– 27) =

92. 1001 273 3 =

93. 8888 (4444) 3 6 =

Squar esFind squares of fol lowing numbers -

94. (37)2 =

95. (42)2 =

96. (98)2 =

97. (56)2 =

98. (73)2 =

99. (111)2 =

100. (126)2 =

101. (84)2 =

102. (69)2 =

103. (108)2 =

Square RootsFind square roots of fol lowing numbers -

104. 1936

105. 8464

106. 1521

107. 2209

108. 27225

109. 5041

110. 17161

111. 18496

112. 24649

113. 12544

SPEED MATHS 1.11

114. 26569

115. 21025

CubesFind cubes of fol lowing numbers -

116. (109)3 =

117. (52)3 =

118. (24)3 =

119. (65)3 =

120. (72)3 =

121. (83)3 =

122. (36)3 =

123. (27)3 =

124. (111)3 =

125. (49)3 =

Cube RootsFind cube roots of fol lowing numbers -

126. 3 157464

127. 3 216000

128. 3 778688

129. 3 110592

130. 3 357911

131. 3 1860867

132. 3 2048383

133. 3 3442951

134. 3 912673

135. 3 1560896

Decimal Addit ion and Subtract ion136. 7 + 4.30 + 8.08 + 0.9 =

137. – 0.77 + 0.55 + 0.44 + 3 =

138. – 2.08 + 1.19 + 7.05 – 1.50 =

139. 90.9 + 80.8 + 70.7 + 60.6 =

140. – 12.12 – 22.22 – 32.32 – 42.42 =

141. 900.00 – 90.09 + 9.90 + 0.99 =

142. – 112.12 – 12.12 – 212.12 – 21.12 =

143. – 111.111 – 222.22 – 333.333 – 444.44 =

144. 3333.333 + 33.33 + 444.44 + 5.5 =

145. 1234.1234 + 123.123 + 12.12 + 1.10 =

146. – 1001.1001 – 101.101 – 110.110 =

147. – 7777.7777 – 666.666 – 55.55 – 4.4 – 0.33=

148. 0.7777 – 0.0777 + 0.707 + 0.700 =

149. – 0.2121 + 0.3131 + 0.4141 + 0.5151 =

Decimal M ult iplicat ion and Division150. – (0.6) 20 6 =

151. 300 0.05 9 =

152. 4444 0.0001 2 =

153. 1111 0.05 100 =

154. (– 3000) (– 0.0002) =

155. 0.10 (– 0.01) – (0.0010) =

156. – (10000) 0.0001 321 =

157. 121.121 (– 11) =

158. 18.1818 – (0.9) =

159.0.02 0.0030.006 0.01

160.(0.75) 500.25 0.5

161.49 0.00490.49 0.49

162.84

(0.2) (0.3)

163.0.004 5000

0.04 100

164.555.5 22

5.5

=

165.111.1 (111.1)

1.21

=

166.0.4 0.02 39

(0.13) 0.08

167.625 0.250

0.125 (0.625)

168.11.1 (11.1)0.111 0.111

169.0.0027 0.81(0.09) 0.003

170.(1.48) 3.43

(0.49) 7 (0.04)

171.17.28 51.2

14.4 1.2 (0.64) 0.08

172.0.04 0.3 0.06

(0.9) (0.0008)

173.0.1 0.01 10

100 0.001 0.0001

174.8400 0.09 162

0.08 810

175.0.08 0.08

(0.2) (0.2) (0.2)

1.12 SPEED MATHS

176.(7.2) 9.6

(0.18) (1.2)

177.19.2 0.420(0.12) 0.014

178.0.56 290.58 4

179.399 0.050.3 2.5

Square of Decimal numbersFind Squares of fol lowing numbers -

180. (1.7)2 =

181. (0.09)2 =

182. (20.5)2 =

183. (1.1)2 =

184. (0.64)2 =

185. (7.2)2 =

186. (0.8)2 =

187. (5.6)2 =

188. (0.98)2 =

Cubes of Decimal numbersFind Cubes of fol lowing numbers -

189. (0.03)3 =

190. (0.9)3 =

191. (0.06)3 =

192. (1.1)3 =

Squares Roots of Decimal numbersFind Squares Roots of fol lowing numbers -

193. 0.6561 =

194. 136.89

195. 1.1881

196. 2.7225

197. 0.0049

198. 98.01

199. 10.24

Cubes Roots of Decimal numbersFind Cubes Roots of fol lowing numbers -

200. 3 0.000008

201. 3 1.331

202. 3 12.167

203. 3 0.015625

204. 3 19.683 Solve the following -

205.2

2 2

(0.2) 16(0.04) (0.02)

206.3

2

(0.9) 0.3(0.9) 0.03

207.3

2

(0.5) 0.1(0.05) 5

208.3 0.064 100

0.64 10

209.3

2

0.008 (0.3)

(0.2) 0.09

210.2 3

3

0.1 (0.1) (0.1)

0.01 0.001

211.3 0.729 27

0.09 7.29

212. 2

0.064 0.081(0.006)

213.2

2

(0.2) 20(0.02) 500

214.3

2

(0.4) 64(0.04) 160

215. 3 3

0.04 0.01

0.008 0.001

216.30 1.96 200

140 15

217.325 0.125

6.25 0.05

218. 3

(12) 1.21

1.331 ( 16)

219.3 1.728 144

16 9 0.1

220.3 3

3

0.001728 0.003375

0.019683

SPEED MATHS 1.13

ANSWERS

11. (d) 12. (b) 13. (a) 14. (d) 15. (c) 31. (b) 32. (e) 33. (e) 34. (b) 35. (d)

36. (a) 37. (e) 38. (c) 39. (a) 40. (b) 41. (d) 42. (e) 43. (b) 44. (d) 45. (e)

46. (b) 47. (b) 48. (c) 49. (e) 50. (a) 51. (a) 52. (d) 53. (a) 54. (e) 55. (e)

EXPLANATI ONS

1. 8428

2. 10914

3. 9114

4. 20604

5. 55537

6. 497421

7. 35949

8. 14652

9. 3078

10. 44732

16.123

= 0.0435.

Percentage equivalent of 523

= 5 0.0435 100 = 21.75%.

17.1

0.03727


= 11 0.037 100 = 40.7%.

18.1

0.058817


17= 4 0.0588 100 = 23.52%.

19.1

0.076913


13= 8 0.0769 100 = 61.52%.

20.1

0.090911


= 7 0.0909 100 = 63.63%.

21. 125

22. 63

23. 0.06

24. 1.12

25. 10000

26. (77)2 = 25 + 27 | (27)2 = 52 | 729 = 52 + 7 | 29 =5929.

27. (89)2 = 89 – 11 | (11)2 = 78 | 121 = 78 + 1 | 21 =7921.

28. (36)2 = 25 – 14 | (14)2 = 11 | 196 = 11 + 1 | 96 =1296.

29. (43)2 = 25 – 7 | (7)2 = 18 | 49 = 1849.

30. (73)2 = 25 +23 | (23)2 = 48 | 529 = 48 + 5 | 29 =5329.

31. b 3 15 549

168 ? 2358 5 9

3 21 3 + ? = 61 + 235 ? = 107.

32. e 158.25 4.6 + 21% of 847 + ? = 950.93

727.95 + 21

100 847 + ? = 950.93

727.95 + 177.87 + ? = 950.93

? 45.

33. e 85.147 + 34.912 6.2 + ? = 802.293

? = 802.293 – 85.147 – 216 .454

? 500.

Alternat ive solut ion:

Taking values in nearest integers, we get

85 + 35 6.2 + ? = 802

? = 802 – 85 – 217

? = 500.

34. b 9548 + 7314 = 8362 + ?

Taking approximate values,

9550 + 7310 = 8360 + ?

? = 16860 – 8360

? = 8500.

1.14 SPEED MATHS


9550 – 2 + 7310 + 4 = 8360 + 2 + ?

? = 16860 – 8360

? = 8500.

35. d 53 1

180 4803 4

= 53 60 + 120 = 3180 + 120 = 3300.

36. a 248.251 12.62 20.52.

248.25120.52

12.62

= 19.67 20.52

400.


248.25120.52

12.62

24020

12

20 20 400.

37. e 2 2

128? 7 2

16 17 8 6 ?

8(?) – 14 = 49 – 48 + ?2

?2 – 8(?) + 15 = 0

? = 3, 5

Hence, ? = 3.

38. c 9876 24.96 + 215.005 – ? = 309.99

9876215.005 ? 309.99

24.96


9875215 ? 310

25

? = 395 + 215 – 310

? = 300.

39. a 40.83 1.02 1.2 = 49.97592

Alternative method:

Taking approximate values.

= 41 1.0 1.2 = 49.2.

Which is near ly equal to 49.97592.

40. b 1 3 1 22

3 6 1 ?3 7 2 7

10 45 3 22?

3 7 2 7

10 7 3 22?

3 45 2 7

22? .

9

41. d 3978 + 112 2 = ? 2

?3978 224

2

? = 2 4202

? = 8404.

42. e 125% of 4875 + 88.005 14.995

1254875 88.005 14.995

100


1254880 88 15

100

6100 + 1320

7420 7415.

43. b 1010 36 +187 20.05 = ?


1080187 20 ?

36

? 30 + 3740

? 3770.

44. d 127.001 7.998 + 6.05 4.004 = ?


? = 127 8 + 6 4

? = 1016 + 24

? 1040.

45. e 133 %

3 of 768.9 + 25% of 161.2 – 58.12 = ?

100 1 25? 768.9 161.2 58.12

3 100 100


1 1? 768 160 58

3 4

? = 256 + 40 – 58

? = 238

? 240.

46. b (251 21 12) ? = 158.13

251 21 12?

158.13


250 20 12?

150

? 400.

47. b 25.6% of 250 ? 119

25.6250 ? 119

100

SPEED MATHS 1.15

25252 ? 119

100

? 55

? 3025. 48. c 36865 + 12473 + 21045 – 44102 = ?

? 36850 + 12500 + 21030 – 44100

? 26280 26281.

49. e (15.20)2 – 103.04 ? = 8

2 103.0415.20 8

?

2 10015 8

?

100217

?

100?

217

? 0.5.

50. a 3 2

7428 ? 6194 9

619 4 9?

7428 3 2

620 4 9?

7420 3 2

62 2 3?

742

62?

124

? 0.5. 51. a (560 32) (720 48) = ?

560 720?

32 48

35? 15

2

? = 262.5.

52. d 3.2% of 500 2.4% of ? = 288

3.2 2.4500 ? 288

100 100

16 2.4 ? = 28800

28800?

16 2.4

1800?

2.4

18000?

24

? = 750.

53. a 14785 – 358 – 4158 – 9514 = ?

? 14800 – 360 – 4160 – 9520

? 14800 – 14040

? 760 (approx.)

? 755.

54. e 1425 + 8560 +1680 200 = ?

1680? 1425 8560

200

1600? 9985

200

? 9985 8

? 9993. 55. e [(12)2 (14)2] (16)2 = ?

12 12 14 14?

16 16

3 3 7 7?

4

? 110. 56. 85 57. 42

58. 53 59. – 52

60. – 84 61. – 97

62. 9872 63. – 436

64. – 16665 65. 12345

66. 67802 67. – 1430

68. – 99999 69. – 17357

70. – 71625 71. 111100

72. 999999 73. 367913

74. – 841556 75. – 417100

76. – 996016 77. – 808088

78. 176 79. 24642

80. – 1332 81. 266400

82. – 4115 83. 1111

84. 20202 85. – 10101

86. – 10 87. 2004

88. – 555555 89. 3003

90. – 10000 91. 1

92. 91091 93. 1

94. 1369 95. 1764

96. 9604 97. 3136

98. 5329 99. 12321

100. 15876 101. 7056

102. 4761 103. 11664

104. 44 105. 92

106. 39 107. 47

108. 165 109. 71

1.16 SPEED MATHS

110. 131 111. 136

112. 157 113. 112

114. 163 115. 145

116. 1295029 117. 140608

118. 13824 119. 274625

120. 373248 121. 571787

122. 46656 123. 19683

124. 1367631 125. 117649

126. 54 127. 60

128. 92 129. 48

130. 71 131. 123

132. 127 133. 151

134. 97 135. 116

136. 20.28 137. 3.22

138. 4.66 139. 303

140. – 109.08 141. 820.8

142. – 357.48 143. – 1111.104

144. 3816.603 145. 1370.4664

146. – 1212.3111 147. – 8504.7237

148. 2.107 149. 1.0302

150. – 72 151. 135

152. 0.8888 153. 5555

154. 0.6 155. 0.000001

156. – 321 157. – 11.011

158. – 20.202 159. 1

160. – 300 161. 1

162. 1400 163. 5

164. 2222 165. – 10201

166. – 30 167. – 2000

168. – 10000 169. – 8.1

170. – 37 171. – 1000

172. – 1 173. 1000

174. 1890 175. – 0.8

176. – 320 177. – 4800

178. 7 179. 26.6

180. 2.89 181. 0.0081

182. 420.25 183. 1.21

184. 0.4096 185. 51.84

186. 0.64 187. 31.36

188. 0.9604 189. 0.000027

190. 0.729 191. 0.000216

192. 1.331 193. 0.81

194. 11.7 195. 1.09

196. 1.65 197. 0.07

198. 9.9 199. 3.2

200. 0.02 201. 1.1

202. 2.3 203. 0.25

204. 2.7 205. 1000000

206. 9 207. 1

208. 5 209. 5

210. 0.0001 211. 100

212. 2000 213. – 4

214. – 16 215. 1

216. 4 217. 100

218. 3 219. 144

220.3 3

3

0.001728 0.003375

0.019683

3 33 3

33

(0.3 0.4) (0.3 0.5)

(0.3 0.4)

0.3 0.4 0.3 0.50.3 0.9

0.9

10.9

administrative and production offices - gk publication€¦ · administrative and production...

Documents