Download Quantitative shortcuts and Tricks for IBPS,SBI,RRb,SSC,UPSC and other competitive exams

Here we sharing updated version(V.2) quantitative aptitude shortcuts and formulas pdf ebook for bank and other competitive exams.You can read it in pdf ebook format and you can also download this arithmetic shortcut tricks for various competitive exams for free.

Contents of the below quant shortcut formula ebook

Chapter 1:Basic Math Shortcuts

  1. Division-shortcuts

  2. Multiplication-shortcuts

  3. Square-Shortcut Tricks

  4. Cubes-Shortcut

  5. Cube root(for perfect cubes only)

Chapter 2:Ratio and Fractions

  1. Ratios-Important rules and shortcuts

  2. Comparison of ratios and Fractions

Chapter 3.Simple Interest and Compound Interest

  1. Simple Interest

  2. Compound Interest

Chapter4:Mixture and Alligation

  1. When Two quantities are mixed

  2. If more than two different commodities are mixed

 3. Removal and replacement

Chapter 5:Work and Time

Chapter 6.Profit and loss formulas and shortcuts

Chapter 7:Pipe And Cistern Shortcuts for Bank Exams

Chapter8:Time distance and speed

  1. Ratio of speed

  2. Average speed

  3. Points to be noted while doing 'train and time' problems

  4. Boat and stream problems

Chapter9:Permutation and combination important formulas and shortcuts

  1.Permutation Formulas and shortcuts

  2.Combination Important formulas

Chapter10:Probability formulas

  1.Some random experiments and their outcomes

  2.Probability of occurrence of an Event

  3.Important Results on probability

Quantitative shortcuts and tricks ebook V.2

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simon     13:37:00     3 comments:

Simple Interest and Compound interest shortcut formulas and trick for bank exams

Every bank exam contains simple interest and compound interest questions.Every candidate can solve these questions.But in bank exams, time management is an important factors.Shortcut formulas play an important role in time management.Here we are sharing important formulas and shortcuts for solving simple interest and compound interest faster.Hope this will save your few valuable minutes during next exam.

Simple Interest

Simple interest is given by the formula I= PRT /100

P=PRINCIPLE R=RATE OF INTEREST per annum T=TIME PERIOD

• If principle doubles in T years,then R=100/T
• If principle triples in T years ,then R=200/T
• if principle becomes  four times in T years,then R=300/T

Compound Interest

Compound interest is given by,

                                  

 Amount after T years ,

                                      

• If rate is R1,R2 & R3 for 1st,2nd and 3rd year respectively then amount is ,

                              

• If difference of S.I and C.I is given for 2 years

                             

Example:Difference between simple interest on certain sum of money for 2 years at 4% and compound interest for same period at same rate is 200.Find the  sum

Ans:Principle=difference*(100/2)^2=200*100/2*100/2=RS 500000.

• If difference of S.I and C.I is given for 3 years                                  

• If amount compounded half yearly R will be replaced by R/2 and T will be replaced by 2T

                                     

• If amount compounded quarterly R will be replaced by R/4 and T will be replaced by 4T

                                            

Eg :Find the compound interest of Rs.10,000 in 9 months at 4%per annum interest payable quarterly.

Rate=4/4=1%,Time period= 9 months=3 quarter years.

CI=10,000*((1+1/100)^3 -1)=303.01.

• If an amount A becomes B in T1 years ,then at T2 years                                        

Shortcut for finding compound interest 

In some cases evaluation of C.I using formula will be time consuming. Here is an alternate method for calculating compound interest.

Let Principle = P, Compound interest % =  x % per annum , Time period=T

If T=2 , 

Total interest percentage for the first year=x,

Total interest percentage for the second year=x + x% of x= x+ (x*x/100)

Then effective percentage of interest =2x + x*x/100

Then C.I=(2 x + x*x/100) % of P= P*[(2x + x*x/100)/100]

If T=3

Total interest percentage for the first year=x,

Total interest percentage for the second year=x + x% of x= x+ (x*x/100)

Total interest percentage for the third year= x + x % of ( x + x+ x*x/100) =x+ x*( x + x+ x*x/100)/100)

Then effective percentage of interest= x+ x+ (x*x/100) + x+ x*( x + x+ x*x/100)/100)= 3x+ (x*x/100) +x*( 2x + x*x/100)/100)

You may be finding  formulas lengthy, but you will find this method simpler after practicing some problems.Especially if T=2, then this method will be much faster than conventional method using the commonly used formula.

Now let us solve two problems using above method.

Example 1 : What is the compound interest paid on a sum of Rs.3000 for the period of 2 years at 10% per annum.

1. 630
2. 620
3. 610
4. 600

Solution= Interest % for 1st year= 10

                 Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11

                 Total % of interest= 10 + 11=21

                 Total interest = 21 % 3000= 3000 * (21/100)= 630

So, answer is option 1

Example 2:What is the compound interest paid on a sum of Rs.3000 for the period of 3 years at 10% per annum.

1. 900
2. 930
3. 990
4. 993

Solution= Interest % for 1st year= 10

                 Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11

                 Interest % for 3rd year= 10+ 10%(10+11)=10+ 2.1=12.1

                 Total % of interest= 10 + 11+12.1=33.1

                 Total interest = 33.1 % 3000= 3000 * (33.1/100)= 993

So, answer is option 4

Simple interest, compound interest practice questions

1.A man derives his income from an investment of Rs.2000 at a certain rate of interest and Rs.1600 at 2% higher. The whole interest in 3 years is Rs.960. Find the rate of interest.

Answer:8%

2.A man buys a house and pays Rs.8000 cash and Rs.9600 at 5 year credit at 4% per annum simple interest. Find the cash price of the house.

Answer: Rs.16000

3.The simple interest on a certain sum of money for 3 years at 4% is Rs.303.60. Find the compound interest on the same sum for the same period at the same rate.

Answer:315.90

4.If a certain sum given on simple intrest doubles in 20 years. In how many years will it be four times?

Answer:60 years

5.A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to 8 times.

Answer:12 years

• Simple Interest Compound Interest Practice questions PDF(15 questions Fully solved with shortcuts)

               

If you need explanation for any of the above practice questions you can comment below.Share this article on  "Simple interest and compound interest Shortcuts for bank PO and Clerk exams" and practice questions of simple interest and compound interest with you friend.Like us on facebook to get more study materials for bank PO and clerk.

simon     13:16:00     4 comments:

Ratio,proportions and Fractions for competitive exams(bank po,clerk,ssc,cat,mat,upsc etc..)

Ratio and Fractions shortcuts and tricks:In most of the competitive exams quantitative part will be time consuming when compared with other sections.This is same in case of bank exams also.To improve your overall quantitative aptitude speed ,you must me thorough with basic maths rules and shortcuts. Here we are sharing some important rules and shortcut tricks for ratio proportion and fractions. This will not only help you in solving ratio and fraction questions faster, but also improve your overall maths speed.Here we have covered all important rules and formulas of ratio,proportion and fractions and examples are included for better understanding.

Ratio and proportion-Important rules and shortcuts

Example:If P:Q=2:3, Q:R=4:5 then P:R=?

P/R=(P/Q)*(Q/R)=2/3*4/5=8/15,thus P:R=8:15

Example:P:Q:R=2:3:4,then P/Q:Q/R:R/P=?

P/Q:Q/R:R/P=2/3:3/4:4/2=8:9:24

Example:If 2P=3Q=4R then P:Q:R=?

Let 2P=3Q=4R=K, 
we get P=K/2,Q=K/3,R=K/4 
=> P:Q:R=K/2:K/3:K/4=1/2:1/3:1/4=6:4:3

Example:P:Q=1:2,Q:R=4:5,R:S=10:3 then P:Q:R:S=?

 Make the  Q term in first and second fraction same and make the R term similar in second and third fractions as follows

P:Q:R:S=2:4:5:3/2=4:8:10:3

Comparison of ratios and Fractions

Method1:To compare two fractions  we can  make either denominators same or numerators same.

Example:2/5 and 3/10

To find out which is greater, make denominators same.We get 4/10 and 3/10.From this we can conclude,2/5>3/10

                            or make numerator same

Fractions will become 6/15 and 6/20,obviously 6/15>6/20.

Method2:This method can be applied if difference between numerator and denominator is same for all given fractions.

Example:1/2,3/4,7/8. Here 2-1=4-3=8-7=1.In such cases, just look at the numerator .Smaller the numerator will be smaller fraction.1/2<3/4<7/8.

Method3:this method is applicable for all fractions.

If a/b and c/d are fractions under consideration,cross multiply numerator and denominator .ie a*d and c*b.

If a*d>b*c,then a/b>c/d

Example:7/11 and 3/5

cross multiply denominator and numerator.We get 7*5 and 11*3 

Since 7*5>11*3 ,7/11>3/5

Click here for square,square root and cube root shortcuts 

Basic Maths Tricks&shortcuts for division&multiplication 

Don't forget to share Ratios and Fractions shortcuts with your friends  .

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simon     10:32:00     1 comment:

Square,square root,cube ,cube roots shortcuts and tricks

Square ,square roots ,cube,cube root shortcuts for bank exams:As you know in bank exams speed is a major factor.In most of the bank exams there will be 10-15 questions from basic maths and simplifications,out of which 2-4 questions will contain square/square root/cube/cube root.Many candidates take it lightly and commit unforced errors.By understanding some basic formulas you can avoid such errors.We are sure that our shortcuts and tricks for squares and cubes will improve your calculation speed considerably. In quantitative section you can save your precious time by practicing maths shortcuts and Tricks.Here we are sharing some useful shortcuts for finding square,square root,cube and cube roots.Hope you will find this useful in upcoming exams.

Square,square root,cube ,cube roots shortcuts and tricks:PDF ebook

Here is the ebook for squares,square roots,cubes cube roots shortcut trick.You can also download this ebook in pdf format from the link provided below.

Click here for Tricks&shortcuts for division&multiplication

If you find this article on Square,square root,cube ,cube roots shortcuts useful  ,then hit like button and share it on Facebook, twitter or google plus.
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simon     00:29:00     3 comments:

Basic Maths Tricks and shortcuts for competitive exams:Multiplication and Division shortcut

Basic Maths Tricks and shortcuts for competitive exams:In every competitive exam, if you want to succeed you should manage your time well.To crack a bank exam , time management is a crucial factor.Understanding some shortcuts and tricks will definitely save your time during common written examinations.Here we are sharing some simple but powerful time saving shortcut tricks for division and multiplication.

1. Division-shortcuts

In division instead of direct division, use factoring method

Example:1848/264=(2*3*4*7*11)/(2*3*4*11)=7

2.Multiplication-shortcuts

SUM – 10 METHOD:

Example: 78 and 72.  These two numbers, if we add the numbers in the unit's place, the resultant is 10 and thenumbers in the ten's place are both the same. In such cases, we can have a simple solution.

Step1: multiply the numbers in the unit's place and write down the resultant. (8*2 = 16)

Step2: say, the number in the ten's digit is a, then multi a*(a+1) and write down the resultant. => (7*(7+1) = 56)

Step3: write the final result: 5616

Example:118*112 follow above steps

 8*2 = 16; and 11*(11+1) = 11*12 = 132. And hence

the result is: 13216.

In short: ab*ac = (a*(a+1))(b*c)

Base Method:

Base numbers, in general, are nothing but multiples of 10. If the given numbers are nearer to

base numbers, then you can follow this method to multiply them.

Example: 98*95 =?

Here 98 is ,2 less than the base number 100 and 95 is ,5 less than 100. We can write them like this:

98  -2

95  -5

The first step will be deducting/subtracting the resultant of the diff between the base number and the given number with the given number in a cross-way! That is, you need to subtract 98 and 5 (which is the resultant of difference between the base number and 95) or you can also cross-subtract 95 and 2, the result will be same. This result forms the 1st part of the resultant at the start. The last part of the resultant will be multiplication of the differences from base numbers (i.e., 2 * 5 = 10)

98  -2

95  -5

(98 – 5) (-2 * -5)

Hence, the answer will be: 9310

Example: 998*997 =?

998  -2

997  -3

Observe carefully, in the second part, the multiplication of difference yield in a single digit number, but no. of zeroes in the base number, here 1000, is three. Hence add two zeroes before the result. Therefore, the answer will be: (998-3) | (-2 * -3) = 995006

What if the numbers we get are like this? I mean, the base is 50 here. We will follow the same procedure as above but a small difference that the resultant in the first part will be halved. And if the base is 200, then the number will be doubled and so on based on the base number.

Multiplication with 5,25,50 etc...

Substitute 5 by 10/2,25 by 100/4 and 50 by 100/2.

Examples:

1. 5*18=18*10/2=180/2=90
2. 24*25=24*100/4=2400/4=600
3. 73*50=73*100/2=7300/2=3650

Multiplication with 9, 99,999 etc..

Examples:

1. 13*9=13*(10-1)=130-13=117
2. 26*99=26*(100-1)=2600-26=2574
3. 350*999=350*(1000-1)=350000-350=349650

Click here for square,square root and cube root shortcuts 

Hope this shortcuts will help you do better.Share it if you find this shortcuts useful.
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simon     00:02:00     6 comments: