how to 9999*9997 in 5 secs with Base method

Procedure Do the tricks

1. Find the near base
2. divide into two sections 
3. left side is cross sum and right side multiplication of two values
4. for right side we need to take result number should be equal to the number of zeros in base

For better knowing we will take simple Example

1) Solve 7*8? It is easy for this but in the point of large numbers it is useful
Ans)    step by step

•  Finding the nearer base 

                            7       near base is 10  

                            8       near base is 10  

• Finding the Deviation from Base

                             7         -3( it comes 10-7=  -3)

                             8         -2 ( it comes 10-8= -2)

• Next step DO the the third step

                             7          -3

                             8         -2

                   -----------------------------

     Either (7+(-2) or (8+(-3)   |     multliply -3*-2( take result euqal to num of zeros in base)

                            5     |     6

          So ans is  7*8  =  56

2.  Solve 999*996?

Ans)   

•      Near Base is 1000
• Finding the Deviation

                      999          -1

                     996          -4

• FInd the ans  by cross sum and multiplication

                     999           -1

                     996          -4

           --------------------------------

                    995     |       4( is the right ans but not because num of zeros in base is 3 so we will take 004)

    =>             9997           -3

                     9999           -1

           --------------------------------

                    9996    |       3(

So the final answer is  999*996   =   995004

3.Find  9997*9999? 

Ans)   

•      Near Base is 10000
• Finding the Deviation

                      9997          -3

                      9999          -1

• FInd the ans  by cross sum and multiplication

        =>         9997           -3

                     9999           -1

           --------------------------------

                    9996    |       3( is the right answer but not because num of zeros in the base is 3 so we will take 004)

         =>        9997           -3

                     9999           -1

           --------------------------------

                    9996    |       003

So the final ans is  999*996   =   9996003

basics of simplification for SSC UPSC IBPS

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First of all welcome to www.job-updates.com  and we are providing all job updates, jobs information, shortcuts or tricks on Aptitude(Number series, simplification, time and work, time and distance, time and speed), reasoning, General Knowledge, as well as current affairs.

Simplification

Step 1: Parts of the expression enclosed in ‘Brackets’ must be solved first. Inside the brackets, once again BODMAS rules apply!

Step  2: The mathematical operators ‘of’ and ‘order’ must be solved next. ‘Of’ means part of and is solved by substituting with a multiplication sign. ‘Order’ is the same as exponent. Powers are solved after brackets. Powers also include roots.

Step 3: Next, the parts of the equation that contain ‘Division’ and ‘Multiplication’ are calculated.

Step 4: Last but not least, the parts of the equation that contain ‘Addition’ and ‘Subtraction’ should be calculated.

Here is an example, to help you understand the BODMAS rule concept.

EXAMPLE:

What will come in place of question mark (?) in the following question?

240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ (11 × 24 ÷ 8 × 3 – 69)²} = ?

(1) 4111

(2) 3441

(3) 4441

(4) 3841

Ans: (4)

Solution:

Given expression is,

240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ (11 × 24 ÷ 8 × 3 – 69)²} = ?

According to the BODMAS, first we need to solve the Brackets.

Here in this equation first we will solve curly bracket and inside the bracket, we will again follow BODMAS Rule. In the curly bracket once again another bracket appears. So we solve that bracket first. Within these smaller brackets, there is no ‘of’ or ‘order’, so we proceed with the following steps in BODMAS.

We see multiplication, division and subtraction signs. Since multiplication and division are of the same rank, we go left to right to solve this. First we multiply, then we divide. Then we perform the second multiplication. After that, we proceed to the subtraction.

Here are the steps to illuminate this process.

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ (264 ÷ 8 × 3 – 69)²} = ?

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ (33 × 3 – 69)²} = ?

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ (99 – 69)²} = ?

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ 30²} = ?

Now we have reached the end of the small brackets. We encounter our first exponent. So we need to solve this ahead of division.

Now solving curly bracket,

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ of {1800 ÷ 900} = ?

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ of 2 = ?

So far we have cleared all the brackets. Now we move to the next step. We come across our first ‘of’. Here, we simply treat ‘of’ as product i.e. multiplication. But note that, ‘of’ will be solved before a regular multiplication.

⇒ 240 ÷ 8 × 512 ÷ 4 + ½ × 2 = ?

⇒ 240 ÷ 8 × 512 ÷ 4 + 1 = ?

Now, we have cleared our expression of all brackets, exponents and ‘of’s. We now move to the 3^rd step. Here we perform all the divisions and multiplications. Note that these two operations are the same rank. So we perform either in the order we come across them in, from left to right.

⇒ 30 × 512 ÷ 4 + 1 = ?

⇒ 15360 ÷ 4 + 1 = ?

⇒ 3840 + 1 = ?

Now we have cleared the expression of all multiplication and division operations as well. All we are left with is addition and subtraction.

⇒ ? = 3841

Hence, the required answer is 3841.

Now, Try It Yourself:

Que. 1

What will come in place of question mark (?) in the following question?

24 + 13 – 5 × ½ of 10 - {45 ÷ (17 – 2)} =?

1.

11 

2.

-7 

3.

9

4.

18

Solution

Answer:

Follow BODMAS rule to solve this question:

Given expression is,

24 + 13 – 5 × ½ of 10 – {45 ÷ (17 – 2)} =?

⇒ ? = 24 + 13 - 5 × ½ of 10 – {45 ÷ (15)}

⇒ ? = 24 + 13 – 5 × ½ of 10 – {3}

⇒ ? = 24 + 13 – 5 × (½ × 10) – 3      (of means ‘×’)

⇒ ? = 24 + 13 – 5 × 5 – 3

⇒ ? = 24 + 13 – 25 – 3

⇒ ? = 9

Hence, the required answer is 9.

how to solve five digit Square IBPS

how to solve five digit Square in less time

First of all welcome to www.job-updates.com  and we are providing all job updates, jobs information, shortcuts or tricks on Aptitude(Number series, simplification, time and work, time and distance, time and speed), reasoning, General Knowledge, as well as current affairs.

Now we will go to the Topic How to square a number easily

Similer topic how-to-cube-number-in-just-5secs

First we are starting this topic we just learn three basic formula's for this topic

1. (A+B)^2             =(A^2)+(B^2)+(2*A*B)
2. (A+B)^2             =(A^2)+(B^2)-(2*A*B)
3. (A^2)-(B^2)       =(A+B)(A-B)

Now we will practice some problems on this

Based on Formala -1

Ex:-  (102)^2=?

Ans)   According to Formula we will devide 102 into  100+2

        (102)^2         =  (100+2)^2

                              =  (100)^2+(2)^2+(2*100*2)

                              =  10000+4+400

         (102)^2        =  10404

      Like that we can solve 5-disit number also

Based on Formala -2

Ex:-  (98)^2=?

Ans)   According to Formula we will devide 98 into  100-2

        (98)^2           =  (100-2)^2

                              =  (100)^2+(2)^2-(2*100*2)

                              =  10000+4-400

           (98)^2        =  9604

      Like that we can solve 5-disit number also

Based on Formala -3

Ex:-  (95)^2-(5)^2=?

Ans)   According to Formula we will write it as (95)^2-(5)^2  =  (95+5)(95-5)

         

           (95)^2-(5)^2     =   (95+5)(95-5)

                                     =    100*90

                                     =    9000

Viral Aptitude Questions in japan & 60% failed to answer You?

Viral maths Basics rules of Aptitude

Do you know the Basic fundmentals of Aptitude ?

The question Which is viral in Japan is


Q) 9-3/(1/3)+1=?

Ans)  Before going to the answer we just know about basic fundamentals of aptitude

        We need to apply BODMAS rule to solve the equation.. which is 
                                         
                              B      -    Bracket 
                              O      -    of
                              D      -     Division
                              M     -      Multiplication
                              A      -      Addition
                              S       -     Substraction
we need to follow the above Priority to solve      

     9-3(1/3)+1   =>      9-9+1                           (Assume 3/(1/3)  =>  (3/1)/(1/3)    => 9/1  =>9
                                  =0+1
                                   =1

Example 2:

2.  5+63/9+2-12/3=?

Ans )     first we need to apply BODMAS rule 

                 =  5+63/9+2-12/3
             IN this problem no brackets so we go for solving divisions first
                 =  5+7+2-4
              Next No multiplications available so we go for addition
                  =  14-4
              Next we go for substraction
                  =   10

       Ans    5+63/9+2-12/3  =  10

              

how to find cube and cube root of a number

Topic:1 How to find the cube root of a number

First of all welcome to job-updates.com

Before we are going to the topic of cube root of number faster we need to learn a simple table for easy shortcuts

Number             Cube         Last digit

     ----------------------------------------------------
     1                             1                          1
     2                             8                          8
     3                           27                          7
     4                           64                          4
     5                         125                          5
     6                         216                          6
     7                         343                          3
     8                         512                          2
     9                         729                          9
   10                        1000                         0         

The simple trick to remember the last digit of this table because this table is very important to find the cube root

For  numbers     1,4,5,6,9,0 is same the last digit occurs 
              Number 2 flips 8 and vice versa
              Number 3 flips 7 and vice versa

Now we will learn the basic procedure to solve the cube root of a number

1. Take the unit digit same to the result.
2. Leave the last three digits of the number.
3. The last step is to find the nearest cube and put the left side of the unit digit.
4. Now you will get the result of the cube root.

Now we will solve the examples of the cube root

1.find the cube root of 39,304?

Ans)  From the above procedure

1. first finding the unit digit so it is 4
2. Leaving the last three numbers   so  leave304 we get remaining 39
3. find the nearest cube for 39 which is 27=  3³ 
4. Finally, club the answer to get the cube root of 39,304

          ^{which is the cube root of 39,304= 34}

1.find the cube root of 636,056?

Ans)  From the above procedure

1. first finding the unit digit so it is 6
2. Leaving the last three numbers   so  leave 056 we get remaining 39
3. find the nearest cube for 39 which is 512=  8³ 
4. Finally, club the answer to get the cube root of  636,056

          ^{which is the cube root of 636,056= 34}

Topic2: How to cube a number in just 5sec

Now we are learning about cube of a two digit number

Now   we divide into Four categories which is below

• Numberr starts with 1
• Number Ends with 1
•  Same Number
• Different Numbers

Similer topic : How to square a five digit number  

1. Number starts With "1".

The procedure is just 1, x¹,x²,x³  Here X is the Second digit of a Number

and in a second line leave the first and last digits and then double the remaining numbers and Add the now then we get result

For Example  12³=       1       2       4        8

                                       +          4       8         

                                       -----------------------------

                                            1      7      2        8

                         Now  12³=  1728       

                                               

2.Number Ends With "1"

The procedure is reverse of above 

  x³,x²,x¹,1 like this  here x is the first value

and in a second line leave the first and last digits and then double the remaining numbers and Add the now then we get result

For Example     31³  =        27        9         3          1

                                        +                18         6     

                                          ----------------------------------

                                                29        7          9         1

                               

                           Ans  31³= 29791    

                             

3.Same number repeated:

The Procedure for this  forall four we just enter as x³,x³,x³,x³ same here X is same so no issue andin a second line leave the first and last digits and then double the remaining numbers and Add the now then we get result

For Example    22³ =         8        8        8       8 

                                            +         16      16    

                                            ---------------------------

                                              10      6        4        8

                            Ans   22³ = 10648

4.Different number comes:

Here is different from all

Here we consider 1st digit as X and 2nd Digit as Y

The procedure    x³,(x²*y),(y²*x), y³

and a second line leave the first and last digits and then double the remaining numbers and Add the now then we get result

For Example   23³  =   8     12      18        27

                                      +        24      36

                                     -----------------------------

                                         12     1        6         7

                         Ans 22³= 12167

Simplification 4

Welcome to aptitude tricks

Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Simplification. We have included Some questions that are repeatedly asked in bank exams !!!

1. 572 ÷ 26 x 12 – 200 = 2? 
   A. 5
   B. 3
   C. 6
   D. 7
   E. None of these
   
   Answer & Explanation

   Answer – C. 6
   Explanation :
   572 ÷ 26 = 22
   22 x 12 = 264
   264 – 200 = 64 = 26
2. 43931.03 ÷ 2011.02 x 401.04 = ?
   A. 7500
   B. 8300
   C. 8800
   D. 8850
   E. None of these
   
   Answer & Explanation

   Answer – C. 8800
   Explanation :
   (44000 ÷ 2000) x 400 = 8800
3. [(3√8 + √8) x (8√8 + 7√8)] – 98 = ?
   A. 352
   B. 382
   C. 362
   D. 372
   E. None of these
   
   Answer & Explanation

   Answer – B. 382
   Explanation :
   [√8(3 + 1) x √8(8 + 7)] – 98
   [4√8 x 15√8] – 98
   480 – 98 = 382
4. (23.1)2 + (48.6)2 – (39.8)2 = ? + 1147.69
   A. 185.84
   B. 175.84
   C. 135.84
   D. 163.84
   E. None of these
   
   Answer & Explanation

   Answer – D. 163.84
   Explanation :
   533.61 + 2361.96 – 1584.04 = ? + 1147.69
   1311.53 – 1147.69 = 163.84
5. 3463 × 295 – 18611 = ? + 5883
   A. 997071
   B. 997091
   C. 999090
   D. 997090
   E. None of these
   
   Answer & Explanation

   Answer – B. 997091
   Explanation :
   3463 × 295 = 1021585
   1021585 – (18611 + 5883) = 997091
6. √7378 x √1330 ÷ √660 = ?
   A. 130
   B. 120
   C. 160
   D. 170
   E. None of these
   
   Answer & Explanation

   Answer –B. 120
   Explanation :
   √7378 ≈ 86; √1330 ≈ 36; √660 ≈ 26
   86 x 36 ÷ 26
7. 6999 ÷ 70.005 x 94.998 = ? x 19.999
   A. 475
   B. 380
   C. 640
   D. 720
   E. None of these
   
   Answer & Explanation

   Answer – A. 475
   Explanation :
   7000 ÷ 70 x 95 = ? x 20 ≈ 475
8. 89.988% of 699.9 + 50.002% of 999.99 – 170.015 = ?
   A. 950
   B. 930
   C. 960
   D. 970
   E. None of these
   
   Answer & Explanation

   Answer C. 960
   Explanation :
   ≈ (700 * (90/100) + 1000 * (50/100)) – 170
   ≈ 630 + 500 – 170 ≈ 960
9. √(72 x 24 x 2 -(11)³ + 3) = ?
   A. 52
   B. 32
   C. 62
   D. 72
   E. None of these
   
   Answer & Explanation

   Answer – B. 32
   Explanation :
   √(2352 – 1331 + 3) = √1024 =32
10. 65% of √3136 x 5 = ? + 154
    A. 56
    B. 28
    C. 35
    D. 32
    E. None of these
    
    Answer & Explanation

    Answer – B. 28
    Explanation :
    (65/100)*56*5 = ? + 154
    182 – 154 = 28

Simplification 3

Welcome to aptitude tricks

Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Simplification. We have included Some questions that are repeatedly asked in bank exams !!!

1. (4438 – 2874 – 559) ÷ (269 – 106 – 83) = ?
   A. 14.5
   B. 12.5
   C. 20.5
   D. 27.5
   E. None of these
   
   Answer & Explanation

   Answer – B. 12.5
   Explanation :
   4438 – 2874 – 559 = 1005 ; 269 – 106 – 83 = 80; 1005 ÷ 80 = 12.5
2. (78.95)² – (43.35)² = ?
   A. 4353.88
   B. 4153.88
   C. 4253.78
   D. 4053.78
   E. None of these
   
   Answer & Explanation

   Answer – A. 4353.88
   Explanation :
   (78.95)² – (43.35)² = 6233.1025 – 1879.2225 = 4353.88
3. 434.43 + 43.34 + 3.44 + 4 + 0.33 = ?
   A. 455.54
   B. 485.54
   C. 475.54
   D. 465.54
   E. None of these
   
   Answer & Explanation

   Answer – B. 485.54
   Explanation :
   434.43 + 43.34 + 3.44 + 4 + 0.33 = 485.54
4. (755% of 523) ÷ 777 = ?
   A. 5
   B. 6
   C. 8
   D. 7
   E. None of these
   
   Answer & Explanation

   Answer – A. 5
   Explanation :
   (755/100 * 523) = 3948.65
   3948.65 ÷ 777 = 5
5. 156 + 16 * 1.5 – 21 = ?
   A. 126
   B. 149
   C. 141
   D. 159
   E. None of these
   
   Answer & Explanation

   Answer – D. 159
   Explanation :
   16 * 1.5 = 24
   156 + 24 – 21 = 159
6. 783.559 + 49.0937 * 31.679 – 58.591= ? 
   A. 1280
   B. 3280
   C. 2280
   D. 1880
   E. None of the above
   
   Answer & Explanation

   Answer –C. 2280
   Explanation :
   49.0937 * 31.679 = 1555
   783 + 1555 – 58 = 2280(approx)
7. (√7921 – √2070.25) * (1/4) = ?
   A. 15
   B. 16
   C. 17
   D. 19
   E. 11
   
   Answer & Explanation

   Answer – E. 11
   Explanation :
   √7921 = 89 ; √2070.25 = 45.5 = 43.5/4 = 10.8 ≈ 11
8. (12.25)2 – √625 = ?
   A. 145.1625
   B. 125.0625
   C. 155.1625
   D. 165.0625
   E. None of these
   
   Answer & Explanation

   Answer B. 125.0625
   Explanation :
   (12.25)2 = 150.0625
   150.0625 – 25 = 125.0625
9. 8451 + 793 + 620 – ? = 6065 + 713
   A. 3486
   B. 3586
   C. 3286
   D. 3186
   E. None of these
   
   Answer & Explanation

   Answer – E. None of these
   Explanation :
   8451 + 793 + 620 = 9864 ;  6065 + 713 = 6778 => 9864 – 6778 = 3086
10. 22240 ÷ √? = 34 * 12
    A. 3065
    B. 3085
    C. 3025
    D. 3075
    E. None of these
    
    Answer & Explanation

    Answer – C. 3025
    Explanation :
    34 * 12 = 408
    

    √? = 22240/408 = 54.5 = 55 => x = 3025

Simplification 2

Hello Aspirants.

Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Simplification. We have included Some questions based on latest pattern !!!

1. 69 ÷ 3 * 0.85+ 14.5 – 3 = ?
   A. 36.15
   B. 32.15
   C. 33.05
   D. 32.05
   E. None of these
   
   Answer & Explanation

   Answer – E. None of these
   Explanation :
   69 ÷ 3 * 0.85 = 23 * 0.85 = 19.55
   19.55 + 14.5 – 3 = 31.05
2. 4.5 + 23.50 + 14.58 – 17.68 * 0.5 = ?
   A. 23.74
   B. 33.74
   C. 34.74
   D. 36.74
   E. None of these
   
   Answer & Explanation

   Answer – B. 33.74
   Explanation :
   17.68 * 0.5 = 8.84
   42.58 – 8.84 = 33.74
3. 23.56 + 4142.25 + 134.44 = ?
   A. 4010.05
   B. 4000.15
   C. 4100.25
   D. 4300.25
   E. None of these
   
   Answer & Explanation

   Answer – D. 4300.25
   Explanation :
   23.56 + 4142.25 + 134.44 = 4300.25
4. (√ 7744 * 66 ) ÷ (203 + 149)= ?
   A. 12.5
   B. 14.5
   C. 13.5
   D. 18.5
   E. 16.5
   
   Answer & Explanation

   Answer – E. 16.5
   Explanation :
   (√ 7744 * 66 )= 5808; 5808/352 = 16.5
5. 5/9 of 504 + 3/8 of 640 =  ?
   A. 620
   B. 550
   C. 520
   D. 480
   E. 460
   
   Answer & Explanation

   Answer – C. 520
   Explanation :
   5/9 of 504 = 280 ; 3/8 of 640 = 240 => 280 + 240 = 520
6. (786*74) ÷ x = 1211.75
   A. 62
   B. 55
   C. 52
   D. 48
   E. 46
   
   Answer & Explanation

   Answer – D. 48
   Explanation :
   (786*74) ÷ x = 1211.75
   x = 48
7. 18² + √? = 350
   A. 676
   B. 576
   C. 26
   D. 28
   E. None of these
   
   Answer & Explanation

   Answer – A. 676
   Explanation :
   18² + √? = 350
   √? = 350 – 324 = 26
   ? = 676
8. 140% of 500 + 24% of 750 = ?
   A. 550
   B. 660
   C. 770
   D. 880
   E. None of these
   
   Answer & Explanation

   Answer – D. 880
   Explanation :
   700 + 180 = 880
9. 4900 ÷ 28 * 444 ÷ 12 = ?
   A. 6312
   B. 6223
   C. 6475
   D. 6217
   E. 6421
   
   Answer & Explanation

   Answer – C. 6475
   Explanation :
   4900 ÷ 28 = 175
   444 ÷ 12 = 37
   175 * 37 = 6475
10. 1221 + 1117 = x% of 6680 
    A. 26
    B. 32
    C. 43
    D. 17
    E. 35
    
    Answer & Explanation

    Answer – E. 35
    Explanation :
    2338/66.8 = 35