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Banking Exam Preparation – “MULTIPLICATION” Part I

Banking Exam Preparation – “MULTIPLICATION” Part I

 bank exam

Remember some important formula –

  1. (a + b)2  = a2 + 2ab + b2
  2. (a + b)2  = (a – b)2 + 4ab
  3. (a – b)2 = a2 – 2ab + b2
  4. (a – b)2 = (a + b)2  – 4ab
  5. a2 –b2 = (a – b)(a + b)
  6. (a + b)3  = a3 + b3 + 3ab(a + b) = a3 + b3 + 3a2b + 3ab2
  7. (a – b)3 = a3 – b3 – 3ab(a – b) = a3 –  b3 – 3a2b + 3ab2
  8. a3 + b3  = (a + b)3 – 3ab(a + b)
  9. a3 + b3  = (a + b)( a2 – ab + b2  )
  10. a3 – b3 = (a – b)3 + 3ab(a – b)
  11. a3 – b3 = (a – b)(a2 + ab + b2)
  12. am x an = am+n
  13. am / an = am – n 
  14. (a/b)(m/n) =(b/a)-(m/n)
  15. am / b-n = am x bn

Banking Exam Preparation – “MULTIPLICATION” Part I

 

Multiply any two digit numbers

AB x CD = 100(A x C) + 10{(A x D) + (B x C)} + B x D

E.g. 43 x 58 = ?

43 x 58 = 100(4 x 5) + 10{(4 x 8) + (3 x 5)} + 3 x 8

= 100 x 20 + 10{32 + 15) +24

= 2000 + 10{47} + 24

= 2000 + 470 + 24

= 2470 + 24

= 2494

You can get answer in less than 8 seconds by practice more and more.

Banking Exam Preparation – “MULTIPLICATION” Part I

 

Two numbers that differ by 1

E.g.         45 x 44 = ?

                Square larger number and less large number

452 = 2025

2025 – 45 = 1980

E.g.         45 x 46 = ?

                Square smaller number and add smaller number

452 = 2025

2025 + 45 = 2070

 

Banking Exam Preparation – “MULTIPLICATION” Part I

 

Two numbers that differ by 2-   {(a + b)/2}2 – 1

E.g.         27 x 29 = ?

27 + 29 = 56

56/2 =28

282 = (30 – 2)2 = 302 – 2 x 30 x 2 + 2= 900 – 120 + 4 = 784

784 – 1 = 783

You can get answer in less than 15 seconds by practice more and more.

Banking Exam Preparation – “MULTIPLICATION” Part I

Two numbers that differ by 3-   (Smaller number + 1)2 + (Smaller number – 1)

E.g.         26 x 29 = ?

(26 + 1)2 + (26 – 1)

272 + 25

729 +25 = 754

Two numbers that differ by 4- {(a + b)/2}2 – 4

E.g.         62 x 66 = ?

62 + 66 = 128

128/2 = 64

642 = (65 – 1)2 = 652 – 2 x 65 x 1 + 12 = 4225 – 130 + 1 = 4096

4096 – 4 = 4092

Two numbers that differ by 6- {(a + b)/2}2 – 9

E.g.         42 x 48 = ?

42 + 48 = 90

90/2 = 45

452 = 2025

2025 – 9 = 2016

Two numbers that differ by an Even number where a < b and C = (b – a)/2

{(a + b)/2}2 – c2

E.g.         51 x 59 = ?

51 + 59 = 110

110/2 = 55

552 = 3025

59 – 51 = 8

8/2 = 4

42 = 16

3025 – 16 = 3009

Two numbers that differ by an Odd number where a < b and C = [1 + (b – a)]/2

(a + c)2 – [b + (c – 1)2]

E.g.         51 x 58 = ?

C = 58 – 51 + 1/ 2 = 8/2 = 4

51 + 4 = 55

552 = 3025

58 + 32 = 67

3025 – 67 = 2958

Banking Exam Preparation – “MULTIPLICATION” Part I

bank exam - Copy

You can also find

Banking Exam Preparation – “Square and Square Root”

BANKING EXAM PREPARATION – CUBE AND CUBE ROOT

Banking Exam Preparation – ADDITION and SUBTRACTION Part I

Banking Exam Preparation – ADDITION and SUBTRACTION Part II

Banking Exam Preparation – ADDITION and SUBTRACTION Part III

Banking Exam Preparation – “MULTIPLICATION” Part I

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