Maths Class Note

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                                    SUPPER 20-20 CLASSES

CLASS -  1 :- 

Topic :1

             * Divided Role :-

                             1 . Divided by 2 :- Last digit of given number is 2,4,6,8 and 0 then given number is divided by 2.

Example :- 2552,60134,2686,4008,1540 etc.

                            2. Divided by 3 :- Sum of all digit is given number is divided by 3 . Then the given number is divided by 3.

Example :-  3543, 9651,8856 etc.

                            3. Divided by 4 :- Last second digit of given number is divide by 4. Then the given number is divided by 4. 

 Example :- 25436,4504,56816, etc.

                            4. Divided by 5:-  Last digit of given number is 0 and 5 . Then  the given number is divided by 5.

Example :- 26530,2565,451120, 6695 etc.

                            5. Divided by 6 :-  If the given number is follow the divided properties of 3 and 2 . Then the given number is divided by 6. 

 Example :- 2532,5646,9852 etc.

                           6. Divided by 7:- Divided rule of 7 is so complicated then directly divided by 7.

                           7. Divided by 8 :- Last three digit of given number is divided by 8 . Then the given number is divided by 8. 

 Example :- 645816,98496,50016 etc.

                           8. Divided by 9 :- Sum of all digit is given number is divided by 9. Then the given number is divided by 9.

 Example :- 63864,45252,8001 etc.

                           9. Divided by 11 :- Difference of all odd place number sum and even place number sum in the given number is divided by 11 or difference is 0 . Then the given number is divided by 11.

Example :- 1925,652311,5940 etc.

        * Find the fist digit of given factor :-

             1. CASE 

                     1.  2¹= 2

                      2. 2²= 4 

                      3. 2³= 8

                     4. 2⁴= 16

                     5.  2⁵= 32

                    6. 2⁶= 64

                    7. 2⁷= 128

                    8. 2⁸= 256

We find out the given above example is power of 2 is increase but the fist digit number 2,4,8,6 is repeated .

 

        2. CASE :-

                     1.  3¹= 3

                      2. 3²= 9 

                      3. 3³= 27

                     4. 3⁴= 81

                     5. 3⁵= 243

                    6. 3⁶= 729

                    7. 3⁷= 2187

                    8. 3⁸=  6561      

We find out the given above example is power of 3 is increase but the fist digit number 3,9,7,1 is repeated .

Note :- In the same case of 4,5,6,7,8 and 9 . Then divided the power 4 and find the remender

 

                            

 Question 1. Find the fist digit of given number   2546⁸⁵+ 3654⁶³.

A) 0

B) 2

C) 8

D) 5 

Question 2. Find the fist digit of given number   4578⁵⁵⁴+ 5554⁶⁵³- 2646⁵²+ 8654³⁸.

A) 5

B) 6 

C) 8

D) 3

Question 3. Find the fist digit of given number   (254684^5845 65)*(26⁸⁵⁶³)

A) 5 

B) 8

C) 6

D) 4

Question 4.  Find the fist digit of given number   (254686^545545 6235)*(21212156^855456563)

A) 6

B) 4

C) 3

D) 2

Question 5.  Find the fist digit of given number   (22323135^58445 54)*(25315⁸⁴⁵⁶³³)

A) 3

B) 2

C) 5

D) 6

Question 6. 254876  is divided by.

A) 4

B) 5

C) 3

D) 9

Question 7. 117649 is divided by.

A) 6

B) 7

C) 3

D) 9

Question 8. 45768932 is divided by.

A) 6

B) 13

C) 7

D) 11

Question 9.  (3135^5845 54)*(2315⁸⁴⁵⁶³³) is divided by .

A) 3

B) 5

C) 6

D) 4

Question 10. (286^545 625)*(25^85456563) is divided by .

A) 6

B) 5

C) 11

D) 9

Solution 1.  A

Solution 2.  C

Solution 3. D

 

Solution 4.  A

Solution 5.  C

Solution 6.  A

 

Solution 7. B

Solution 8. D

Solution 9. B

Solution 10. A

Time and distance Trick questions