Arithmetic1

In all competitive exams the problems on clocks  are  asking. Analog clock is considered as circle. The total angle formed by a circle is 360 0 Now we need to find out the angle between the hour  and minute hand. Now we need to calculate the angle of hour  and minute hand by  considering the reference position as number 12. Angle of  minute and hour hand is calculated from number 12 in clock. Angle formed by a circular clock 360 0 Angle of minute and hour hand calculated from Number 12 Time taken by minute  hand for  one revolution 360 0 =60min                             Angle formed by minute hand in I min 1min =6 0 Time taken by hour hand in one revolution 360 0 = 12 hours Angle formed by hour hand in 1 hour 30 0 = 1 hour                           Angle between hour and minute hand at 7 45 Convert 7Hr45Min into hours =7+(45/60) =7+(3/4) =(28+3)/4 =31/4Hrs Angle formed by hour hand 31/4  Hrs =(31/4)x30 0   =(31/2)x15 =

In all competitive exams the problems on clocks are  asking. Analog clock is considered as  circle. The total angle formed by a circle is 360 0 Now we need to find out the angle between the hour and minute hand. Now we need to calculate the angle of hour  and minute hand by  considering the reference position as number 12. Angle of  minute and hour hand is calculated from number 12 in clock. Angle formed by a circular clock 360 0 Angle of minute and hour hand calculated from Number 12 Time taken by minute  hand for  one revolution 360 0 =60min                             Angle formed by minute hand in I min 1min =6 0 Time taken by hour hand in one revolution 360 0 = 12 hours Angle formed by hour hand in 1 hour 30 0 = 1 hour                           Angle between hour and minute hand at 5 45 Convert 5Hr45Min into hours =5+(45/60) =5+(3/4) =(20+3)/4 =23/4Hrs

In all competitive exams the problems on clocks are asking. Analog clock is considered as circle. The total angle formed by a circle  is 360 0 Now we need to find out the angle between the hour and minute hand. Now we need to calculate the angle of hour  and minute hand by  considering the reference position as number 12. Angle of  minute and hour hand is calculated from  number 12 in clock. Angle formed by a circular clock 360 0 Angle of minute and hour hand calculated from Number 12 Time taken by minute  hand for  one revolution 360 0 =60min                             Angle formed by minute hand in I min 1min =6 0 Time taken by hour hand in one revolution 360 0 = 12 hours Angle formed by hour hand in 1 hour 30 0 = 1 hour                           Angle between hour and minute hand at 4 45 Convert 4Hr45Min into hours =4+(45/60) =4+(3/4) =(16+3)/4 =19/4Hrs

The example for consecutive even numbers is   2,4,6,8,10,. . . . The above consecutive even number series can  be written as         2,2+2,2+4,2+6,2+8,2+10, . . . . . In the above series if we replace 2  in every number by “x”. Then the above series can be rewritten as         X, X+2,X+4,X+6, X+8, X+10, X+12,. . . . . . . From the above series we can written as 2 consecutive even numbers = X, X+2 3 consecutive even numbers  =        X, X+2,X+4 4 consecutive even numbers =  X, X+2,X+4,X+6 5 consecutive even numbers =   X, X+2,X+4,X+6, X+8 Now we see the following problem The sum of three consecutive even numbers is 162. what are those numbers We can write three consecutive even number series as  3 consecutive even numbers =   X, X+2,X+4.    Sum of consecutive even numbers = X+ X+2+X+4                                                              162=X+X+X+2+4                                                              162= X+X+X+2+4                 

The example for consecutive even numbers is  2,4,6,8,10,. . . . The above consecutive even number series can be  written as         2,2+2,2+4,2+6,2+8,2+10, . . . . . In the above series if we replace 2 in every number by “x”. Then the above series can be rewritten as         X, X+2,X+4,X+6, X+8, X+10, X+12,. . . . . . . From the above series we can written as 2 consecutive even  numbers = X, X+2 3 consecutive even numbers  =        X, X+2,X+4 4 consecutive even numbers =  X, X+2,X+4,X+6 5 consecutive even numbers =   X, X+2,X+4,X+6, X+8 Now we see the following problem The sum of three consecutive even numbers is 66. what are those numbers We can write three consecutive even number series as  3 consecutive even numbers =   X, X+2,X+4.    Sum of consecutive even numbers = X+ X+2+X+4                                                              66=X+X+X+2+4                                                              66= X+X+X+2+4                     

The example for consecutive even numbers is 2,4,6,8,10,. . . . The above consecutive even number  series can be written as         2,2+2,2+4,2+6,2+8,2+10, . . . . . In the above series if we replace 2 in every number by “x”. Then the above series can be rewritten as         X, X+2,X+4,X+6, X+8, X+10, X+12,. . . . . . . From the above series we can written as 2 consecutive even numbers = X, X+2 3 consecutive even numbers  =        X, X+2,X+4 4 consecutive even numbers =  X, X+2,X+4,X+6 5 consecutive even numbers =   X, X+2,X+4,X+6, X+8 Now we see the following problem The sum of three consecutive even numbers is 30. what are those numbers We can write three consecutive even number series as  3 consecutive even numbers =   X, X+2,X+4.    Sum of consecutive even numbers = X+ X+2+X+4                                                              30=X+X+X+2+4                                                              30= X+X+X+2+4                       

The example for consecutive even numbers is  2,4,6,8,10,. . . . The above consecutive even number series can be written as         2,2+2,2+4,2+6,2+8,2+10, . . . . . In the above series if we replace 2 in every number by “x”. Then the above series can be rewritten as         X, X+2,X+4,X+6, X+8, X+10, X+12,. . . . . . . From the above series we can written as 2 consecutive even numbers = X, X+2 3 consecutive even numbers  =        X, X+2,X+4 4 consecutive even numbers =  X, X+2,X+4,X+6 5 consecutive even numbers =   X, X+2,X+4,X+6, X+8 Now we see the following problem The sum of three consecutive even numbers is 78. what are those numbers We can write three consecutive even number series as  3 consecutive even numbers =   X, X+2,X+4.    Sum of consecutive even numbers = X+ X+2+X+4                                                              78=X+X+X+2+4                                                              78= X+X+X+2+4                       

The example for consecutive  even numbers is 2,4,6,8,10,. . . . The above consecutive even number series can  be written as         2,2+2,2+4,2+6,2+8,2+10, . . . . . In the above series if we replace 2 in every number by “x”. Then the above series can be rewritten as         X, X+2,X+4,X+6, X+8, X+10, X+12,. . . . . . . From the above series we can written as 2 consecutive even numbers = X, X+2 3 consecutive even numbers  =        X, X+2,X+4 4 consecutive even numbers =  X, X+2,X+4,X+6 5 consecutive even numbers =   X, X+2,X+4,X+6, X+8 Now we see the following problem the sum of three consecutive even numbers is 90. what are those numbers We can write three consecutive even number series as  3 consecutive even numbers =   X, X+2,X+4.    Sum of consecutive even numbers = X+ X+2+X+4                                                               90=X+X+X+2+4                                                              90= X+X+X+2+4               

The example for consecutive  even numbers is 2,4,6,8,10,. . . . The above consecutive even number series can be written as         2,2+2,2+4,2+6,2+8,2+10, . . . . . In the above series if we replace 2 in every number  by “x”. Then the above series can be rewritten as         X, X+2,X+4,X+6, X+8, X+10, X+12,. . . . . . . From the above series we can written as 2 consecutive even numbers = X, X+2 3 consecutive even numbers  =        X, X+2,X+4 4 consecutive even numbers =  X, X+2,X+4,X+6 5 consecutive even numbers =   X, X+2,X+4,X+6, X+8 Now we see the following problem the sum of three consecutive even numbers is 96. what are those numbers We can write three consecutive even number series as  3 consecutive even numbers =   X, X+2,X+4.    Sum of consecutive even numbers = X+ X+2+X+4                                                               96=X+X+X+2+4                                                              96= X+X+X+2+4