Average short tricks with examples:
Hello friends, Mathsmell (maths tricks in hindi) me aapka swagat hai. average short tricks in hindi maths ki most important topics hai competitive exams ke liye. Previous post me humne jana ki average kya hai in hindi.
Aaj hum aapke sath share karenge average ke kuch important shortcuts method tricks hindi me . jiske help se aap asani se average related maths questions ki answer de sakhte hai.
Dosto mathematics competitive exams ke liye bahut he important topics hai. lekin competitive exams me maths questions solutions karne ke liye aapko simple maths tricks ki help lena hoga, quicky exams me time bahut he kam hote hai aur apko kam samai me maximum questions ki solution karna hota hai.
Isliye dosto iss post me maine simple average maths tricks ki bare me apko bata rahahu.Diye gaye simple maths tricks ko aap asani se yaad rakh sakte hain. iss post me sabhi average formula examples ki sath diye gaye hai.
Average = Total data / no. of data
Hello friends, Mathsmell (maths tricks in hindi) me aapka swagat hai. average short tricks in hindi maths ki most important topics hai competitive exams ke liye. Previous post me humne jana ki average kya hai in hindi.
Aaj hum aapke sath share karenge average ke kuch important shortcuts method tricks hindi me . jiske help se aap asani se average related maths questions ki answer de sakhte hai.
Dosto mathematics competitive exams ke liye bahut he important topics hai. lekin competitive exams me maths questions solutions karne ke liye aapko simple maths tricks ki help lena hoga, quicky exams me time bahut he kam hote hai aur apko kam samai me maximum questions ki solution karna hota hai.
Isliye dosto iss post me maine simple average maths tricks ki bare me apko bata rahahu.Diye gaye simple maths tricks ko aap asani se yaad rakh sakte hain. iss post me sabhi average formula examples ki sath diye gaye hai.
Average maths short tricks with examples in hindi:
Hum sabhi ko pata hai average maths tricks competitive exams ke liye kitne important hain. Average maths formula janne se phele apko janna chayiye ki average kya hai in hindi.niche diye gaye tricks ki help se aap kisi bhi average questions ki solutions kar payenge.Average = Total data / no. of data
Tricks 1.
Average of first n natural numbers = (n + 1) /2.
Ex:- What will be the average of numbers from 1 to 41 ?
Soln. Here n = 41
Therefore, Average = (41 + 1)/2 = 21.
Tricks 2.
Average of squares of first n natural numbers = (n + 1)(2n + 1) / 6.
Example:
Tricks 3.
Average of cubes of consecutive n natural numbers = n(n + 1)^2 / 4.Tricks 4.
Average of first n even natural numbers = n + 1.Tricks 5.
Average of consecutive n even natural numbers = n/2 + 1.Tricks 6.
Average of first n odd numbers = n.Tricks 7.
Average of consecutive n odd natural numbers = (n + 1) / 2.
Tricks 8:
Agar ek aadmi goes A to B at X km/hr and B se A returns Y km/hr me aate hai, tube Average speed hote hai [2XY/ X + Y] km./ hr.
Ex:-1: A man goes A to B at 10 km./ hr. and from B to A at 6 km./hr. His average speed for the whole journey in km./hr. is
Soln: Here X = 10 km./hr. and Y = 6 km.hr. Then
Average speed = 2XY/ X + Y km./hr.
= 2 x 10 x 6 / 10 + 6 km./hr.
= 120/ 16 =7.5 km./hr.
Ex:-2: A man goes from A to B with a speed of 6 km./hr. and comes back from B to A with 3 km./hr. find the average speed.
Soln: Here X = 6 km./hr. and Y = 3 km./hr. Then
Average speed = 2 x 6 x 3 / 6+3 km./hr.
= 36/ 9 km./hr.
= 4 km./hr. ans.
Ex:-1: What will be the average of 5 consecutive odd numbers starting from 3.
Soln: We know that 5 consecutive odd numbers starting from 3 are 3, 5, 7, 9, 11.
Average no. = middle number
= 7
Ex:-2: What will be the average of 7 consecutive even numbers starting from 2.
Soln: Here 7 consecutive even numbers starting from 2 are 2, 4, 6, 8, 10, 12, 14.
Here middle number = 8. therefore average = 8.
Ex:-1: A man goes A to B at 10 km./ hr. and from B to A at 6 km./hr. His average speed for the whole journey in km./hr. is
Soln: Here X = 10 km./hr. and Y = 6 km.hr. Then
Average speed = 2XY/ X + Y km./hr.
= 2 x 10 x 6 / 10 + 6 km./hr.
= 120/ 16 =7.5 km./hr.
Ex:-2: A man goes from A to B with a speed of 6 km./hr. and comes back from B to A with 3 km./hr. find the average speed.
Soln: Here X = 6 km./hr. and Y = 3 km./hr. Then
Average speed = 2 x 6 x 3 / 6+3 km./hr.
= 36/ 9 km./hr.
= 4 km./hr. ans.
Tricks 9:
5, 7 ,9, 11,... consecutive even or odd number ki average hamesa middle number hota hai.Ex:-1: What will be the average of 5 consecutive odd numbers starting from 3.
Soln: We know that 5 consecutive odd numbers starting from 3 are 3, 5, 7, 9, 11.
Average no. = middle number
= 7
Ex:-2: What will be the average of 7 consecutive even numbers starting from 2.
Soln: Here 7 consecutive even numbers starting from 2 are 2, 4, 6, 8, 10, 12, 14.
Here middle number = 8. therefore average = 8.
Trick 10:
Agar ek Batsman Xth innings me 'a' run kiya and uske average runs Y increased hua, tube Xth innings ke baad average runs hoga = a - XY + Y.
Ex:-1:A cricketer scored 85 runs in the 17th innings and there by increased the average run of the previous 16th inings by 3.The average run of the 17th innigs was
Soln: here a = 85, X = 17 and Y = 3. Then
Average runs = 85 - 17 x 3 + 3
= 85 - 51 + 3 = 37 ans.
Ex:-2: A Batsman has certain average of runs from 11 innings. In the 12th innings he makes a score of 90 runs, there by increasing his average by 5. His average after the 12th innings is
Soln: Here a 90 , X = 12 and Y = 5. Then
Average runs = 90 - 12 x 5 + 5
= 90 - 60 + 5
= 35 ans.
Ex:-1:A cricketer scored 85 runs in the 17th innings and there by increased the average run of the previous 16th inings by 3.The average run of the 17th innigs was
Soln: here a = 85, X = 17 and Y = 3. Then
Average runs = 85 - 17 x 3 + 3
= 85 - 51 + 3 = 37 ans.
Ex:-2: A Batsman has certain average of runs from 11 innings. In the 12th innings he makes a score of 90 runs, there by increasing his average by 5. His average after the 12th innings is
Soln: Here a 90 , X = 12 and Y = 5. Then
Average runs = 90 - 12 x 5 + 5
= 90 - 60 + 5
= 35 ans.
Tricks 11:
Agar koi insan X km/h, Y km/h and Z km/h jate hai to average speed hogi 3XYZ/(XY+YZ+ZX) km/ h. hoga.Tricks 12:
Agar X boy ki average age Y years hai aur agar koi new boy ki age adding kare to average age Z years hote hai. Tube new boy ki age nikal ne ki tricks = Z+X(Z-Y) year.
I hope average related to shortcut tricks in hindi or average ki short tricks in hindi post apko acha laga hoga to jarur average maths tricks in hindi for fast calculation ko apne dosto ki sath share kare.
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