BODMAS rule se bracket waale questions solve karna sikhiye

Hello friends !! Aaj hum aapko BODMAS rule se bracket waale questions ko solve karna sikhayenge. BODMAS rule kya hai ? aur BODMAS rule ka use karke simple questions ko kaise solve karte hai ? Ye sab hum aapko part-1 aur part-2 me sikha chuke hai. Agar aapne abhi tak read nahi kiya to humne iss article ke last me dono part ka link diya hai . Aap waha se read kar sakte hai.
Aaj hum aapke request par BODMAS rule part-3 lekar aaye hai. Iss part me hum aapko BODMAS rule ke use se kuch tough questions meas "kathin questions" ko solve karna sikhayenge. Abhi tak humne aapko kewal simple question ko solve karna sikhaya hai. Aapne part-2 me question ko dekha hoga to ye dhyaan diya hoga ki, wo sabhi questions me bracket ka use nahi tha. Means part-2 me sabhi questions without bracket waale the. Aaj hum aapko bracket waale question ko BODMAS rule ka use karke solve karna sikhayenge. Chaliye start karte hai.

हिन्दी में सीखिए -: BODMAS rule क्या है? इसका Full form, उदाहरण, Question और Solution

BODMAS rule se Bracket waale questions ko solve karna sikhiye

Bracket waale questions ko solve karne se pahle hume Bracket ke baare me kuch jaan lete hai.
 Bracket -:  Bracket ko hindi me kosthak (कोष्ठक) kahte hai. Kosthk ka use karke hum question ko sahi takrke se solve karte hai. Iss ko acche se samjne ke liye nichye diya huaa sentence ko pade.
Sentence-: "5 aur 4 ke yogphal me se 3 multiply kariye."
Uppar diye sentence ko hum without bracket iss prakar se likh lar solve kar sakte.
5+4×3 = 5+12 = 17 me agar hum witIsska use karke hum bade-bade questions ko solve karte hai. Mathematics me Bracket 4 types ke hote hai. Jo iss prakar se niche diya gaya hai:

S.N.	Bracket sign	Bracket name
1.	￣	Rekha kosthk (Vinculum)
2.	( )	Chhota kosthk (Parentheses/Round bracket)
3.	{ }	Majhla kosthk (Braces/Curly bracket)
4.	[ ]	Big bracket (Square bracket)

 Bracket ko solve karna : 

Jab kisi question me 1 se jaada bracket ho to bracket niche bataye order se solve karte hai:
Suppose kariye ki, question me sabhi 4 bracket diye ho to:
(1)."一" viniculum (rekha kosthk)-: Agar question me rekha kosthk diya ho to iss ko sabse pahle solve karte hai.
(2). "( )" parentheses / round bracket/ small bracket (chhota kosthk)-: rekha kosthk ke baad chhota kosthk ko solve karte hai.
(3). "{ }" braces/Curly bracket (majhla kosthk)-: Curly bracket ko rekha aur chhota bracket ke baad solve karte hai.
(4). "[ ]" square bracket (bada kosthk ) -: square bracket ko sabse last me solve karte hai.

(i) Agar kisi bracket ke pahle minus "-" ho to bracket hatane par bracket ke andar ke sabhi number ka sign change ho jate hai. Ye change kuch iss prakar se hota hai:
(a) Agar bracket ke andar "+" sign waale number ho to wo "-" me change ho jaate hai.
(b) Agar bracket ke andar  "-" sign waale number ho to wo "+" me change ho jaate hai.
Example: 6-(5-3) iss me chhota bracket "( )" se pahle "-" minus laga hai isliye jab hum bracket ko hatayenge tab bracket ke andar ke number +5 se -5 me aur -3 se 3 me change ho jaayega.
Jaise-: 6-(5-3) = 6-5+3 
(ii) Agar kisi bracket ke pahle "+" (plus) ho to bracket ko hatane par bracket ke andar ke sabhi number ke sign change nahi hote hai.
Example-: 5+{4-3} = 5+4-3

(iii) Agar kisi bracket ke pahle yaa bracket ke baad me koi number diya ho aur uss number aur bracket ke beech me koi sign nahi diya ho to waha par hum multiply "×" ka sign maante hai.
Example-: 4(6-3) = 4×(6-3)

(iv) Kisi bhi bracket ko hatane se pahle uss bracket ke andar likhe numbers ko solve kar lena chaahiye.
Example-: 4-5+(8×4-30) 
                 = 4-5+(32-30)
                 = 4-5+2

Bracket waale 10 questions with full solutions

Ab 10 bracket waale question ko BADMAS rule se solve karna sikhate hai. Hum niche 10 questions ko solve karenge. Aap unn question ko step-by-step samjhe aur khud se bhi practice kare.
                          
#Q-1. 14÷10-3
Solution-:             
            ⇒14÷10-3
            = 14÷7         【solve "line bracket"】
            = 2 Ans.

#Q-2. 5+(6-4)
Solution-:
⇒ 5+(6-4)
= 5+2                   【solve "small bracket"】
= 7 Ans.

#Q-3.  (-7)+{12÷(6-3)}
Solution-: 
⇒(-7)+{12÷(6-3)}【solve "small bracket"】
= (-7)+{12÷3}      【solve "curly bracket"】
= (-7)+4
= -3  Ans.
                                
#Q-4. 6-8(12-7+2)
Solution-: 
                             
⇒ 6-8×(12-7+2)
= 6-8×(12-9)        【solve "line bracket"】
= 6-8×3                【solve "small bracket"】
= 6-24
= -18   Ans.



#Q-5.  12-[2+{13-(14-6)}]
Solution-:
⇒ 12-[2+{13-(14-6)}]
= 12-[2+{13-8}   【solve "small bracket"】
= 12-[2+5]          【solve "Curly bracket"】
= 12-7                 【solve "square bracket"】
= 5 Ans.
                                       
#Q-6. (7-2)×[5-{6+8-3}]
Solution-:            
⇒(7-2)×[5-{6+8-3}]
= (7-2)×[5-{6+5}]    【solve "line bracket"】
= 5×[5-{6+5}]        【solve "small bracket】
= 5×[5-11]              【solve "curly bracket"】
=5×(-6)              【solve "square bracket"】
= -30   Ans.

#Q-7. (-2)+(-12)÷4-[(-3)×(-4)-{3-(1-2}]
Solution-:
⇒(-2)+(-12)÷4-[(-3)×(-4)-{3-(1-2)}]
= (-2)+(-3)-[12-{3-(-1)}]
                            【solve "small bracket"】
= (-5)-[12-{3+1}]
                            【solve "small bracket"】
= (-5)-[12-4] 【solve "curly bracket"】
= (-5)-8
= -13 Ans.
                   
#Q-8. (-3){(-8)+(-64)}÷(-4)-(2-4)(-3)
Solution-:
⇒(-3){(-8)+(-64)}÷(-4)-(2-4)(-3)
= (-3){(-8)+(-64)}÷(-4)-(-2)×(-3)
                            【solve "small bracket"】
=(-3){(-8)+(-64)}÷(-4)-6
                            【solve "multiplication"】
=(-3){-8-64}÷(-4)-6
                             【solve "small bracket"】
=(-3)×(-72)÷(-4)-6 【solve "curly bracket"】
=(-3)×(-18)-6
=54-6
=48 Ans.
                                     
#Q-9.  4-[4-{4-(4-4-4)}]
Solution-:         
⇒4-[4-{4-(4-4-4)}]
= 4-[4-{4-(4-0)}]      【solve "line bracket"】= 4-[4-{4-4}]          【solve "small bracket"】
= 4-[4-0]            【solve "square bracket"】
= 4-4
= 0 Ans.
                                    
#Q-10. 12-(-2)(3-2-1)÷2{2+(-2)×(-3)}
Solution-:  
                           
⇒12-(-2)(3-2-1)÷2{2+(-2)×(-3)}
= 12-(-2)(3-1)÷2{2+(-2)×(-3)}
                             【solve "line bracket"】
= 12+2×2÷2{2+6}
                             【solve "small bracket"】
= 12+2×2÷2×8     【solve "curly bracket"】
= 12+2×1×8                   【solve "division"】
= 12+16                【solve "multiplication"】
= 28  Ans.

Aaj ke iss BODMAS rule part-3 me kewal itana hi friends. I hope ki , aapko aaj ka ye part achhe se samjh aaya hoga.
Agar aapko koi problem ya doubt ho to comment karke jarur puche. Hum aapke problem ya doubt ko solve karne ki puri koshish karenge.
Agar aapko ye topic achhe se samjh aaya to please ek share jarur kare.

Hum aapko batade ki humne apne last article Happy Birthday Maths Tricks in Hindi me plan-1 me bataya tha ki, Sunday ko 8am - 9am (on india time) par hum Live Chat start karenge. To humne last Sunday Jun 03 aur June 10 se ye plan start kar diya hai. Next Live Chat Sunday June 17 ko bataye huye time par hoga. Aap ussi time par humse Live chat kar sakte hai.

• BODMAS rule part-1
• BODMAS rule ka use kark 10 question solve karna sikhiye.