By inserting parentheses, it is possible to give the expression 2*3 +

Question

By inserting parentheses, it is possible to give the expression 2*3 + 4*5 several values. How many different values can be obtained?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

stne · Answer

Following  BODMAS , Brackets always need to be solved first:

(i)   2(3 + 4*5 ) = 46

(ii)  (2*3 + 4)5 =50

(iii) 2 (3+4)5 = 70

(iv)  (2*3 +4*5)= 26

Ans C

MuditKapoor · Answer

i)  
  2(3+4∗5)=462(3+4∗5)=46

(ii)  
  (2∗3+4)5=50(2∗3+4)5=50

(iii) 
  2(3+4)5=702(3+4)5=70

(iv)  
  (2∗3+4∗5)=26

ShubhamKumar2967 · Answer

the question has not explicitly mentioned that we can ignore the value obtained from the original expression.

Krunaal · Answer

Whether you ignore or not, it shouldn't impact your answer:  2*3 + 4*5 and (2*3 + 4*5) will give you the same value, i.e. 26. And you have to find the no. of  different  values that can be obtained.

ShubhamKumar2967 · Answer

Hi, Krunal I think there has been a misunderstanding. 
Diff values using parentheses:
2*(3+4*5), 3*(2+4*5), 4*(5+2*3), 5(4+2*3), apart from this, there is an actual value (2*3+4*5)

Krunaal · Answer

(2*3 + 4*5) is also a part of  no. of different values using parenthesis

napolean92728 · Answer

I have a doubt can't we write it as 3(2 + 4*5), cause 2*3 is same as 3*2 ? Or is there any rule while approaching such questions.  Bunuel  can you pls clarify.

Thanks in advance.

Bunuel · Answer

You  can  put parentheses - but only to group the  given  terms.

Writing 3 * (2 + 4 * 5) is wrong because now you’re switching numbers - the original is 2 * 3 + 4 * 5.

Parentheses are for grouping - not for swapping numbers or changing their positions.

By inserting parentheses, it is possible to give the expression 2*3 +

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By inserting parentheses, it is possible to give the expression 2*3 +

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