Arithmetic Expression

Question 1 )          Simplify 63 + 33 


  A )  35      B) 36          c)  63             D) 6 4

Question 2  )    Simplify 43 + 43 + 43 + 43 + 32 + 32 + 32 

 (A) 44 + 33   (B)42 + 36      (C)43(32)     (D) 26 + 3 6



Question 3)  Simplify    48 – 84
                                          -----------------
                                                   24 + 4 2

(              A)   1/25           (B) 2 2 (7)      (C)  27(15)





Explanation Question 1 )  Begin by breaking 6 down into its prime factors.
63 + 33 =
(2 x 3)3 + 33 =
Now each term contains (33). Factor it out.
(23)(33) + 33 =
33(23 + 1) =
33(9) =
33(32) = 35.

Explanation Question 2)   Factor 43 out of the first four terms and factor 32 out of the last three terms.
43 + 43 + 43 + 43 + 32 + 32 + 32 =
43(1 + 1 + 1 + 1) + 32(1 + 1 + 1) =
43(4) + 32(3) =
44 + 33



Algebra, competitive exams, Maths Olympiad for kids, mensuration, Maths Crossword, Label : Maths for Kids, Maths Question, Mean Median Mode and Range, Maths For Age 7 Plus, Arithmetic Expression

Comments

Post a Comment

Popular posts from this blog

LCM and HCF problem

Image
Question : There are three numbers such that the product of the first two numbers is 91                  and that of the last two numbers is 221. Find all three numbes and their sum Answer : Suppose numbers are A , B AND C. Also given   A x B  = 91 and B x C = 221 Since the numbers are prime number, they contain only 1 as the common factor. Also, above two products have B in common. So, B = H.C.F. of ( 91 and 221 ) = 13; A  = 91/13 = 7;  C  = 221/13 = 17. Required sum = (7 + 13 + 21 ) = 41. ================================================================= Question : The ratio of two numbers is 3 : 4. The L.C.M. of two numbers is 48.                   Find sum of the number Solution : Let the numbers be 3x and 4x. Then, their L.C.M. = 12x. So, 12x = 48 or x = 4 The numbers are 12 and 16. Hence, required sum = (12 + 16) = 28. ================================================================ Important points regarding LCM and HCF m
Read more

Maths Olympiad : Puzzles

Image
Question : Albert and Bernard just become friends with Cheryl , and they want to know her birthday is .Cheryl gives them a lsit of 10 possible dates May 15                       May 16                        May 19 June 17                       June 18 July 14                        July 16 August 14                   August 15                  August 17 Cheryl then tells Albert and Bernard separately the month and day of her Birthday respectively Albert : I do not know when Cheryl's birthday is , but I know that Bernard does not know too. Bernard : At first I do not know when Cheryl's birthday is , But I know now. Albert : Then I also know when Cheryl's birthday is So when is Cheryl's birthday is Answer : July 16 Solution :   From first statement of Albert is is clear that birthday is in either July or August months   From Bernard statement it is clear that day is not 14, so left out options are July 16 , August 15 and August 17 Now as Albert
Read more

Maths Puzzle - Series and pattern

Image
Fill in the blanks 1) 2, 5 , 26 , 677 , ............. 2) 3 , 7 , 14 , 32 , 58 ,..................... 3) 7 , 9 , 12 , 14 , 17 , 19 , ................... 4 ) 1 , 0, 5 , 8 , 17 , 24 ,37 ...................... 5) 210 , 195 , 175 , 150 , 120 .................. 6 ) 3 , 7 , 13 , 21 , 31 .................. 7 ) 10 . 20 , 10 , 9 , 21 , 11 , 8, 22 , 12 ................. 8 ) 20 , 32 , 45 , 59 , 74  , ...................... 9 ) 17 , 14 , 15 , 12 , 13 , 10 ............... 10 ) 2 ,10 , 30 , 68 ..................... 11) B2 , E5 , I9 , N14 , ...................... 12 ) aab__ab__cabcca__bcab__c 13 ) gfe__ig__eii__fei__gf__ii 14)ab__bcbca__ __ c __ bab 15) A , CD , GHI , ___________ , UVWXY Label : Maths for Kids , Maths Puzzle , Brain Tester ,  Maths Question , series and pattern, Maths Problems , Maths worksheet , LCM HCF , Algebra, Bank PO exam, SSC Exam , no pattern Mental Maths , Maths worksheet, competitive exam questions , reasoning question. 
Read more