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Exam
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Q. The multiplication of three consecutive number is 2730 than the sum of the three no. is
Option
a) 39
b) 42
c) 30
d) None of these
Read Solution (Total 11)
-
- factors of 2730 = 2 x 5 x 3 x 13 x 7
= 13 x 7 x 2 x 5 x 3
= 13 x 14 x 15
so numbers are = 13, 14 ,15
addition = 13 + 14 + 15
=42 ans - 12 years agoHelpfull: Yes(35) No(0)
- b)42,
(x-1)*x*(x+1)=2730
=>x=14
=>numbers are 13,14,15
their sum is 42 - 12 years agoHelpfull: Yes(12) No(7)
- if 3 numbers are consequtive then the multiplication will be nearest to their average cube ie(14*14*14=2744), nearest cube.
hence numbers are 13,14,15.. - 12 years agoHelpfull: Yes(9) No(1)
- lets say the numbers are x,(x+1),(x+2).then x*(x+1*(x+2)=2730.
sum of these 3 numbers => 3x+3.
by trail & error method option 1)3x+3=39 =>x=12 but 12*13*14 is not equal to 2730
if we take 3x+3= 42 =>x=13 then 13*14*15=2730.
So Ans is b)42 - 11 years agoHelpfull: Yes(3) No(3)
- LCM of 2730
You will find the factors.
Now Take the highest number make it into Sequence Like as per consecutive numbers
In this case Factors are 2 3 5 7 13
Now if we take
7 * 2 = 14 (i.e. 13+1)
Again
5 * 3 = 15 (i.e. 13+2)
therefore, 13 14 15 are the numbers
For cross verification you can multiply them.
Therefore 13+14+15 = 42. Is the Answer - 8 years agoHelpfull: Yes(1) No(0)
- answer is 42
- 9 years agoHelpfull: Yes(0) No(1)
- take no. as (n-1), n, (n+1)
product =n(n-1)(n+1)= n^3 -1
n^3 -1= 2730
solving we get n as 14, -7+12i, -7-12i
sum = 0 - 9 years agoHelpfull: Yes(0) No(0)
- factors of 2730 are - 2*5*3*7*13 = 2730 now they are asking consecutive no. you can see the pattern like 13,7*2=14 and 5*3 = 15 so when we add we get 13+14+15 = 42
- 8 years agoHelpfull: Yes(0) No(0)
- consecutive no's are 13,14,15
13*14*15=2730
sum=13+14+15=42 - 8 years agoHelpfull: Yes(0) No(0)
- factor of 2730=2*5*3*13*7
13*14*15
sum of these no =42 - 8 years agoHelpfull: Yes(0) No(0)
- we need to check from 10x11x12 ....... so we arrive at 13x14x15=2730
so 13+14+15=42
so ANS: b) 42 - 6 years agoHelpfull: Yes(0) No(0)
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