mathmath333
  • mathmath333
Reasoning question
Mathematics
jamiebookeater
  • jamiebookeater
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{Fill in the blanks }\hspace{.33em}\\~\\ & 80:90::120:?\hspace{.33em}\\~\\ & a.)\ 143 \hspace{.33em}\\~\\ & b.)\ 156 \hspace{.33em}\\~\\ & c.)\ 169 \hspace{.33em}\\~\\ & d.)\ 136 \hspace{.33em}\\~\\ \end{align}}\)
ParthKohli
  • ParthKohli
Bhai are you sure you're in 11th grade?
mathmath333
  • mathmath333
??

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imqwerty
  • imqwerty
Mathmath u kiddin rn
ParthKohli
  • ParthKohli
\[\frac{80}{90} = \frac{120}{?}\]
mathmath333
  • mathmath333
is this 10th grade question
ParthKohli
  • ParthKohli
I normally encountered these in 6th/7th grade.
mathmath333
  • mathmath333
i should mention that this reasoning type question doesn't necessarily involves math
ParthKohli
  • ParthKohli
Yeah, I mean sure, you don't have to make an equation and solve it. This is as verbal as I can get about the question... 80:90 is the same as 8:9. Now 15*8 = 120 so the question mark should be replaced by 15*9.
welshfella
  • welshfella
i've never see the symbol :: before?
mathmath333
  • mathmath333
but now u have seen
ParthKohli
  • ParthKohli
Uh, I read it as "equivalent to" or "corresponds to" or "same as" or whatever.
welshfella
  • welshfella
yes lol - but what does it mean?
ParthKohli
  • ParthKohli
Are you sure the options are correct, mathmath?
mathmath333
  • mathmath333
it is used in reasoning /IQ type questions , where u have to find the pattern it may be more complex
mathmath333
  • mathmath333
and \(80/90=120/x\), \(x= 135\) is not in options
mathmath333
  • mathmath333
by doing some operation on 80, it is converted to 90 by applying the same operation on 120 u have to find the resulting number
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{Fill in the blanks }\hspace{.33em}\\~\\ & 80:90::120:?\hspace{.33em}\\~\\ & a.)\ 143 \hspace{.33em}\\~\\ & b.)\ 156 \hspace{.33em}\\~\\ & c.)\ 169 \hspace{.33em}\\~\\ & d.)\ 181 \hspace{.33em}\\~\\ \end{align}}\) last option correct
mathmath333
  • mathmath333
*corrected
ganeshie8
  • ganeshie8
interesting, so this is not a simple proportion
mathmath333
  • mathmath333
wait got one more correction
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{Fill in the blanks }\hspace{.33em}\\~\\ & 80:99::120:?\hspace{.33em}\\~\\ & a.)\ 143 \hspace{.33em}\\~\\ & b.)\ 156 \hspace{.33em}\\~\\ & c.)\ 169 \hspace{.33em}\\~\\ & d.)\ 181 \hspace{.33em}\\~\\ \end{align}}\)
mathmath333
  • mathmath333
this is full correct
mathstudent55
  • mathstudent55
8 * 10 9 * 11 12 * 10 13 * 11 = 143 143 = 11 * 13 156 = 12 * 13 169 = 13 * 13 181 = prime
mathstudent55
  • mathstudent55
143
mathmath333
  • mathmath333
181 is the answer, wow
mathstudent55
  • mathstudent55
How?
mathstudent55
  • mathstudent55
I thought the answer was 143.
mathmath333
  • mathmath333
because all the others are composite
ganeshie8
  • ganeshie8
we're not doing "odd man out" here ;p
mathmath333
  • mathmath333
i mean by pattern he got 143 = 11 * 13 156 = 12 * 13 169 = 13 * 13 except 181
mathstudent55
  • mathstudent55
Since 80, 90, and 120 are not prime, why would we think the last number should be prime?
mathmath333
  • mathmath333
oh i see
mathstudent55
  • mathstudent55
Then I was able to fit 143 as a continuation of the pattern, but not 181.
mathstudent55
  • mathstudent55
\(\large 80:99 :: 120:143\) \(\large 8 \times 10:9 \times 11 :: 12 \times 10: 13 \times 11\) \(\large 80:99 :: 120: 143\)
amilapsn
  • amilapsn
I think we can propose legit reasons for each other options to be the answers although 143 is more apparent one...
amilapsn
  • amilapsn
For example finding a \(k\) and \(l \) such that \[80k+l=90\\120k+l=any \ option\ \]

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