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Mathematics 8 Online
OpenStudy (mathmath333):

Reasoning question

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} & \normalsize \text{Fill in the blanks }\hspace{.33em}\\~\\ & 80:90::120:?\hspace{.33em}\\~\\ & a.)\ 143 \hspace{.33em}\\~\\ & b.)\ 156 \hspace{.33em}\\~\\ & c.)\ 169 \hspace{.33em}\\~\\ & d.)\ 136 \hspace{.33em}\\~\\ \end{align}}\)

Parth (parthkohli):

Bhai are you sure you're in 11th grade?

OpenStudy (mathmath333):

??

imqwerty (imqwerty):

Mathmath u kiddin rn

Parth (parthkohli):

\[\frac{80}{90} = \frac{120}{?}\]

OpenStudy (mathmath333):

is this 10th grade question

Parth (parthkohli):

I normally encountered these in 6th/7th grade.

OpenStudy (mathmath333):

i should mention that this reasoning type question doesn't necessarily involves math

Parth (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.

OpenStudy (welshfella):

i've never see the symbol :: before?

OpenStudy (mathmath333):

but now u have seen

Parth (parthkohli):

Uh, I read it as "equivalent to" or "corresponds to" or "same as" or whatever.

OpenStudy (welshfella):

yes lol - but what does it mean?

Parth (parthkohli):

Are you sure the options are correct, mathmath?

OpenStudy (mathmath333):

it is used in reasoning /IQ type questions , where u have to find the pattern it may be more complex

OpenStudy (mathmath333):

and \(80/90=120/x\), \(x= 135\) is not in options

OpenStudy (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

OpenStudy (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

OpenStudy (mathmath333):

*corrected

ganeshie8 (ganeshie8):

interesting, so this is not a simple proportion

OpenStudy (mathmath333):

wait got one more correction

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} & \normalsize \text{Fill in the blanks }\hspace{.33em}\\~\\ & 80:99::120:?\hspace{.33em}\\~\\ & a.)\ 143 \hspace{.33em}\\~\\ & b.)\ 156 \hspace{.33em}\\~\\ & c.)\ 169 \hspace{.33em}\\~\\ & d.)\ 181 \hspace{.33em}\\~\\ \end{align}}\)

OpenStudy (mathmath333):

this is full correct

OpenStudy (mathstudent55):

8 * 10 9 * 11 12 * 10 13 * 11 = 143 143 = 11 * 13 156 = 12 * 13 169 = 13 * 13 181 = prime

OpenStudy (mathstudent55):

143

OpenStudy (mathmath333):

181 is the answer, wow

OpenStudy (mathstudent55):

How?

OpenStudy (mathstudent55):

I thought the answer was 143.

OpenStudy (mathmath333):

because all the others are composite

ganeshie8 (ganeshie8):

we're not doing "odd man out" here ;p

OpenStudy (mathmath333):

i mean by pattern he got 143 = 11 * 13 156 = 12 * 13 169 = 13 * 13 except 181

OpenStudy (mathstudent55):

Since 80, 90, and 120 are not prime, why would we think the last number should be prime?

OpenStudy (mathmath333):

oh i see

OpenStudy (mathstudent55):

Then I was able to fit 143 as a continuation of the pattern, but not 181.

OpenStudy (mathstudent55):

\(\large 80:99 :: 120:143\) \(\large 8 \times 10:9 \times 11 :: 12 \times 10: 13 \times 11\) \(\large 80:99 :: 120: 143\)

OpenStudy (amilapsn):

I think we can propose legit reasons for each other options to be the answers although 143 is more apparent one...

OpenStudy (amilapsn):

For example finding a \(k\) and \(l \) such that \[80k+l=90\\120k+l=any \ option\ \]

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