## mathmath333 one year ago Reasoning question

1. 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}}

2. ParthKohli

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

3. mathmath333

??

4. imqwerty

Mathmath u kiddin rn

5. ParthKohli

$\frac{80}{90} = \frac{120}{?}$

6. mathmath333

7. ParthKohli

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

8. mathmath333

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

9. 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.

10. welshfella

i've never see the symbol :: before?

11. mathmath333

but now u have seen

12. ParthKohli

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

13. welshfella

yes lol - but what does it mean?

14. ParthKohli

Are you sure the options are correct, mathmath?

15. mathmath333

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

16. mathmath333

and $$80/90=120/x$$, $$x= 135$$ is not in options

17. 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

18. 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

19. mathmath333

*corrected

20. ganeshie8

interesting, so this is not a simple proportion

21. mathmath333

wait got one more correction

22. 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}}

23. mathmath333

this is full correct

24. mathstudent55

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

25. mathstudent55

143

26. mathmath333

27. mathstudent55

How?

28. mathstudent55

I thought the answer was 143.

29. mathmath333

because all the others are composite

30. ganeshie8

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

31. mathmath333

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

32. mathstudent55

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

33. mathmath333

oh i see

34. mathstudent55

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

35. mathstudent55

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

36. amilapsn

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

37. amilapsn

For example finding a $$k$$ and $$l$$ such that $80k+l=90\\120k+l=any \ option\$