Find the missing number (triangle)
$begingroup$
Find the missing number (triangle)
Options:
9
8
7
10
Please write the logic also.
pattern calculation-puzzle sequence
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
$endgroup$
add a comment |
$begingroup$
Find the missing number (triangle)
Options:
9
8
7
10
Please write the logic also.
pattern calculation-puzzle sequence
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
$endgroup$
$begingroup$
Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
$endgroup$
– rhsquared
Aug 26 '18 at 7:32
$begingroup$
Also are you sure your options for the answer are right? Did you get the options with the question?
$endgroup$
– nikki
Aug 26 '18 at 8:01
add a comment |
$begingroup$
Find the missing number (triangle)
Options:
9
8
7
10
Please write the logic also.
pattern calculation-puzzle sequence
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
$endgroup$
Find the missing number (triangle)
Options:
9
8
7
10
Please write the logic also.
pattern calculation-puzzle sequence
pattern calculation-puzzle sequence
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
edited Aug 26 '18 at 7:24
user1942348
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
asked Aug 26 '18 at 7:18
user1942348user1942348
1233
1233
$begingroup$
Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
$endgroup$
– rhsquared
Aug 26 '18 at 7:32
$begingroup$
Also are you sure your options for the answer are right? Did you get the options with the question?
$endgroup$
– nikki
Aug 26 '18 at 8:01
add a comment |
$begingroup$
Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
$endgroup$
– rhsquared
Aug 26 '18 at 7:32
$begingroup$
Also are you sure your options for the answer are right? Did you get the options with the question?
$endgroup$
– nikki
Aug 26 '18 at 8:01
$begingroup$
Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
$endgroup$
– rhsquared
Aug 26 '18 at 7:32
$begingroup$
Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
$endgroup$
– rhsquared
Aug 26 '18 at 7:32
$begingroup$
Also are you sure your options for the answer are right? Did you get the options with the question?
$endgroup$
– nikki
Aug 26 '18 at 8:01
$begingroup$
Also are you sure your options for the answer are right? Did you get the options with the question?
$endgroup$
– nikki
Aug 26 '18 at 8:01
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Answer:
$$?=10.$$
$$$$
Explanation:
Suppose that
we have an equilateral triangle $Delta rm ABC$:
Then,
the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$
$$$$
Examples:
$$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$
$$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$
And last but not least...
$$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
$endgroup$
1
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
1
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
1
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
1
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
add a comment |
$begingroup$
Alternative answer:
Pattern:
The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.
Hence the answer is
$10$
as
$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$
Examples:
$$frac338=4.125,quadfrac6310=6.3$$
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
$endgroup$
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:24
1
$begingroup$
Hmm... let's get @Cleo :D
$endgroup$
– user477343
Sep 1 '18 at 18:25
|
show 4 more comments
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Answer:
$$?=10.$$
$$$$
Explanation:
Suppose that
we have an equilateral triangle $Delta rm ABC$:
Then,
the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$
$$$$
Examples:
$$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$
$$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$
And last but not least...
$$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
$endgroup$
1
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
1
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
1
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
1
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
add a comment |
$begingroup$
Answer:
$$?=10.$$
$$$$
Explanation:
Suppose that
we have an equilateral triangle $Delta rm ABC$:
Then,
the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$
$$$$
Examples:
$$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$
$$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$
And last but not least...
$$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
$endgroup$
1
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
1
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
1
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
1
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
add a comment |
$begingroup$
Answer:
$$?=10.$$
$$$$
Explanation:
Suppose that
we have an equilateral triangle $Delta rm ABC$:
Then,
the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$
$$$$
Examples:
$$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$
$$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$
And last but not least...
$$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
$endgroup$
Answer:
$$?=10.$$
$$$$
Explanation:
Suppose that
we have an equilateral triangle $Delta rm ABC$:
Then,
the number in the middle of the triangle (say, $rm M$) is created from the formula: $$rm M = (Itimes II) + III - 10.$$
$$$$
Examples:
$$beginalign 33 &= (5times 7) + 8 - 10 \ &= 35 -2 \ &= 33;colorgreencheckmark tag1 endalign$$
$$beginalign 63 &= (7times 9) + 10 - 10 \ &= 63 + 0 \ &= 63;colorgreencheckmarktag2endalign$$
And last but not least...
$$beginalign132 &= (12times 11):+:? - 10 \ &= 132:+:? - 10 \ &= 122:+:? \ &Downarrow \ ?&=132-122 \ &= 10.tag3endalign$$
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
edited Aug 26 '18 at 8:16
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
answered Aug 26 '18 at 8:08
user477343user477343
2,7381850
2,7381850
1
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
1
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
1
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
1
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
add a comment |
1
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
1
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
1
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
1
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
1
1
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
$begingroup$
(+1) nice. As a challenge, seeing as you love mathjax perhaps you could try producing the triangle with it? ;)
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:09
1
1
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
$begingroup$
@TheSimpliFire if you can actually do that, that would be pretty cool, because I have no idea, hahah :P
$endgroup$
– user477343
Aug 26 '18 at 13:23
1
1
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
$begingroup$
Found the $LaTeX$ code: tex.stackexchange.com/questions/244376/drawing-a-triangle
$endgroup$
– TheSimpliFire
Aug 26 '18 at 13:54
1
1
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
$begingroup$
Oh my... that is beautiful! But unfortunately, when I tried it, it does not work... Thus far, my best bet is the following: $$LARGEtriangle$$ Since it contains 'document' commands, I am pretty sure this can only be done when writing an actual document (paper) using $LaTeX$, but this theory is a little debunked because the user in the link can format it on the TeX site... perhaps Puzzling alone is culpable, because when I type it, there is an "unknown environment 'document'".
$endgroup$
– user477343
Aug 26 '18 at 21:50
add a comment |
$begingroup$
Alternative answer:
Pattern:
The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.
Hence the answer is
$10$
as
$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$
Examples:
$$frac338=4.125,quadfrac6310=6.3$$
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
$endgroup$
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:24
1
$begingroup$
Hmm... let's get @Cleo :D
$endgroup$
– user477343
Sep 1 '18 at 18:25
|
show 4 more comments
$begingroup$
Alternative answer:
Pattern:
The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.
Hence the answer is
$10$
as
$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$
Examples:
$$frac338=4.125,quadfrac6310=6.3$$
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
$endgroup$
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:24
1
$begingroup$
Hmm... let's get @Cleo :D
$endgroup$
– user477343
Sep 1 '18 at 18:25
|
show 4 more comments
$begingroup$
Alternative answer:
Pattern:
The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.
Hence the answer is
$10$
as
$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$
Examples:
$$frac338=4.125,quadfrac6310=6.3$$
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
$endgroup$
Alternative answer:
Pattern:
The fractional part of $fractextnumber in triangletextnumber left of triangle$ is less than $frac12$.
Hence the answer is
$10$
as
$$frac1327=18.85cdots,quadfrac1328=16.5,quadfrac1329=14.66cdots,quadfrac13210=13.2$$
Examples:
$$frac338=4.125,quadfrac6310=6.3$$
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
edited Aug 27 '18 at 6:10
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
answered Aug 26 '18 at 13:20
TheSimpliFireTheSimpliFire
2,155532
2,155532
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:24
1
$begingroup$
Hmm... let's get @Cleo :D
$endgroup$
– user477343
Sep 1 '18 at 18:25
|
show 4 more comments
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:24
1
$begingroup$
Hmm... let's get @Cleo :D
$endgroup$
– user477343
Sep 1 '18 at 18:25
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
Talking about $LaTeX$, go here!!
$endgroup$
– user477343
Sep 1 '18 at 5:09
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
@user477343 Nice! Feel free to check out my mathmatical fortnight challenge on my profile :)
$endgroup$
– TheSimpliFire
Sep 1 '18 at 18:22
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
Can that be found in your blog? Edit: Oh wait, nevermind. The $LaTeX$ just needed to load, hahah :P
$endgroup$
– user477343
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
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– TheSimpliFire
Sep 1 '18 at 18:24
$begingroup$
@user477343 THat'll have to wait until 16/09 (when it ends). But it's there on my SE profile
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– TheSimpliFire
Sep 1 '18 at 18:24
1
1
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Hmm... let's get @Cleo :D
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– user477343
Sep 1 '18 at 18:25
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Hmm... let's get @Cleo :D
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– user477343
Sep 1 '18 at 18:25
|
show 4 more comments
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$begingroup$
Hello and welcome to PSE. Did you come up with this puzzle yourself or is it copied from elsewhere? If it's not your you should provide the source of the puzzle.
$endgroup$
– rhsquared
Aug 26 '18 at 7:32
$begingroup$
Also are you sure your options for the answer are right? Did you get the options with the question?
$endgroup$
– nikki
Aug 26 '18 at 8:01