Latest Elitmus Aptitude Question SOLUTION: In a triangle,A is greater than B and C. Sum of angles A and seven times of B is 155 . Then find the range of angle C A.79<= c >25 B.79<= c =>31 C.81<= c >31 D.none of the

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(#M40064005) ELITMUS Numerical Ability question geometry Keep an EYE

In a triangle,A is greater than B and C. Sum of angles A and seven times of B is 155 . Then find the range of angle C
A.79<= c >25
B.79<= c =>31
C.81<= c >31
D.none of these

Asked In Elitmus Ravi Ranjan Ojha (9 years ago)

Unsolved Read Solution (13)

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Subrato Das  (9 years ago)

Sorry for the mistake...
Ans is B.
A+7B=155; A+B+C=180....
solve both...will get C=25+6B; Now for B=1; C=31 & A=148;
then max value of B for which both given condition satisfied...is B=9;
So for B=9; C=79 & A=92;
Hence range of angle C is 31 to 79...

Is this solution Helpfull? Yes (16) | No (2)  

Manoj Gusain  (9 years ago)

Sorry guys for typing mistake, this one is CORRECT

Value of A is greater than B and C, and A+7B=155

When A=85, B=10, then (85+7*10=155) so here C=180-(85+10) = 180-95 = 85
When A=148, B=1, then (148+7*1=155), So here C = 180-(148+1) = 180-149 = 31
So, Range of C will be from 31 to 85.

Is this solution Helpfull? Yes (8) | No (8)  

Subrato Das  (9 years ago)

Ans is C.
A+7B=155; A+B+C=180....
solve both...will get C=25+6B; Now for B=1; C=31 & A=148;
then max value of B for which both given condition satisfied...is B=9;
So for B=9; C=79 & A=92;
Hence range of angle C is 31 to 79...

Is this solution Helpfull? Yes (4) | No (1)  

yyy  (9 years ago)

the ans must be D. none of these
becoz in triangle A + B + C = 180

and when C=25 then A+B=155 or when c=31 then A+B=149
therefore the condiyion A+7B=155 is not satisfied.
it is not satisfid for other values of C as well...

Is this solution Helpfull? Yes (2) | No (1)  

Manoj Gusain  (9 years ago)

Value of A is greater than B and C, and A+7B=155

When A=78, B=11 (85+10*7=155) so C=180-(85+10) = 180-95 = 85
When A=148, B=1 (148+7*1=155), So here C = 180-(148+1) = 180-149 = 31
So, Range of C will be from 31 to 85.

Is this solution Helpfull? Yes (1) | No (4)  

ankit  (9 years ago)

A+B+C=180,
A+7B=155
SO, A=155-7B
AND from (i) equation C=25+6B
now becoz A>C
so 155-7B>25+6B
130>13B
so B

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Manoj Gusain  (9 years ago)

C. 85 = 31

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anil  (9 years ago)

at c=25 a and b equal but c cant be 0 to make triangle c >0 so solution a

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maharaja  (9 years ago)

min is 31....bt how to find max value for c...?????

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Rishabh Agarwal  (9 years ago)

A,because the sum of three angles in a triangle is 180 degree.Given A is greater than B and C and sum of A and C is 155.So, 180-155=25.

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neeraj kumar  (9 years ago)

answer must be A 7925

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Pranjal Shrivastava  (8 years ago)

A+7B=155 & A+B+C=180 Solving both we get=C=25+6B
For,B=1..C=25+6=31(min. value)
Now chosing C=81 from given options ,so as to check whether calculated value of A satisfy the condition A>B and A>C
C=81 we know,C=25+6B
81=25+6B,Thus B=9.33
A+7B=155 From here A=155-7(9.33)=89.69
We can Check the conditions A>B and A>C
Also,A+B+C ie..,89.69+9.33+81=180
Thus,option" c" is correct

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Abhishek Mohanty  (8 years ago)

Answer is B

A+7B=155
A+B+C=180
==>C=25 + 6B--------(1)

Now max value of A is when B=1.
so when B=1, A=148, c=31.

Now since A>C
A>25+6B (from 1)
155-7B>25+6B
on solving
B

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