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  • In a mathematical competition consisting of 25 problems, 8 marks are given for each correct response, 0 marks for each incorrect response and each no response is awarded 3 marks. Tim scored 121 marks in this competition. What is the smallest number of inc

In a mathematical competition consisting of 25 problems, 8 marks are given for each correct response, 0 marks for each incorrect response and each no response is awarded 3 marks. Tim scored 121 marks in this competition. What is the smallest number of incorrect responses he could have?

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The;maximum;marks;are;gained;when;answers;are;correct.\* So,;to;find;the;maximum;number;of;incorrect;answers;possible;we\* need;to;find;the;maximum;number;of;correct;answers;and; minimum\*number;of;no;response;answers;that;can;score;121;as;a ;total.\*Tim;scored;a;total;of;121;marks.\* So,;finding;the;number;of;maximum;possible;correct;answer\* 8 imes number;of;correct;questionleq 121\*Rightarrow number;of;correct;questionleq15.1\*Rightarrow 8 imes 15=120<121\* So;this;is;not;possible;as;only;1; mark;is;remaining;and;it;is;not;possible.\* So,;no.;of;correct;question;will;be;14\* Rightarrow 8 imes 14=112\* Now,;reamining;marks=121-112=9\*So,;9;marks;are;obtained;from;3;no;response.\*Rightarrow 3 imes 3=9\*Rightarrow Tim;scored;121;marks;by;attempting;14;correct;question;and;3;no;response.\* So,;the;smallest;number;of;responses;that;Tim;could;have;is;0

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Deependra Verma

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