# Character Puzzles Reasoning Syllabus and Questions

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Online Interview In such type of questions a figure or a matrix is given in which some numbers are filled according to a rule. A place is left blank. The candidate has to find out a number from the given possible answers which may be filled in the blank space.

Some examples are given below. Which number will replace the question mark ?

Solution : From figure (a) :
$(3^{2})+(2)^{2}\:=\:13$
From fig. (b), $(4)+ (8)^{2}\: =\:80$
Similarly in fig, (C), ? = $(1)^{2}+(5)^{2}\:=\: 1+25\:=\:26$

Hence the number 26 will replace the question mark.

Example 2. Which number will replace the question mark ?

Solution : From fig. (a),
$6+4+8\:=\:18 \rightarrow\:18+2\:=\:20$
From fig. (b),
$7+9+8 \:=\: 24\:\rightarrow\:24+2 \:=\: 26$
Similarly in fig, (c),
$6+5+12 \:=\: 2\: \rightarrow\: 23+2 \:= \:25 \:=\: (?)$
Hence the question mark will be replaced by 25.

Example 3. Which number will replace the question mark ?

Solution : from (a),
$9^{2}+8^{2}+7^{2}+6^{2}\:=\:81+64+49+36\:=\:230$
From (b),
$6^{2}+7^{2}+3^{2}+4^{2}\: = \:36+49+9+16\:=\:110$

Similarly from (c),
$9^{2}+6^{2}+5^{2}+4^{2}\:=\:81+36+25+16\:=\:158$

Hence the question mark will be replaced by the number 158.

Example 4. Which number will replace the question mark ?
Solution : From (a),
$7\times 6+3\: =\:45$
(b) $5\times 4+6\: =\:26$
Similarly from (c),
$7\times 3+8\: =\:29$
Hence the question mark will be replaced by the number 29.

Example 5. Which number will replace the question mark ?
Solution : $(4+3)^{2}\: =\: (7)^{2}\:=\: 49$

$(8+5)^{2}\: =\:(13)^{2}\:=\:169$
$(11+12)^{2}\: =\:(23)^{2}\:=\:529$
$(10+9)^{2}\: =\:(19)^{2}\:=\:361$
Hence the question mark will be replaced by 361

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