**MISSING NUMBER OR CHARACTER**

In these questions different numbers or alphabets are arranged in an table / matrix , where each one bears certain characteristics. The candidate has to find a missing number or character from the set of options given.

Example 1:Find the number at a place marked as ? in the table |

(a) 96 $\qquad\qquad (b)\, 120 \qquad\qquad (c)\,144\qquad\qquad(d)\,100$ $\\$ **Answer :** (c) in every row the last number is square of average of first and second number.$\\$ Number will be $(\frac{5\,+\,19}{2})^{2} \,=\,{12}^2\,=\,144$

**Example 2 :** Find the appropriate answer if $\\$ $\qquad\quad $ $\\$ $(a)\,77\qquad\qquad(b)\,76\qquad\qquad(c)\,85\qquad\qquad(d)\,67 $ $\\$ **Answer :** (b) $\\$ in each row we find that the number is tenth digit is number at 1st column divided by HCF of two numbers and unit digit is number divided by HCF of the two numbers. like 25 , 30 ,56 numbers at 3rd row HCF ( 25 , 30 ) = 5 hence number is tenth digit is 5 = 25\5 and unit digit is 6 = 30 /5

**Example 3 :-** Find the number in place of ” ? ” in the following table .

3 | 5 | 7 | 9 | 11 | 13 |

8 | 26 | 48 | 82 | ? | 170 |

$(a)\,120\qquad\qquad(b)\,121\qquad\qquad(c)\,122\qquad\qquad(d)\,123 $ $\\$** Answer :** (a) Alternately the numbers in 2nd row are square of number in 1st row $\pm $ 1 . Hence the number will be $\ {11}^{2}\, \pm 1 $where as odd position it is -1 hence $ {11}^{2}\,-1 \,=\,120 $