Logical Reasoning -More exercise questions updated on Jun 2020

# Symbols and Notations-Exercise Questions

|   30562

Direction: Study the following sequence carefully and answer the questions given below:

1. If ‘-‘ stands for ‘x’,  ’x’ stands for ‘+’,  ‘+’stands for ‘÷’ and ‘÷’ stands for ‘-‘,then what is the value of 9÷18x15+3-6x12 ?

(a)24       (b)30      (c)33     (d)42     (e)58

2. If a\$b=a2b2-ab , then 3\$8=

(a)600    (b)552     (c)576   (d)625    (e)676

3. If pØq=p2+q2-p-q and p?q=pq-p-q,then(6Ø5)? 5 =

(a)200   (b)175    (c)195   (d)179      (e)225

(a)945    (b)1148    (c)983    (d)764    (e)932

5. If’?’ means is less than’, ‘\$’ means ‘is greater than’and £’means ‘is equal to’and given that a? b,c£d and c\$b,then which of the following is true ?

(a)d?a     (b)b\$d      (c)a£c    (d)a?b?c      (e)a?c

6. If ’x’means 'added to' ’÷’means 'multiplied by'; ’+’means 'subtracted from' and ‘-‘ means ‘divided by',then simplify 24+36-12x 8÷4= ?

(a)36    (b)53     (c)5      (d)20     (e)None of these

7. If A means ‘-‘,B means ‘÷’,C means ‘+’,and D means ‘x’,then 15B3C24A12D2 =?

(a)2     (b)5/9   (c)-234/9    (d)34     (e)5

8. If ‘W’ means ÷,X means ‘+’,Y means ‘-‘ and Z means ‘x’ then 28Z3Y4x12W6=?

(a)27    (b)82       (c)39    (d)53     (e)11

9. If ‘+’means ‘÷’,÷means ‘x’ ,’x’ means  ‘-‘ and ‘-‘ means ‘+’ ,then 10+2÷5-3÷4+2-1=?

(a)32   (b)50     (c)45     (d)120    (e)150

10. If 5@6=61 and 8@10=164,then 7@9=?

(a)125    (b)63     (c)130    (d)32       (e)95

1. Ans (c)33. The given expression 9÷18x15+3-6x12. By converting the symbols according to the given definitions, we get 9-18+15÷3x6+12  solving this by BODMAS rule,we get the value as 33.

2.  Ans (b)552. Given a\$b=a2b2-ab –ab →3\$8 = 32x82 – 3x8=9x64-24=576-24=552

3. Ans (c)195. 6Ø5 = 62+52-6-5=36+25-6-5=50 (6Ø5? 5 = 50?5 = 50x5-50-5195