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Reasoning Aptitude

SYMBOLIC OPERATIONS MCQs

Symbols And Notations

Total Questions : 57 | Page 1 of 6 pages
Question 1. If '#' means 'less than' ,'*' means 'greater than ' and '@' means 'equal to ' and given that a # b , c@ d and c *b ,then which of the following is true?
  1.    d # a
  2.    b * d
  3.    a @ c
  4.    a#b#c
 Discuss Question
Answer: Option D. -> a#b#c
Explanation:

a#b= a<b

c*b=c>b

c @ d =c=d

therefore a<b<c=d

Question 2. If 45=189and 108=1512
 then 69  =
  1.    945
  2.    1148
  3.    983
  4.    764
 Discuss Question
Answer: Option A. -> 945


Question 3.


  1.    200
  2.    175
  3.    195
  4.    179
 Discuss Question
Answer: Option C. -> 195


Question 4.


  1.    600
  2.    552
  3.    576
  4.    625
 Discuss Question
Answer: Option B. -> 552


Question 5. If '-' stands for '×' , '× ' stands for '+' ,'+' stands for '÷ ', and '÷ ' stands for '-' , then what is the value of 9÷ 18×15+3−6×12 ?
  1.    24
  2.    30
  3.    33
  4.    42
 Discuss Question
Answer: Option C. -> 33

The given expression is 9÷ 18×15+3−6×12.

By converting the symbols according to the given definitions we get 9−18+15÷3×6+12

Solving this BODMAS rule,we get the value as 33.

Question 6. If ‘+’stands for division, ‘÷’ stands for multiplication, ‘x’ stands for subtraction and ‘-‘ stands for addition, which one of the following is correct?
  1.    18 ÷ 6 – 7 + 5 x 2 = 20
  2.    18 + 6 ÷ 7 x 5 – 2 = 18
  3.    18 x 6 + 7 ÷ 5 -2 = 16
  4.    18 ÷ 6 x 7 + 5 -2 = 22
 Discuss Question
Answer: Option B. -> 18 + 6 ÷ 7 x 5 – 2 = 18

Explanation: After conversion
18 ÷ 6 x 7 – 5 + 2= 18
or, 3 x 7- 5 + 2 = 18
or, 21-5 + 2=18
or, 23-5 = 18
or, 18 = 18

Question 7. If ‘+’ stands for multiplication, ‘x’ stands for division, ‘-‘ stands for addition and ‘+’ stands for subtraction, what is the answer for the following equation? 20 – 5 + 18 x (3 + 2) =?
  1.    20
  2.    18
  3.    108
  4.    22
 Discuss Question
Answer: Option D. -> 22

Explanation:

Given expression
20-5÷ 18 x (3 + 2) = ?
After changing the signs
? = 20 + 5- 18 ÷ (3 x 2)
or, ? = 20 + 5- 18 ÷ 6
or, ? = 20 + 5- 3
or, ? = 25 -3 = 22

Question 8. If ‘+’ stands for multiplication, ‘x’ stands for division, ‘-‘ stands for addition and ‘+’ stands for subtraction, what is the answer for the following equation? If L = +, M = – , N = x, P = ÷, then 5 N 5 P 5 L 5 M 5 =?
  1.    0
  2.    5
  3.    10
  4.    15
 Discuss Question
Answer: Option B. -> 5

Explanation:

Given expression
5 N 5 P 5 L 5 M 5=?
After changing the signs
?=5 x 5 ÷ 5 + 5 – 5
or, ? = 5 + 5- 5 = 5

Question 9. Which alternative Cleary indicates the rule followed in the following set of numbers?
7 4 8 2 = 24
  1.    -, x, x
  2.    x, +,÷
  3.    x, -, ÷
  4.    x, ÷,-
 Discuss Question
Answer: Option C. -> x, -, ÷

Explanation:
7 x 4 – 8 + 2 =>28-4 = 24

Question 10. In the following question you have to identify the correct response from the given premises stated according to following symbols.
Q. 12 3 4 8 = 0
  1.    – + +
  2.    ÷ + ÷
  3.    – – –
  4.    ÷ + –
 Discuss Question
Answer: Option D. -> ÷ + –

Explanation:

12 ÷ 3 + 4 – 8 = 0
or, 4 + 4 – 8 = 0
or, 8-8 = 0

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