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Reasoning Aptitude

SYMBOLIC OPERATIONS MCQs

Symbols And Notations

Total Questions : 57 | Page 2 of 6 pages
Question 11. After interchanging ÷ and =, 2 and 3 which one of the following statements becomes correct?
  1.    15 = 2 ÷ 3
  2.    5 ÷ 15 = 2
  3.    2= 15 ÷ 3
  4.    3 -2 ÷ 15
 Discuss Question
Answer: Option B. -> 5 ÷ 15 = 2

Explanation:

5 = 15 ÷ 3

Question 12. Select the correct combination of Mathematical signs to replace * signs and to balance the given equation 1 * 6 * 6 * 2 * 20
  1.    + ÷ = ÷
  2.    + – = ÷
  3.    + – = ÷
  4.    – + = ÷
 Discuss Question
Answer: Option B. -> + – = ÷

Explanation:

4 x 6 – 6 + 2 = 20
=> 24 – 6 + 2 = 20
=> 26 – 6 = 20

Question 13. After interchanging ÷ and +, 12 and 18, which one of the following equations becomes correct?
  1.    (90 x 18) + 18 = 60
  2.    (18 + 6) ÷12 = 2
  3.    (72 ÷ 18) x 18 = 72
  4.    (12 + 6) x 18 = 36
 Discuss Question
Answer: Option D. -> (12 + 6) x 18 = 36


Question 14. If ‘+’ is stands for division; ‘÷’ stands for multiplication; ‘x’ stands of subtraction; ‘-‘ 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:

Option (b)

18 + 6 ÷ 7 x 5 – 2=18
or, 18 ÷ 6 x 7 – 5 + 2=18
or, 3 x 7- 5 + 2= 18
or, 21 – 5 + 2= 18

Question 15. If ‘x’ stands for ‘+’ and ‘÷’ for ‘-‘find the value of the following equation.
39 x 23 ÷ 21 x 5
  1.    46
  2.    36
  3.    62
  4.    89
 Discuss Question
Answer: Option A. -> 46

Explanation:

? = 39 x 23 ÷ 21 x 5
or, ? = 39 + 23 – 21 + 5
or, ? = 67 – 21 = 46


Question 16. If ‘—‘ stands for division, ‘÷’stands for multiplication, ‘+’ stands for subtraction and ‘x’ for addition, then which of the following equation is correct?
  1.    20 + 8-7 ÷ 6 x 4 = 25
  2.    20 – 5 ÷ 4 + 6 x 5 = 15
  3.    20 x 5- 6 ÷ 7 + 4 = 28
  4.    20 ÷ 4 – 8 x 10 + 6 = 36
 Discuss Question
Answer: Option B. -> 20 – 5 ÷ 4 + 6 x 5 = 15

Explanation:

Option (b)

20 – 5 ÷ 4 + 6 x 5 = 1.5
or, 20 ÷ 5 x 4 – 6 + 5= 15
or, 4 x 4 – 6 + 5 = 15
or, 16 – 6 + 5 = 15

Question 17. If ‘+’ stands for ‘division’, ‘—‘ stands for equal to, ‘x’ stands for ‘addition’, ‘÷’ stands for ‘greater than’, ‘=’ stands for less than, ‘>’ stands for ‘multiplication’, and ‘<’ stands for ‘subtraction’, then which of the following alternatives is correct?
  1.    5 + 2 x 1 = 3 + 4 > 1
  2.    5 > 2 x 1- 3 > 4 < 1
  3.    5 x 2 < 1 – 3 < 4 x 1
  4.    5 < 2 x 1 ÷ 3 > 4 x 1
 Discuss Question
Answer: Option B. -> 5 > 2 x 1- 3 > 4 < 1

Explanation:

Option (b)

5 > 2 x 1 – 3 > 4 < 1 =>5 x 2 + 1 = 3 x 4 – 1
or, 11 = 11

Question 18. If ‘+’ means ‘minus’, ‘-’ means ‘multiplication’, ‘÷’ means ‘plus’, and ‘x’ means ‘division’,
15- 3 + 10 x 5 ÷ 5=?
  1.    52
  2.    48
  3.    22
  4.    5
 Discuss Question
Answer: Option B. -> 48

Explanation:

Given expression
15 – 3 + 10 x 5 ÷ 5 = 9
After conversion
? = 15 x 3 – 10 ÷ 5+ 5
or, ? = 45- 2 + 5
or, ? = 50- 2 = 48

Question 19.

If ‘÷’ stands for ‘greater than’, ‘x’ Stands for ‘addition’, ‘+’ stands for ‘division’,’-‘ stands for ‘equal to’, ‘>’ stands for ‘multiplication’. Equal to stands for ‘less than’, ‘<’ stands for ‘minus’, then which of the following alternatives is correct

  1.    3 x 2 < 4 ÷ 6 + 3 < 2
  2.    3 + 2 < 4 ÷ 6 > 3 x 2
  3.    3 > 2 < 4- 6 x 3 x 2
  4.    3 x 2 x 4 = 6 + 3 < 2
 Discuss Question
Answer: Option A. -> 3 x 2 < 4 ÷ 6 + 3 < 2

Explanation:

Option (a)
3 x 2 < 4 ÷ 6 + 3 < 2 After conversion 3 + 2 – 4 > 6 ÷ 3 – 2
or, 5 – 4 > 2-2
or, 1 > 0

Question 20. If ‘x’ means ‘-’,’ –‘ means ‘÷’, ‘+’ means ‘x’ and ‘÷’ means ‘+’, then what will be the value of the following expression? 16 x 8 ÷ 4-3 + 9 =?
  1.    10
  2.    19
  3.    20
  4.    9
 Discuss Question
Answer: Option C. -> 20

Explanation:

Given expression
16 x8 ÷ 4 – 3 + 9 = ?
After conversion
9 =16 – 8 + 4 ÷ 3 x 9
or, ? = 16 – 8 + 4/3 x 9
or, ? = 16 – 8 + 12 = 20

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