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Reasoning Aptitude

MATHEMATICAL OPERATIONS MCQs

Total Questions : 233 | Page 1 of 24 pages
Question 1. If ‘-’ stands for division, '+' for multiplication, '÷' for subtraction and ‘x' for addition, then which one of the following equations is correct?
  1.    19 + 5 - 4 x 2 ÷ 4 =11
  2.    19 x 5 – 4 ÷ 2 + 4 =16
  3.    19 ÷ 5 + 4 – 2 x 4 = 13
  4.    19 ÷ 5 + 4 -2 ÷ 4= 20
 Discuss Question
Answer: Option C. -> 19 ÷ 5 + 4 – 2 x 4 = 13
Answer: (c)
- ⇒ ÷,  + ⇒ x, ÷ ⇒ x, - ⇒ +,
From option (a), 19 + 5 - 4 x 2 ÷ 4 = 11
⇒ 19 x 5 ÷ 4 + 2 - 4 = 11
⇒ 95/4 + 2 - 4  ≠ 11
From option (b),
19 x 5 - 4 ÷ 2 + 4 = 16
⇒ 19 + 5 ÷ 4 - 2 x 4 = 16
⇒ 19 + 5/4 - 8  ≠ 16
From option (c),
19 ÷ 5 + 4 - 2 x 4 = 13
⇒ 19 - 5 x 4 ÷ 2 + 4 = 13
⇒ 19 - 5 x 2 + 4 = 13
⇒ 19 - 10 + 4 = 13
Therefore 13 = 13
As,we got our answer, there is no need to check option (d).
Question 2. If '×' means subtraction, '+' means multiplication and '-' means addition, then find the value of following equation. 12 + (3 × 1) + 4 - 1 = ?
  1.    98
  2.    75
  3.    85
  4.    97
 Discuss Question
Answer: Option D. -> 97
Answer: (d)
According to the question,
? = 12 + (3 × 1) + 4 - 1
from the question by changing the symbols, we get
= 12 × (3 - 1) × 4 + 1 (using VBODMAS rule)
= 12 × 2 × 4 + 1
= 96 + 1 = 97
Question 3. If '-' stands for '÷' ‘+’ stands for ‘x', '÷' for ‘-‘ for ‘x' for '+', which one of the following equations in correct?
  1.    30 – 6 + 5 x 4 ÷2 = 27
  2.    30 + 6 -5 ÷ 4 x 2= 30
  3.    30 x 6 ÷ 5 – 4 + 2 = 32
  4.    30 ÷6 x 5+ 4 -2 = 40
 Discuss Question
Answer: Option A. -> 30 – 6 + 5 x 4 ÷2 = 27
Answer: (a)
- ⇒ ÷,  + ⇒ x, ÷ ⇒ x, - ⇒ +,
From option (a),
30 - 6 + 5  x 4 ÷ 2 = 27
⇒ 30  ÷ 6 x 5 + 4 - 2 = 27
⇒ 5 x 5 + 4 - 2 = 27
⇒ 25 + 4 - 2 = 27
Therefore 27 = 27
Question 4. If A = '+', B = ‘-‘, C = '×' and D = '÷', then 5 C 5 D 5 A 5 B 5 = ?
  1.    0
  2.    5
  3.    10
  4.    15
 Discuss Question
Answer: Option B. -> 5
Answer: (b)
According to the question,
? = 5 C 5 D 5 A 5 B 5
from the question by changing the symbols, we get
= 5 × 5 ÷ 5 + 5 - 5 (using VBODMAS rule)
= 5 × 1 + 5 - 5
= 10 - 5 = 5
Question 5. If '×' stands for '+', ÷ stands for '-', '-' stands for '×' and '+' stands for '÷', then find the value of following equation. 54 ÷ 16 - 3 × 6 + 2 = ?
  1.    9
  2.    12
  3.    8
  4.    15
 Discuss Question
Answer: Option A. -> 9
Answer: (a)
According to the question,
? = 54 ÷ 16 - 3 × 6 + 2
from the question by changing the symbols, we get
=  54 - 16 × 3 + 6 ÷ 2 (using VBODMAS rule)
= 54 - 16 × 3 + 3
= 54 - 48 + 3
= 6 + 3 = 9
Question 6. If ‘-‘ stands for 'addition', '÷’  for 'multiplication', ‘×’ for 'subtraction' and ‘+' for 'division', then which of the following is correct?
  1.    25 × 12 - 14 ÷ 4 + 6 = 16
  2.    25 – 12 + 14 ÷ 2 × 4 = 15
  3.    25 – 15 + 5 ÷ 4 × 16 = 21
  4.    25 + 11 – 4 ÷ 10 × 6 = 20
 Discuss Question
Answer: Option C. -> 25 – 15 + 5 ÷ 4 × 16 = 21
Answer: (c)
From option (c),
25 + 15 ÷ 5 × 4 - 16 = 21 (using VBODMAS rule)
⇒ 25 + 3 × 4 - 16 = 21
⇒ 25 + 12 - 16 = 21
⇒ 37 - 16 = 21
⇒ 21 = 21
LHS = RHS
So, option (c) is correct.
Question 7. If + means -, - means x, ÷ means + and x means ÷, then 15 - 3 + 10 x 5 ÷ 5 = ?
  1.    5
  2.    22
  3.    48
  4.    52
 Discuss Question
Answer: Option C. -> 48
Answer: (c)
Using the correct symbols,
we have: Given expression
= 15 x 3- 10 ÷ 5 + 5 (using VBODMAS rule)
= 45 - 2 + 5
= 50 - 2 = 48.
Question 8. If ‘<’ means 'minus', ‘>' means ‘plus', '=’ means 'multiplied by' and '#' means 'divided by’, then what would be the value of 27 > 81 # 9 <6?
  1.    6
  2.    33
  3.    36
  4.    54
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these
Answer: (e)
Using the correct symbols,
we have: Given expression as
= 27+ 81 ÷ 9 – 6
= 27 + 9 - 6
= 36 - 6 = 30.
Question 9. If & means +, # means -, @ means x and * means ÷, then what is the value of 16 & 4 @ 5 # 72 * 8 ?
  1.    25
  2.    27
  3.    29
  4.    36
  5.    None of these
 Discuss Question
Answer: Option B. -> 27
Answer: (b)
Using the correct symbols,
we have: Given expression
= 16 + 4 x 5 - 72 ÷ 8
= 16+ 20 - 9
= 36 –9 = 27.
Question 10. If x means ÷, - means x, ÷ means + and + means -, then (3 - 15 ÷ 19) x 8 +6 =?
  1.    -1
  2.    2
  3.    4
  4.    8
 Discuss Question
Answer: Option B. -> 2
Answer: (b)
Using the correct symbols,
we have: Given expression
= (3 x 15 + 19) ÷ 8 - 6 
= 64 ÷ 8 - 6
= 8 - 6 = 2.

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