Logical Puzzle MCQ Quiz - Objective Question with Answer for Logical Puzzle - Download Free PDF
Last updated on Jun 28, 2025
Latest Logical Puzzle MCQ Objective Questions
Logical Puzzle Question 1:
Select the correct combination of mathematical signs to replace * signs and
to balance the given equation.
16 * 6 * 4 * 24
Answer (Detailed Solution Below)
Logical Puzzle Question 1 Detailed Solution
Given equation is → 16 * 6 * 4 * 24
After replacing the signs from left to right and using the BODMAS rule,
Option 1 → = ÷ ÷
16 = 6 ÷ 4 ÷ 24
16 = 1.5 ÷ 24
16 ≠ 0.0625
Option 2 → × ÷ =
16 × 6 ÷ 4 = 24
16 × 1.5 = 24
24 = 24
Option 3 → × = ÷
16 × 6 = 4 ÷ 24
16 × 6 = 0.166
96 ≠ 0.166
Option 4 → ÷ = ×
16 ÷ 6 = 4 × 24
2.666 = 4 × 24
2.666 ≠ 96
Hence, the correct answer is "Option 2".
Logical Puzzle Question 2:
In a certain code language, '@' represents '+', '⊕' represents '-' 'α' represents '÷' and 'θ' represents '×'.
Find out the answer to the following question:
8900 α 100 ⊕ 5 θ 4 ⊕ 121 α 11 = ?
Answer (Detailed Solution Below)
Logical Puzzle Question 2 Detailed Solution
Decoding the information,
|
Sign |
@ |
⊕ |
α |
θ |
|
Means |
+ |
- |
÷ |
× |
Given:
8900 α 100 ⊕ 5 θ 4 ⊕ 121 α 11 = ?
After replacing the signs from left to right and using the BODMAS rule,
= 8900 ÷ 100 - 5 × 4 - 121 ÷ 11
= 89 - 5 × 4 - 11
= 89 - 20 - 11
= 89 - 31
= 58
Hence, “58” is the correct answer.
Logical Puzzle Question 3:
If ‘+’ means subtraction, '-' means division, '×' means addition and '%' means multiplication. Based on these information what is the value of 22 + 18 - 3 % 5 = ?
Answer (Detailed Solution Below)
Logical Puzzle Question 3 Detailed Solution
Given Equation: 22 + 18 - 3 % 5 = ?
BODMAS Rule:
Decoding the given information:
| Symbols | × | % | + | - |
|---|---|---|---|---|
| Meaning | + | × | - | ÷ |
Now replacing the sign from left to right using BODMAS Rule, we get:
⇒ 22 - 18 ÷ 3 × 5 = ?
⇒ 22 - 6 × 5 = ?
⇒ 22 - 30 = 8
Hence, the correct option is "Option 2".
Logical Puzzle Question 4:
If '÷' denotes 'subtraction', '-' denotes 'addition', '+' denotes 'multiplication' and '×' denotes 'division', then what will be the value of the given expression?
256 × 8 ÷ 24 + 6 - 152
Answer (Detailed Solution Below)
Logical Puzzle Question 4 Detailed Solution
Here, we use the table given below:
As per the given information:
| Symbol | Denote |
| ÷ | Subtraction (-) |
| - | Addition (+) |
| + | Multiplication (×) |
| × | Division (÷) |
Given expression:
256 × 8 ÷ 24 + 6 - 152
After changing the sign as per the table:
256 ÷ 8 - 24 × 6 + 152
Apply BODMAS:
256 ÷ 8 - 24 × 6 + 152
32 - 24 × 6 + 152
32 - 144 + 152
184 - 144 = 40
256 ÷ 8 - 24 × 6 + 152 = 40
Hence, the correct answer is "40".
Logical Puzzle Question 5:
If A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, then what will be the value of the following expression?
54 C 34 A 24 D 8 B 2
Answer (Detailed Solution Below)
Logical Puzzle Question 5 Detailed Solution
Explanation:
From the given information: A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’
We substitute the values in the given equation and solve it using BODMAS rule:
54 C 34 A 24 D 8 B 2
54 - 34 + 24 ÷ 8 × 2
54 - 34 + 3 × 2
54 - 34 + 6
60 - 34
26 = Answer
Hence the correct answer is option (3).
Top Logical Puzzle MCQ Objective Questions
After interchanging the given two numbers and two signs what will be the values of equation (I) and (II) respectively?
× and +, 3 and 9
I. 7 × 9 – 8 ÷ 2 + 3
Answer (Detailed Solution Below)
Logical Puzzle Question 6 Detailed Solution
Download Solution PDFAccording to the question, after interchanging the given two signs and two numbers i.e :
- × and +
- Two numbers 3 and 9
So,
I. 7 + 3 – 8 ÷ 2 × 9
⇒ 7 + 3 - 4 × 9
⇒ 7 + 3 - 36
⇒ 10 - 36
⇒ -26
II. 4 + 3 – 9 × 8 ÷ 2
⇒ 4 + 3 - 9 × 4
⇒ 4 + 3 - 36
⇒ 7 - 36
⇒ -29
Here, values of equation (I) and (II) are (-26) and (-29) respectively.
If + means ×, × means -, ÷ means +, & - means ÷, then,
146 - 2 + 3 × 123 × 5 + 2 = ?
Answer (Detailed Solution Below)
Logical Puzzle Question 7 Detailed Solution
Download Solution PDF
For this question, We have to check the given equation as-
146 – 2 + 3 × 123 × 5 + 2
| Symbol | Means |
| + | × |
| × | – |
| ÷ | + |
| – | ÷ |
New equation after replacing symbols-
146 ÷ 2 × 3 – 123 - 5 × 2
According to the BODMAS rule-
⇒ 73 × 3 – 123 – 5 × 2
⇒ 219 – 123 – 10
⇒ 86
Hence, Option (4) is correct.
By interchanging the two numbers 20 and 36, which of the following equations will be correct?
I. 55 + 42 – 36 × 20 ÷ 9 = 17
II. 20 ÷ 2 × 36 + 81 – 41 = 400
Answer (Detailed Solution Below)
Logical Puzzle Question 8 Detailed Solution
Download Solution PDFBODMAS Table:
Given equation I: 55 + 42 – 36 × 20 ÷ 9 = 17
Now, if '20 and 36' are interchanged, then:
⇒ 55 + 42 – 20 × 36 ÷ 9 = 17
⇒ 55 + 42 – 20 × 4 = 17
⇒ 55 + 42 – 80 = 17
⇒ 97 – 80 = 17
= 17 = 17.
LHS = RHS.
Given equation II: 20 ÷ 2 × 36 + 81 – 41 = 400
Now, if '20 and 36' are interchanged, then:
⇒ 36 ÷ 2 × 20 + 81 – 41 = 400
⇒ 18 × 20 + 81 – 41 = 400
⇒ 360 + 81 – 41 = 400
⇒ 441 – 41 = 400
= 400 = 400
LHS = RHS.
Here, Both I and II are correct equation after interchanging the given symbol.
Hence, the correct answer is "Option 3".
Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis.
If 45 × 72 = 9, 40 × 51 = 7, then 12 × 40 = ?Answer (Detailed Solution Below)
Logical Puzzle Question 9 Detailed Solution
Download Solution PDFThe pattern followed is:
Sum of first two numbers is divided by 13.
45 + 72 = 117, 117 ÷ 13 = 9
40 + 51 = 91, 91 ÷ 13 = 7
Similarly,
12 + 40 = 52, 52 ÷ 13 = 4
Therefore, ‘4’ is the correct answer.If 9 × 6 = 45, 7 × 4 = 33 and 6 × 4 = 20, then what is the value of 5 × 3?
Answer (Detailed Solution Below)
Logical Puzzle Question 10 Detailed Solution
Download Solution PDFThe logic here is as follows,
92 – 62 = 81 – 36 = 45
72 – 42 = 49 – 16 = 33
62 – 42 = 36 – 16 = 20
Similarly,
52 – 32 = 25 – 9 = 16
Thus, the value of 5 × 3 = 16.Which of the two signs should be interchanged in order to make the following equation correct?
21 + 5 × 2 – 21 ÷ 3 = 12Answer (Detailed Solution Below)
Logical Puzzle Question 11 Detailed Solution
Download Solution PDFGiven Equation: 21 + 5 × 2 – 21 ÷ 3 = 12
1) + and -
After interchanging signs
LHS = 21 - 5 × 2 + 21 ÷ 3 = 21 – 10 + 7 = 18 ≠ RHS
2) – and ÷
After interchanging signs
LHS = 21 + 5 × 2 ÷ 21 – 3 = 21 + 0.476 – 3 = 18. 476 ≠ RHS
3) – and ×
After interchanging signs
LHS = 21 + 5 - 2 × 21 ÷ 3 = 21 + 5 – 14 = 12 = RHS
4) × and ÷
After interchanging signs
LHS = 21 + 5 ÷ 2 – 21 × 3 = 21 + 2.5 – 63 = - 39.5 ≠ RHS
Hence, “– and ×” is the correct answer.If '+' means 'division', '-' means 'addition', '×' means 'subtraction' and '÷' means 'multiplication', what will be the value of the following expression?
[{(48 × 20) - (2 ÷ 4)} + (2 - 4)] ÷ 2
Answer (Detailed Solution Below)
Logical Puzzle Question 12 Detailed Solution
Download Solution PDFThe logic followed is:
Decoding the information,
|
Symbol |
+ |
- |
× |
÷ |
|
Meaning |
÷ |
+ |
- |
× |
Given the equation: [{(48 × 20) - (2 ÷ 4)} + (2 - 4)] ÷ 2 = ?
After replacing the signs from left to right and using the BODMAS rule,
= [{(48 - 20) + (2 × 4)} ÷ (2 + 4)] × 2
= [{(28) + (8)} ÷ (6)] × 2
= [{36} ÷ (6)] × 2
= [6] × 2
= 12
Hence, the correct answer is "12".
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
175 ∶ 210 ∶∶ 310 ∶ 372 ∶∶ 295 ∶ ?
Answer (Detailed Solution Below)
Logical Puzzle Question 13 Detailed Solution
Download Solution PDFThe logic followed here is:
Logic: (First number ÷ 5) × 6 = Second number
- 175 ∶ 210 → (175 ÷ 5) × 6 = 35 × 6 = 210
- 310 ∶ 372 → (310 ÷ 5) × 6 = 62 × 6 = 372
Similarly,
- 295 ∶ ? → (295 ÷ 5) × 6 = 59 × 6 = 354
Hence, '354' is the correct answer.
In an imaginary mathematical system, symbol '–' stands for addition, symbol '+' stands for division, symbol '×' stands for subtraction, and symbol '÷' stands for multiplication. All other rules of mathematics are the same as in the existing system. What is the value of the following expression?
240 × 72 + 8 ÷ 24 – 6
Answer (Detailed Solution Below)
Logical Puzzle Question 14 Detailed Solution
Download Solution PDFBODMAS rule:
Decoding the information,
|
Symbol |
Meaning |
|
- |
Addition (+) |
|
+ |
Division (÷) |
|
× |
Subtraction (-) |
|
÷ |
Multiplication (×) |
Given:
240 × 72 + 8 ÷ 24 – 6
After replacing the signs from left to right and using the BODMAS rule,
240 - 72 ÷ 8 × 24 + 6
= 240 - 9 × 24 + 6
= 240 - 216 + 6
= 246 - 216
= 30
Hence, “30” is the correct answer.If the value of '12 - 3' is equal to 36, the value of '21 + 3' is equal to 7, the value of '17 × 2' is equal to 19 and the value of '15 ÷ 3' is equal to 12, then Find the value of the following code.
144 ÷ 315 + 35 × 16 - 17= ?
Answer (Detailed Solution Below)
Logical Puzzle Question 15 Detailed Solution
Download Solution PDFBODMAS:
Given:
12 - 3 = 36
21 + 3 = 7
17 × 2 = 19
15 ÷ 3 = 12
| Symbol | + | - | ÷ | × |
| Meaning | ÷ | × | - | + |
Given equation: 144 ÷ 315 + 35 × 16 - 17
After change the sign, equation is:
⇒ 144 - 315 ÷ 35 + 16 × 17
⇒ 144 - 9 + 16 × 17
⇒ 144 - 9 + 272
⇒ 416 - 9
⇒ 407
Hence, the correct answer is "407".