Logical Puzzle MCQ Quiz - Objective Question with Answer for Logical Puzzle - Download Free PDF
Last updated on Jun 23, 2025
Latest Logical Puzzle MCQ Objective Questions
Logical Puzzle Question 1:
What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged?
14 + 6 × 3 ÷ 7 - 2 = ?
Answer (Detailed Solution Below)
Logical Puzzle Question 1 Detailed Solution
BODMAS Table:
Given equation: 14 + 6 × 3 ÷ 7 - 2 = ?
Now, if ‘+’ and ‘-‘ interchanged and ‘×' and '÷’ are interchanged, then:
⇒ 14 - 6 ÷ 3 × 7 + 2 = ?
⇒ 14 - 2 × 7 + 2 = ?
⇒ 14 - 14 + 2 = ?
⇒ 16 - 14 = 2
Hence, the correct answer is "Option 4".
Logical Puzzle Question 2:
Select the correct combination of mathematical signs to replace the * signs and balance the given equation.
13 * 7 * 12 * 4 * 15 * 65
Answer (Detailed Solution Below)
Logical Puzzle Question 2 Detailed Solution
Let's check each option,
1) −, +, ÷, ×, =
→ 13 - 7 + 12 ÷ 4 × 15 = 65
→ 13 - 7 + 3 × 15 = 65
→ 13 - 7 + 45 = 65
→ 58 - 7 = 65
→ 51 ≠ 65
→ LHS ≠ RHS
2) +, ÷, ×, +, =
→ 13 + 7 ÷ 12 × 4 + 15 = 65
→ 13 + 7/12 × 4 + 15 = 65
→ 13 + 7/3 + 15 = 65
→ 91/3 ≠ 65
→ LHS ≠ RHS
3) +, +, ÷, ×, =
→ 13 + 7 + 12 ÷ 4 × 15 = 65
→ 13 + 7 + 3 × 15 = 65
→ 13 + 7 + 45 = 65
→ 65 = 65
→ LHS = RHS ⇒ Satisfies the equation.
4) +, ×, ÷, ×, =
→ 13 + 7 × 12 ÷ 4 × 15 = 65
→ 13 + 7 × 3 × 15 = 65
→ 13 + 7 × 45 = 65
→ 13 + 315 = 65
→ 328 ≠ 65
→ LHS ≠ RHS
Hence, the correct answer is "+, +, ÷, ×, =".
Logical Puzzle Question 3:
Read the given statement and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions is true based on the given statement.
Statement: D ≥ W > R = S ≥ O > N
Conclusions:
I. R = D
II. R < D
Answer (Detailed Solution Below)
Logical Puzzle Question 3 Detailed Solution
Given statement: D ≥ W > R = S ≥ O > N
According to the given information:
D is greater than or equal to W, W is greater than R, R is equal to S, S is greater than or equal to O, and O is greater than N.
Conclusions:
I. R = D → False (D ≥ W > R; D > R; R is smaller than D, so it is false)
II. R < D → True (D ≥ W > R; D > R; D is greater than R, so it is true)
Hence, the correct answer is "Only II is true".
Logical Puzzle Question 4:
A statement is given followed by two conclusions. Find which conclusion(s) is/are true based on the given statement.
Statement:
R < A ≤ M < X > Z > I = L ≥ E
Conclusions:
I: X > L
II: E < M
Answer (Detailed Solution Below)
Logical Puzzle Question 4 Detailed Solution
Given statement : R < A ≤ M < X > Z > I = L ≥ E
Conclusions:
I: X > L → True (As X > Z > I = L → X > L)
II: E < M → False (As M < X > Z > I = L ≥ E → No relation given between E and M)
∴ Here, Only conclusion I is true.
Hence, the correct answer is "Only I".
Logical Puzzle Question 5:
If L stands for addition, M for subtraction, N for multiplication, then what is the value of (10 N 5) L (4 N 4) M 6?
Answer (Detailed Solution Below)
Logical Puzzle Question 5 Detailed Solution
The given equation is
(10 N 5) L (4 N 4) M 6
Convert the above equation into a mathematical form.
(10 × 5) + (4 × 4) - 6
Now, solve the equation using the 'BODMAS' rule.
The 'BODMAS' rule is
Therefore, the equation becomes
⇒ 50 + 16 - 6
⇒ 60
Hence, the correct answer is 60.
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".