Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (6, 13, 78) (5, 22, 110)
(8, 12, 96)
Analysing Number Set Relationships
The question asks us to identify a set of numbers from the given options that follows the same relationship pattern as the two example sets: (6, 13, 78) and (5, 22, 110).
A crucial rule is provided: "Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits." This means we should treat numbers like 6, 13, 78, etc., as single entities for calculations like addition, subtraction, multiplication, division, etc.
Identifying the Pattern
Let's examine the relationship between the numbers in the first given set (6, 13, 78). We need to find an operation involving the first two numbers (6 and 13) that results in the third number (78).
- Addition: \(6 + 13 = 19\). This is not 78.
- Subtraction: \(13 - 6 = 7\). This is not 78.
- Multiplication: \(6 \times 13 = 78\). This matches the third number.
Now, let's verify this potential pattern (Number 1 \(\times\) Number 2 = Number 3) using the second set (5, 22, 110).
- Multiplication: \(5 \times 22 = 110\). This also matches the third number.
Therefore, the identified relationship or pattern is that the product of the first two numbers in the set equals the third number.
Evaluating the Options
We will now test each option to see which one fits the pattern: Number 1 \(\times\) Number 2 = Number 3.
| Option | Numbers (Num1, Num2, Num3) | Calculation (Num1 x Num2) | Result (Num3) | Match? |
| 1 | (7, 13, 90) | \(7 \times 13\) | \(91\) | No (\(91 \neq 90\)) |
| 2 | (24, 9, 206) | \(24 \times 9\) | \(216\) | No (\(216 \neq 206\)) |
| 3 | (8, 12, 96) | \(8 \times 12\) | \(96\) | Yes (\(96 = 96\)) |
| 4 | (8, 19, 162) | \(8 \times 19\) | \(152\) | No (\(152 \neq 162\)) |
Conclusion
Based on the analysis, only Option 3 follows the established pattern where the product of the first two numbers equals the third number.
Similar Questions
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
If ‘A’ stands for ‘\(\div \)', ‘B’ stands for ‘x', ‘C’ stands for ‘+', ‘D’ stands for ‘-', what will come in the place of the question mark '?' in the following equation?
225 B 15 A 15 C 125 D 225 = ?Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 3 - Operations on 3 such as adding /deleting /multiplying etc. to 3 can be performed, Breaking down 3 into | and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(144, 12, 6)
(210, 15, 7)Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 3 - Operations on 3 such as adding /deleting /multiplying etc. to 3 can be performed, Breaking down 3 into | and 3 and then performing mathematical operations on | and 3 is not allowed.)
(9, 6, 56)
(7,8, 58)If A means +, B means -, C means x, D means \(\div \), then what will come in place of the question mark (?) in the following equation?
18 D 2 A 4 C 5 B 15 = ?If 'A' stands for '+', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '-', then what will come in place of the question mark (?) in the following equation?
47 D 25 A 5 C 2 B 9 = ?
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
22 - 5 ÷ 3 + 12 × 3 = ?
Which two numbers should be interchanged to make the given equation correct?
186 - 82 + (129 ÷ 3) − 6 × 8 + (31 - 19) × 2 = 85
(Note: Interchange should be done of entire number and not individual digits of a given number.)
Important Questions from Mathematical Operations
Which two numbers (not digits) should be interchanged to make the given equation correct?
21 × 8 – 18 + (64 ÷ 2) + 32 = 64
The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged. What are those two numbers (not digits) and the two signs?
9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
