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)
(5,11, 57)
Number Sets Relation: Identifying the Pattern
The question asks us to find a relationship between the numbers in each set (a, b, c) and then select the option that follows the same relationship.
We are given two example sets:
- Set 1: (9, 6, 56)
- Set 2: (7, 8, 58)
The note reminds us to perform operations on the whole numbers directly, not on their individual digits.
Applying Operations to Find the Pattern
Let's examine the first set (9, 6, 56) to understand the potential pattern. Let the numbers be represented as '\(a\)', '\(b\)', and '\(c\)'. We need to find how '\(a\)' and '\(b\)' combine to produce '\(c\)'.
- Consider multiplication: \(9 \times 6 = 54\).
- Compare the result with '\(c\)': \(54\) is close to \(56\). The difference is \(56 - 54 = 2\).
- This suggests a possible pattern: \(a \times b + 2 = c\).
Now, let's test this pattern with the second set (7, 8, 58) to confirm.
- Here, \(a = 7\) and \(b = 8\).
- Applying the pattern: \(7 \times 8 + 2\).
- Calculation: \(7 \times 8 = 56\). Then, \(56 + 2 = 58\).
- This matches the third number '\(c\)' in the second set (\(58\)).
So, the consistent relationship identified between the numbers in the sets is '\(a \times b + 2 = c\)'.
Testing the Options with the Identified Pattern
We now need to apply the pattern '\(a \times b + 2 = c\)' to the given options to find the one that fits.
Option 1: (12, 10, 118)
- \(a = 12, b = 10\).
- \(12 \times 10 + 2 = 120 + 2 = 122\).
- This does not equal \(118\).
Option 2: (5, 11, 57)
- \(a = 5, b = 11\).
- \(5 \times 11 + 2 = 55 + 2 = 57\).
- This equals \(57\). This option matches the pattern.
Option 3: (8, 5, 40)
- \(a = 8, b = 5\).
- \(8 \times 5 + 2 = 40 + 2 = 42\).
- This does not equal \(40\).
Option 4: (6, 5, 40)
- \(a = 6, b = 5\).
- \(6 \times 5 + 2 = 30 + 2 = 32\).
- This does not equal \(40\).
Conclusion
The set (5, 11, 57) is the only option where the relationship \(a \times b + 2 = c\) holds true, consistent with the relationship observed in the given example sets (9, 6, 56) and (7, 8, 58).
Similar Questions
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)
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)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
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)
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 '+' means minus, '-' means multiplication, '÷' means plus, and 'x' means division, then solve the equation:
15 - 3 + 10 x 5 ÷ 5
