(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.)
The logic is based on the cube of a number plus 1. Let's analyze the given relationships:
- 4 is related to 125: \(4^3 + 1 = 64 + 1 = 65 \neq 125\)
- 4 is related to 125: \(3^3 + 1 = 27 + 1 = 28 \neq 125\)
- Considering the next cube number: \(5^3 = 125\), so the relationship could be \(n \to (n+1)^3\)
- Let's test this with the second relationship: 8 is related to 729. \( (8+1)^3 = 9^3 = 729 \). This confirms the logic.
Now, let's apply this logic to find the number related to 1728. We need to find a number \(n\) such that \((n+1)^3 = 1728\).
- We find the cube root of 1728: \(\sqrt[3]{1728} = 12\)
- Therefore, \(n+1 = 12\), which means \(n = 11\).
So, 11 is related to 1728 following the same logic.
Similar Questions
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?
4 × 3 ÷ 6 + 2 - 8 = 10 + 2 × 3 ÷ 5 - 18
- Which of the following equations is correct when the numbers 12 and 6 are interchanged and the signs ÷ and + are interchanged?
Which two numbers (not digits) and which two signs should be interchanged to yield the value ‘zero’ for the following expression?
13 + 65 ÷ 2 × 8 – 21
If 'A' stands for '+', 'B' stands for '-', 'C' stands for 'x' and 'D' stands for '÷', what will come in place of the question mark in the following equation?
7 C 9 B 35 D 5 A 3 = ?
Which option represents the correct order of the given words as they would appear in an English dictionary?
1. Mimic
2. Million
3. Minaret
4. Millstone
5. Mimicry
- At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 42 items. How many people were present at the banquet?
- If + = -, - = *, * = /, / = +;then,
what is 8+ (3-2)* 4/1? If \(+\) means \(-\), \(\div\) means \(+\), \(-\) means \(\times\), and \(\times\) means \(\div\), then,
what is \(25 - 3 \div 5 + 10\)?Which two numbers (not digits) and which two signs should be interchanged to make the following equation correct?
33 – 15 × 4 + 9 ÷ 11 = 6
What will come in place of the question mark (?) in the following equation if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
3 ÷ 4 × 2 − 1 + 5 = ?
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
