The rectangle represents a set of calculations that are common across all the given equations. Identify the calculations involved and solve the third equation on the same basis:
To solve this problem, we need to identify the pattern and calculations involved in the given equations and apply the same logic to the third equation.
Let's analyze the given pattern:
- \(36 \, \square \, 81 = 6; 9; 15\)
- \(64 \, \square \, 144 = 8; 12; 20\)
From the above equations, we observe:
- The numbers \(6\) and \(8\) are derived from the square root of the first number: \(\sqrt{36} = 6\), \(\sqrt{64} = 8\).
- The numbers \(9\) and \(12\) are derived from the square root of the second number: \(\sqrt{81} = 9\), \(\sqrt{144} = 12\).
- The numbers \(15\) and \(20\) are the sums of these roots: \(6 + 9 = 15\), \(8 + 12 = 20\).
Now, applying the same pattern to the third equation:
- \(49 \, \square \, 100 = ?\;;\;?\;;\;?\)
- Calculate the square root of \(49\): \(\sqrt{49} = 7\).
- Calculate the square root of \(100\): \(\sqrt{100} = 10\).
- Sum these roots: \(7 + 10 = 17\).
Thus, the solution to the third equation is 7; 10; 17.
This matches the given correct answer 7; 10; 17.
Similar Questions
- Out of the number-pairs listed below, three are alike in the way they are related to each other. Select the odd one.
- Observe the four number-pairs listed below. In three of them, the numbers are related to each other by a specific logic. Select the number pair that does not follow the same logic as the other three.
- If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 9524367, then how many digits will appear more than once in the new number thus formed?
- This question is based on the five, three-digit numbers given below.
(Left) 538 745 317 853 276 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
(NOTE: All operations to be done from left to right.)
What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number? - Select the option that is related to the third number in the same way as the second number is related to the first number.
2 : 32 :: 4 : ? - Select the number from among the given options that can replace the question mark (?) in the following series.
12496, 12448, 12424, ? - Study the given pattern carefully and select the numbers from among the given options that can replace the question marks (?).
25 ◆ 64 = 5 ; 8 ; 13
144 ◆ 36 = 12 ; 6 ; 18
121 ◆ 81 = ? ; ? ; ? Select the option that is similar to the following numbers in a certain manner.
361, 729, 841
- Select the number from the given options, that has the same relation to the fifth number as the second and fourth numbers have with the first and third numbers respectively.
15 : 1365 :: 27 : 2817 :: 43 : ? 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 their 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.)
(27, 12, 322)
(24, 13, 310)
Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
