(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).
2 - 5
10 - 101
To solve this logical reasoning problem, we begin by identifying the pattern in the number-pairs given and then apply this pattern to identify the correct option.
Let's analyze the given number-pairs:
- 2 - 5: To transform 2 into 5, we notice that \(2^2 + 1 = 4 + 1 = 5\).
- 10 - 101: To transform 10 into 101, we identify that \(10^2 + 1 = 100 + 1 = 101\).
The operation observed is: square the first number and add 1 to it.
Now, let's apply this operation to each option:
- 5 - 26: \(5^2 + 1 = 25 + 1 = 26\). This matches the pattern.
- 4 - 18: \(4^2 + 1 = 16 + 1 = 17\). This does not match the second number in the pair.
- 9 - 80: \(9^2 + 1 = 81 + 1 = 82\). This does not match the second number in the pair.
- 8 - 63: \(8^2 + 1 = 64 + 1 = 65\). This does not match the second number in the pair.
Based on the calculation, the correct option is 5 - 26 as it follows the identified pattern of squaring the number and adding 1.
Similar Questions
Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.
ARH: YOJ
SFP: QCRFIGH is related to KNLM in a certain way based on the English alphabetical order. In the same way, RUST is related to WZXY. To which of the following options is HKIJ related, following the same logic?
- MXEL is related to OZHP in a certain way based on the English alphabetical order. In the same way, VRHB is related to XTKF. To which of the given options is QOJA related, following the same logic?
- Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given 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 to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
3 – 9 – 81 – 66 ; 5 – 25 – 625 – 610 - 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. 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.)
(10, 5, 60)
(9, 6, 64) - Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
FPD : ENB
RUN : QSL - In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. 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. 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.)
112 - 100
34 - 22 In the following number-pairs, the second number is obtained by applying certain mathematical operation(s) 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 their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 98 : : 196 : Y- HEVO is related to WTKD in a certain way based on the English alphabetical order. In the same way, PMDW is related to EBSL. To which of the given options is IFWP related, following the same logic?
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. 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)
(8, 168, 7)
(9, 243, 9)
Important Questions from Analogy
Select the option that is related to the third term in the same way as the second term is related to the first term.
Day: Night :: Morning : ?Select the option that is related to the third term in the same way as the second term is related to the first term.
India : Country :: Delhi : ..........Select the option that is related to the third term in the same way as the second term is related to the first term.
MATE: NATE :: FATE: ?Select the option that is related to the third term in the same way as the second term is related to the first term.
13 : 196 :: 9 : .......
Select the related word pair from the given alternatives. Afghanistan : Kabul :: ....... : .........
