\(19384: 31506 :: 28493:?\)
40615
Number Analogy Explained
This question is a type of number analogy problem. In such problems, we are given a pair of numbers that share a specific mathematical or logical relationship. We need to identify this relationship and then apply the same logic to another number to find the missing number in the second pair.
The given analogy is:
\(19384 : 31506 :: 28493 : ?\)
Finding the Logical Pattern
Let's examine the relationship between the first pair of numbers, \(19384\) and \(31506\). We will look at the digits of the first number and see how they transform into the digits of the second number.
Consider the digits of \(19384\) one by one and compare them with the digits of \(31506\) at the corresponding positions:
- First digit: The digit \(1\) in \(19384\) corresponds to the digit \(3\) in \(31506\). The operation is \(1 + 2 = 3\).
- Second digit: The digit \(9\) in \(19384\) corresponds to the digit \(1\) in \(31506\). The operation is \(9 + 2 = 11\). When results exceed \(9\), we use the unit digit, which is equivalent to applying modulo \(10\) arithmetic: \(11 \pmod{10} = 1\).
- Third digit: The digit \(3\) in \(19384\) corresponds to the digit \(5\) in \(31506\). The operation is \(3 + 2 = 5\).
- Fourth digit: The digit \(8\) in \(19384\) corresponds to the digit \(0\) in \(31506\). The operation is \(8 + 2 = 10\). Using modulo \(10\) arithmetic, \(10 \pmod{10} = 0\).
- Fifth digit: The digit \(4\) in \(19384\) corresponds to the digit \(6\) in \(31506\). The operation is \(4 + 2 = 6\).
The identified pattern is that each digit of the first number is increased by \(2\). If the sum of a digit and \(2\) is greater than \(9\), the unit digit of the sum is taken (i.e., modulo \(10\) operation is applied).
Applying the Pattern to \(28493\)
Now, we apply the same rule (add \(2\) to each digit, using modulo \(10\) for results greater than \(9\)) to the second number, \(28493\), to find the missing number.
Let's process each digit of \(28493\):
- First digit: \(2 + 2 = 4\).
- Second digit: \(8 + 2 = 10\). Applying modulo \(10\), the result is \(0\).
- Third digit: \(4 + 2 = 6\).
- Fourth digit: \(9 + 2 = 11\). Applying modulo \(10\), the result is \(1\).
- Fifth digit: \(3 + 2 = 5\).
Combining these resulting digits in order, we obtain the number \(40615\).
Missing Number Identification
We compare our calculated result, \(40615\), with the given options:
- Option 1: \(39615\)
- Option 2: \(41706\)
- Option 3: \(40617\)
- Option 4: \(40615\)
Our calculated result matches Option 4.
Similar Questions
- In the following question, a pair of words is given in capital letters, followed by five answer options consisting of word pairs. Choose the option in which the relationship between the two words most closely matches the relationship between the given pair. MAVERICK : CONFORMITY
1. Iconoclast: Tradition
2. Dilettante: Expertise
3. Ascetic: Indulgence
4. Demagogue: Populace
5. Altruist: Selfishness Select the triad from among the given options that is analogous to the given triad.
668 – 776 – 992
- In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic relationship with the given pair. Choose the most appropriate option from the four choices given below.
Surgeon: Scalpel :: Sculptor : ? - In each of the following question, a pair of words (letter sequences) is given on the left-hand side of the double colon (::), which follows a certain alphabetical pattern. Identify the logic in the first pair and apply the same logic to the third word to find the correct corresponding word from the options.
RED : RFE :: TOP:? Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must NOT be related to each other based on the number of letters/number of consonants/vowels in the word)
Sugar: Diabetes :: Fat :Select the pair from among the given options that is analogous to the given pair.
12: 141
8: 61
(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.)
- In each of the following questions, a pair of words (letter sequences) is given on the left-hand side of the double colon (::), which follows a certain alphabetical pattern. Identify the logic in the first pair and apply the same logic to the third word to find the correct corresponding word from the options.
BOX: ANT:: FIX: ? If △ : 3 : : □ : ? : : ⬠ : 5
- In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic relationship with the given pair. Choose the most appropriate option from the four choices given below.
Painter: Canvas :: Author:? - Choose the missing number in the following analogy.
\(4:16::6:?\)
Important Questions from Reasoning Analogy
Directions for the following 8 (eight) items: Read the following six passages and answer the items that follow each passage. Your answers to these items should be based on the passages only.
Passage –1 Low-end IoT (Internet of Things) devices are cheap commodity items: addressing security would add to the cost. This class of items is proliferating with new applications; many home appliances, thermostats, security and monitoring devices and personal convenience devices are part of the IoT. So are fitness trackers, certain medical implants and computer-like devices in automobiles. The IoT is expected to expand exponentially — but new security challenges are daunting.
Which one of the following statements is the most logical and rational inference that can be made from the above passage?
With the digital phenomenon restructuring most social sectors, it is little surprise that global trade negotiations are now eyeing the digital area in an attempt to pre-emptively colonise it. Big Data is freely collected or mined from developing countries, and converted into digital intelligence in developed countries. This intelligence begins to control different sectors and extract monopoly rents. A large foreign company providing cab service, for instance, is not a work of cars and drivers, it is digital intelligence about commuting, public transport, roads, traffic, city events, presonal behavioural characteristics of commuters and driver and so on.
Which one of the following is the most logical and rational corollary to the above passage?
With the digital phenomenon restructuring most social sectors, it is little surprise that global trade negotiations are now eyeing the digital area in an attempt to pre-emptively colonise it. Big Data is freely collected or mined from developing countries, and converted into digital intelligence in developed countries. This intelligence begins to control different sectors and extract monopoly rents. A large foreign company providing cab service, for instance, is not a work of cars and drivers, it is digital intelligence about commuting, public transport, roads, traffic, city events, presonal behavioural characteristics of commuters and driver and so on.
Which of the following is most definitively implied by the above passage?
The rural poor across the world, including India, have contributed little to human-induced climate change, yet they are on the frontline in coping with its effects. Farmers can no longer rely on historical averages for rainfall and temperature, and the more frequent and extreme weather events, such as droughts and floods, can spell disaster. And there are new threats, such as sea level rise and the impact of melting glaciers on water supply. How significant are small farms? As many as two billion peopre worldwide depend on them for their food and livelihood. Small-holder farmers in India produce 41 percent of the country's food grains, and other food items that contribute to local and national food security.
What is the most logical and rational Corry to the above passage?
Consider the following sequence that follows some arrangement : c_accaa_aa_bc_b The letters that appear in the gaps are
