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 to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.
(15, 7, 100)
(25, 8, 195)
Analyze the Number Sets
We are given two example sets of numbers: (15, 7, 100) and (25, 8, 195). We need to find the common relationship between the first two numbers (let's call them A and B) and the third number (let's call it C) in each set.
Identify the Pattern
Let's examine the first set (15, 7, 100):
- Multiply the first two numbers: $15 \times 7 = 105$.
- To get the third number (100), we subtract 5 from the product: $105 - 5 = 100$.
Now let's check if this pattern holds for the second set (25, 8, 195):
- Multiply the first two numbers: $25 \times 8 = 200$.
- Subtract 5 from the product: $200 - 5 = 195$.
The identified pattern is consistent for both sets: C = (A \times B) - 5.
Test the Options
We will now apply this pattern to each given option:
- Option 1: (23, 6, 133)
- Check: $(23 \times 6) - 5 = 138 - 5 = 133$. This matches the third number.
- Option 2: (26, 4, 104)
- Check: $(26 \times 4) - 5 = 104 - 5 = 99$. This does not match 104.
- Option 3: (21, 11, 236)
- Check: $(21 \times 11) - 5 = 231 - 5 = 226$. This does not match 236.
- Option 4: (18, 10, 185)
- Check: $(18 \times 10) - 5 = 180 - 5 = 175$. This does not match 185.
Conclusion
Option 1 (23, 6, 133) is the only set where the numbers follow the relationship C = (A \times B) - 5, consistent with the given examples.
Important Questions from Number Based
- Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operations on the second number result in the third number and so on. Which of the given options follows the same set of operations as in question?
(NOTE – A two/three-digit number cannot be broken into individual digits for operations, e.g., if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)
12 – 26 – 46 – 70; 20 – 34 – 54 – 78 - Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operations on the second number result in the third number and so on. Which of the given options follows the same set of operations as in the question?
(NOTE – A two/three-digit number cannot be broken into individual digits for operations. E.g. if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)
5 – 20 – 60 – 120
8 – 32 – 96 – 192 - Select the set in which the numbers are related in the same way as are the numbers of the following sets.
5-7-9
11-13-15
(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) - Replace the question mark with an option that follows the same logic applied in the first pair.
$21027:12::32576:?$ Replace the question mark with an option that follows the same logic applied in the first pair.
58:40::86:?
