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Select the set in which the numbers are related in the same way as are the numbers of the given 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)
(2, 3, 35)
(11, 6, 1547)
- a)(4, 15, 3439)
- b)(10, 9, 1730)
- c)(7, 8, 2565)
- d)(3, 12, 1296)
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Select the set in which the numbers are related in the same way as ar...
Given Sets: (2, 3, 35) and (11, 6, 1547)
To find: Set related to the given sets in the same way.
Solution:
Let's try to find the logic between the numbers of the given sets.
Set (2, 3, 35):
- 3 – 2 = 1
- 35 – 3 = 32
So, the logic is: subtract the first number from the second number and add it to the third number to get the next number in the set.
Using this logic, we can find the next number in the set:
- 35 – 2 = 33
- 33 + 1 = 34
So, the set should be (2, 3, 35, 34).
Set (11, 6, 1547):
- 6 × 2 – 11 = 1
- 1547 ÷ 6 × 11 = 2831.8333, which is rounded off to 2832.
So, the logic is: multiply the second number by 2 and subtract the first number to get the first digit of the next number. Divide the third number by the product of the first and second number and multiply it by the second number to get the second digit of the next number.
Using this logic, we can find the next number in the set:
- 6 × 2 – 11 = 1
- 1547 ÷ 6 × 11 = 2831.8333, which is rounded off to 2832
- The next number cannot be found using the same logic.
Therefore, the set related to the given sets in the same way is (2, 3, 35, 34), which is option (a).
To find: Set related to the given sets in the same way.
Solution:
Let's try to find the logic between the numbers of the given sets.
Set (2, 3, 35):
- 3 – 2 = 1
- 35 – 3 = 32
So, the logic is: subtract the first number from the second number and add it to the third number to get the next number in the set.
Using this logic, we can find the next number in the set:
- 35 – 2 = 33
- 33 + 1 = 34
So, the set should be (2, 3, 35, 34).
Set (11, 6, 1547):
- 6 × 2 – 11 = 1
- 1547 ÷ 6 × 11 = 2831.8333, which is rounded off to 2832.
So, the logic is: multiply the second number by 2 and subtract the first number to get the first digit of the next number. Divide the third number by the product of the first and second number and multiply it by the second number to get the second digit of the next number.
Using this logic, we can find the next number in the set:
- 6 × 2 – 11 = 1
- 1547 ÷ 6 × 11 = 2831.8333, which is rounded off to 2832
- The next number cannot be found using the same logic.
Therefore, the set related to the given sets in the same way is (2, 3, 35, 34), which is option (a).
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Community Answer
Select the set in which the numbers are related in the same way as ar...
The pattern followed in the given sets is:
(First term)3 + (Second term)3 = Third term
Now we apply the pattern on the given sets:
(2, 3, 35)
(2)3 + (3)3 = 35
8 + 27 = 35
35 = 35
(11, 6, 1547)
(11)3 + (6)3 = 1547
1331 + 216 = 1547
1547 = 1547
Now we apply the pattern on the given options:
Option (a) (4, 15, 3439)
(4)3 + (15)3 = 3439
64 + 3375 = 3439
3439 = 3439
Option (b) (10, 9, 1730)
(10)3 + (9)3 = 1730
1000 + 729 = 1730
1729 ≠ 1730
Option (c) (7, 8, 2565)
(7)3 + (8)3 = 2565
343 + 512 = 2565
855 ≠ 2565
Option (d) (3, 12, 1296)
(3)3 + (12)3 = 1296
27 + 1728 = 1296
1755 ≠ 1296
Hence the correct answer is option (a).
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