(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.)
50 – 10 – 5 – 15 ; 200 – 40 – 20 – 30
Operations Pattern Identification
The question requires identifying a consistent mathematical operation sequence across two number sets. We need to find the rule that transforms the first number into the second, the second into the third, and the third into the fourth within each set.
Set 1 Operations: 50 – 10 – 5 – 15
- 50 to 10: The operation is division by 5. $\frac{50}{5} = 10$.
- 10 to 5: The operation is division by 2. $\frac{10}{2} = 5$.
- 5 to 15: The operation is addition of 10. $5 + 10 = 15$.
The pattern identified for Set 1 is: Divide by 5, Divide by 2, Add 10.
Set 2 Operations: 200 – 40 – 20 – 30
- 200 to 40: Applying 'Divide by 5': $\frac{200}{5} = 40$. Matches.
- 40 to 20: Applying 'Divide by 2': $\frac{40}{2} = 20$. Matches.
- 20 to 30: Applying 'Add 10': $20 + 10 = 30$. Matches.
Both sets confirm the sequence of operations: Divide by 5, Divide by 2, Add 10.
Options Verification Using Pattern
We check the options against the determined pattern: N1 $\div$ 5 = N2; N2 $\div$ 2 = N3; N3 + 10 = N4.
Option 1: 160 – 40 – 20 – 30
- 160 $\div$ 5 = 32. (Required N2 is 40). Incorrect.
Option 2: 120 – 60 – 30 – 40
- 120 $\div$ 5 = 24. (Required N2 is 60). Incorrect.
Option 3: 100 – 20 – 40 – 60
- 100 $\div$ 5 = 20. (Matches N2).
- 20 $\div$ 2 = 10. (Required N3 is 40). Incorrect.
Option 4: 400 – 80 – 40 – 50
- 400 $\div$ 5 = 80. (Matches N2).
- 80 $\div$ 2 = 40. (Matches N3).
- 40 + 10 = 50. (Matches N4).
Option 4 follows the exact sequence of operations identified from the given sets.
Important Questions from Analogy
Select the option that is related to the third number in the same way as the second number is related to the first number.
12 : 60 :: 16 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
16 : 144 :: 28 : ?
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)
(42, 18, 3)
(36, 14, 4)
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
ABILITY : LIBAYTI : : CHRONIC : ORHCCIN : : HEAVILY : ?
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(4, 50, 6)
(13, 128, 3)
