Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
486:9::464:?::352:5
- A8
- B9
- C6
- D7
Solution & Step-by-step Explanation
Let's analyze the relationship pattern between the pairs:
First pair: 486:9
Divide the first two digits by the third digit:
6
48
=8
Then add 1:
8+1=9
Third pair: 352:5
Divide the first two digits by the third digit:
2
35
=17.5(This pattern doesn’t match perfectly. Let’s find another logic.)
Alternative Logic:
Let's test: (First digit × Second digit) ÷ Third digit?
For 486→(4×8)÷6=
6
32
(Not an integer)
Let's look at the sum of digits or quotient:
54
486
=9? No, 9×54=486
Let's check the third pair:
5
352
→not divisible.
Let's try: (First two digits) − (something)?
Let's try another logic:
For 486:9
9
486
=54→5+4=9
For 352:5
5
352
→not an integer.
Let's check: (Sum of digits)
4+8+6=18→
2
18
=9
Let's check for 352:5
3+5+2=10→
2
10
=5
The logic is: Second Number=
2
Sum of digits of First Number
Let's apply this logic to 464:
Sum of digits=4+6+4=14
Required Number=
2
14
=7
First pair: 486:9
Divide the first two digits by the third digit:
6
48
=8
Then add 1:
8+1=9
Third pair: 352:5
Divide the first two digits by the third digit:
2
35
=17.5(This pattern doesn’t match perfectly. Let’s find another logic.)
Alternative Logic:
Let's test: (First digit × Second digit) ÷ Third digit?
For 486→(4×8)÷6=
6
32
(Not an integer)
Let's look at the sum of digits or quotient:
54
486
=9? No, 9×54=486
Let's check the third pair:
5
352
→not divisible.
Let's try: (First two digits) − (something)?
Let's try another logic:
For 486:9
9
486
=54→5+4=9
For 352:5
5
352
→not an integer.
Let's check: (Sum of digits)
4+8+6=18→
2
18
=9
Let's check for 352:5
3+5+2=10→
2
10
=5
The logic is: Second Number=
2
Sum of digits of First Number
Let's apply this logic to 464:
Sum of digits=4+6+4=14
Required Number=
2
14
=7