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.)

Given sets:

- (5, 25)
- (2, 5, 10)

Options:

1. (3, 3, 9)
2. (4, 4, 20)
3. (7, 3, 14)
4. (9, 3, 26)

Question

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.)

Given sets:

- (5, 25)
- (2, 5, 10)

Options:

1. (3, 3, 9)
2. (4, 4, 20)
3. (7, 3, 14)
4. (9, 3, 26)

Accepted Answer

**Solution:**

1. Analyze the given sets:

- (5, 25): Here, the second number is the square of the first number, i.e., $5^2 = 25$.

- (2, 5, 10): Here, the third number is the product of the first and second numbers, i.e., $2 	imes 5 = 10$.

2. Check each option to see if the same relation holds:

- (3, 3, 9): Check if third number equals first number times second number:
  $$3 	imes 3 = 9$$
  This matches the pattern.

- (4, 4, 20): Check if $4 	imes 4 = 20$?
  $$4 	imes 4 = 16 
eq 20$$
  So, this does not match.

- (7, 3, 14): Check if $7 	imes 3 = 14$?
  $$7 	imes 3 = 21 
eq 14$$
  So, this does not match.

- (9, 3, 26): Check if $9 	imes 3 = 26$?
  $$9 	imes 3 = 27 
eq 26$$
  So, this does not match.

**Answer:** (3, 3, 9)

Answer

Answer

Answer