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 their 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.)

(4, 35, 11)

(1, 82, 61)

• A. (13, 53, 20)
• B. (8, 33, 15)
• C. (2, 53, 6)
• D. (21, 310, 23)

Answer 1

Answer:

A. (13, 53, 20)

We look for a single relation connecting all three numbers in each set.

Given sets:

• (4, 35, 11)

• (1, 82, 61)

• Find the rule

Check whether the middle number can be obtained from the first and third:

$4 + 11 + 20 = 35$
$1 + 61 + 20 = 82$
The relation is:
$\boxed{\text{Middle number} = \text{First} + \text{Third} + 20}$

Check the options

1. (13, 53, 20)
   $13 + 20 + 20 = 53 \quad \checkmark$

2. (8, 33, 15)
   $8 + 15 + 20 = 43 \neq 33$

3. (2, 53, 6)
   $2 + 6 + 20 = 28 \neq 53$

4. (21, 310, 23)
   $21 + 23 + 20 = 64 \neq 310$

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