Question

Which set is similar to the given set (21,51,15)
Options are (21,30,51)
(21,35,41)
(31,51,42)
(21,91,35)
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Answer 1

Answer :

The given set is (21, 51, 15), where

21 = 3 × 7,
51 = 3 × 17
15 = 3 × 5

i.e., the numbers are multiple of 3.

The only set from the given options is found (21, 30, 51), whose numbers 21, 30 and 51 are divisible by 3.

[Since, 21 = 3 × 7, 30 = 3 × 10 and 51 = 3 × 17]

Hence, the similar set is (21, 30, 51).

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Answer 2

(21, 30, 51) is similar to the given set (21, 51, 15).

Step-by-step explanation:

Here, we investigate into the given set (21, 51, 15) to find a rule which will be applicable for another set.

• 21 = 3 × 7
• 51 = 3 × 17
• 15 = 3 × 5

So, we see that 21, 51 and 15 are multiplies of 3 and thus our required set must fulfill similar rule.

1. 21 = 3 × 7, 30 = 3 × 10, 51 = 3 × 17 (multiples of 3)
2. 21 = 3 × 7, 35 = 5 × 7, 41 = 1 × 41 (not all multiples of 3)
3. 31 = 1 × 31, 51 = 3 × 17, 42 = 3 × 14 (not all multiples of 3)
4. 21 = 3 × 7, 91 = 7 × 13, 35 = 5 × 7 (not all multiples of 3)

So, clearly (21, 30, 51) is the required set.