Question

Select the set in which the mumbers are related in the same way as are the numbers of the following set.
(9, 35, 16)
a)(16, 50, 64)
b)(25, 30, 4)
c)(36, 55, 25)
d)(81, 65, 36)
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Answer 1

Answer:

the answer is (c)

Step-by-step explanation:

let any natural number be 'x'

the 1st and the 3rd are squares of any natural number .

if those no are added and multiplied by 5 then we get middle number

c) 1st term 36 = 6 square

3rd term 25 = 5 square

5 + 6 × 5 = 55

Answer 2

Given that,

The given set is,

$9, 35, 16$

In this set,

The first digit is square of 3 and third digit is square of 4.

If those number are added and multiplied by 5 then we get middle number.

$(3+4)\times 5=35$

We need to find which the numbers are related in the same way as are the numbers of the following set

Using formula for all sets

If those number are added and multiplied by 5 then we get middle number.

(a). (16,50,64)

Using same method

$(4+8)\times5=60$

This is not correct.

(b). (25,30,4)

Using same method

$(5+2)\times5=35$

This is not correct.

(c). (36,55,25)

Using same method

$(6+5)\times5=55$

This is correct.

(d). (81,65,36)

Using same method

$(9+6)\times5=75$

This is not correct.

Hence, The numbers are related in the same way is (36, 55, 25)

(c) is correct option.