What are the missing numbers a, b, c, d, x, y in the following factor tree?

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a = 18380, b = 2, c = 13, d = 0, x = 0, y = 13

a = 18380, b = 2, c = 1365, d = 3, x = 5, y = 13

a = 183, b = 2, c = 13, d = 3, x = 5, y = 13

a = 18380, b = 200, c = 1365, d = 300, x = 5, y = 13

answer is B.

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Detailed Solution

Given,

We can see from the factor tree,

7 × y = 91 ⇒ y = 917 ⇒ y = 13

And

x × 91 = 455 ⇒ x = 45591 ⇒ x = 5

Also,

d × 455 = c

For value of c,

3 × c = 4095 ⇒ c = 40953 ⇒ c = 1365

So,

d × 455 = c ⇒ d × 455 = 1365 ⇒ d = 1365455 ⇒ d = 3

Now,

b × 9190 = a

For value of a,

2 × a = 36760 ⇒ a = 367602 ⇒ a = 18380

So,

b × 9190 = a ⇒ b × 9190 = 18380 ⇒ b = 183809190 ⇒ b = 2

Therefore, a = 18380, b = 2, c = 1365, d = 3, x = 5, y = 13.
Hence, the correct option is 2.

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