Question

Using divisibility tests , determine which of following numbers are divisible by 6 :
(a) 275
(b) 990​

Answer 1

Correct option is

B

34 cm

Given PT=30cm

OT is the radius of a cicle 

therefore OT will be half of given diameter 

OT = 16cm 

∠OTP = 90∘  (tangent is perpendicular to radius at point of contact)

now apply pythoguras theorem to 

OP2=OT2+TP2

OP2=162+302

OP=1156

OP=34

So answer will be option B.

Answer 2

Heya mate! Here's your Answer!

For a number to be divisible by 6, it should be divisible by BOTH 2 and 3 :)

Answer:

(a) Not divisible by 6

(b) Divisible by 6

Explanation:

(a)275

• Divisibility by 2 - The number is not divisible by 2 because the number of the last digit(5) is not an even number but an odd number.
• Divisibility by 3 - The number is not divisible by 3 because the sum of the digits ( 2 + 7 + 5 = 14) is not divisible by 3.

        Therefore, the number 275 is not divisible by 6.

(b)990

• Divisibility by 2 - The number is divisible by 2 because the number of the last digit(0) is an even number
• Divisibility by 3 - The number is divisible by 3 because the sum of the digits (9 + 9 + 0 = 18) is divisible by 3 .

        Therefore, the number 990 is divisible by 6.

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