Correct Answer - Option 3 : 210
Given:
Average of 3-digit numbers 235, 2a5, a35, 63a and 116 is 333
Formula used:
Sum of the value of numbers = Average of numbers × number of numbers
Calculation:
According to question,
Total value of number = 333 × 5
⇒ 235 + 2a5 + a35 + 63a + 116 = 1665
⇒ 2a5 + a35 + 63a = 1314
Now, we have to think of that number in which the unit digit number is 4 because the unit digit of RHS is 5 and the unit digit of LHS is 'a'
So, we have to assume ‘a’ = 4 because in 1314 the last number is 4
Now if we take a = 4, we get
(2a5 = 245), (a35 = 435), (63a = 634)
⇒ (245 + 435 + 634) = 1314
Here we can see that, a = 4 satisfies the equation
Now, (a – 1) = 4 – 1 = 3
⇒ (a + 3) = 4 + 3 = 7
⇒ (a + 6) = 4 + 6 = 10
∴ The product of 3, 7, 10 is 210.
