[edit: there's a mistake in this post; it should be (2t - 2), not (2t - 1), where the green-colored part is (and in any subsequent steps).] Let T total number of days taken by machine X to produce W widgets. Then Work done by x is 1 day is W/T Work done by machine y in 1 day = W/(T - 2). Combined w...

Another way:

Since the sum is 350, it should be a multiple of 10. As we have only 7 and 77 in the series, we can write it as
x * 7 + y * 77 = 350.

77 = 7 * 11
as 7 and 11 are both prime numbers, sum can be 350 when the x + y is a multiple of 10.
check the answers.
Only possible solution is 40.

stmt 1: (x-1)^2 > 4 => x^2 - 2x + 1 > 4 => x(x - 2) > 3 Since it is given that x is a +ve integer, we can conclude that, to satisfy the above inequality, minimum value of x should be 4. Hence 1 is sufficient. stmt 2 again this is same as stmt 1. (x-2)^2 > 9 => x(x-4) > 5 To s...

x(x - 2) > 3 doesn't mean x > 3 and (x-2) > 3. Here i am considering left side of equation 1 as product of 2 numbers . Minimum value greater than 3 is 4. also x(x-2) is positive. so if we have x = 1 then x(x-2) is -1 if x = 2, x(x-2) = 0 if x=3, x(x-2) = 3. In all these cases the ans is not...