Dear Mitch,

Each is singular, however in Choice E can see that each is used as plural

thnks.

1) x+y = 3 2) x > y From statement (1) ,the expressions become 5 - y / y + 3 Y + 2 / 6 – y Check for boundary conditions Y < 5 and y > 6 For y <5 say y = 3 2/5 and 5/1 , No For y > 6 say y = 7, -1/10 and -9, Yes Insufficient From statement (2), x = 3 and y = 2 , boundary condition when difference ...

Alternate way

Multiples of 7 from 5 to 257 = 36

as the series is advancing by 3 everytime, Number of multiples of 7 in series = 36 / 3 = 12

Number of bags with peanuts only = p Number of bags with raisin only = 10p Let Number of bags with only raisin and peanut = n Hence Number of bags with peanuts only = 4n Number of bags with raisin only = 40n Now 435 = 210 + 40n + n + 4n hence n = 5 Bags with only one item = 20n + 40n+ 4n = 64n = 320...

to get coordinates.

Divide the difference in y-coordinate i.e (6-0) into 4 parts (3:1) i.e 3/2

Divide the difference in x-coordinate i.e (-5+2) into 4 parts i.e -3/4

To get the actual coordinates, [-2-3/4 , 0+3/2] = [-2.75,1.5)

We need to determine the number of possible ways to construct line PR and PQ. (1)Number of ways to construct line PR is to select pairs of x-coordinate from -4 <=x<=5 = 10 * 9 = 90 (2)Number of ways to construct line PQ is to select pairs of y-coordinate from 6 <=x<=16 = 11 * 10 = 110 Total ways to ...

Option E wrong because :- the labor theory disregards the productive contribution of capital goods. There is no mention that it overestimates the worker's share to total output.

Hello, one clarity required here - (B) suggests that discounts are short term and consumers will get back to paying regular pricing - that means the companies will not hurt their profits in longer term. this option thus seems to be supporting the discounts. Kindly help