SNAP 2010

Machines are identical. So, each machine produces 180/6 = 30 bottles/hr

15 such machines will produce 450 bottles in an hour.

So, in 30 mins 15 machines will produce 225 bottles.

Let the number be N.

(N/5) + 4 = (N/4) - 10

=> N = 280

On adding the units digits of the numbers, we get sum as 10.

$$\therefore\ $$ The summation will be divisible by 10.

Case 1 - b -> positive

Let a=10, b=1.

Here (a-b) and (a+b) both are positive.

Case 2 - b -> negetive

Let a=10, b= -1.

Here also (a-b) and (a+b) both are positive.

$$\therefore\ $$ Both statements I and II together are not sufficient to answer the question.

Let the votes received by P = p, Q = q, R = r.

We can form 2 eqns. from the statements given:

p = 17 + q = 103 + r

Total votes cast = 1703

using all 3 eqns,

p + q + r = 1703

$$\therefore\ $$ Both statement I and II together are necessary to answer the question.

The area between the 2 circles is $$\pi\ $$(R^2 - r^2). The ratio of this area to that of the bigger circle's is 2/3.

So, $$\pi\ $$(R^2 - r^2) = (2/3) $$\pi\ $$(R^2)

=> (R^2) = 3 x (r^2)

=> r/R = (1/$$\sqrt{\ 3}$$)

=> (2$$\pi\ $$r)/(2$$\pi\ $$R) = (1/$$\sqrt{\ 3}$$) = C1:C2

$$\therefore\ $$ Statement II alone is sufficient to answer the question.

Let the middle number be 'a'.

From statement 1, (a-3)(a-2)(a-1)(a)(a+1)(a+2)(a+3) = 702800

On solving this, the value of 'a' that we get is between 7 and 8 and is not a whole number.

from statement 2, (a-3)+(a-2)+(a-1)+(a)+(a+1)+(a+2)+(a+3) = 105

On solving this, we get a = 15.

$$\therefore\ $$ Statement II alone is sufficient to answer the question.

From statement 1, 3p = q + r + s

we know that p + q + r + s = 360

=>p + 3p = 360

=> p = 90

Statement 2 gives no relation of p with q, r and s.

$$\therefore\ $$ Statement I alone is sufficient to answer the question.

All the necessary info is given except the height of the container.

$$\therefore\ $$ Both statements I and II together are not sufficient to answer the question.

Statement 1 gives last year's data which is irrelevant.

Statement 2 gives us his total investment which is Rs. 3500

Rate of interest offered by the company is (Dividend/Investment) x 100.

$$\therefore\ $$ Statement II alone is sufficient to answer the question.