If \(r, s\) and \(t\) are numbers, is \(r = 60?\)

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Source: — Data Sufficiency |

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A

B

C

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Statement 1: The average (arithmetic mean) of r, s and t is 20
$$\frac{r+s+t}{3}=20$$
$$r+s+t=60$$
$$r=60-s-t$$
The exact value of s and t are unknown. So, r cannot be evaluated; hence, statement 1 is NOT SUFFICIENT.

Statement 2: s = t = 0
This does not say anything about r, so, statement 2 is NOT SUFFICIENT.

Combining both statements together
From statement 1 => r = 60 - s - t
From statement 2: s=0 and t=0
Therefore, r = 60 - 0 - 0 = 60
Since the value of r=60, then both statements combined together are SUFFICIENT.

Answer = C