The average (arithmetic mean) of integers r, s, t, u, and v is 100. Ar

Question

The average (arithmetic mean) of integers r, s, t, u, and v is 100. Are exactly two of the integers greater than 100?

(1) Three of the integers are less than 50.
(2) None of the integers is equal to 100.

broall · Answer

We have $r+s+t+u+v=500$ (1) Since we have $r,s,t < 50 \implies r+s+t < 150 \implies u+v>350$ If $u = 50 \implies v > 300 > 100$. There is only one integer greater than 100 If $u=150 \implies v > 200 > 100$. There are two integers greater than 100 Hence insufficient. (2) We can't know how many numbers are greater than 100. Insufficient. Combine (1) and (2) we still have either one or two integers greater than 100. Insufficient. The answer is E

TestPrepUnlimited · Answer

The total of the 5 integers is 500.

Statement 1:

We could have 2 integers greater than 100, or we could have 3 integers less than 50, one integer between 50 and 100, and only one integer greater than 100. Insufficient.

Statement 2:

This is basically useless information so insufficient.

Combined:

Since statement 2 barely provides information combined still insufficient.

Ans: E

ravigupta2912 · Answer

Best way is to think of one negative integer, that ways A and B are ruled and so is C. E is clearly the answer.

Say U + V has to be 350. It can be either 150 + 200 (answers the Q) OR -100 + 450 (does not answer the Q)

St 2 says none of the integers is equal to 100. Well we can always have 99 and 101 (answering the Q) and we can also have 150 + rest of the integers as less than 100 (not answering the Q).

Merging the two statements, nothing new will be obtained. E is the answer.

Bro102 · Answer

See here i done it we give that mean of R,S,T,U and V is 100.
We need=Are exactly two of the integers greater than 100?
 S.1)Three of the integers are less than 50:-
So here i assume that R=49 S=48 T=47 AND 
Now we see R+S+T+U+V/5=100
 49+48+47+U+=500
 144+U+V=500
 U+V=500-144
 U+V= 356
Here we can tell that U+V can be greater than 100 but listen there has chance that U can be 1 and V can be 355 so its insufficinet

S.2) It is telling that Non of the integers is equal to zero
 Actually here i assume that none of than zero means all are less than 0 so its insufficient
 
ANS:-E

The average (arithmetic mean) of integers r, s, t, u, and v is 100. Ar

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The average (arithmetic mean) of integers r, s, t, u, and v is 100. Ar

Prep Toolkit

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