If r, s, and t are three integers, are they consecutive integers? (1)

Question

If r, s, and t are three integers, are they consecutive integers?

(1) s and t are consecutive prime numbers less than 10.
(2) s > r > t

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dreamknight · Answer

If r, s, and t are three integers, are they consecutive integers?

(1)  s  and  t  are consecutive prime numbers less than 10.
Insufficient.
only consecutive prime numbers are 2 and 3, so s & t are 2 and 3. But we still don't know anything about  t .

(2)  s > r > t 
Insufficient.
We can can't still infer that they are consecutive.
for example one possibility  s=5 ,  r=4 ,  t=3  (r, s, and t are consecutive integers)& another possibility  s=500 ,  r=4 ,  t=3  (r, s, and t are not consecutive integers)

Taking statements 1 & 2 together

s=3 ,  r=2  but we still don't know the value of t. t can be any integer less than 2, so t can be 0, -1, -5 etc

Therefore the correct answer is  Option E

Archit3110 · Answer

target determiner 
If r, s, and t are three integers, are they consecutive integers

#1
s and t are consecutive prime numbers less than 10.
s, t are +ve but value of r is not known
insufficient
#2
 s > r > t
can be any set of values insufficient
from 1 &2
 s > r > t
2>3>5
3>4>5
3>5>7

insufficient
option E

mcmoorthy · Answer

Given r,s and t are integers. We need to find whether they are consecutive.

Statement 1: s and t are consecutive prime numbers less than 10. We can have many pairs such as 2,3 or 3,5 or 5,7. INSUFFICIENT

Statement 2: s>r>t

This doesn't provide anymore details whether r,s and t are consecutive. INSUFFICIENT

Combining,

Given that s and t are consecutive primes less than 10 and r is in between s and t, we can have 2 options either 3,4,5 or 5,6,7 where first and last of the triplets are prime with a non-prime integer in between.

Both the triplets are consecutive and hence the answer is YES. SUFFICIENT

ANS: C

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If r, s, and t are three integers, are they consecutive integers? (1)

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If r, s, and t are three integers, are they consecutive integers? (1)

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