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# Is S < T? (1) R = T/2 (2) S = R/2

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Senior Manager
Joined: 08 Jun 2013
Posts: 445
Location: India
Schools: INSEAD Jan '19
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)
Is S < T? (1) R = T/2 (2) S = R/2  [#permalink]

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22 Sep 2018, 20:01
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:01) correct 48% (00:33) wrong based on 44 sessions

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Is $$S < T$$?

(1) $$R = T/2$$

(2) $$S = R/2$$

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Manager
Joined: 24 Dec 2017
Posts: 117
Location: India
Concentration: Strategy, Real Estate
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Re: Is S < T? (1) R = T/2 (2) S = R/2  [#permalink]

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22 Sep 2018, 21:51
Is S<T?

St 1: R =T/2
=>2R=T
We have no information about S. Hence proved insufficient. AD

St2: S=R/2
=>2S=R
We have no information about T. Hence proved insufficient.BCE

St 1 & St 2: 2R=T & 2S=R

Case 1: Let R=3
=>2x3=6(T=6) & 2x1.5=3(S=1.5)
=>T=6 & S=1.5. In this case, S<T

Case 2: Let R=-4
=>2x-4=-8(T=-8) & 2x-2=-4(S=-2)
=>T=-8 & S=-2. In this case. S>T

Hence C is also insufficient.

Thank you
Arjun
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Joined: 04 Jan 2015
Posts: 2065
Re: Is S < T? (1) R = T/2 (2) S = R/2  [#permalink]

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23 Sep 2018, 03:03

Solution

To find:
• Whether S < T

Analysing Statement 1
As per the information given in statement 1, $$R = \frac{T}{2}$$

• We don’t have any relevant information about S.

Hence, statement 1 is not sufficient.

Analysing Statement 2
As per the information given in statement 2, $$S = \frac{R}{2}$$

• We don’t have any relevant information about T.

Hence, statement 2 is not sufficient.

Combining Both Statements
We know $$R = \frac{T}{2}$$ and $$S = \frac{R}{2}$$.
Hence, we can say $$S = \frac{T}{4}$$, or, $$T = 4S$$.

• Now, if both S and T are positive integers, then T > S.
• Whereas if both S and T are negative integers, then T < S.

As we can see, we can have multiple possibilities.

Hence, the correct answer is option E.

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Re: Is S < T? (1) R = T/2 (2) S = R/2  [#permalink]

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24 Sep 2018, 05:19
Harshgmat wrote:
Is $$S < T$$?

(1) $$R = T/2$$

(2) $$S = R/2$$

Statement 1 and 2 are clearly insufficient. We don't have any relevant info regarding S.

Combining 1 and 2:
T=4S
S=2 T=8
S<T
S=-3 and T=-12
S>T
Insufficient
E
Re: Is S < T? (1) R = T/2 (2) S = R/2 &nbs [#permalink] 24 Sep 2018, 05:19
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# Is S < T? (1) R = T/2 (2) S = R/2

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