Which two of the following numbers, when added together, yield a sum

Question

Which two of the following numbers, when added together, yield a sum between 1 and 2?

I.  \frac{7*2^3}{3^3-7}

II.  \frac{\frac{3}{11}}{\frac{6}{11}}

III.  \frac{-11^2-11^3}{30 * 44}

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

lacktutor · Answer

The best way to solve this question is to check the answers.

if you simplify I and II, you will get I=14/5=2.8
 II=1/2=0.5
 you don't need to simplify the last one, because anyway it is negative number.
None of the all 3 number are between 1 and 2. So, Eliminate A,B and C.

Well, if you add I and II together, you will get 3.2 and it is not between 1 and 2. I think We can Eliminate E too. 
We have left just one answer, D. Answer choice is D.

Staphyk · Answer

Constraint: 1< (sum of numbers)<2

(1)  (7•2^3)/(3^3-7)= (7•8)/20 = 14/5 = 2 4/5 =(2.something)

(11)  3/11/6/11 = 1/2

(111)  (-11^2-11^3)/(30•44)= -1(11)^2(1+11)/(30•44) = -1(11)^2(12)/(30•44)= -11/10=
 -1 1/10 = (-1.something)

Only (1)+ (111) gives us sum between 1 and 2
Thus, (2.something)- (1.something ) =1.something

Answer D

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Kinshook · Answer

Question: Which two of the following numbers, when added together, yield a sum between 1 and 2?

I.  \frac{7*2^3}{3^3-7} 
 \frac{7*2^3}{3^3-7}=\frac{7*2^3}{20}=\frac{14}{5} = 2.8

II.  \frac{\frac{3}{11}}{\frac{6}{11}} 
 \frac{\frac{3}{11}}{\frac{6}{11}}=\frac{3}{6}=.5

III.  \frac{-11^2-11^3}{30 * 44} 
 \frac{-11^2-11^3}{30 * 44}=-\frac{11^2(1+11)}{30*44}= -1.1

Adding together I & III =2.8 - 1.1 = 1.7

IMO D

sagarsangani123 · Answer

First, simplify the numbers I) 56/20 = 2.8 II) 1/2 = 0.5 III) -11/10 = -1.1 Adding I & II = (2.8+0.5) > 2 Adding II & III = (0.5-1.1)< 1 Adding I & III = (2.8 - 1.1) < 2 and >1 Thus, (D)

Abhishek009 · Answer

I.  \frac{7*2^3}{3^3-7}

= \frac{7*8}{20}=2.80

II.  \frac{\frac{3}{11}}{\frac{6}{11}}

= \frac{3}{11}*\frac{11}{6}=0.50

III.  \frac{-11^2-11^3}{30 * 44}

=\frac{11^2( -1 -11)}{30 * 44}=-1.10

Add I. and III, answer will be 1.70 , hence correct option will be (D)

priyamitra · Answer

The question states "Which two of the following numbers, when added together....". 
There is only one answer option (D) that is adding two of the provided numbers. In this case, can't we straightaway mark D?

catinabox · Answer

Not necessarily. Statement 1+2+3 could have been between 1 &2 (you need to check to verify that it isn't). But I do agree; the question isn't framed very well.

luisdicampo · Answer

Deconstructing the Question

We must determine which two of the expressions produce a sum between

1   and   2  .

So we evaluate each value and test their sums.

Step-by-step

Evaluate expression I

\frac{7 \cdot 2^3}{3^3 - 7}

2^3 = 8

3^3 = 27

\frac{7 \cdot 8}{27 - 7}

\frac{56}{20}

= 2.8

Evaluate expression II

\frac{\frac{3}{11}}{\frac{6}{11}}

= \frac{3}{11} 	imes \frac{11}{6}

= \frac{3}{6}

= 0.5

Evaluate expression III

\frac{-11^2 - 11^3}{30 \cdot 44}

11^2 = 121

11^3 = 1331

-121 - 1331 = -1452

30 \cdot 44 = 1320

\frac{-1452}{1320} \approx -1.1

Now test the sums

I + II = 2.8 + 0.5 = 3.3

I + III = 2.8 - 1.1 \approx 1.7

II + III = 0.5 - 1.1 = -0.6

Only  I + III  gives a value between  1  and  2

Answer D: I and III only

Which two of the following numbers, when added together, yield a sum

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GMAT Problem Solving (PS) Questions

Which two of the following numbers, when added together, yield a sum

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