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

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Which two of the following numbers, when added together, yield a sum  [#permalink]

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New post 15 Jul 2019, 23:20
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (01:53) correct 41% (01:51) wrong based on 28 sessions

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Re: Which two of the following numbers, when added together, yield a sum  [#permalink]

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New post 15 Jul 2019, 23:44
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.
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Which two of the following numbers, when added together, yield a sum  [#permalink]

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New post 16 Jul 2019, 00:17
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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Re: Which two of the following numbers, when added together, yield a sum  [#permalink]

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New post 16 Jul 2019, 01:20
Bunuel wrote:
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


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
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Re: Which two of the following numbers, when added together, yield a sum   [#permalink] 16 Jul 2019, 01:20
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