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Difficulty:
15%
(low)
Question Stats:
83% (01:38) correct
17%
(01:53)
wrong
based on 1638
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of
\(10-8+6-4+2-0+(-2)-(-4)+(-6)-(-8)+(-10)-(-12)+(-14)-(-16)+(-18)-(-20)?\)
A. 8
B. 10
C. 12
D. 14
E. 16
\(10-8+6-4+2-0+(-2)-(-4)+(-6)-(-8)+(-10)-(-12)+(-14)-(-16)+(-18)-(-20)?\)
A. 8
B. 10
C. 12
D. 14
E. 16
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Official Solution:
What is the value of
\(10-8+6-4+2-0+(-2)-(-4)+(-6)-(-8)+(-10)-(-12)+(-14)-(-16)+(-18)-(-20)?\)
A. 8
B. 10
C. 12
D. 14
E. 16
We should find the value of the following expression:
\(10-8+6-4+2-0+(-2)-(-4)+(-6)-(-8)+(-10)-(-12)+(-14)-(-16)+(-18)-(-20)\)
Observe that there are 8 pairs, each summing to 2:
\(10-8=2\);
\(6-4=2\);
\(2-0=2\);
\((-2)-(-4)=2\);
\((-6)-(-8)=2\);
\((-10)-(-12)=2\);
\((-14)-(-16)=2\);
\((-18)-(-20)=2\);
Thus, the total sum is \(8*2 = 16\).
Answer: E
What is the value of
\(10-8+6-4+2-0+(-2)-(-4)+(-6)-(-8)+(-10)-(-12)+(-14)-(-16)+(-18)-(-20)?\)
A. 8
B. 10
C. 12
D. 14
E. 16
We should find the value of the following expression:
\(10-8+6-4+2-0+(-2)-(-4)+(-6)-(-8)+(-10)-(-12)+(-14)-(-16)+(-18)-(-20)\)
Observe that there are 8 pairs, each summing to 2:
\(10-8=2\);
\(6-4=2\);
\(2-0=2\);
\((-2)-(-4)=2\);
\((-6)-(-8)=2\);
\((-10)-(-12)=2\);
\((-14)-(-16)=2\);
\((-18)-(-20)=2\);
Thus, the total sum is \(8*2 = 16\).
Answer: E
Updated on: 05 Jan 2021, 10:39
Originally posted by BrentGMATPrepNow on 18 Apr 2017, 16:28.
Last edited by BrentGMATPrepNow on 05 Jan 2021, 10:39, edited 1 time in total.
Last edited by BrentGMATPrepNow on 05 Jan 2021, 10:39, edited 1 time in total.
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GMATPASSION
Some strategically-placed brackets helps here.
10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10) - (-12) + (-14) - (-16) + (-18) - (-20)
= [10 - 8] + [6 - 4] + [2 - 0] + [(-2) - (-4)] + [(-6) - (-8)] + [(-10) - (-12)] + [(-14) - (-16)] + [(-18) - (-20)]
= [2] + [2] + [2] + [2] + [2] + [2] + [2] + [2]
= 16
Answer: E
Cheers,
Brent
