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MBA Entrance Exams / #CMAT

April 05, 2018 @ 06:03 PM

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April 05, 2018 @ 06:03 PM

Quantitative Techniques section

MBA aspirants who are appearing in CMAT Second Test which is being conducted from 20th February to 24th February 2014 may find following Quantitative Techniques  
Question useful for practice: 
 
Progressions: Sum of terms of an Arithmetic Sequences
 
Question 
 
The sum of 20 terms of the series -12 + 22 - 32 + 42 - 52 + 62....  
 
1.210
2.519
3.190
4.420
 
Answer
 
Correct Choice is (1) and Correct Answer is 210
 
Explanatory Answer
 
-12 + 22 - 32 + 42 - 52 + 62.... up to 20 terms can be written as
(-12 + 22) + (-32 + 42) + (-52 + 62) +..... up to 20 terms.
= (-1 + 2) (1 + 2) + (-3 + 4) (3 + 4) + (-5 + 6) (5 + 6) +..... (-19 + 20) (19 + 20)
= (1 + 2) + (3 + 4) + (5 + 6) + ..... + (19 + 20)
Sum of the first 'n' natural numbers = n(n+1)/2
 
Therefore, sum of the given series = 20*21/2 = 210
 
 
 
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