Mathematics · Quantitative Aptitude
Number Sums and Series
287 Questions
Number sums and series questions test the ability to find patterns and calculate the sum of number sequences. These problems are a staple in the quantitative aptitude sections of various competitive exams. Practice this collection to improve speed and accuracy in solving arithmetic and geometric series problems.
Sum of consecutive integersGeometric series sumsRatio and proportion sumsOdd and even number propertiesRoman numeral calculations
Number Sums and Series Questions
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Even number
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Odd number
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Cannot be determined
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None of these
A
Correct answer
Explanation
14 and 24 are even numbers. When we add two even numbers, the result is always an even number.
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even number
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odd number
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composite number
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none of these
B
Correct answer
Explanation
When an even number is added to an odd number, the result is always an odd number.
For example, 23 (odd number) + 24 (even number) = 47 (odd number)
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a, b only
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a, b, d only
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a, b, e only
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a, b, c, d only
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all of the functions are correct
E
Correct answer
Explanation
All of the functions are correct.
(a) = SUM (A1 : A10) will calculate sum of 10 cells from A1 to A10.
(b) = SUM (A1 : B10) will calculate sum of 20 cells from A1 to B10.
(c) = SUM (B1 : A10) is correct; it will work same as = SUM (A1 : B10) and calculate sum of 20 cells from A1 to B10.
(d) = SUM (B10 : A1) is correct; it will work same as = SUM (A1 : B10) and calculate sum of 20 cells from A1 to B10.
(e) = SUM (B10 : A1) will calculate sum of 2 cells B10 and A1
Comma(,) is used to represent a group of seperate cells.
Colon(:) is used to represent a range or of cells.
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17,300
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17,100
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17,000
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None of these
C
Correct answer
Explanation
7298 rounded off to nearest thousand = 7000
999 rounded off to nearest thousand = 10000
Sum of rounded numbers = 7000 + 10000 = 17000
C
Correct answer
Explanation
47 rounded off to the nearest tenth is 50
and 407 rounded off to the nearest tenth is 410.
Sum = 410 + 50 = 460
C
Correct answer
Explanation
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24
Multiples of 8 = 8, 16, 24
Least common multiple = 24
24 × 1 = 24, 24 × 2 = 48, 24 × 3 = 72, 24 × 4 = 96
24 + 48 + 72 + 96 = 240
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40009
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909
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40900
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10100
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None of these
A
Correct answer
Explanation
Place value of 4 = 40000
Face value of 9 = 9
Sum = 40009
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491955
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492134
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492126
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49212
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None of these
C
Correct answer
Explanation
Second number = 235647
Fourth number = 256479
Sum = 492126
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1236
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920
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1142
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578 is not an octal number.
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777
D
Correct answer
Explanation
In octal number system, we have 8 digits from 0 to 7 ony. Hence, 578 is not an octal number.
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10010
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1202
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No hexadecimal sum is possible because they are binary numbers.
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1101
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1000
B
Correct answer
Explanation
1101 + 101 = 1202 in any number system where digits upto 2 are present. This is so in all the number systems with base 3 or more.
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Cumulative
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Sum
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Grand
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Partial
D
Correct answer
Explanation
Cumulative, sum and grand are associated with total. Partial is the odd word out.
A
Correct answer
Explanation
The SUM function in Excel and other spreadsheet software adds all specified numerical arguments together. It can handle individual numbers (SUM(5, 10, 15)) or cell ranges (SUM(A1:A10)) and is one of the most commonly used functions.
C
Correct answer
Explanation
Let three consecutive positive even integers are (a – 2), a, (a + 2), their sum is 3a. As a is the middle number and is an even integer. So the sum must be divisible by 6. Out of given choices, choice (3) is not a multiple of 6.
A
Correct answer
Explanation
Let three consecutive positive integers are (a – 1), a, (a + 1), their sum is 3a. As a is the middle number and is an integer. So the sum must be divisible by 3. Out of given choices only choice (1) is a multiple of 3.
D
Correct answer
Explanation
Let 5 consecutive integers are X - 2, X - 1, X , X + 1 and X + 2. Their sum is 5X. So 5X= 350 which means X is 70 which is the middle number.