model 6 operations of consecutive numbers (odd, even, square, etc.) Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on number system topic of quantitative aptitude
(a) 4980
(b) 5000
(c) 4950
(d) 4900
The correct answers to the above question in:
Answer: (c)
Numbers divisible by 3 and lying between 100 and 200 are : 102, 105,..... 198
Let number of terms = n
198 = 102 + (n–1) 3
n–1 = ${198 - 102}/3$ = 32
n = 33
S = $n/2$(a+l) =$33/2$(102+ 198) = 4950
Practice number system (model 6 operations of consecutive numbers (odd, even, square, etc.)) Online Quiz
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Read more operations on consecutive numbers Based Quantitative Aptitude Questions and Answers
Question : 1
Out of six consecutive natural numbers, if the sum of first three is 27, what is the sum of the other three ?
a) 25
b) 36
c) 35
d) 24
Answer »Answer: (b)
x + x + 1 + x + 2 = 27
3x + 3 = 27
3x = 24
x = 8
Three consecutive no's whose sum is 27 are 8, 9,10.
Hence, next 3 consecutive no's having 36 as sum are 11, 12 and 13
Question : 2
The sum of all the 3-digit numbers, each of which on division by 5 leaves remainder 3, is
a) 6995
b) 180
c) 1550
d) 99090
Answer »Answer: (d)
According to the question,
First number = a = 103; Last number = l = 998
If the number of such numbers be n, then,
998 = 103 + (n – 1) × 5
(n – 1) × 5= 998 – 103 = 895
n – 1 = $895/5$ = 179
n = 180
S = $n/2(a+l)$
=$180/2$(103 +998)
= 90 × 1101 = 99090
Question : 3
The sum of first 50 odd natural numbers is
a) 5200
b) 1000
c) 1250
d) 2500
Answer »Answer: (d)
S = 1 + 3 + 5 + ..... to 50 terms
Here, a = 1; d = 3 – 1 = 2; n = 50
S = $n/2[2a + (n - 1)d]$
= $50/2[2×1+ (50 - 1) ×2]$
= 25 (2 + 98) = 25 × 100 = 2500
GET number system PRACTICE TEST EXERCISES
model 1 basic number system
model 2 divisibility, multiples, add and subtract based number system
model 3 fraction of numbers
model 4 finding unit place of a number
model 5 smallest and largest fraction/numbers
model 6 operations of consecutive numbers (odd, even, square, etc.)
number system Shortcuts and Techniques with Examples
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model 1 basic number system
Defination & Shortcuts … -
model 2 divisibility, multiples, add and subtract based number system
Defination & Shortcuts … -
model 3 fraction of numbers
Defination & Shortcuts … -
model 4 finding unit place of a number
Defination & Shortcuts … -
model 5 smallest and largest fraction/numbers
Defination & Shortcuts … -
model 6 operations of consecutive numbers (odd, even, square, etc.)
Defination & Shortcuts …
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