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) 4025
(b) 5050
(c) 4275
(d) 3775
The correct answers to the above question in:
Answer: (d)
We have,
1 + 2 + 3 ........ + n = ${n(n+1)}/2$
51 + 52 + ..... + 100 = (1 + 2 + ....... 100) – (1 + 2 + ... + 50)
= ${100×101}/2 - {50×51}/2$
= 5050 – 1275 = 3775
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
The sum of all the 3-digit numbers is
a) 8991
b) 98901
c) 494550
d) 899
Answer »Answer: (c)
First 3-digit number = 100
Last 3-digit number = 999
Number of terms = 900
S = $n/2(a+l)$
= $900/2$[100 + 999]
= 450 × 1099 = 494550
Question : 2
Sum of three consecutive even integers is 54. Find the least among them.
a) 14
b) 18
c) 15
d) 16
Answer »Answer: (d)
Let three consecutive even integers be 2x, 2x + 2 and 2x + 4 respectively.
2x + 2x + 2 + 2x + 4 = 54
6x + 6 = 54
6x = 54 – 6 = 48
x = 8
The least even number = 2 × 8 = 16
Question : 3
The sum of four consecutive even numbers is 748. The smallest among them is
a) 184
b) 188
c) 186
d) 174
Answer »Answer: (a)
x + x + 2 + x + 4 + x + 6 = 748
4x + 12 = 748
4x = 748 – 12 = 736
x =$736/4$ = 184
Question : 4
The sum of three consecutive odd natural numbers is 87. The smallest of these numbers is :
a) 23
b) 29
c) 31
d) 27
Answer »Answer: (d)
Let the three odd consecutive natural numbers be x, x + 2 and x + 4.
According to the question
x + x + 2 + x + 4 = 87
or 3x + 6 = 87
or 3x = 81; x = 27
Smallest number = 27
Question : 5
Find three consecutive numbers such that twice the first, three times the second and four times the third together make 191.
a) 20, 21, 22
b) 19, 20, 21
c) 21, 22, 23
d) 22, 23, 24
Answer »Answer: (a)
Numbers = x, x +1 and x + 2
2x + 3x + 3 + 4x + 8 = 191
9x = 191 – 11 = 180
x = 20
∴ Numbers = 20, 21 and 22
Question : 6
The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is
a) 70
b) 85
c) 75
d) 80
Answer »Answer: (d)
Let the required largest number be x.
According to the question,
x + x – 5 + x – 10 = 225
3x – 15 = 225
3x = 225 + 15 = 240
x = $240/3$ = 80
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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