model 6 operations of consecutive numbers (odd, even, square, etc.) Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
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The following question based on number system topic of quantitative aptitude
(a) 184
(b) 188
(c) 186
(d) 174
The correct answers to the above question in:
Answer: (a)
x + x + 2 + x + 4 + x + 6 = 748
4x + 12 = 748
4x = 748 – 12 = 736
x =$736/4$ = 184
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 three consecutive natural numbers divisible by 3 is 45. The smallest number is :
a) 12
b) 18
c) 3
d) 9
Answer »Answer: (a)
Let the numbers be : 3x, 3x + 3 and 3x + 6
According to the question,
3x + 3x + 3 + 3x + 6 = 45
9x + 9 = 45
9x = 45 – 9 = 36
x = $36/9$ = 4
The smallest number = 3x = 3 × 4 = 12
Question : 2
The sum of three consecutive numbers is 87. The middle number is
a) 30
b) 27
c) 29
d) 28
Answer »Answer: (c)
Let three consecutive natural numbers be x, x+1, x+2.
According to the question,
x + x + 1 + x + 2 = 87
3x + 3 = 87
3x = 84 ⇒ x = $84/3$ = 28
Middle number = 28 + 1 = 29 OR,$87/3$ = 29
Question : 3
The sum of three consecutive odd natural numbers is 147. Then, the middle number is :
a) 49
b) 47
c) 48
d) 51
Answer »Answer: (a)
x + x + 2 + x + 4 = 147
3 x + 6 = 147
3 x = 147 – 6 = 141
x = $141/3$ = 47
Middle Number = x + 2 = 47 + 2 = 49
Question : 4
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 : 5
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 : 6
The sum of all the natural numbers from 51 to 100 is
a) 4025
b) 5050
c) 4275
d) 3775
Answer »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
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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