model 2 divisibility, multiples, add and subtract based number system Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 6 EXERCISES
-
Basic Number System Aptitude Questions Practice Test with PDF »
-
Number System on Divisibility Multiple Add Subtract Live Test »
-
Top 255+ Number System Fraction Aptitude Questions Answers »
-
Top +299 Aptitude Number System (Find Unit Place) Mcq Quiz »
-
Top Number System Aptitude (Smallest Largest Fraction) MCQ »
-
199+ Aptitude Number System: Consecutive Numbers MCQ Quiz »
The following question based on number system topic of quantitative aptitude
(a) 4
(b) 6
(c) 8
(d) 12
The correct answers to the above question in:
Answer: (a)
In this problem, put any even positive value for both m & n,
For example m = 4 & n = 2
∴ (m2 – n2) = (42 – 22) = 16 - 4
= 12 is always divisible by 4.
Practice number system (model 2 divisibility, multiples, add and subtract based number system) Online Quiz
Discuss Form
Read more divide multiple add subtract Based Quantitative Aptitude Questions and Answers
Question : 1
When a number is divided by 56, the remainder obtained is 29. What will be the remainder when the number is divided by 8 ?
a) 4
b) 5
c) 3
d) 7
Answer »Answer: (b)
When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.
Hence, on dividing 29 by 8, the remainder is 5.
Question : 2
(49)15 – 1 is exactly divisible by :
a) 50
b) 51
c) 29
d) 8
Answer »Answer: (d)
As we know, xn – an is exactly divisible by (x – a) if n is odd.
∴ (49)15 – (1 )15 is exactly divisible by 49 – 1 = 48, that is a multiple of 8.
Hence required answer is 8.
Question : 3
If a and b are two odd positive integers, by which of the following integers is (a4 – b4) always divisible ?
a) 3
b) 6
c) 8
d) 12
Answer »Answer: (c)
$a^4 - b^4 = (a - b) (a + b) (a^2 + b^2)$,
Where a and b are odd positive integers.
If two positive integers are odd, then their sum, difference and sum of their squares are always even.
∴ (a - b) (a + b) and $(a^2 + b^2)$ are divisible by 2.
Hence (a - b) (a + b) x $(a^2 + b^2) = a^4 - b^4$ is always divisible by $2^3 = 8$
Question : 4
How many numbers between 1000 and 5000 are exactly divisible by 225 ?
a) 16
b) 18
c) 19
d) 12
Answer »Answer: (b)
First number (a) = 1125, Last number (an) = 4950,
Divisible by (d) = 225, No. of terms (n) = ?
No. of term formula, an= a+(n-1)d
Then, 4950= 1125 + (n - 1) 225
3825= 225n - 225
4050= 225n
n = 4050/225 = 18
Therefore, 18 numbers between 1000 and 5000 are exactly divisible by 225.
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
-
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 …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
Ratio and Proportion Questions with Solutions, IBPS Clerk
New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024
Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
SSC STENO: Mensuration Area & Volume Questions Test PDF
Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »
SSC STENO: Speed Time and Distance MCQ Questions Test PDF
Free Time and Distance Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Download PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »