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
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The following question based on number system topic of quantitative aptitude
(a) 4
(b) 3
(c) 8
(d) 6
The correct answers to the above question in:
Answer: (a)
Required remainder = 16 – 12 = 4
(because 24 is a multiple of 12.)
Practice number system (model 2 divisibility, multiples, add and subtract based number system) Online Quiz
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Read more divide multiple add subtract Based Quantitative Aptitude Questions and Answers
Question : 1
A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by
a) 9
b) 11
c) 3
d) 5
Answer »Answer: (b)
Let the number be 10x + y
After interchanging the digits, the number obtained = 10y + x
According to the question,
Resulting number
= 10x + y + 10y + x
= 11x + 11y
= 11 (x + y) which is exactly divisible by 11.
Question : 2
Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was 3042. The number of members present in the party was
a) 32
b) 2
c) 39
d) 40
Answer »Answer: (c)
Let the required number of persons be x.
According to the question, $2x^2$ = $3042$
or $x^2$ = $3042/2$ = 1521
or x = $√{1521}$ = 39
Question : 3
When a number is divided by 893, the remainder is 193. What will be the remainder when it is divided by 47 ?
a) 5
b) 3
c) 33
d) 25
Answer »Answer: (a)
Here, 893 is exactly divisible by 47.
Hence, the required remainder is obtained on dividing 193 by 47.
∴ Remainder = 5
Question : 4
Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be
a) 11
b) 13
c) 4
d) 7
Answer »Answer: (d)
First number (X) = 17x + 13
Second number (Y) = 17y + 11
∴${X + Y}/17$ = ${17(x + y)}/17 + {13 + 11}/17$
∴Required remainder = Remainder obtained on dividing
11 + 13
i.e. 24 by 17 = 7
Question : 5
The sum of first sixty numbers from one to sixty is divisible by
a) 59
b) 13
c) 61
d) 60
Answer »Answer: (c)
Sum of first 60 numbers
= ${60(60+ 1)}/2$ = ${60× 61}/2$ = 1830
The number 1830 is divisible by 61.
Question : 6
Which of the following number is NOT divisible by 18 ?
a) 50436
b) 54036
c) 65043
d) 34056
Answer »Answer: (c)
A number will be exactly divisible by 18 if it is divisible by 2 and 9 both. Clearly 65043 is not divisible by 2.
∴ Required number = 65043
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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