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) 4306
(b) 4236
(c) 5336
(d) 4336
The correct answers to the above question in:
Answer: (c)
Divisor = 5 × Remainder = 5 × 46 = 230
Quotient = $230/10$ = 23
∴ Dividend = Divisor × Quotient + Remainder
= 230 × 23 + 46
= 5290 + 46 = 5336
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
The smallest number to be added to 1000, so that 45 divides the sum exactly, is :
a) 80
b) 35
c) 10
d) 20
Answer »Answer: (b)
1000 = (45 × 22) + 10
∴ 45 – 10 = 35 to be added.
So, the smallest number to be added to 1000 to make the sum exactly divisible by 45 is 35.
Question : 2
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
Question : 3
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 : 4
A six digit number is formed by repeating a three digit number; for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by :
a) 11 only
b) 7 only
c) 1001
d) 13 only
Answer »Answer: (c)
The number (x y z x y z) can be written, after giving corresponding weightage of the places at which the digits occur, as 100000 x + 10000y + 1000z + 100x + 10y + z
= 100100x + 10010y + 1001z
= 1001 (100x + 10y + z)
Since 1001 is a factor, the number is divisible by 1001.
7 × 11 × 13 = 1001
As the number is divisible by 1001, it will also be divisible by all three namely, 7, 11 and 13 and not by only one of these because all three are factors of 1001.
So, the answer is 1001.
Question : 5
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been ?
a) 124
b) 122
c) 118
d) 114
Answer »Answer: (b)
Let the number be p.
According to the question,
∴ $\text"p + 12"/6 = 112$
⇒ p + 12 = 672
⇒ p = 672 – 12 = 660
∴ Correct answer = $\text"600"/6 = 112$
Correct answer = 110 + 12 = 122
Question : 6
The expression 26n – 42n, where n is a natural number is always divisible by
a) 15
b) 18
c) 36
d) 48
Answer »Answer: (d)
The expression 26n − 42n = (26)n − (42)n
= 64n − 16n
Which is divisible by 64 –16= 48
Therefore the required answer is 48.
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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