model 4 finding unit place of a number 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) 18
(b) 29
(c) 58
(d) 36
The correct answers to the above question in:
Answer: (b)
Let the two–digit number be 10x + y where x < y.
Number obtained on reversing the digits =10y + x
According to the question,
10y + x = 4 (10x + y) – 24
40x + 4y – 10y – x = 24
39x – 6y = 24
13x – 2y = 8 ....(i)
Again, y – x = 7
y = x + 7 ....(ii)
13x – 2 (x + 7) = 8
13x – 2x – 14 = 8
11 x = 14 + 8 = 22
x = $22/11$ = 2
From equation (ii),
y – 2 = 7 ⇒ y = 2 + 7 = 9
Number = 10x + y =10×2+9= 29
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Read more unit place Based Quantitative Aptitude Questions and Answers
Question : 1
The last digit of $(1001)^2008$ + 1002 is
a) 6
b) 0
c) 4
d) 3
Answer »Answer: (d)
Last digit of $(1001)^2008$ + 1002 = 1 + 2 = 3
Question : 2
In a two–digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is
a) 47
b) 59
c) 35
d) 23
Answer »Answer: (a)
Ten’s digit = x
Unit’s digit = 2x – 1
Original number = 10x + (2x – 1) = 12x – 1
New number = 10 (2x – 1) + x
= 20x – 10 + x = 21x – 10
(21x – 10) – (12x + 1) = 12x – 1 – 20
9x – 9 = 12x – 21
3x = 12 ⇒ x = 4
Original number = 12x – 1 = 12 × 4 – 1 = 47
Question : 3
The unit digit in the expansion of $(2137)^754$ is
a) 9
b) 1
c) 7
d) 3
Answer »Answer: (a)
Expression = $(2137)^754$
Unit’s digit in 2137 = 7
Now, $7^1 = 7, 7^2 = 49, 7^3 = 343, 7^4 = 2401, 7^5$ = 16807, ...
Clearly, after index 4, the unit’s digit follow the same order.
Dividing index 754 by 4 we get remainder = 2
∴ Unit’s digit in the expansion of $(2137)^754$ = Unit’s digit in the expansion of $(2137)^2$ = 9
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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