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Number System - Aptitude MCQ Questions and Solutions with Explanations

Number System MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Number System with easy and logical explanations. Number System MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-5 section-4

Each section contains 100 MCQs on Number System .
41
A number when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be -
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & \frac{{{\text{Remainder of number }}}}{{17}} = \frac{{36}}{{17}} \cr & \Rightarrow {\text{Remainder = 2}} \cr} $$
42
Find the value of $$\frac{1}{5} + $$   $$999\frac{{494}}{{495}} \times 99$$   = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & \Leftrightarrow \frac{1}{5} + 999\frac{{494}}{{495}} \times 99\, \cr & \Rightarrow \frac{1}{5} + \left[ {999 + \frac{{494}}{{495}}} \right] \times 99\, \cr & \Rightarrow \frac{1}{5} + \left[ {999 + 1 - \frac{1}{{495}}} \right] \times 99 \cr & \Rightarrow \frac{1}{5} + \left[ {1000 - \frac{1}{{495}}} \right] \times 99 \cr & \Rightarrow \frac{1}{5} + 99000 - \frac{1}{5} \cr & \Rightarrow 99000\, \cr} $$
43
If m and n are positive integers and (m - n) is an even number, then (m2 - n2 ) will always be divisible by :
Discuss
Answer & Solution
Answer: Option A
Solution:
Note : In such type of questions assume any values which satisfy the question condition
(i) Let m = 3,   n = 1
m - n = 3 - 1 = 2 (Even)
m2 - n2 = (3)2 - (1)2 = 8
(ii) Let m = 4,   n = 2
m - n = 4 - 2 = 2 (Even)
m2 - n2 = 16 - 4 = 12
(iii) Let m = 5,   n = 3
m - n = 5 - 3 = 2 (Even)
m2 - n2 = 25 - 9 = 16
H.C.F. of 8, 12, 16 = 4
So, the number is divisible by 4
44
The least among the fractions $$\frac{{15}}{{16}}$$ , $$\frac{{19}}{{20}}$$ , $$\frac{{24}}{{25}}$$ , $$\frac{{34}}{{35}}$$ is :
Discuss
Answer & Solution
Answer: Option B
Solution:
If difference between numerator and denominator is same in all fractions and numerator is smaller than denominator in all fractions, then smaller will be smaller and larger will larger.
So, $$\frac{{15}}{{16}}$$ is the smallest value among all.
So this is the answer
45
What decimal of a week is an hour ?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\frac{1}{{24 \times 7}} = 0.0059$$
46
If $$\frac{3}{4}$$ of a number is 7 more than $$\frac{1}{6}$$ of the number then $$\frac{5}{3}$$ of the number is :
Discuss
Answer & Solution
Answer: Option D
Solution:
Let the number be x
⇒ According to the question,
$$\eqalign{ & \Rightarrow \frac{{3x}}{4} - \frac{x}{6} = 7 \cr & \Rightarrow \frac{{9x - 2x}}{{12}} = 7 \cr & \Rightarrow 7x = 7 \times 12 \cr & \Rightarrow x = 12 \cr} $$
⇒ Then $$\frac{5}{3}$$ of the number will be
$$\eqalign{ & \Rightarrow \frac{{x \times 5}}{3} \cr & = \frac{{12 \times 5}}{3} \cr & = 20 \cr} $$
47
The solution to the inequality 12x - 66 $$ \leqslant $$ 6 is :
Discuss
Answer & Solution
Answer: Option A
Solution:
12x - 66 $$ \leqslant $$ 6
12x $$ \leqslant $$ 72
x $$ \leqslant $$ 6
48
If a (0.4)2 , b = 0.04 and c = $$\frac{{2}}{{5}}$$ , then the correct relationship among the three is :
Discuss
Answer & Solution
Answer: Option D
Solution:
a = (0.4)2 = 0.16
b = 0.04
c = 0.4
c > a > b
49
The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is :
Discuss
Answer & Solution
Answer: Option A
Solution:
The greatest 4 digit number = 9999
9999 is divided by 307
then, remainder = 175
∴ Number to be added = 307 - 175 = 132
50
Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are :
Discuss
Answer & Solution
Answer: Option D
Solution:
In such type of question always go through option to save your valuable time.
By option (D) 4, 2
4 + 2 × 2 = 8
4 - 2 = 2 (Satisfied)