Number System & Operations
· Mathematics-General Ability
270 Questions• 203 Mins Practice• Updated for 2026 Competitive Exams
270 MCQs
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270 Questions
61
Compute: 100% of 64
Correct Option
Option A
Explanation
Step 1: 100% means the whole amount. Step 2: Therefore 100% of 64 is 64.
62
Find the LCM of 8 and 12.
Correct Option
Option B
Explanation
Step 1: Prime factorize: 8 = 2^3, 12 = 2^2*3. Step 2: Take highest powers: 2^3*3 = 8*3 = 24. Step 3: Therefore the LCM is 24.
63
What is the smallest five-digit number formed by using the digits 2, 3, 4, 0, 5? (a) 23045 (b) 20435 (c) 02345 (d) 20345
Correct Option
Option D
Explanation
**Step 1:** Arrange the given digits in ascending order to start building the smallest number: 0, 2, 3, 4, 5.
64
If 1 is subtracted from each odd digit and 1 is added to each even digit in the number 92379654, what will be the sum of the digits which are second from the left and third from the right? (a) 6 (b) 8 (c) 10 (d) 5
Correct Option
Option C
Explanation
**Step 1:** First, transform the entire number according to the rules.
65
Which of the following is the greatest three-digit number that is divisible by 13? (a) 990 (b) 575 (c) 988 (d) 908
Correct Option
Option C
Explanation
**Step 1:** Identify the greatest three-digit number. This is 999.
66
The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is: (a) 307 (b) 132 (c) 306 (d) 176
Correct Option
Option B
Explanation
**Step 1:** The greatest 4-digit number is 9999.
67
Which of the following numbers is NOT divisible by 8? (a) 35792 (b) 35112 (c) 35412 (d) 35552
Correct Option
Option C
Explanation
The divisibility rule for 8 states that a number is divisible by 8 if its last three digits are divisible by 8. We will check the last three digits of each number.
68
If the 8-digit number $3x5479y4$ is divisible by 88 and the 8-digit number $425139z2$ is divisible by 9, then find the maximum possible value of $(3x + 2y – z)$. (a) 33 (b) 37 (c) 25 (d) 35
Correct Option
Option A
Explanation
This problem has two parts.
69
$276x1$ is divisible by 3. What is the sum of the possible values of x? (a) 18 (b) 21 (c) 12 (d) 15
Correct Option
Option D
Explanation
For a number to be divisible by 3, the sum of its digits must be a multiple of 3.
70
When the number $(5)^{501}$ is divided by 126 then the remainder will be? (a) 117 (b) 121 (c) 89 (d) 125
Correct Option
Option D
Explanation
We will use modular arithmetic. We need to find the remainder of $5^{501}$ when divided by 126.
71
Find the largest number of four digits that is completely divisible by 49. (a) 9998 (b) 9994 (c) 9992 (d) 9996
Correct Option
Option D
Explanation
**Step 1:** The largest four-digit number is 9999.
72
What is the value of the digits A and B? $BA \times B3 = 57A$ (a) A = 2, B = 4 (b) A = 3, B = 5 (c) A = 5, B = 2 (d) A = 5, B = 3
Correct Option
Option C
Explanation
This is a cryptarithmetic puzzle. We can solve it by testing the given options.
73
If $3x^2 + ax + 4$ is perfectly divisible by $x - 5$, then the value of a is: (a) - 12 (b) - 5 (c) - 15.8 (d) - 15.6
Correct Option
Option C
Explanation
According to the Remainder Theorem, if a polynomial $P(x)$ is perfectly divisible by a linear factor $(x-c)$, then $P(c) = 0$.
74
If 3 is added to each odd digit and 2 is subtracted from each even digit in the number 6452851, what will be the difference between the largest and smallest digits thus formed? (a) 8 (b) 6 (c) 4 (d) 2
Correct Option
Option A
Explanation
**Step 1:** Apply the rules to each digit of the number 6452851.
75
When $19^{300}$ is divided by 20, find the remainder. (a) 2 (b) 1 (c) 3 (d) 4
Correct Option
Option B
Explanation
We can use the concept of modular arithmetic or the remainder theorem.
76
If each even digit is divided by 2 and 2 is added to each odd digit in the number 4723361, what will be the sum of the largest and the smallest digits thus formed? (a) 12 (b) 10 (c) 11 (d) 9
Correct Option
Option B
Explanation
**Step 1:** Apply the given rules to each digit of the number 4723361.
77
If the 11-digit number $88p554085k6$, $k \neq p$, is divisible by 72, then what is the value of $(3k + 2p)$? (a) 12 (b) 7 (c) 13 (d) 23
Correct Option
Option C
Explanation
A number is divisible by 72 if it is divisible by its co-prime factors, 8 and 9.
78
Which of the following numbers are odd?
Correct Option
Option C
Explanation
Odd numbers are those that cannot be divided evenly by 2. Among the given options, 5 is the only number that meets this criterion.
79
How many numbers between 300 and 1000 are divisible by 7? (a) 994 (b) 301 (c) 101 (d) 100
Correct Option
Option D
Explanation
**Step 1:** Find the number of multiples of 7 from 1 to 1000.
80
What number should be deducted from 1265 to make it divisible by 29 exactly? (a) 15 (b) 16 (c) 18 (d) 17
Correct Option
Option C
Explanation
The number that should be deducted is simply the remainder when 1265 is divided by 29.
