Mathematics · Quantitative Aptitude
Number Operations and Properties
896 Questions
Improve your quantitative aptitude with these number operations and properties questions. The topics range from basic subtraction and division to highest common factor and roman numerals. Regular practice of these fundamentals builds speed for exams.
Basic arithmetic operationsHCF and number propertiesRoman numeral calculationsNumber series evaluation
Number Operations and Properties Questions
B
Correct answer
Explanation
In most programming languages including Java, the ^ operator performs bitwise XOR, not exponentiation. 14 in binary is 01110, and 23 in binary is 10111. XORing these gives 11001, which equals 25 in decimal. The expression evaluates to 25.
A
Correct answer
Explanation
The ^ operator represents bitwise XOR. In binary, 14 is 01110 and 23 is 10111. Performing a bitwise XOR (01110 ^ 10111) yields 11001, which is 25 in decimal.
B
Correct answer
Explanation
$MOD performs the modulo operation, returning the remainder after division. When 5 is divided by 3, the quotient is 1 and the remainder is 2, so $MOD(5,3) equals 2.
C
Correct answer
Explanation
The pattern involves reversing both numbers, then adding corresponding digits column-wise: reverse(137)=731, reverse(276)=672. Adding column digits: 7+6=13, 3+7=10, 1+2=3 gives 1-3-10-3, which rearranges to 1623. This pattern applied to 731+672: reverse(731)=137, reverse(672)=276, adding column digits: 1+2=3, 3+7=10, 7+6=13 gives 3-10-13, rearranging to 1623.
-
1000001111
-
00000111
-
11111001
-
111111001
C
Correct answer
Explanation
In 97, digit at tens place is 9 and decider is 7, which is greater than 5.
Thus, 97 rounded off to the nearest ten is 100.
-
3.2 × 1010
-
3.2 × 108
-
3.2 × 104
-
3.2 × 103
C
Correct answer
Explanation
32000 = 3.2 × 10000 = 3.2 × 10^4. The decimal point moved 4 places to the left (from after the last zero to between 3 and 2), giving exponent 4.
-
1.5 × 107
-
1.5 × 106
-
1.5 × 105
-
1.5 × 104
A
Correct answer
Explanation
15 million = 15,000,000 = 1.5 × 10,000,000 = 1.5 × 10^7. The decimal moves 7 places left to put one digit before it.
-
By adding 1
-
By subtracting 1
-
By complementing each bit
-
By changing the most significant bit to 1
-
By changing the most significant bit to 0
A
Correct answer
Explanation
2's complement of a number is obtained by adding 1 to the 1's complement of that number.
D
Correct answer
Explanation
The answer of 11 x 2 x 22 will be 484, which is same as the answer of 22 x 11 x 2. So, if we change the place of the numbers to be multiplied, answer will remain same.
E
Correct answer
Explanation
This is the right answer. If we multiply 6 by 5 we will get 30. And to make the equation correct we should multiply 3 by the number which will give answer 30, and that number will be 10. 6 x 5 = 10 x 3 i.e. 30 = 30
D
Correct answer
Explanation
This is the right answer. Multiplication is repeated addition. Here 8 is getting added 6 times, so to make it simple if we multiply 6 from 8 we will get the same answer.
-
11,00,000
-
0
-
10000
-
100000
-
1
D
Correct answer
Explanation
This is the right answer. As if we multiply 100 by 1000 we will get 100000.
-
-14/3
-
3/14
-
-3/14
-
14/3
-
None of these
C
Correct answer
Explanation
Let x be the number to be multiplied then, (-7/4) (x) = 3/8
Or, x = -3/14
