Mathematics · Quantitative Aptitude

Number Operations and Properties

974 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

Multiple choice

What is the value of 2/3 +1/3 +7/3 ?

  1. 10/9

  2. 10/3

  3. 30/3

  4. 10/27
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since the fractions have a common denominator of 3, add the numerators: 2 + 1 + 7 = 10. The result is 10/3.

Multiple choice

The multiplicative inverse of 1/7 -5 is

  1. 36/7

  2. -36/7

  3. 7/36

  4. -7/34
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Interpreting 1/7 - 5 as (1/7) - 5 = -34/7, its multiplicative inverse is -7/34. The multiplicative inverse of a fraction a/b is b/a.

Multiple choice

12 x ( 0) x (15) is equal to

  1. 180

  2. 12

  3. 15

  4. 0
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Any number multiplied by 0 is 0. Since the expression contains 0 as a factor, the entire product is 0.

Multiple choice

The simplest form of -18/48 is

  1. -9/24

  2. -3/8

  3. 1/ -3

  4. 1/3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Divide both the numerator and denominator by their greatest common divisor, which is 6. -18 / 6 = -3 and 48 / 6 = 8, resulting in -3/8.

Multiple choice

The value of 64a2 - 80ab + 25b2 is

  1. ( 8a + 5b )2

  2. ( a - b)2

  3. ( 8a - 5b )2

  4. ( a + b ) 2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The expression 64a^2 - 80ab + 25b^2 is of the form x^2 - 2xy + y^2, which factors to (x - y)^2. Here, x = 8a and y = 5b, so it is (8a - 5b)^2.

Multiple choice

If a2 + 2ab + b2 = 49 then (a + b) is

  1. 17

  2. 7

  3. 23

  4. 98
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The expression a^2 + 2ab + b^2 is the expansion of (a + b)^2. Since (a + b)^2 = 49, taking the square root gives a + b = 7 (assuming positive values).

Multiple choice

3x = 81

  1. 9

  2. 3

  3. 4

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since 81 = 3^4, the equation 3^x = 81 becomes 3^x = 3^4. Therefore, x = 4.

Multiple choice

(3/4)2

  1. 9/16

  2. 25

  3. 6/8
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

(3/4)^2 = 3^2 / 4^2 = 9 / 16.

Multiple choice

(a)6 ÷ (a)4

  1. a1.5

  2. a2

  3. a24

  4. a6/4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The quotient rule for exponents states that a^m / a^n = a^(m-n). Here, a^6 / a^4 = a^(6-4) = a^2.

Multiple choice

√100 ÷ √4

  1. √400

  2. 5

  3. 20

  4. √25
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The square root of 100 is 10 and the square root of 4 is 2. Dividing these results, 10 / 2 = 5.

Multiple choice

(14m3n4p2)÷(28m2n2p2)

  1. 2mn2

  2. 28m

  3. mn2/2

  4. 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Divide the coefficients (14/28 = 1/2) and subtract the exponents for each variable: m^(3-2) = m, n^(4-2) = n^2, and p^(2-2) = p^0 = 1. This results in (mn^2)/2.