Fractions & Decimals - Free MCQ Practice Test with solutions, SSC CGL Quant

Fraction is a part of a whole that represents a proportional relationship. It is a way to express quantities that are not whole numbers. Here are some key points about fractions:

• A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number).
• The numerator indicates how many parts are being considered.
• The denominator shows the total number of equal parts that make up a whole.
• Fractions can be proper (numerator less than denominator), improper (numerator greater than or equal to denominator), or mixed (a whole number combined with a fraction).
• Fractions are used in various real-life situations, such as in cooking, measuring, and dividing items.

Understanding fractions is essential for mathematics, as they are foundational for concepts like ratios, percentages, and algebra.

Decimal originates from the Latin word decem, which means ten. This linguistic root is significant in various contexts, particularly in mathematics and measurements. Here’s a brief overview:

• The term decimal refers to the base-10 number system, which is widely used today.
• In this system, each digit's position represents a power of ten, making calculations straightforward.
• Understanding the origin of the word helps in grasping its importance in both historical and modern contexts.

In essence, the Latin root decem not only influences the term decimal but also highlights the foundational role of the number ten in various numerical systems and mathematical concepts.

Mixed fraction consists of two parts: a whole number and a fraction. To express a mixed fraction, you can break it down into its components as follows:

• Nearest Natural Number: This is the whole number part of the mixed fraction.
• Proper Fraction: This is the fractional part, which is less than one and represents the remainder of the mixed fraction.

Therefore, the complete expression for a mixed fraction is:

Mixed fraction = Nearest Natural Number + Proper Fraction

In summary:

• The whole number represents how many full units are present.
• The proper fraction indicates what remains beyond those full units.

we have, 0.25×0.025×0.025 of 2.5

we have,

To arrange the decimal numbers in ascending order, we need to compare their values. Here are the numbers we are working with:

• 4.4
• 0.44
• 0.044
• 0.004

We can organise these numbers based on their size:

• 0.004 - This is the smallest value.
• 0.044 - This is larger than 0.004.
• 0.44 - This is larger than 0.044.
• 4.4 - This is the largest value.

Thus, the numbers in ascending order are:

• 0.004
• 0.044
• 0.44
• 4.4

(7.5)² + 2 × 2.5 × 7.5 + (2.5)² = (7.5 + 2.5)2

= (10)2 = 100

 Vicky → 1.61m Bittu →1.62m Rohit → 1.6m Abhishek →  1.64m

Total milk bought =8.5l+7.25l+9.4l=25.15l

∴ Milk left in booth = 30l−25.15l = 4.850 liters

15 wickets= 330 runs 1 wickets