Answer :
Let's go through each question one by one:
- 1 kg is a conversion factor:
- A. 2 hours
- B. 100 cm
- C. 1000 gm
- D. 1000 m
The correct answer is C. 1000 gm. One kilogram (kg) is equal to 1000 grams (gm).
- The point lies on the y-axis:
- A. (5,0)
- B. (-5,0)
- C. (0,4)
- D. (-2,-2)
The correct answer is C. (0,4). A point lies on the y-axis if its x-coordinate is 0.
- 1 - 75% =
- A. 25
- B. 25%
- C. 75
- D. 0.75
The correct answer is B. 25%. 75% is the same as 0.75 in decimal, so 1 - 0.75 = 0.25, which is 25%.
- If 5:7 = x:14, then x =
- A. 10
- B. 14
- C. 17
- D. 15
To solve this, we can use a proportion: [tex]\frac{5}{7} = \frac{x}{14}[/tex]. Cross-multiplying gives [tex]5 \times 14 = 7x[/tex]. Simplifying, [tex]x = \frac{70}{7} = 10[/tex]. So, the correct answer is A. 10.
- 72.3 + 0.01 =
- A. 7230
- B. 723
- C. 7.23
- D. 72.3
The correct answer is D. 72.3. Adding 0.01 to 72.3 gives 72.31, which is the same as D in terms of significant figures.
- Area of a rhombus with side length 7 cm and height 5 cm:
- A. 11
- B. 12
- C. 35
- D. 56
The area of a rhombus can be calculated by the formula: Area = base [tex]\times[/tex] height. So, the area = 7 cm [tex]\times[/tex] 5 cm = 35 cm². Thus, the correct answer is C. 35.
- Volume of a cuboid with dimensions 3 cm, 4 cm, and 5 cm:
- A. 60
- B. 12
- C. 35
- D. 56
The volume of a cuboid is calculated by multiplying its length, width, and height. So, the volume = 3 cm [tex]\times[/tex] 4 cm [tex]\times[/tex] 5 cm = 60 cm³. So, the correct answer is A. 60.
- The x coordinate of the ordered pair (3, -2) is:
- A. -3
- B. 5
- C. -2
- D. 3
The correct answer is D. 3. In the ordered pair [tex](3, -2)[/tex], the x-coordinate is 3.
Additional Questions:
Sara got 45 marks out of 50 in the exam. Find the percentage of her marks.
Percentage can be calculated as:
[tex]= \left( \frac{\text{Marks obtained}}{\text{Total marks}} \right) \times 100\% = \left( \frac{45}{50} \right) \times 100\% = 90\%[/tex].So, Sara's percentage is 90%.
The ratio between the number of boys and girls is 3:4. If the number of boys is 15, find the number of girls.
Given ratio of boys to girls = 3:4. The number of boys = 15, so each part of the ratio is equivalent to 15 / 3 = 5. Therefore, the number of girls = 4 [tex]\times 5 = 20[/tex].