To find the number, we need to set up an equation based on the given percentage information. We are told that 28% of an unknown number is 35. We can represent the unknown number with a variable and then solve for it.
Let the unknown number be \(x\).
The problem states that 28% of this number is 35. We can write 28% as a decimal or a fraction:
\[ 28\% = \frac{28}{100} \]Now, we can form the equation:
\[ \frac{28}{100} \times x = 35 \]To solve for \(x\), we need to isolate \(x\) on one side of the equation. We can do this by multiplying both sides by the reciprocal of \(\frac{28}{100}\), which is \(\frac{100}{28}\):
\[ x = 35 \times \frac{100}{28} \]Now, perform the multiplication and division:
\[ x = \frac{35 \times 100}{28} \]We can simplify the fraction. Both 35 and 28 are divisible by 7:
\[ 35 \div 7 = 5 \] \[ 28 \div 7 = 4 \]So, the equation becomes:
\[ x = \frac{5 \times 100}{4} \]Further simplify:
\[ x = \frac{500}{4} \] \[ x = 125 \]A) 125 is the correct answer. When we calculate 28% of 125, we get \(0.28 \times 125 = 35\).
B) 80 — If the number were 80, then 28% of 80 would be \(0.28 \times 80 = 22.4\), which is not 35.
C) 120 — If the number were 120, then 28% of 120 would be \(0.28 \times 120 = 33.6\), which is not 35.
D) 108 — If the number were 108, then 28% of 108 would be \(0.28 \times 108 = 30.24\), which is not 35.
Which north-eastern state of India has signed up to host the 39th National Games in the year 2022?
The question asks to identify the North-Eastern state that was slated to host the 39th National Games in 2022. This requires knowledge of the venues for past and upcoming National Games of India.
Correct Option: A) Meghalaya was the state that had signed up to host the 39th National Games, originally scheduled for 2022.
The problem asks us to determine the relationship between Swathi and Namitha based on two given statements. We need to evaluate each statement independently to see if it provides enough information to answer the question, "How is Swathi related to Namitha?"
Let's analyze each statement:
Both statements independently lead to the conclusion that Swathi is Namitha's sister-in-law.
A) Either I or II is sufficient to answer the question. Both statements independently provide enough information to determine that Swathi is Namitha's sister-in-law.
Select the option that correctly fits in the blank space in the given figure.
The problem involves identifying a pattern in a sequence of images and selecting the option that correctly completes the sequence.
Correct Option: A) A simple curved line that fits the transformation pattern.
The given pie chart represents the annual yield of certain crops in tons.
If the total production is 9000 tons, then the yield of rice is ______ tons.
The pie chart provides the distribution of different crops in terms of degrees. We need to calculate the yield of rice based on the given total production of 9000 tons.
Correct Option: C) 1000
Choose the correct water image of the given problem figure.
Problem Figure
Answer Figure
To find the correct water image of the given problem figure, we need to understand how reflections work. A water image is a vertical reflection of the object across the horizontal axis.
Correct Option: D) Option D matches the inverted wave-like pattern of the problem figure, making it the correct water image.
The question refers to early Indian philosophical thought regarding the fundamental constituents of the universe. This concept is widely known as the 'Panchamahabhutas' or 'Five Great Elements' in various Indian philosophical schools.
Correct Option: D) 5. According to early Indian philosophers, everything is made up of five basic elements: Earth, Water, Fire, Air, and Ether (or Space). This concept is known as the Panchamahabhutas.
The question asks about the field for which the Arjuna Awards are given by the Government of India. This requires knowledge of prominent national awards and their respective categories.
D) Sports
The Arjuna Awards are India's second-highest sporting honour, instituted in 1961 by the Government of India to recognize outstanding achievement in sports. The award is named after Arjuna, a character from the ancient Indian Sanskrit epic Mahabharata. It is given annually by the Ministry of Youth Affairs and Sports.
Find the L.C.M of \( \frac{4}{5} \), \( \frac{2}{3} \) and \( \frac{5}{7} \)
To find the L.C.M (Least Common Multiple) of fractions, we use a specific formula: the L.C.M of fractions is equal to the L.C.M of their numerators divided by the H.C.F (Highest Common Factor) of their denominators.
Identify the given fractions:
\[ \frac{4}{5}, \frac{2}{3}, \frac{5}{7} \]Identify the numerators: \(4, 2, 5\).
Identify the denominators: \(5, 3, 7\).
Calculate the L.C.M of the numerators (\(4, 2, 5\)).
Calculate the H.C.F of the denominators (\(5, 3, 7\)).
Apply the formula for L.C.M of fractions:
\[ \text{L.C.M of fractions} = \frac{\text{L.C.M of numerators}}{\text{H.C.F of denominators}} \]Substitute the calculated values:
\[ \text{L.C.M} = \frac{20}{1} = 20 \]C) 20 is the L.C.M of the given fractions.
The problem asks us to identify symbols that satisfy two conditions: they must be immediately preceded by a letter AND not immediately followed by a number. We need to scan the given expression from left to right and check each symbol against these conditions.
B) 1 is the correct answer because only one symbol, '+', meets both criteria: it is preceded by a letter ('D') and not followed by a number ('K').