The question asks to identify the type of chemical reaction that occurs when calcium oxide reacts with water to form slaked lime. We need to recall the definitions of different reaction types and apply them to the given chemical transformation.
Correct Option: D) Combination reaction — In this reaction, calcium oxide (\(\text{CaO}\)) and water (\(\text{H}_2\text{O}\)) combine to form a single product, calcium hydroxide (\(\text{Ca(OH)}_2\)). This perfectly fits the definition of a combination reaction.
Which of the following is NOT an example of osmosis?
Absorption of water by plant roots
Movement of O2 and CO2 in and out of the living cell
Swelling of raisins when soaked in water
Gaining of water by unicellular fresh water organisms
The question asks to identify which of the given options is NOT an example of osmosis. To answer this, we need to understand the definition of osmosis and then evaluate each option against this definition.
B) Movement of O\(_2\) and CO\(_2\) in and out of the living cell. This process occurs via simple diffusion, not osmosis. Osmosis specifically refers to the movement of water across a selectively permeable membrane.
This problem involves work and time, where the work rate of men and women needs to be determined. We will set up two equations based on the given information, solve them to find the individual work rates of a man and a woman, and then calculate the time taken by the new group.
Let \(M\) be the amount of work one man can do in one day, and \(W\) be the amount of work one woman can do in one day. The total work is constant.
From the first statement: 8 men and 12 women can build a wall in 10 days.
The total work done in one day by 8 men and 12 women is \(8M + 12W\). Since they complete the work in 10 days, the total work is \(10 \times (8M + 12W)\).
So, \(80M + 120W = \text{Total Work}\) (Equation 1)
From the second statement: 6 men and 8 women can build the same wall in 14 days.
The total work done in one day by 6 men and 8 women is \(6M + 8W\). Since they complete the work in 14 days, the total work is \(14 \times (6M + 8W)\).
So, \(84M + 112W = \text{Total Work}\) (Equation 2)
Equate Equation 1 and Equation 2, as the total work is the same:
\[ 80M + 120W = 84M + 112W \] \[ 120W - 112W = 84M - 80M \] \[ 8W = 4M \] \[ M = 2W \]This means one man does the work of two women.
Substitute \(M = 2W\) into Equation 1 to find the total work in terms of \(W\):
\[ \text{Total Work} = 80M + 120W \] \[ \text{Total Work} = 80(2W) + 120W \] \[ \text{Total Work} = 160W + 120W \] \[ \text{Total Work} = 280W \]This means the total work is equivalent to what 280 women can do in one day.
Now, we need to find how long it will take for 2 women and 1 man to build the wall together.
The combined work rate of 2 women and 1 man is \(2W + 1M\).
Substitute \(M = 2W\):
\[ 2W + 1(2W) = 2W + 2W = 4W \]So, 2 women and 1 man together can do work equivalent to 4 women in one day.
Let \(D\) be the number of days required for 2 women and 1 man to complete the work.
\[ D \times (4W) = \text{Total Work} \]We know \(\text{Total Work} = 280W\).
\[ D \times 4W = 280W \] \[ D = \frac{280W}{4W} \] \[ D = 70 \]So, it will take 70 days for 2 women and 1 man to build the wall together.
Correct Option: D) 70 days
The problem presents a series of three-letter groups, and we need to find the next group in the sequence. Each group consists of letters from the English alphabet. We should analyze the pattern of letters within each group and the pattern of the first letters of consecutive groups to identify the rule governing the series.
This confirms that each group follows the pattern of consecutive letters with a difference of +2.
Let's find the difference in their alphabetical positions:
The pattern is that the first letter of each subsequent group is +6 positions from the first letter of the previous group.
The last known first letter is W (23rd). Adding 6 to its position:
\[ 23 + 6 = 29 \]Since there are 26 letters in the alphabet, we wrap around:
\[ 29 - 26 = 3 \]The 3rd letter of the alphabet is C. So, the first letter of the next group is C.
Following the +2 pattern within the group, starting from C:
Thus, the next group in the series is CEG.
Correct Option: B) CEG
Which of the following compounds is unsaturated?
To identify an unsaturated compound, we need to understand the definitions of saturated and unsaturated hydrocarbons. Saturated hydrocarbons contain only single bonds between carbon atoms, while unsaturated hydrocarbons contain at least one double or triple bond between carbon atoms. We can determine this by looking at their chemical formulas and comparing them to the general formulas for alkanes, alkenes, and alkynes.
Correct Option: C) \(C_2 H_4\) is ethene, which is an alkene. Alkenes contain a carbon-carbon double bond, making them unsaturated hydrocarbons.
The question describes a car slowing down and stopping, which implies a change in its speed over time. We need to identify the type of motion that characterizes such a change.
Correct Option: B) Non-uniform motion. This is correct because the car's speed is changing (decreasing) over time, which is the definition of non-uniform motion.
In a row of 34 students facing North, Jignesh is 12th from the right end. If Kamlesh is 7th to the left of Jignesh, what is Kamlesh's position from the left end of the line?
To find Kamlesh's position from the left end, we first need to determine Jignesh's position from the left end. Then, we can use Jignesh's position to find Kamlesh's position, as Kamlesh is to the left of Jignesh. The total number of students in the row is given.
Therefore, Kamlesh is 16th from the left end of the line.
B) 16th is the correct answer. This is derived by first finding Jignesh's position from the left end and then subtracting 7 from it to find Kamlesh's position.
This question tests knowledge of basic chemical reactions, specifically the reaction between an acidic gas (carbon dioxide) and a base (calcium hydroxide). This is a common reaction taught in chemistry, often demonstrated as the "limewater test" for carbon dioxide.
Correct Option: D) Calcium carbonate
The question asks to identify the name of the supercomputers launched by Prime Minister Narendra Modi in September 2024 under the National Supercomputing Mission. This requires knowledge of recent developments in India's supercomputing initiatives.
C) PARAM Rudra — In September 2024, Prime Minister Narendra Modi launched three PARAM Rudra supercomputers, developed indigenously under the National Supercomputing Mission. These supercomputers are designed to enhance India's capabilities in areas like weather forecasting, drug discovery, and scientific research.
The problem describes a coding pattern based on the English alphabetical order. We need to identify the relationship between the letters in the given pairs (RGEL to VKAH and HWOV to LAKR) and then apply the same logic to find the code for TICJ.
Correct Option: C) XMYF