The problem provides a multiplication fact and asks for the result of a division involving decimal numbers derived from the original numbers. The key is to use the given multiplication to simplify the division by adjusting for the decimal places.
Understand the given information: We are given the product of two integers:
\[ 23 \times 33 = 759 \]This implies that if we divide 759 by 33, we get 23, or if we divide 759 by 23, we get 33.
Set up the division problem: We need to calculate \(0.00759 \div 3.3\).
Rewrite the division using fractions: It's often easier to handle decimals by converting them to fractions or by shifting decimal places.
\[ \frac{0.00759}{3.3} \]Adjust for decimal places to match the given product: We want to relate 0.00759 to 759 and 3.3 to 33.
Substitute these into the division expression:
\[ \frac{759 \times 10^{-5}}{33 \times 10^{-1}} \]Separate the integer division and the powers of 10:
\[ \left(\frac{759}{33}\right) \times \left(\frac{10^{-5}}{10^{-1}}\right) \]Perform the integer division: From the given information, \(759 \div 33 = 23\).
Simplify the powers of 10: Using the rule \(a^m / a^n = a^{m-n}\):
\[ \frac{10^{-5}}{10^{-1}} = 10^{-5 - (-1)} = 10^{-5 + 1} = 10^{-4} \]Combine the results:
\[ 23 \times 10^{-4} \]Convert back to decimal form: \(23 \times 10^{-4}\) means moving the decimal point 4 places to the left from 23.0.
\[ 23.0 \rightarrow 2.3 \rightarrow 0.23 \rightarrow 0.023 \rightarrow 0.0023 \]So, \(23 \times 10^{-4} = 0.0023\).
B) 0.0023
The question asks to identify the organization that does not belong to the given group. This requires classifying each option based on its primary function or industry.
D) ONGC is the correct answer because UBI, SBI, and PNB are all public sector banks, while ONGC is a public sector undertaking primarily involved in the oil and gas industry.
Which of the following gases are used to fill an electric bulb?
The question asks about the gases used to fill an electric bulb. The primary purpose of filling an incandescent light bulb with a gas is to prevent the rapid evaporation of the tungsten filament, which would otherwise lead to its early failure. The gases chosen must be inert and should not react with the hot filament.
Correct Option: D) Ar and N₂ are the gases commonly used to fill an electric bulb because they are inert (or largely unreactive at high temperatures) and help to prevent the rapid evaporation of the tungsten filament, thereby extending the bulb's lifespan.
The question asks to identify the lead actor in the 2016 movie 'Dangal'. This is a general knowledge question related to Indian cinema.
C) Aamir Khan played the lead role of Mahavir Singh Phogat in the movie 'Dangal' released in 2016. The film was critically acclaimed and commercially successful.
This question tests the fundamental relationship between current, voltage, and resistance as described by Ohm's Law. Ohm's Law is a cornerstone of electrical circuit analysis.
Correct Option: B) Resistance — According to Ohm's Law, \(I = V/R\), which shows that current \(I\) is inversely proportional to resistance \(R\) when the potential difference \(V\) is constant.
The question asks to identify the element that does not belong to the group. This implies that most of the options share a common characteristic, and one option differs. We need to analyze the nature of each element provided in the options.
Correct Option: A) Zinc is a metal, while Neon, Helium, and Xenon are all noble gases. Therefore, Zinc does not belong to the group.
The problem involves decoding a word based on a given coding pattern. We need to identify the rule used to transform "SPANNER" into "GCDJJBS" and then apply the same rule to "NEAR".
A car falls from a mountain road and comes to the ground in 0.8 seconds. (Let's say g = 10 ms-2). What will be its speed when it hits the ground?
This problem involves the concept of free fall under gravity. We are given the time taken for the car to fall and the acceleration due to gravity. We need to find the final velocity (speed) just before it hits the ground. We can use the first equation of motion for uniformly accelerated motion.
The first equation of motion relates initial velocity, final velocity, acceleration, and time:
\[ v = u + at \]Here, \(a\) is the acceleration due to gravity, \(g\).
\[ v = 0 + (10 \text{ ms}^{-2}) \times (0.8 \text{ s}) \]D) \(8 \text{ ms}^{-1}\) is the correct speed when the car hits the ground, calculated using the equation of motion.
The mirror image of the above figure with respect to the line AB is 
To find the mirror image of a figure with respect to a line, each point on the figure should be reflected across that line. This involves flipping the figure horizontally or vertically, depending on the orientation of the line.
Option A correctly shows the vertical reflection of the given figure across line AB.
Correct Option: A) Option A is the correct mirror image.
Identify the odd one from the following -
The task is to identify the odd one out from the given options based on the relationship between the letter and the number below it.
Correct Option: C) O/15
