The value of \(\frac{(0.96)^3-(0.1)^3}{(0.96)^2+0.096+(0.1)^2}\) is:
To find the rate of simple interest, we first need to calculate the simple interest earned. This is done by subtracting the principal amount from the final amount. Once the simple interest is known, we can use the simple interest formula \(SI = \frac{P \times R \times T}{100}\) to solve for the rate of interest (R).
Simple Interest is the difference between the final amount and the principal amount.
\[ SI = A - P \]\[ SI = \text{₹}15,000 - \text{₹}12,000 \]\[ SI = \text{₹}3,000 \]The formula for simple interest is:
\[ SI = \frac{P \times R \times T}{100} \]We need to find R (Rate of Interest).
\[ 3,000 = \frac{12,000 \times R \times 5}{100} \]First, simplify the right side of the equation:
\[ 3,000 = \frac{60,000 \times R}{100} \]\[ 3,000 = 600 \times R \]Divide both sides by 600:
\[ R = \frac{3,000}{600} \]\[ R = 5 \]The rate of interest is 5% per annum.
Correct Option: B) 5%
Find the value of sin 34° + cos 64° - cos 4°
The question asks to identify the "Player of the Series" for the Cricket Test Series between India and Australia that concluded in January 2021. This requires knowledge of significant cricket awards from that specific series.
B) Pat Cummins was awarded the "Player of the Series" for his exceptional bowling performance in the 2020-21 Border-Gavaskar Trophy series, where he took 21 wickets.
This is a syllogism problem. We will use Venn diagrams to represent the given statements and then evaluate the conclusions based on these diagrams. We need to find the conclusions that logically follow from the statements.
D) Only conclusion II follow.
Conclusion II logically follows from the given statements because if some candies are chocolates and all chocolates are lollipops, then those candies that are chocolates must also be lollipops.
The value of \(\frac{3\sqrt{2}}{\sqrt{6}-\sqrt{3}}-\frac{4\sqrt{3}}{\sqrt{6}-\sqrt{2}}-\frac{6}{\sqrt{8}-\sqrt{12}}\) is:
\(\sqrt{3}\) + \(\sqrt{2}\)
\(\sqrt{3}\) - \(\sqrt{2}\)
5\(\sqrt{3}\)
1
To simplify the given expression, we will rationalize the denominator of each term separately. Rationalizing involves multiplying the numerator and denominator by the conjugate of the denominator. We will then combine the simplified terms.
C) \(5\sqrt{3}\) is the simplified value of the given expression, as derived from the step-by-step simplification.
Article 21A was added to the Constitution of India by which constitutional amendment act?
42nd Constitutional Amendment
93rd Constitutional Amendment
94th Constitutional Amendment
86th Constitutional Amendment
The question asks to identify the Indian state that does not have a coastline. This requires knowledge of the geographical location of Indian states and their proximity to the sea.
Correct Option: B) Bihar is a landlocked state in India, meaning it does not have any direct access to the sea or an ocean. It is situated in the eastern part of India and shares its northern border with Nepal.
The question asks for the year in which the Battle of Chausa was fought between Humayun and Sher Shah Suri. This is a factual question related to Indian history, specifically the Mughal period. To answer this, one needs to recall the key events and their dates during Humayun's reign.
Correct Option: A) 1539 is the correct year for the Battle of Chausa.
The question asks about the final product of protein digestion by intestinal juice. This requires knowledge of the digestive process, specifically the role of intestinal enzymes in breaking down macromolecules.
Therefore, intestinal juice, through its peptidase enzymes, converts proteins (or their intermediate peptide products) into amino acids.
Correct Option: C) Amino acid
Proteins are complex macromolecules made up of chains of amino acids. During digestion, these chains are broken down into individual amino acids, which are then absorbed into the bloodstream.