If \(\frac{0.008}{x}\)= 0.01, then x = ?
The problem asks us to find the value of \(x\) given a simple algebraic equation involving decimals. We need to isolate \(x\) by performing basic arithmetic operations.
Write down the given equation:
\[ \frac{0.008}{x} = 0.01 \]To solve for \(x\), we can first multiply both sides of the equation by \(x\):
\[ 0.008 = 0.01 \times x \]Now, to isolate \(x\), divide both sides of the equation by 0.01:
\[ x = \frac{0.008}{0.01} \]To simplify the division of decimals, we can multiply the numerator and the denominator by a power of 10 to remove the decimal points. The denominator (0.01) has two decimal places, so we multiply by \(10^2 = 100\):
\[ x = \frac{0.008 \times 100}{0.01 \times 100} \] \[ x = \frac{0.8}{1} \] \[ x = 0.8 \]Correct Option: B) 0.8
The question asks about the deficiency that causes goiter. Goiter is a condition characterized by the abnormal enlargement of the thyroid gland. Understanding the function of the thyroid gland and the nutrients required for its proper functioning is key to answering this question.
A) Iodine is essential for the synthesis of thyroid hormones. Its deficiency directly leads to the enlargement of the thyroid gland, resulting in goiter.
We need to find the total cost price of the goods given information about sales in two parts (loss and profit) and the overall profit. We can assume the total cost price to be a variable, calculate the loss and profit for each part, and then sum them up to find the net profit in terms of that variable. Equating this to the given total profit will allow us to solve for the total cost price.
Correct Option: A) ₹15,625/-
The question asks about the minimum number of days of employment guaranteed to every household under the National Rural Employment Guarantee Act (NREGA). This is a factual question related to a key provision of the Act.
Correct Option: C) The National Rural Employment Guarantee Act (NREGA), enacted in 2005, guarantees 100 days of wage employment in a financial year to every rural household whose adult members volunteer to do unskilled manual work. This is a fundamental aspect of the Act aimed at enhancing livelihood security in rural areas.
If A lies in the second quadrant and 13sinA - 12 = 0, then 5sinA + 12cosA \( + \tan ^{2}A - (\sec ^{2}A - 1) = \) ?
0
\( \frac{48}{5} \)
\( \frac{24}{5} \)
-\( \frac{24}{5} \)
The problem requires us to evaluate a trigonometric expression given a condition for angle A, which lies in the second quadrant. We will first determine the value of \(\sin A\), then use the quadrant information to find \(\cos A\) and \(\tan A\). Finally, we will substitute these values into the given expression and simplify it.
Determine \(\sin A\):
Given the equation \(13\sin A - 12 = 0\).
\[ 13\sin A = 12 \]\[ \sin A = \frac{12}{13} \]Determine \(\cos A\):
We know the identity \(\sin^2 A + \cos^2 A = 1\).
\[ \cos^2 A = 1 - \sin^2 A \]\[ \cos^2 A = 1 - \left(\frac{12}{13}\right)^2 \]\[ \cos^2 A = 1 - \frac{144}{169} \]\[ \cos^2 A = \frac{169 - 144}{169} \]\[ \cos^2 A = \frac{25}{169} \]\[ \cos A = \pm\sqrt{\frac{25}{169}} \]\[ \cos A = \pm\frac{5}{13} \]Since A lies in the second quadrant, \(\cos A\) is negative.\[ \cos A = -\frac{5}{13} \]Determine \(\tan A\):
We know that \(\tan A = \frac{\sin A}{\cos A}\).
\[ \tan A = \frac{\frac{12}{13}}{-\frac{5}{13}} \]\[ \tan A = -\frac{12}{5} \]Simplify the expression:
The expression to evaluate is \(5\sin A + 12\cos A + \tan^2 A - (\sec^2 A - 1)\).
We know that \(\sec^2 A - 1 = \tan^2 A\). So, the expression simplifies to:
\[ 5\sin A + 12\cos A + \tan^2 A - \tan^2 A \]\[ 5\sin A + 12\cos A \]Substitute the values:
Substitute the values of \(\sin A\) and \(\cos A\) into the simplified expression:
\[ 5\left(\frac{12}{13}\right) + 12\left(-\frac{5}{13}\right) \]\[ \frac{60}{13} - \frac{60}{13} \]\[ 0 \]A) The value of the expression is \(0\), which matches option A.
The problem involves decoding a pattern where letters are assigned specific numerical values. We need to identify the mapping of each letter to its corresponding digit from the given coded words and then apply this mapping to the new word "HANG".
B) 4783 is the correct code for HANG based on the established letter-to-digit mapping.
The question asks about the types of video signals passed by a DVI-I connector. Understanding the different types of DVI connectors (DVI-A, DVI-D, DVI-I) is crucial to answer this question correctly.
Correct Option: B) Passes both digital and analog video signals
The question asks to identify the author of the famous Sanskrit poem 'Meghaduta'. This requires knowledge of classical Indian literature and prominent ancient Indian poets.
Correct Option: D) Kalidasa — Kalidasa was a classical Sanskrit writer, widely regarded as the greatest poet and dramatist in the Sanskrit language of India. His works include 'Meghaduta', 'Abhijnanasakuntalam', 'Kumarasambhava', and 'Raghuvamsa'. 'Meghaduta' is a lyrical poem that describes a Yaksha's attempt to send a message to his beloved through a cloud.
The question asks about the main function of the IAEA (International Atomic Energy Agency). To answer this, one needs to know the primary objectives and mandate of this international organization.
Correct Option: C) It seeks to promote the peaceful use of nuclear energy throughout the world.
This is a coding-decoding problem. We need to identify the code for each word by comparing the given statements and then use these codes to find the codes for the required phrases.
Given statements:
B) 'huge tre' and 'noe tyo' matches our derived codes for 'Ram there' and 'Sima work' respectively.