The question asks for the full form of BHEL, a prominent Public Sector Undertaking (PSU) in India. This requires knowledge of common abbreviations related to Indian government organizations and industries.
Correct Option: D) Bharat Heavy Electricals Limited is the correct full form of BHEL. It is one of India's largest engineering and manufacturing companies, involved in power generation and other heavy industries.
If (2, -2) and (5, 2) are two consecutive vertices of a square, then the length of each side of the square will be:
5 units
5\(\sqrt{2}\) units
\(\frac{5}{\sqrt{2}}\) units
\(\sqrt{5}\) units
To find the length of each side of the square, we need to calculate the distance between the two given consecutive vertices. Since the vertices are consecutive, the distance between them represents the side length of the square. We will use the distance formula for two points in a Cartesian coordinate system.
Thus, the length of each side of the square is 5 units.
A) 5 units — The calculation using the distance formula correctly yields 5 units as the length of the side.
If '÷' means 'division', '–' means 'addition', '×' means 'subtraction' and '+' means 'multiplication', then what will be the value of the following expression?
(\( \frac{5}{2} \) × 2) + (3 – 1)
This problem requires us to substitute the given new meanings for the mathematical operators into the expression and then evaluate it following the order of operations (BODMAS/PEMDAS).
The given expression is \[\left( \frac{5}{2} \text{ × } 2 \right) + (3 \text{ – } 1)\].
Substituting the new meanings:
So, the expression becomes:
\[ \left( \frac{5}{2} - 2 \right) \times (3 + 1) \]First parenthesis:
\[ \frac{5}{2} - 2 = \frac{5}{2} - \frac{4}{2} = \frac{5-4}{2} = \frac{1}{2} \]Second parenthesis:
\[ 3 + 1 = 4 \]The expression now is:
\[ \frac{1}{2} \times 4 \]Therefore, the value of the expression is 2.
Correct Option: B) 2
Find the value of x if \(\sqrt{1+\frac{x}{144}}\) = \( \frac{13}{12} \).
To find the value of \(x\), we need to solve the given equation by isolating \(x\). This involves squaring both sides of the equation to remove the square root, simplifying the expression, and then performing basic algebraic operations.
The given equation is:
\[ \sqrt{1+\frac{x}{144}} = \frac{13}{12} \]To eliminate the square root, square both sides of the equation:
\[ \left(\sqrt{1+\frac{x}{144}}\right)^2 = \left(\frac{13}{12}\right)^2 \]This simplifies to:
\[ 1+\frac{x}{144} = \frac{13^2}{12^2} \]\[ 1+\frac{x}{144} = \frac{169}{144} \]Subtract 1 from both sides of the equation:
\[ \frac{x}{144} = \frac{169}{144} - 1 \]To subtract 1, express 1 as a fraction with the same denominator:
\[ \frac{x}{144} = \frac{169}{144} - \frac{144}{144} \]Perform the subtraction:
\[ \frac{x}{144} = \frac{169 - 144}{144} \]\[ \frac{x}{144} = \frac{25}{144} \]Multiply both sides by 144 to solve for \(x\):
\[ x = 25 \]Correct Option: C) The value of \(x\) is 25.
This problem involves understanding relative directions and seating arrangements, typical in logical reasoning questions. We need to determine the direction Monu is facing based on the given information about the seating positions and one person's facing direction.
A) West — As explained in the step-by-step analysis, if Anita is facing East (sitting on the West side), and Monu is opposite Anita, then Monu must be sitting on the East side and facing West.
This problem involves calculating the combined work rate of two individuals to determine the time taken to complete a task together. We will find the individual work rates, add them to get the combined work rate, and then find the reciprocal to get the total time.
Correct Option: B) 8.57
The question asks to identify the articles of the Indian Constitution that most clearly embody the power of judicial review. Judicial review is the power of the judiciary to examine the constitutionality of legislative enactments and executive orders of both the Central and State governments. If they are found to be violative of the Constitution, they can be declared illegal, unconstitutional, and invalid by the Supreme Court and the High Courts.
Correct Option: B) Article 32 and Article 226
These two articles explicitly provide the power to the Supreme Court (Article 32) and the High Courts (Article 226) to issue writs for the enforcement of fundamental rights and for other legal purposes, which is a direct manifestation of judicial review. Article 32 itself is a fundamental right, guaranteeing the right to move the Supreme Court for the enforcement of other fundamental rights. Article 226 grants similar, and in some aspects broader, powers to the High Courts.
The question asks to identify the option where the full form of the given acronym is INCORRECT. We need to check the full form for each acronym provided in the options.
Based on the evaluation, Option B contains an incorrect full form.
Correct Option: B) CHOGM: Commonwealth Heads of Government Ministries
To answer this question, we need to recall the classification of rocks into igneous, sedimentary, and metamorphic types and identify which of the given options falls under the sedimentary category.
Correct Option: A) Sandstone is a clastic sedimentary rock formed from the compaction and cementation of sand grains.
The question asks to identify the physical quantity for which 'Newton' is the unit of measurement. This requires knowledge of fundamental SI units and their corresponding physical quantities.
Correct Option: C) force
Newton is the SI unit of force. This is a fundamental concept in physics, derived from Newton's second law of motion.