To simplify the given expression, we need to follow the order of operations (PEMDAS/BODMAS). First, perform the operation inside the parentheses, then multiplication, and finally division.
\( (-4.6 + 0.6) \)
Adding these two numbers:
\[ -4.6 + 0.6 = -4.0 \]The expression becomes:
\[ (-4.6) \times (-4.6) \div (-4.0) \]\( (-4.6) \times (-4.6) \)
When multiplying two negative numbers, the result is positive.
\[ 4.6 \times 4.6 \]\[ 4.6 \times 4.6 = 21.16 \]The expression is now:
\[ 21.16 \div (-4.0) \]When dividing a positive number by a negative number, the result is negative.
\[ 21.16 \div (-4.0) = -5.29 \]Correct Option: A) -5.29 is the correct simplification of the given expression.
Indian currency notes are printed in which place? (as of 2016)
The question asks for the location where Indian currency notes are printed. This is a factual question related to the banking and currency system of India. One needs to know the specific printing presses responsible for producing banknotes.
Correct Option: C) Nashik is one of the four locations in India where currency notes are printed. The other three are Dewas, Mysuru, and Salboni.
The price of 4\( \frac{1}{2} \) m of cloth is Rs. 60\( \frac{3}{4} \). Find the cost per meter.
15\( \frac{1}{2} \)
13\( \frac{1}{2} \)
14\( \frac{3}{4} \)
13\( \frac{3}{4} \)
To find the cost per meter, we need to divide the total cost by the total length of the cloth. Both the length and the cost are given as mixed fractions, so the first step is to convert them into improper fractions. Then, perform the division.
The length of the cloth is given as \(4\frac{1}{2}\) m.
\[ 4\frac{1}{2} = \frac{(4 \times 2) + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2} \text{ m} \]The total price of the cloth is given as Rs. \(60\frac{3}{4}\).
\[ 60\frac{3}{4} = \frac{(60 \times 4) + 3}{4} = \frac{240 + 3}{4} = \frac{243}{4} \text{ Rs.} \]Cost per meter is calculated by dividing the total price by the total length.
\[ \text{Cost per meter} = \frac{\text{Total Price}}{\text{Total Length}} = \frac{\frac{243}{4}}{\frac{9}{2}} \]To divide by a fraction, multiply by its reciprocal.
\[ \text{Cost per meter} = \frac{243}{4} \times \frac{2}{9} \]\[ \text{Cost per meter} = \frac{243 \times 2}{4 \times 9} \]We can simplify by canceling common factors. \(243\) is divisible by \(9\) (\(2+4+3=9\), which is divisible by \(9\)). \(243 \div 9 = 27\).
\[ \text{Cost per meter} = \frac{27 \times 2}{4 \times 1} \]\[ \text{Cost per meter} = \frac{54}{4} \]Divide both numerator and denominator by \(2\).
\[ \text{Cost per meter} = \frac{54 \div 2}{4 \div 2} = \frac{27}{2} \]\[ \text{Cost per meter} = 13\frac{1}{2} \text{ Rs.} \]Correct Option: B) \(13\frac{1}{2}\)
The question asks for the number of Galilean moons of Jupiter discovered by Galileo Galilei. This is a factual question related to the history of astronomy.
Correct Option: C) 4. Galileo Galilei discovered four moons orbiting Jupiter in January 1610: Io, Europa, Ganymede, and Callisto. These are famously known as the Galilean moons.
Mica is available abundantly in which state? (as of 2016)
The question asks to identify the state in India that was abundantly rich in mica as of 2016. This requires knowledge of the geographical distribution of mineral resources in India.
Correct Option: C) Bihar was historically and as of 2016, one of the leading states in India for abundant mica deposits, particularly in the Gaya-Koderma region.
This is a coding-decoding question based on the positional values of letters in the English alphabet. We need to find the pattern used to assign numerical values to letters or words and then apply that pattern to find the value of "RING".
Correct Option: C) 48
The problem asks us to find the lower of two consecutive odd numbers whose product is 399. We can solve this by setting up an algebraic equation or by checking the options provided.
We can also test each option to see which one satisfies the condition:
Correct Option: B) 19
Between which stations does India's longest train run? (as of 2016)
Kanyakumari - Baramulla
Dibrugarh - Naliya
Dibrugarh - Kanyakumari
Thiruvananthapuram – New Delhi
The question asks to identify the stations between which India's longest train ran as of 2016. This requires knowledge of Indian Railways' longest routes during that period.
Correct Option: C) Dibrugarh - Kanyakumari
Read the following passage and answer the question based on it.
The Directive Principles of State Policy and the Fundamental Rights are parts of the Constitution of India. The former lays down the basic duties of the State towards its citizens and the duties of citizens towards the State. The latter covers the fundamental rights to which an Indian citizen is entitled.
Which conclusion can be drawn from the given passage?
Fundamental Rights are only rights and are not enforceable.
Directive Principles are a citizen's rights and are enforceable.
Directive Principles are duties that relate to what the State must fulfil.
Directive Principles cancel the Fundamental Rights.
The question asks to draw a conclusion based solely on the provided passage. We need to carefully read the passage and identify the descriptions given for Directive Principles of State Policy (DPSP) and Fundamental Rights (FR) to determine the correct statement.
C) Directive Principles are duties that relate to what the State must fulfil. This statement is a direct inference from the passage, which says that the Directive Principles "lays down the basic duties of the State towards its citizens."
What is the Siberian ibex?
Mountain Lions
Large and heavily built goats
Mountain Deer
A Type of Horse
The question asks to identify what the Siberian ibex is from the given options. This requires general knowledge about animal classification and specific knowledge about the Siberian ibex.
B) Large and heavily built goats — The Siberian ibex is indeed a species of wild goat, known for its robust build and large size, especially the males with their long, curved horns.