Which answer will come next in the given problem figure Series?
Problem Figure:
Option Figure:
The problem involves identifying the pattern in a series of figures and predicting the next figure. The sequence shows a transformation of shapes connected by a line.
Option B shows two circles connected by a diagonal line, which matches the expected pattern.
Correct Option: B) Two circles connected by a diagonal line
This question asks for the ratio of the mass of hydrogen to the mass of oxygen in water. To determine this, we need to consider the chemical formula of water and the atomic masses of hydrogen and oxygen.
B) 1:8 – This is the correct ratio derived from the atomic masses and the chemical formula of water.
To answer this question, we need to understand the classification of animals based on their body temperature regulation. Animals are broadly classified into warm-blooded (homeothermic) and cold-blooded (poikilothermic) animals. Warm-blooded animals maintain a constant internal body temperature regardless of the external environment, while cold-blooded animals' body temperatures fluctuate with the ambient temperature.
Correct Option: A) Parrot
The question asks to identify the country that hosts the Academy Awards (Oscars) annually. This is a general knowledge question related to international cinema awards.
Correct Option: D) USA
The Academy Awards, widely known as the Oscars, are prestigious awards for cinematic achievements in the American and international film industry. They are presented annually by the Academy of Motion Picture Arts and Sciences (AMPAS), an American professional honorary organization. The ceremony is consistently held in Los Angeles, California, USA.
To identify a pair of twin prime numbers, we need to understand two definitions:
We will check each given option against these definitions.
Let's apply these steps to the options.
Correct Option: D) (71, 73) is a pair of twin prime numbers because both 71 and 73 are prime numbers, and their difference is \(73 - 71 = 2\).
To determine the number of water molecules in one molecule of washing soda, we need to recall the chemical formula for washing soda. Washing soda is a common name for hydrated sodium carbonate. The chemical formula explicitly states the number of water molecules associated with each formula unit of sodium carbonate.
D) 10 is the correct answer because the chemical formula for washing soda is \(\text{Na}_2\text{CO}_3 \cdot 10\text{H}_2\text{O}\), indicating 10 molecules of water of crystallization.
The question asks to identify the sport associated with Satyawart Kadiyan. This is a general knowledge question about famous Indian sports personalities. Recalling the achievements and sport of well-known athletes is key to answering such questions.
C) Wrestling. Satyawart Kadiyan is an accomplished Indian freestyle wrestler.
The question asks to identify the metal that reacts with steam to form a metal oxide and hydrogen gas. This involves understanding the reactivity series of metals and their reactions with water in different forms (cold water, hot water, steam).
D) Aluminium reacts with steam to form aluminium oxide and hydrogen gas. Aluminium is a moderately reactive metal that displaces hydrogen from steam.
To find the area of a triangle given the coordinates of its three vertices, we can use the determinant formula (also known as the shoelace formula or surveyor's formula). This formula is efficient and directly calculates the area without needing to calculate side lengths or angles.
Identify the coordinates: Let the vertices of the triangle be \(A = (x_1, y_1)\), \(B = (x_2, y_2)\), and \(C = (x_3, y_3)\). Given coordinates are: \(A = (1, 2)\), so \(x_1 = 1, y_1 = 2\) \(B = (-4, -3)\), so \(x_2 = -4, y_2 = -3\) \(C = (4, 1)\), so \(x_3 = 4, y_3 = 1\)
Apply the area formula: The area of a triangle with vertices \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) is given by the formula:
\[ \text{Area} = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| \]Substitute the values into the formula:
\[ \text{Area} = \frac{1}{2} |1(-3 - 1) + (-4)(1 - 2) + 4(2 - (-3))| \]Perform the calculations:
Now, sum these values:
\[ \text{Sum} = -4 + 4 + 20 = 20 \]Calculate the final area:
\[ \text{Area} = \frac{1}{2} |20| = \frac{1}{2} \times 20 = 10 \]The area of the triangle is 10 square units.
C) 10 sq. units is the correct answer, as calculated using the determinant formula for the area of a triangle.
You are given a statement and two conclusions. Based on the statement and the aspects involved, you need to determine which of the conclusions are implicit.
Statement:
Use energy-saving lights for school education lighting.
Conclusions:
I. Energy-saving lights help reduce the consumption of electricity.
II. Schools use more electricity than homes.
Only conclusion I is implicit.
Only conclusion II is implicit.
Both conclusions I and II are implicit.
Neither conclusion I nor II is implicit.
We need to analyze the given statement and determine which of the conclusions logically follow from it. An implicit conclusion is something that is suggested or understood without being directly stated.
Correct Option: A) Only conclusion I is implicit.
Conclusion I is directly implied by the term "energy-saving lights." The purpose of using such lights is to save energy, which means reducing electricity consumption.