This question tests knowledge about the pH level at which tooth decay begins. Tooth decay is caused by acids produced by bacteria in the mouth. Understanding the critical pH value is key to answering this question.
Correct Option: B) less than 5.5
Tooth decay starts when the pH of the mouth falls below 5.5. At this acidic level, the enamel begins to demineralize, leading to cavities.
The question asks for the name of ISRO's first sun mission, which was planned for 2019. This is a factual question related to India's space program.
ISRO's first dedicated solar mission is indeed named Aditya-L1. While initially planned for 2019, it was eventually launched on September 2, 2023. The mission's objective is to study the Sun's corona, solar emissions, solar winds, flares, and Coronal Mass Ejections (CMEs), and it is placed in a halo orbit around the Sun-Earth system's first Lagrange point (L1).
D) Aditya L1 is the correct name for ISRO's first sun mission. "Aditya" means Sun in Sanskrit, which is fitting for a solar observation mission, and L1 refers to the Lagrange point 1, where the spacecraft is positioned.
We are given the ratio of the average ages of two groups of people within a larger group of five, and the difference between these averages. We need to find the average age of all five people. We will set up equations based on the given ratios and differences, solve for the individual averages, and then calculate the total sum of ages to find the overall average.
Let the average age of the three people be \(A_3\) and the average age of the other two people be \(A_2\).
According to the problem, the ratio of their average ages is 9:7.
\[ \frac{A_3}{A_2} = \frac{9}{7} \]This can be written as \(A_3 = 9k\) and \(A_2 = 7k\) for some constant \(k\).
The difference between the averages is given as 12.
\[ A_3 - A_2 = 12 \]Substitute the expressions for \(A_3\) and \(A_2\) in terms of \(k\) into the difference equation:
\[ 9k - 7k = 12 \]\[ 2k = 12 \]\[ k = \frac{12}{2} \]\[ k = 6 \]Now, calculate the actual average ages:
Calculate the sum of ages for each group:
Calculate the total sum of ages for all five people:
\[ \text{Total sum of ages} = 162 + 84 = 246 \]Calculate the average age of all five people:
\[ \text{Average age of 5 people} = \frac{\text{Total sum of ages}}{\text{Total number of people}} = \frac{246}{5} \]\[ \text{Average age of 5 people} = 49.2 \]C) 49.2 is the average age of all 5 people, as calculated by finding the sum of ages of both groups and dividing by the total number of people.
Choose the suitable Venn diagram for following words:
"BUS, ENGINE, PISTON"
To determine the suitable Venn diagram for the words "BUS, ENGINE, PISTON," we need to understand the hierarchical relationship between these items. A bus contains an engine, and an engine contains pistons. Therefore, the correct Venn diagram should reflect this nested relationship.
Correct Option: D) Option D correctly represents the hierarchical relationship of bus, engine, and piston.
The question asks to identify the period in the Modern Periodic Table that contains 32 elements. This requires knowledge of the structure of the periodic table, specifically the number of elements in each period.
Based on this structure, Period 6 is the first period to contain 32 elements.
A) Period 6 contains 32 elements. These include 2 elements in the s-block, 10 elements in the d-block, 6 elements in the p-block, and 14 elements in the f-block (lanthanides), totaling \(2 + 10 + 6 + 14 = 32\) elements.
6 4 8 5 5 3 7 3 7 2 5 8 8 7 8 1 5 5 3
How many 8 are there in the above sequence that are completely divisible by the number on their left but not divisible by the number on their right? Sequence:
The problem asks us to find the count of the digit '8' in the given sequence that satisfies two conditions simultaneously: it must be completely divisible by the number immediately to its left, AND it must NOT be divisible by the number immediately to its right. We will systematically scan the sequence, identify each '8', and then check these two conditions for each identified '8'.
A) 2. There are two '8's in the sequence that meet both criteria: the first '8' (preceded by 4, followed by 5) and the third '8' (preceded by 8, followed by 7).
This question tests the understanding of potential energy, specifically gravitational potential energy. Potential energy is stored energy due to an object's position or state. Gravitational potential energy depends on an object's mass, the acceleration due to gravity, and its height above a reference point.
A) Raised Hammer — A raised hammer is at a certain height above the ground. Due to its position in the Earth's gravitational field, it possesses gravitational potential energy, which can be calculated using the formula \(PE = mgh\).
The question asks to identify the original habitat of the 'Toda Tribe'. This requires knowledge of the geographical distribution of major tribal groups in India.
The Toda people are an ancient indigenous Dravidian ethnic group who live exclusively on the Nilgiri Hills in the southern Indian state of Tamil Nadu. Their traditional territory is characterized by rolling grasslands and shola forests.
Correct Option: B) The Toda Tribe is indigenous to and primarily resides in the Nilgiri Hills, a mountain range in the Western Ghats, located in Tamil Nadu, India. They are known for their distinctive barrel-vaulted houses and their buffalo-centric culture.
To determine Aarti's birth year, we need to find her age or a direct relation to a known birth year. We will analyze each statement to see if it provides sufficient information, either alone or in combination with others.
Analyze Statement II: "Pranavi’s sister was born in 1982."
This statement gives us a definite birth year for Pranavi's sister. Let's denote Pranavi's sister's birth year as \(\text{BYS}_{\text{Pranavi}}\).
\[ \text{BYS}_{\text{Pranavi}} = 1982 \]Analyze Statement III: "Aarti’s sister is two years younger than Pranavi’s sister, who is eight years younger than Pranavi."
From the first part of Statement III, Aarti's sister is two years younger than Pranavi's sister. This means Aarti's sister was born two years after Pranavi's sister.
\[ \text{BYS}_{\text{Aarti's sister}} = \text{BYS}_{\text{Pranavi's sister}} + 2 \]\[ \text{BYS}_{\text{Aarti's sister}} = 1982 + 2 = 1984 \]From the second part of Statement III, Pranavi's sister is eight years younger than Pranavi. This means Pranavi was born eight years before Pranavi's sister.
\[ \text{BYS}_{\text{Pranavi}} = \text{BYS}_{\text{Pranavi's sister}} - 8 \]\[ \text{BYS}_{\text{Pranavi}} = 1982 - 8 = 1974 \]Analyze Statement I: "Aarti is six years older than Pranavi."
If Aarti is six years older than Pranavi, it means Aarti was born six years before Pranavi.
\[ \text{BYS}_{\text{Aarti}} = \text{BYS}_{\text{Pranavi}} - 6 \]Now, substitute the birth year of Pranavi (calculated in step 3) into this equation:
\[ \text{BYS}_{\text{Aarti}} = 1974 - 6 = 1968 \]Thus, Aarti was born in 1968.
To arrive at Aarti's birth year, we needed information from all three statements:
Therefore, all three statements are necessary to answer the question.
C) All I, II and III are necessary
The question asks to identify the city located on the bank of the Sabarmati River from the given options. This requires knowledge of the geographical locations of major cities in Gujarat and the rivers they are associated with.
Correct Option: D) Ahmedabad is famously situated on the banks of the Sabarmati River, which flows through the heart of the city.
