To find the maximum number of gift packs that can be made without any items left over, we need to find the largest number that can divide both the number of big diaries and the number of small diaries evenly. This is equivalent to finding the Highest Common Factor (HCF) or Greatest Common Divisor (GCD) of the two numbers.
The common factors of 20 and 16 are \(1, 2, 4\).
The highest among the common factors is 4. So, HCF(20, 16) = 4.
The HCF represents the maximum number of identical gift packs that can be made such that each pack contains both big and small diaries, and no diaries are left over.
If 4 gift packs are made:
This means each of the 4 gift packs will contain 5 big diaries and 4 small diaries, with no diaries remaining.
Correct Option: B) 4
The question asks for the launch year of India's Mars Orbiter Mission (MOM), also known as Mangalyaan. This is a factual question related to India's space program, specifically ISRO's achievements.
B) 2013 — The Mars Orbiter Mission (MOM) was launched on November 5, 2013, from the Satish Dhawan Space Centre in Sriharikota, Andhra Pradesh.
The question asks to identify the false statement among the given options regarding mangroves. We need to evaluate each statement based on the ecological roles and current status of mangrove ecosystems.
B) Mangroves provide mangoes. This statement is false because mangroves are distinct from mango trees and do not produce mangoes.
This problem involves substituting given symbols with mathematical operators and then evaluating the resulting expression using the order of operations (BODMAS/PEMDAS).
The given expression is: \(10 \text{ R } 192 \text{ P } 48 \text{ S } 48 \text{ P } 96 \text{ Q } 1\)
Given meanings:
Substitute the symbols with the operators:
\[ 10 - 192 \div 48 \times 48 \div 96 + 1 \]Now, follow the BODMAS/PEMDAS rule:
Step 1: Perform Division operations from left to right.
First division: \(192 \div 48\)
\[ 192 \div 48 = 4 \]The expression becomes:
\[ 10 - 4 \times 48 \div 96 + 1 \]Second division: \(48 \div 96\)
\[ 48 \div 96 = 0.5 \]The expression becomes:
\[ 10 - 4 \times 0.5 + 1 \]Step 2: Perform Multiplication operations.
\[ 4 \times 0.5 = 2 \]The expression becomes:
\[ 10 - 2 + 1 \]Step 3: Perform Addition and Subtraction operations from left to right.
First, subtraction:
\[ 10 - 2 = 8 \]The expression becomes:
\[ 8 + 1 \]Finally, addition:
\[ 8 + 1 = 9 \]Thus, the value of the expression is \(9\).
B) The step-by-step calculation correctly leads to the value \(9\).
To find the ratio N:L, we need to combine the given ratios L:M and M:N. We can do this by making the common term 'M' equal in both ratios. Once we have a combined ratio L:M:N, we can easily find N:L.
We are given two ratios:
The value of M in the first ratio is 5, and in the second ratio, it is 2. To combine these ratios, we need to find the least common multiple (LCM) of 5 and 2, which is 10.
Now that M is 10 in both ratios, we can combine them to get L:M:N:
\[ L:M:N = 6:10:15 \]From the combined ratio \(L:M:N = 6:10:15\), we can see that \(L = 6\) and \(N = 15\). Therefore, the ratio N:L is:
\[ N:L = 15:6 \]Both 15 and 6 are divisible by 3. Divide both parts of the ratio by 3:
\[ N:L = \frac{15}{3} : \frac{6}{3} = 5:2 \]Correct Option: B) 5:2
10 dozen roses, 15 dozen mangoes, 20 dozen oranges are kept for sale. If \( \frac{1}{2} \), \( \frac{1}{3} \) and \( \frac{1}{4} \) of each respectively are sold, how many items are left?
To find the number of items left, we first need to calculate the total number of each item initially available. Since 1 dozen equals 12 items, we convert dozens to individual items. Then, we calculate the number of items sold for each category and subtract that from the initial quantity to find the remaining items. Finally, we sum up the remaining items from all categories.
Correct Option: D) 360
The question asks to identify the medical condition that occurs when the human body temperature falls significantly below its normal range. Understanding the definitions of the given options is key to answering this question.
B) Hypothermia
Hypothermia is a medical emergency that occurs when your body loses heat faster than it produces heat, causing a dangerously low body temperature. The normal body temperature is around \(98.6^\circ\text{F}\) (\(37^\circ\text{C}\)). When the body temperature drops below \(95^\circ\text{F}\) (\(35^\circ\text{C}\)), it is generally considered hypothermia. A drop of \(2-3.5^\circ\text{F}\) from \(98.6^\circ\text{F}\) would bring the temperature to approximately \(95.1-96.6^\circ\text{F}\), which is indicative of mild hypothermia or the onset of hypothermia.
Find the similarity among:
Vulture, Kite, Bat, Owl
These are all birds that fly at night.
These are all mammals.
All of them can fly.
There is no similarity.
The question asks to identify a common characteristic among Vulture, Kite, Bat, and Owl. We need to evaluate each option based on biological classification and observed characteristics of these animals.
Correct Option: C) All of them can fly.
The question asks for the full form of the acronym BIOS. This is a fundamental concept in computer hardware and operating systems, commonly tested in competitive exams.
Correct Option: B) Basic Input Output System. BIOS is firmware used to perform hardware initialization during the booting process (power-on startup) and to provide runtime services for operating systems and programs. It is the first software to run when a computer is turned on.
The question asks to identify which option is generally NOT a cause of cancer. We need to evaluate each option based on current scientific understanding of cancer etiology.
Based on this analysis, transmission is generally not a cause of cancer.
D) Transmission — Cancer is overwhelmingly a non-communicable disease. It is not generally transmitted from one person to another like infectious diseases. While there are extremely rare cases (e.g., organ transplantation from a cancer patient), these are not considered a general mode of cancer causation or spread.