To simplify the given expression, we must follow the order of operations, commonly known as BODMAS/PEMDAS. This acronym stands for Brackets (Parentheses), Orders (Exponents), Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
Solve the innermost bracket first: The expression is: \(125 \div 25 \times 6 + [3 + (8 - 2)] \div 3\) First, calculate the value inside the innermost parenthesis: \((8 - 2)\)
\[ 8 - 2 = 6 \]Substitute this back into the expression:
\[ 125 \div 25 \times 6 + [3 + 6] \div 3 \]Solve the square bracket: Next, calculate the value inside the square bracket: \([3 + 6]\)
\[ 3 + 6 = 9 \]Substitute this back into the expression:
\[ 125 \div 25 \times 6 + 9 \div 3 \]Perform Division and Multiplication from left to right: Now, we have two sets of division/multiplication operations. We perform them from left to right.
First part: \(125 \div 25 \times 6\)
Second part: \(9 \div 3\)
Substitute these values back into the expression:
\[ 30 + 3 \]Perform Addition: Finally, perform the addition:
\[ 30 + 3 = 33 \]C) 33 is the correct result after following the order of operations.
Which of the following is a precipitation reaction?
CuSOâ‚„(aq) + BaClâ‚‚(aq) → BaSOâ‚„(s) + CuClâ‚‚(aq)
Fe(s) + CuSOâ‚„(aq) → FeSOâ‚„(aq) + Cu(s)
2Alâ‚‚O₃(l) → 4Al(l) + 3Oâ‚‚(g)
CuO + Hâ‚‚ → Hâ‚‚O + Cu
A precipitation reaction is a type of double displacement reaction where two soluble ionic compounds react in an aqueous solution to form an insoluble product called a precipitate. The precipitate separates from the solution as a solid. We need to identify the reaction among the given options that produces a solid (indicated by '(s)') from two aqueous solutions (indicated by '(aq)').
A) \( \text{CuSO}_4(\text{aq}) + \text{BaCl}_2(\text{aq}) \rightarrow \text{BaSO}_4(\text{s}) + \text{CuCl}_2(\text{aq}) \). This reaction clearly shows two aqueous reactants forming an insoluble solid product (\(\text{BaSO}_4\)), which is the definition of a precipitation reaction.
This problem involves arranging people in a linear row based on given positional clues. We will start by placing individuals whose positions are directly related and then connect other individuals to this arrangement to form a complete sequence. The key is to build the sequence step-by-step, ensuring each condition is met.
B) 11 is the total number of persons seated in the row, as derived from the step-by-step arrangement.
Refer to the following letter series and answer the question.
P Q S D A B U E H I R I A A Y E J S B R X M F G U A B U E H I R
How many such vowels are there in the series each of which is immediately preceded by a consonant and also immediately followed by a consonant?
To solve this problem, we need to identify vowels that are surrounded by consonants on both sides. We will go through the given series letter by letter, checking for the pattern: Consonant - Vowel - Consonant.
Correct Option: C) 4
The question asks for the venue of the Khelo India University Games 2021. This requires knowledge of current affairs and sports events in India.
Correct Option: B) The Khelo India University Games 2021 (second edition) was indeed organised in Bengaluru, Karnataka. It was held from April 24 to May 3, 2022, primarily at the Jain University campus, Bengaluru.
This is a seating arrangement puzzle. We need to deduce the positions of eight clowns around a square table based on the given clues. Some are at corners, and some are at the exact center of the sides. All are facing the center. We will place the clowns step-by-step, starting with the most definitive clues, and then answer the final question.
Let's restart with a clearer diagrammatic approach, assuming M is at the bottom-left corner (position 1).
Final Arrangement (Clockwise from M at bottom-left corner):
1. M (corner)
2. J (side)
3. N (corner)
4. L (side)
5. I (corner)
6. P (side)
7. K (corner)
8. O (side)
Question: Who was sitting fourth to the left of I?
Starting from I (position 5) and moving left (counter-clockwise):
1st left: position 4 (L)
2nd left: position 3 (N)
3rd left: position 2 (J)
4th left: position 1 (M)
So, M is sitting fourth to the left of I.
D) M — As per the final arrangement, M is found to be fourth to the left of I.
The question asks to identify the specific day of the week when congregational prayers, known as Jumma Namaz, are performed in the community mosque according to Islamic tradition. This is a factual question related to religious practices.
Correct Option: A) Friday is the day designated for the special congregational prayers known as Jumma Namaz in Islam. These prayers are performed in the community mosque and are considered very important.
The diagram of the human alimentary canal is given below. Select the option that shows the correct matching of Column I with Column II
| Column I | Column II |
| a | i) Villi absorb water from food |
| b | ii) Length depends on food the organism eats |
| c | iii) Helps in emulsification of fats |
| d | iv) No digestion |
a-iii, b-ii, c-i, d-iv
a-i, b-ii, c-iii, d-iv
a-ii, b-iii, c-iv, d-i
a-iv, b-i, c-ii, d-iii
To solve this question, we need to correctly match the components of the human alimentary canal (Column I) with their functions or characteristics (Column II). The diagram provided helps identify the parts of the alimentary canal.
Correct Option: D) a-iv, b-ii, c-iii, d-i
Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons working in a film industry. 
How many female actors are also models?
To find the number of female actors who are also models, we need to identify the section in the Venn diagram that represents all three categories: females, actors, and models.
Correct Option: C) 17
If carbon will form C4-, then the number of electrons and protons in the carbon ion will be _______ and _______, respectively.
The problem asks for the number of electrons and protons in a carbon ion, specifically C4-. To solve this, we need to recall the atomic structure of a neutral carbon atom and understand how the formation of an ion affects the number of electrons and protons.
Correct Option: C) 10; 6