This is a blood relation problem. We need to decode the given expression 'M × N ÷ O – P + Q' step-by-step using the provided code language to determine the relationship between M and Q.
Correct Option: B) Mother
The problem asks us to identify the letter-cluster pair that does not follow the same pattern as the others, based on the English alphabetical order. We need to find a common rule or relationship between the letters in each pair and then identify the pair that deviates from this rule.
Let's analyze the pattern by comparing the corresponding letters in each pair of clusters:
Thus, options A, B, and D follow the pattern: (First letter \(+5\)) - (Second letter \(-8\)). Option C does not follow this pattern for the second letters.
This problem requires substituting the given symbols with their corresponding mathematical operators and then evaluating each expression using the order of operations (BODMAS/PEMDAS) to find which one results in 200.
First, let's list the given symbol-operator mappings:
Now, we will evaluate each option:
A) 64 P 16 S 60 R 32 Q 8
Since the result is 200, option A is the correct answer.
The problem presents an analogy where the relationship between the first pair of letter-clusters is the same as the relationship between the second pair. We need to find the missing letter-clusters, # and %, by identifying the pattern in the given analogy.
If # = WYV, then the first pair is WYV : TVS.
The pattern for the first pair is a subtraction of 3 from the alphabetical position of each letter.
We need to find % such that IKH \(\xrightarrow{-3}\) %.
So, % = FHE.
Option A suggests # = WYV and % = FHE. This matches our derived pattern for both sides of the analogy.
A) # = WYV, % = FHE. This option correctly follows the pattern of subtracting 3 from the alphabetical position of each letter from the first cluster to get the second cluster in both pairs of the analogy.
To find the amount after one year when interest is compounded half-yearly, we need to adjust the annual interest rate and the number of compounding periods. The formula for compound interest will be used, with the rate halved and the time doubled for half-yearly compounding.
Since the interest is compounded half-yearly, the annual rate needs to be divided by 2, and the number of years needs to be multiplied by 2 to get the number of compounding periods.
The formula for the amount (\(A\)) after compound interest is:
\[ A = P \left(1 + \frac{r}{100}\right)^n \]The sum of ₹60,000 will become ₹71,286 after one year.
B) ₹71,286 is the correct amount calculated using the compound interest formula for half-yearly compounding.
The problem presents a proportion in the format \(a : b :: c : d\). This notation means that the ratio of \(a\) to \(b\) is equal to the ratio of \(c\) to \(d\). We can write this as a fraction: \[\frac{a}{b} = \frac{c}{d}\]. To find the unknown value \(x\), we will set up the proportion as an equation and solve for \(x\).
C) 1.85
The question asks to identify the person who signed the Poona Pact of 1932 on behalf of Mahatma Gandhi, as Gandhi was imprisoned at the time. This requires knowledge of the historical context of the Poona Pact and the key figures involved in its negotiation and signing.
Correct Option: B) Pt. Madan Mohan Malviya signed the Poona Pact on behalf of Mahatma Gandhi. He was a prominent leader who actively participated in the negotiations leading to the pact.
Simplify: 25 ÷ {7 × (\( \frac{3}{5} \) of \( \frac{5}{9} \))}
\( \frac{85}{7} \)
\( \frac{68}{7} \)
\( \frac{73}{7} \)
\( \frac{75}{7} \)
To simplify the given expression, we will follow the BODMAS/PEMDAS rule (Brackets/Parentheses, Orders/Exponents, Division, Multiplication, Addition, Subtraction). First, we evaluate the expression inside the curly braces, starting with the 'of' operation, then multiplication, and finally the division.
Thus, the simplified value is \( \frac{75}{7} \).
D) \( \frac{75}{7} \)
The problem presents an analogy based on letter clusters. We need to find the pattern or relationship between the letters in the given pair (first part of the analogy) and then apply the same pattern to the second part to find the missing letter clusters.
If # = NIQ, then the pattern from NIQ to OJR is \(+1\) for each letter (N+1=O, I+1=J, Q+1=R). Applying the same pattern to QLT, we get Q+1=R, L+1=M, T+1=U. So, % = RMU. This matches option A.
The question asks to identify what the term 'Village Panchayat' refers to within the context of the Panchayati Raj system in India. This requires knowledge of the structure and tiers of local self-governance in rural India.
B) Local government at the village level. This accurately defines the role and position of a Village Panchayat within the Panchayati Raj system, which is the lowest tier of rural local self-governance.