The problem presents a number series, and we need to find the pattern to determine the missing term. We will analyze the differences between consecutive terms to identify a repeating or alternating pattern.
Let's re-check the question and options. The correct answer is given as 97. This suggests a different pattern or an error in my interpretation. Let's look at the series as two interleaved series or a different grouping.
Let's consider the series as: 33, 38, 43, 54, 65, 70, 75, 86, ?
Differences: \((+5), (+5), (+11), (+11), (+5), (+5), (+11)\)
The pattern of differences is \(+5, +5, +11\). This sequence of three differences repeats.
Let's re-examine the differences carefully:
The sequence of differences is: \(5, 5, 11, 11, 5, 5, 11\).
This is a repeating block of differences: \((5, 5, 11, 11)\). Let's test this.
This completes one block of \((5, 5, 11, 11)\).
Now, the next block should start with \(+5\):
This completes the first three elements of the second block. The next difference in the pattern \((5, 5, 11, 11)\) should be \(+11\).
So, the missing term is \(86 + 11 = 97\).
A) 97 is the correct answer. The pattern of differences between consecutive terms is a repeating sequence of \((+5, +5, +11, +11)\). Following this pattern, the term after 86 is \(86 + 11 = 97\).
The question asks about the subject of the Poona Pact. To answer this, recall the historical context and the key provisions of the Poona Pact, specifically who it aimed to represent and what electoral arrangements it established.
Therefore, the Poona Pact was directly related to reserving electoral seats for the depressed classes.
B) Reserving electoral seats for depressed classes — This is correct. The Poona Pact was an agreement to provide reserved seats for the depressed classes (later known as Scheduled Castes) in the British Indian legislature, in lieu of separate electorates.
To find the period (time) for which the compound interest was calculated, we will use the compound interest formula. We are given the principal amount, the rate of interest, and the compound interest earned. We first calculate the total amount and then substitute the values into the formula to solve for time.
Identify the given values:
Calculate the Total Amount (\(A\)). The total amount is the sum of the principal and the compound interest:
\[ A = P + CI \]\[ A = 20,000 + 3,328 \]\[ A = \text{₹}23,328 \]Use the compound interest formula:
\[ A = P \left(1 + \frac{R}{100}\right)^n \]where \(n\) is the period in years.Substitute the known values into the formula:
\[ 23,328 = 20,000 \left(1 + \frac{8}{100}\right)^n \]Simplify the term inside the parenthesis:
\[ 23,328 = 20,000 \left(1 + 0.08\right)^n \]\[ 23,328 = 20,000 \left(1.08\right)^n \]Isolate the term with \(n\):
\[ \frac{23,328}{20,000} = (1.08)^n \]\[ 1.1664 = (1.08)^n \]Determine the value of \(n\) by recognizing powers of 1.08:
Since \((1.08)^n = 1.1664\), we can conclude that \(n = 2\).
B) The period is 2 years, as calculated by the compound interest formula.
The question asks about the administrative control of the Border Roads Organisation (BRO). To answer this, one needs to know the primary function of the BRO and which government ministry is responsible for its operations.
A) Ministry of Defence is the correct answer. The Border Roads Organisation (BRO) was established in 1960 and plays a vital role in India's security by developing and maintaining road networks in border areas. Its administrative control lies with the Ministry of Defence.
To find the Least Common Multiple (LCM) of a set of numbers, we can use the prime factorization method. This involves finding the prime factors of each number and then multiplying the highest powers of all unique prime factors together.
Thus, the LCM of 6, 72, and 120 is 360.
Correct Option: D) 360
The question asks to identify the Executive Director of the Reserve Bank of India (RBI) appointed in December 2020. This is a factual question related to current affairs and appointments in a key financial institution.
D) Rohit Jain was appointed as the Executive Director of the Reserve Bank of India in December 2020. His appointment was announced on December 1, 2020.
The question asks to identify the main river to which the Mechi river is a tributary. This requires knowledge of the river systems in India, specifically the Mahananda river basin.
C) Mahananda — The Mechi river is a significant tributary of the Mahananda river. The Mahananda river system is an important part of the river network in North Bengal and Bihar.
To find the area of a triangle given its vertices, we can use the determinant formula or the base-height formula. For the given coordinates, plotting them on a graph helps visualize the triangle and makes the base-height method straightforward.
A) 1 sq. units is the correct answer, as calculated using the base-height formula.
To find the shortest person, we need to establish the relative heights of all individuals mentioned in the group based on the given statements. We will use inequality signs to represent the relationships and then combine them to form a complete order.
Correct Option: B) Raju is the shortest of all in the group, as established by the combined height relationships.
This problem involves calculating profit percentage based on marked price, selling price, and cost price. We will assume a marked price to simplify calculations and then determine the cost price using the given loss percentage. Finally, we will calculate the profit percentage if the article is sold at the marked price.
Correct Option: D) 3.33%