The problem asks us to identify numbers in a given series that are immediately preceded by a symbol and immediately followed by a symbol. We need to scan the series from left to right and count such instances.
5 $ 6 @ 3 * 6 4 & $ 2 9 5 9 € £ 7 8 # 1 & 25 $ 6: Here, 6 is preceded by '$' (symbol) but followed by '@' (symbol). So, 6 fits the pattern. ( $ 6 @ )@ 3 *: Here, 3 is preceded by '@' (symbol) and followed by '*' (symbol). So, 3 fits the pattern. ( @ 3 * )* 6 4: Here, 6 is preceded by '*' (symbol) but followed by '4' (number). Does not fit.6 4 &: Here, 4 is preceded by '6' (number). Does not fit.4 & $: Here, '&' is a symbol.& $ 2: Here, '$' is a symbol.$ 2 9: Here, 2 is preceded by '$' (symbol) but followed by '9' (number). Does not fit.2 9 5: Here, 9 is preceded by '2' (number). Does not fit.9 5 9: Here, 5 is preceded by '9' (number). Does not fit.5 9 €: Here, 9 is preceded by '5' (number). Does not fit.9 € £: Here, 9 is preceded by '9' (number). Does not fit.€ £ 7: Here, '£' is a symbol.£ 7 8: Here, 7 is preceded by '£' (symbol) but followed by '8' (number). Does not fit.7 8 #: Here, 8 is preceded by '7' (number). Does not fit.8 # 1: Here, 1 is preceded by '#' (symbol) but followed by '&' (symbol). So, 1 fits the pattern. ( # 1 & )# 1 &: Here, '#' is a symbol.1 & 2: Here, '&' is a symbol.C) 3 is the correct answer because we found three numbers (6, 3, and 1) that are immediately preceded by a symbol and immediately followed by a symbol.
The problem asks us to find the missing letter clusters, denoted by # and %, such that the relationship between the letter-cluster pair on the left side of '::' is the same as that on the right side. We need to identify the pattern or rule connecting the letters within each cluster and between the clusters.
B) # = ROU, % = IFL. This option correctly identifies the pattern where each letter in the second cluster is 3 positions backward in the alphabet compared to the corresponding letter in the first cluster.
The question asks to identify the personality known as 'Assam Kesari' for their role in the Indian freedom movement. This requires knowledge of prominent figures from Assam's history during the independence struggle and the honorific titles bestowed upon them.
Correct Option: A) Ambikagiri Raichoudhury was a revolutionary poet and freedom fighter from Assam who was honored with the title 'Assam Kesari' for his courageous contributions to the Indian freedom movement.
The ratio of the lengths of two corresponding sides of two similar triangles is 10 : 9. The ratio of the areas of these two triangles, in the order mentioned, is:
This problem involves the properties of similar triangles. A key theorem states that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Correct Option: D) 100 : 81
The problem presents a numerical series, and we need to find the next term. The most common approach for such problems is to identify the pattern in the differences between consecutive terms.
Thus, the next number in the series is 812.
A) 812 — This is the correct number derived by following the established pattern of subtracting consecutive even numbers (2, 4, 6, 8, 10).
The question asks to identify who among the given options is NOT eligible for subsidy under the PMAY-U 2.0 scheme. This requires knowledge of the eligibility criteria for the Pradhan Mantri Awas Yojana - Urban (PMAY-U) scheme, particularly its exclusion clauses.
Correct Option: C) Families given housing by any government scheme in the past 20 years
This problem involves simple interest. We are given the amount (Principal + Interest) at two different time points. We can use these two pieces of information to find the simple interest earned over a specific period, which will then allow us to calculate the annual simple interest, the principal, and finally the rate of interest.
Let the principal be \(P\) and the annual simple interest rate be \(R\). The formula for the amount (\(A\)) on simple interest is:
\[ A = P + \frac{P \times R \times T}{100} \]where \(T\) is the time in years.
According to the problem, the amount in 2 years is ₹1,750. So, we have our first equation:
\[ 1750 = P + \frac{P \times R \times 2}{100} \quad \text{(Equation 1)} \]The amount in 4 years is ₹3,250. So, we have our second equation:
\[ 3250 = P + \frac{P \times R \times 4}{100} \quad \text{(Equation 2)} \]Subtract Equation 1 from Equation 2 to find the interest earned in \(4 - 2 = 2\) years:
\[ (P + \frac{P \times R \times 4}{100}) - (P + \frac{P \times R \times 2}{100}) = 3250 - 1750 \] \[ \frac{P \times R \times 4}{100} - \frac{P \times R \times 2}{100} = 1500 \] \[ \frac{P \times R \times (4 - 2)}{100} = 1500 \] \[ \frac{P \times R \times 2}{100} = 1500 \]The interest earned in 2 years is ₹1,500. Since simple interest is constant for equal periods, the annual simple interest is:
\[ \text{Annual Interest} = \frac{1500}{2} = \text{₹}750 \]Now, we can find the principal \(P\). The amount in 2 years was ₹1,750. This amount is the principal plus the interest for 2 years.
\[ P = \text{Amount in 2 years} - \text{Interest for 2 years} \] \[ P = 1750 - 1500 \] \[ P = \text{₹}250 \]Finally, we can calculate the rate of interest \(R\). We know the principal \(P = \text{₹}250\), the annual interest is ₹750, and the time \(T = 1\) year for annual interest. The formula for simple interest (\(SI\)) is:
\[ SI = \frac{P \times R \times T}{100} \] \[ 750 = \frac{250 \times R \times 1}{100} \] \[ 750 \times 100 = 250 \times R \] \[ R = \frac{750 \times 100}{250} \] \[ R = 3 \times 100 \] \[ R = 300\% \]Correct Option: C) 300%
This problem involves applying a set of given symbol interchanges to a mathematical expression and then evaluating the modified expression using the order of operations (BODMAS/PEMDAS).
D) 368 is the correct answer.
This is a coding-decoding type of question where we need to identify the pattern in the given pairs and apply the same logic to find the missing term. The pattern involves both alphabetical positions and numerical values.
Correct Option: D) MP -6 is the correct answer, as it follows the established pattern of (First letter -3, Second letter +4, Number -4).
The question asks to identify the correct path in MS Word 2019 to change the page orientation. This is a common function in word processing, and its location is usually under a tab related to page setup or layout.
A) Page Layout → Orientation: This is the correct sequence of steps to change the page orientation in MS Word 2019. The "Page Layout" tab contains the "Orientation" command, which allows users to select between portrait and landscape page orientations.