The question asks about the transfer of functions of the National Anti-Profiteering Authority (NAA) since December 2022. This requires knowledge of recent administrative changes related to GST implementation in India.
Correct Option: A) Competition Commission
To solve this letter-number-cluster series, we need to identify the pattern in the letters and the numbers separately. We will analyze how each letter position changes from one cluster to the next, and how the numbers change.
Correct Option: A) KSU 23
The letters follow a pattern of incrementing by one position in the alphabet for each corresponding letter (first, second, and third). The numbers follow a pattern of decrementing by 3.
This is a floor-based puzzle. We need to deduce the living arrangement of six people (G, H, I, J, K, X) on six different floors (1 to 6) based on the given clues. We will systematically place each person based on the definite clues and then use the relative clues to complete the arrangement.
Correct Option: A) Two
The problem asks us to identify a triad that follows the same pattern as the two given triads. We need to analyze the relationship between the letter pairs within each triad to find the underlying rule.
The established pattern is: 1. The first letter of each subsequent pair decreases by 5 (cyclically). 2. The second letter of each subsequent pair decreases by 5 (cyclically). 3. Within each pair, the second letter is 4 positions ahead of the first letter (cyclically).
A) YC-TX-OS — This triad follows the pattern. The first letters decrease by 5 (Y \(\to\) T \(\to\) O), and the second letters decrease by 5 (C \(\to\) X \(\to\) S, cyclically). Also, within each pair, the second letter is 4 positions ahead of the first letter (Y+4=C, T+4=X, O+4=S).
In this question, a group of letters is coded by using numbers and symbols as per the table given below and the conditions which follow.
| Letter | U | M | S | J | P | T | F | E | A |
| Code | 7 | 4 | @ | $ | % | * | 6 | 2 | 3 |
Conditions:
1. If the 1st letter is a vowel and the 3rd letter is a consonant, both to be coded as the code of the consonant.
2. If the 1st and last letters are vowels, both are to be coded as 'N'.
3. If the 2nd and last letters are vowels, their codes are to be interchanged.
What is the correct combination of codes (by following only the applicable condition(s)) for the following letters?
SEMTU
The problem requires us to code the given letters "SEMTU" based on a provided table and a set of conditions. We need to first find the individual codes for each letter from the table and then apply the conditions sequentially to see which one(s) are applicable.
A) @ 7 4 * 2 is the correct combination of codes after applying the applicable condition.
The question asks to identify the individual who was NOT a Mauryan ruler from the given options. To answer this, one needs to have knowledge of the Mauryan dynasty's succession and the rulers associated with it, as well as prominent figures from subsequent dynasties.
Correct Option: B) Pushyamitra was not a Mauryan ruler. He was the founder of the Shunga dynasty, which overthrew the Mauryan dynasty.
The question asks to identify the district with the highest population density according to the 2011 Census of India. This requires knowledge of the demographic data from the 2011 Census, specifically regarding population density in major Indian cities/districts.
B) North East Delhi recorded the highest population density in 2011, with 36,155 persons per square kilometer, according to the 2011 Census of India. This makes it the most densely populated district among the given choices and one of the highest in the country.
This problem involves decoding a set of relationships defined by symbols and then applying them to a given expression to determine the relationship between two individuals. We will break down the given expression step-by-step, determining the relationship between each pair of individuals.
According to the code, 'A ÷ B' means 'A is the father of B'.
So, 'M ÷ N' means 'M is the father of N'.
This implies that M is male.
According to the code, 'A – B' means 'A is the brother of B'.
So, 'N – O' means 'N is the brother of O'.
This implies that N is male. M is the father of N, and N is the brother of O. So, M is also the father of O.
According to the code, 'A + B' means 'A is the sister of B'.
So, 'O + P' means 'O is the sister of P'.
This implies that O is female. M is the father of O, and O is the sister of P. So, M is also the father of P.
According to the code, 'A × B' means 'A is the wife of B'.
So, 'P × Q' means 'P is the wife of Q'.
This implies that P is female and Q is male. M is the father of P, and P is the wife of Q. Therefore, Q is M's son-in-law.
Since P is the daughter of M and P is the wife of Q, Q is the husband of M's daughter. Therefore, M is the father of Q's wife, or simply, M is Q's wife's father.
D) Wife's Father — As derived in the step-by-step analysis, M is the father of P, and P is the wife of Q. Thus, M is the father of Q's wife, which means M is Q's wife's father.
The question asks to identify the river system that drains the Chotanagpur Plateau. This requires knowledge of the major river systems in India and their geographical distribution, specifically their drainage basins.
C) Damodar
The Damodar River is the most important river flowing across the Chotanagpur Plateau. It originates in the Palamau hills of the Chotanagpur Plateau and flows eastward, eventually joining the Hooghly River. Its basin covers a large part of the Chotanagpur Plateau, making it the primary drainage system for the region. The river is known for its rich mineral resources in its valley and was once infamous as the "River of Sorrows" due to its devastating floods, though this has been largely controlled by the Damodar Valley Corporation (DVC) projects.
Simplify: \(\frac{\sqrt{0.012321}}{\sqrt{0.001369}}\).
To simplify the given expression, we can first combine the square roots into a single fraction under a square root. Then, we can convert the decimal numbers into fractions to make the division easier. Finally, we simplify the fraction and take the square root.
The expression is given by:
\[ \frac{\sqrt{0.012321}}{\sqrt{0.001369}} \]Using the property \[\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\] , we can write:
\[ \sqrt{\frac{0.012321}{0.001369}} \]To remove the decimals, we can multiply the numerator and the denominator inside the square root by a power of 10. Both numbers have 6 decimal places, so we multiply by \(10^6\) (or 1,000,000):
\[ \sqrt{\frac{0.012321 \times 1,000,000}{0.001369 \times 1,000,000}} = \sqrt{\frac{12321}{1369}} \]Now we need to simplify the fraction \(\frac{12321}{1369}\). We can perform the division:
\[ 12321 \div 1369 = 9 \]So the expression becomes:
\[ \sqrt{9} \]The square root of 9 is 3.
\[ \sqrt{9} = 3 \]Thus, the simplified value of the expression is 3.
D) 3 is the correct answer because after combining the square roots, converting decimals to integers, and performing the division, the expression simplifies to \(\sqrt{9}\), which equals 3.