The question asks for the Chairperson of the National Commission for Women (NCW) as of April 1, 2022. This requires knowledge of current affairs and the leadership of important statutory bodies in India.
Correct Option: D) Rekha Sharma was the Chairperson of the National Commission for Women as on April 1, 2022. She continues to hold this position.
To find the greatest possible length of a scale that can measure the given lengths exactly, we need to find the Highest Common Factor (HCF) of the given lengths. First, convert all lengths to a common unit (centimeters) and then find their HCF.
This means a scale of \(1 \text{ m } 32 \text{ cm}\) can measure all three poles an exact number of times.
Correct Option: D) 1 m 32 cm
This problem involves finding two numbers given their HCF (Highest Common Factor), LCM (Least Common Multiple), and their difference. We will use the fundamental relationship between HCF, LCM, and the product of two numbers, along with algebraic manipulation to solve for the numbers and then their sum.
Let the two numbers be \(a\) and \(b\).
We are given the HCF (\(H\)) and LCM (\(L\)) of the two numbers:
\[ H = 15 \]\[ L = 300 \]We know the fundamental property that for any two positive integers, the product of the numbers is equal to the product of their HCF and LCM:
\[ a \times b = H \times L \]\[ a \times b = 15 \times 300 \]\[ a \times b = 4500 \quad (1) \]We are also given that the difference between the two numbers is 15:
\[ a - b = 15 \quad (2) \]From equation (2), we can express \(a\) in terms of \(b\):
\[ a = 15 + b \]Substitute this expression for \(a\) into equation (1):
\[ (15 + b) \times b = 4500 \]\[ 15b + b^2 = 4500 \]\[ b^2 + 15b - 4500 = 0 \]This is a quadratic equation. We can solve for \(b\) using factorization or the quadratic formula. Let's try factorization. We need two numbers whose product is \(-4500\) and whose sum is \(15\). These numbers are \(75\) and \(-60\).
\[ b^2 + 75b - 60b - 4500 = 0 \]\[ b(b + 75) - 60(b + 75) = 0 \]\[ (b - 60)(b + 75) = 0 \]This gives two possible values for \(b\):
\[ b = 60 \quad \text{or} \quad b = -75 \]Since the numbers are typically considered positive in such problems (especially when dealing with HCF/LCM in this context), we take \(b = 60\).Now, find \(a\) using \(a = 15 + b\):
\[ a = 15 + 60 \]\[ a = 75 \]So, the two numbers are \(75\) and \(60\).
Finally, find the sum of the two numbers:
\[ \text{Sum} = a + b \]\[ \text{Sum} = 75 + 60 \]\[ \text{Sum} = 135 \]C) 135 — The sum of the two numbers, found by solving the system of equations derived from the HCF, LCM, and difference, is 135.
The question asks for the best strategy to avoid acquiring HIV. HIV (Human Immunodeficiency Virus) is primarily transmitted through specific bodily fluids, most commonly during unprotected sexual contact, sharing needles, or from mother to child during pregnancy, childbirth, or breastfeeding. The most effective strategies focus on preventing exposure to these fluids.
D) Restrict sex to a single known healthy person
This is the most effective strategy among the given options for preventing sexually transmitted HIV. If both partners are known to be HIV-negative and remain mutually monogamous, the risk of sexual transmission of HIV is virtually eliminated. This strategy ensures that there is no exposure to new potential sources of infection.
The problem asks us to take a given set of 3-letter words, change each letter in every word to the next letter in the English alphabetical order, and then count how many of the newly formed words contain no vowels. The vowels in the English alphabet are A, E, I, O, U.
D) None. As determined in the step-by-step analysis, none of the newly formed words (BJE, CBE, DBU, EPH, FBU) have no vowels; all of them contain at least one vowel.
The problem involves decoding a pattern in a given code language. We need to identify the rule applied to transform the letters of the given words and then apply the same rule to the target word.
Correct Option: D) VXPLW
The question asks about the head of the Supreme Court's registry. To answer this, one needs to know the administrative structure of the Supreme Court of India.
Correct Option: C) The Secretary General is the administrative head of the Supreme Court Registry. This position is crucial for the smooth functioning of the court's non-judicial operations.
Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons. ‘Hindi speakers’ are represented by the circle, ‘Urdu speakers’ are represented by the square, and ‘Tamil speakers’ are represented by the triangle. How many people can speak all the three languages?
To determine how many people can speak all three languages, we need to identify the section of the diagram where the circle (Hindi speakers), square (Urdu speakers), and triangle (Tamil speakers) all overlap.
Correct Option: D) 5
Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
A3E7S21 : 1C5G19U :: B4I11U23 : 2D9K21W :: C5H10L14 :?
The problem presents a series of alphanumeric codes and asks us to find the fifth term's related code based on the pattern observed in the first two pairs. We need to identify the transformation rule applied to each character (alphabet and number) from the first term to the second, and from the third to the fourth. Once the pattern is established, we apply it to the fifth term to find the missing code.
Let's break down the pattern for each position in the given pairs:
First Pair: A3E7S21 : 1C5G19U
The pattern for the first pair is: Alphabet +2, Number -2, Alphabet +2, Number -2, Alphabet +2, Number -2.
Second Pair: B4I11U23 : 2D9K21W
The pattern for the second pair is consistent: Alphabet +2, Number -2, Alphabet +2, Number -2, Alphabet +2, Number -2.
Now, let's apply this established pattern to the fifth term: C5H10L14
Combining these, the resulting code is 3E8J12N.
Correct Option: D) 3E8J12N
This option matches our derived code perfectly.
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.
EXAMPLE:
13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
62 : 50 :: 72 : 60 :: 82: ?
The problem presents a series of number pairs and asks us to find the missing number in the last pair based on the relationship observed in the preceding pairs. We need to identify the mathematical operation or pattern that transforms the first number into the second number in each given pair.
Correct Option: B) 70
The pattern observed is that the second number in each pair is obtained by subtracting \(12\) from the first number. Applying this rule to \(82\), we get \(82 - 12 = 70\).