To find the median of a set of observations, we first need to arrange the observations in ascending order. Then, we identify the middle value(s). If the number of observations is odd, the median is the single middle value. If the number of observations is even, the median is the average of the two middle values.
Correct Option: C) 8
The problem asks us to identify the odd one out among four letter-cluster pairs based on the English alphabetical order. We need to find a common pattern or rule that applies to three of the pairs and not to the fourth.
Correct Option: D) AD-GJ
The question asks about an Act related to child protection that was amended in 2021. We need to identify which of the given options underwent significant amendments in 2021 to enhance child protection measures.
A) Juvenile Justice (Care and Protection of Children) Act — The Juvenile Justice (Care and Protection of Children) Act, 2015, was amended in 2021. The amendments aimed to strengthen child protection by making District Magistrates and Additional District Magistrates responsible for overseeing the functioning of the Child Welfare Committees (CWCs) and Juvenile Justice Boards (JJBs), and empowering them to issue adoption orders. This was a significant step towards enhancing child protection measures.
To evaluate the given expression, we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS. This means we perform division before addition.
The evaluated expression is \(−2\).
Correct Option: B) \(−2\)
We need to track the number of chocolates Umesh has at each step. We will start with the initial transfer, then calculate the chocolates given away by Umesh, and finally add the chocolates Ruchi gives to Umesh.
C) 120 is the correct answer. After all the transactions, Umesh has 120 chocolates.
The question asks about the law of conservation of mass. This fundamental law in chemistry describes how mass behaves during chemical reactions. We need to identify the statement that correctly defines this law.
Correct Option: B) Mass can neither be created nor be destroyed in a chemical reaction.
This statement perfectly aligns with the Law of Conservation of Mass. In any chemical reaction, the total mass of the substances involved remains constant; it is conserved.
The question asks about the process that results in daughter cells having half the number of chromosomes as the parent cell. This is a fundamental concept in cell division, specifically related to the formation of gametes or spores.
B) meiosis — Meiosis is a reductional division where a diploid parent cell (\(2n\)) divides to produce four haploid daughter cells (\(n\)), each containing half the number of chromosomes of the parent cell. This is crucial for sexual reproduction.
This is a blood relations question where symbols represent relationships. We need to decode the given expression 'Q − R × P ÷ S − T + K' step-by-step to determine the relationship between P and K. We will assign genders and relationships based on the given codes.
Now let's trace the relationship from P to K:
Therefore, P is the father of T, and T is the mother of K. This means P is the mother's father of K.
D) Mother's father. As derived, P is the father of T, and T is the mother of K. Thus, P is K's mother's father (maternal grandfather).
To find the value of 'x', we will use the definition of the mean (average). The mean is calculated by summing all the values in a dataset and then dividing by the number of values. We are given the weights of 9 members, including 'x', and the mean weight. We can set up an equation using this information and solve for 'x'.
Correct Option: B) 63
The value of 'x' that makes the mean weight 56 kg is 63 kg.
The question asks to identify which of the given metals cannot be cut with a knife. This relates to the physical property of hardness. We need to recall the general properties of alkali metals versus transition metals.
Correct Option: B) Copper