In which year was the 11th Fundamental Duty added to the list of Fundamental Duties in the Indian Constitution?
The question asks about the year in which the 11th Fundamental Duty was added to the Indian Constitution. This requires knowledge of constitutional amendments, specifically those related to Fundamental Duties.
Therefore, the 11th Fundamental Duty was added in 2002.
D) 2002 — The 86th Constitutional Amendment Act, 2002, added the 11th Fundamental Duty (Article 51A(k)) to the Indian Constitution, making it a duty for parents/guardians to provide educational opportunities to their children between 6 and 14 years of age.
This is a syllogism problem. We will use Venn diagrams to represent the given statements and then check which conclusions logically follow from these diagrams.
Now let's evaluate each conclusion based on these diagrams:
B) Only conclusion I follows
To find the missing number in the series, we need to identify the pattern of differences between consecutive terms. This often involves looking at the first differences, second differences, or a combination of arithmetic and geometric progressions.
C) 3.6 — Based on the pattern of second differences, the next term in the series is 3.6.
The question asks to identify what the 'Northern Circars' refers to in India. This requires knowledge of Indian geography and historical administrative divisions, particularly along the eastern coast.
B) coastal plain — The Northern Circars was a historical division of British India, consisting of a strip of territory along the east coast of India, in what is today the state of Andhra Pradesh and parts of Odisha. It was essentially a coastal plain region.
This problem involves arranging six friends (A, B, C, D, E, F) based on their heights using the given relational statements. We will deduce their relative heights step-by-step to find the shortest person.
This can be represented as: A > B > D.
This means there is at least one person shorter than D. From step 1, we know D is shorter than A and B. So far, we have A > B > D. Since D is not the shortest, there must be someone to the right of D in the height order.
This implies that C is the second shortest person among the six friends. If we denote height order from tallest to shortest, C would be in the 5th position. Let's represent the six positions as _ _ _ _ _ _. C is at position 5: _ _ _ _ C _.
This means E is the third shortest person among the six friends. E would be in the 4th position. So, the order becomes: _ _ _ E C _.
From step 1, we have A > B > D. From step 3 and 4, we have E > C > (shortest person). We know there are 6 people. Let's try to fit A, B, D into the remaining spots.
We have the structure: _ _ _ E C _.
We know A > B > D. Also, D is not the shortest. This means D must be taller than E, C, and the shortest person. If D were shorter than E, then D would be in a position like _ _ E D C _ or _ _ E C D. But if D is shorter than E, then E would be taller than D. Let's consider the implications.
If D is not the shortest, and we have E > C > (shortest), then D must be taller than at least one of E, C, or the shortest person. However, if D is taller than E, then A > B > D > E > C > (shortest). This arrangement uses all 6 positions and fits all conditions.
Let's verify: A > B > D > E > C > F (F is the only remaining person).
This arrangement satisfies all conditions. Therefore, F is the shortest.
Correct Option: B) F
Refer to the given number, symbol series and answer the question that follows.
(Left) % Ω 8 3 1 S 2 4 @ 6 7 @ 1 & & S 5 # 2 8 @ 3 % & S 3 (Right)
How many such symbols are there (from left to right) which are immediately followed by an even number and also immediately preceded by an odd number?
The problem asks us to identify symbols in a given series that satisfy two conditions: they must be immediately preceded by an odd number and immediately followed by an even number. We need to scan the series from left to right and count how many times this pattern occurs.
% Ω 8 3 1 S 2 4 @ 6 7 @ 1 & & S 5 # 2 8 @ 3 % & S 33, 1, 7, 1, 5, 38, 2, 4, 6, 2, 8% Ω 8: Symbol is Ω, preceded by % (not odd), followed by 8 (even). Does not fit.3 1 S 2: This is 3 (odd) - 1 (odd) - S (symbol) - 2 (even). Here, S is preceded by 1 (odd) and followed by 2 (even). Found 1: (1 S 2)4 @ 6: Symbol is @, preceded by 4 (even), followed by 6 (even). Does not fit.6 7 @ 1: Symbol is @, preceded by 7 (odd), followed by 1 (odd). Does not fit.1 & & S 5 # 2: This is 5 (odd) - # (symbol) - 2 (even). Found 2: (5 # 2)8 @ 3: Symbol is @, preceded by 8 (even), followed by 3 (odd). Does not fit.3 % & S 3: No such pattern.1 S 2 and 5 # 2.A) 2 is the correct answer because we found two instances where a symbol is immediately preceded by an odd number and immediately followed by an even number.
To solve this problem, we need to first determine how many pieces can be cut from one metre of cloth. Then, we multiply this number by the total metres of cloth available to find the total number of pieces.
\[ \text{Total metres of cloth} = 22 \]
\[ \text{Total pieces} = \text{Pieces per metre} \times \text{Total metres of cloth} \]
\[ \text{Total pieces} = 5 \times 22 \]
\[ \text{Total pieces} = 110 \]
So, the tailor can get 110 pieces from 22 metres of cloth.
C) 110 — As calculated, multiplying the number of pieces per metre (5) by the total metres of cloth (22) gives 110 pieces.
This question tests understanding of Mendelian genetics, specifically the principles of dominance and independent assortment. We need to determine the dominant traits for plant height and seed shape based on the initial crosses and then apply these to the final cross.
Identify Dominant Traits:
Determine Genotypes of Parental Plants for the Final Cross:
Perform the Cross (TTrr x ttRR):
Determine the Phenotype of the Progeny (TtRr):
Therefore, the progeny plants would look like Tall plants with round seeds.
Correct Option: C) Tall plants with round seeds
The question asks about the storage location of resins and gums in plants. These substances are secondary metabolites and are often stored in specific tissues, particularly in older, non-functional parts of the plant.
Correct Option: D) old xylem — Resins and gums are commonly stored in the old, non-functional xylem, also known as heartwood. This tissue is impregnated with these substances, making it more resistant to decay and pests.
To find the area of a triangle, we use the standard formula which involves its base and height. The formula for the area of a triangle is given by half the product of its base and height.
Correct Option: D) 3463.36 cm²