To find the next number in the series, we need to identify the pattern or rule governing the sequence. We will examine the relationship between consecutive numbers and try to express each term using a mathematical formula.
The next number in the series is 120.
D) 120 — This matches our calculated value based on the identified pattern \(n^3 - n\).
This is an analogy question. We need to identify the relationship between the first pair of words (Day : Week) and then apply the same relationship to the third word (Month) to find the fourth word.
Correct Option: D) Year
The question asks to identify which of the given options is NOT a fundamental right guaranteed by the Constitution of India. To answer this, we need to recall the categories of fundamental rights enshrined in Part III of the Indian Constitution.
D) Right to profession. While the right to practice any profession is guaranteed under Article 19(1)(g) as a part of the Right to Freedom, it is not listed as a separate, overarching fundamental right category like the Right to Freedom, Right to Equality, or Right to Freedom of Religion. The Constitution groups these specific freedoms under broader categories. Therefore, presenting "Right to profession" as a distinct fundamental right category is misleading in the context of the main categories of fundamental rights.
The question asks to identify the human body part formed by the fusion of the ilium, ischium, and pubis. This requires knowledge of basic human anatomy, specifically the structure of the pelvic girdle.
Correct Option: B) Hip bone — The hip bone (also known as the coxal bone or innominate bone) is indeed formed by the fusion of the ilium, ischium, and pubis. This fusion typically occurs during adolescence.
An irrational number between 3 and 5 is:
\(\sqrt{17}\)
\(\sqrt{5}\)
\(\sqrt{3}\)
\(\sqrt{27}\)
To find an irrational number between 3 and 5, we need to convert the given options, which are in square root form, into their decimal approximations. Then, we check which of these approximations falls within the range (3, 5).
We know that \(4^2 = 16\) and \(5^2 = 25\). Since \(16 < 17 < 25\), it means \(\sqrt{16} < \sqrt{17} < \sqrt{25}\), which simplifies to \(4 < \sqrt{17} < 5\). This value is between 3 and 5. Also, 17 is not a perfect square, so \(\sqrt{17}\) is an irrational number.
We know that \(2^2 = 4\) and \(3^2 = 9\). Since \(4 < 5 < 9\), it means \(\sqrt{4} < \sqrt{5} < \sqrt{9}\), which simplifies to \(2 < \sqrt{5} < 3\). This value is not between 3 and 5.
We know that \(1^2 = 1\) and \(2^2 = 4\). Since \(1 < 3 < 4\), it means \(\sqrt{1} < \sqrt{3} < \sqrt{4}\), which simplifies to \(1 < \sqrt{3} < 2\). This value is not between 3 and 5.
We know that \(5^2 = 25\) and \(6^2 = 36\). Since \(25 < 27 < 36\), it means \(\sqrt{25} < \sqrt{27} < \sqrt{36}\), which simplifies to \(5 < \sqrt{27} < 6\). This value is not between 3 and 5.
Correct Option: A) \(\sqrt{17}\) is an irrational number, and its value is approximately 4.12, which lies between 3 and 5.
The problem asks us to identify the odd one out from a given set of numbers. This typically involves finding a common property or pattern shared by most numbers and identifying the one that does not fit that pattern.
Let's check if they are related to powers of 2:
This doesn't immediately reveal a pattern for all numbers.
Let's consider if they are multiples of a specific number other than 2.
This also doesn't show a clear pattern for all.
Let's look for a pattern related to a base number squared or cubed, plus or minus some value.
Let's re-examine the numbers and look for a simpler property. Many competitive exam questions involve prime and composite numbers.
Based on this observation, all numbers except 2 are composite numbers. 2 is the only prime number in the set.
D) 2 — All other numbers (28, 48, 58, 128) are composite numbers, meaning they have factors other than 1 and themselves. 2 is a prime number, as its only positive factors are 1 and 2. Therefore, 2 is the odd one out.
The question asks to identify the individual who never presided over the Indian National Congress (INC) as its President. To answer this, we need to recall the prominent leaders of the INC and their tenures as presidents.
B) Dr B R Ambedkar — Dr. B. R. Ambedkar, despite his immense contributions to India's independence movement and nation-building, never served as the President of the Indian National Congress. He primarily worked through other organizations and as an independent political leader advocating for the rights of Dalits and other marginalized communities.
To find the median of a set of numbers, we first need to arrange the numbers in ascending or descending order. Once ordered, the median is the middle value if the count of numbers is odd. If the count is even, the median is the average of the two middle values.
A) 64 kg — As calculated, the median weight is 64 kg.
This is an analogy question. We need to identify the relationship between the first pair of words ('Centimetre' and 'Metre') and then find a word that shares the same relationship with 'Paisa'.
Correct Option: C) Rupee
The problem can be solved by first determining the total marks required to pass. Once the passing marks are known, and given that these marks represent 60% of the maximum marks, we can set up an equation to find the maximum marks.
Thus, the maximum marks are 200.
Correct Option: D) 200