The question asks for the location of the North Eastern Regional Language Centre. This is a factual question related to institutions in India, specifically in the North Eastern region. Knowledge of major educational and cultural institutions and their locations is important for competitive exams.
Correct Option: C) Guwahati is the correct answer because the North Eastern Regional Language Centre (NERLC), under the Central Institute of Indian Languages (CIIL), is situated in Guwahati, Assam.
Select the number that will replace the question mark (?) in the given series.
1, 11, 20, 28,?
The problem asks us to find the next number in a given series: 1, 11, 20, 28, ?. We need to identify the pattern or rule governing the sequence of numbers.
Let's find the difference between each adjacent pair of numbers in the series.
The differences we found are 10, 9, 8. This sequence of differences is decreasing by 1 each time. This indicates a consistent arithmetic progression in the differences.
Following the pattern (10, 9, 8), the next difference should be \(8 - 1 = 7\).
To find the next number in the original series, we add this predicted difference (7) to the last known term (28).
\(28 + 7 = 35\)
The number that replaces the question mark is 35.
A) 35 — This is derived by identifying the pattern of decreasing differences (10, 9, 8, ...) and applying the next difference (7) to the last term (28).
This problem involves analyzing logical statements and deriving conclusions. We can use Venn diagrams to visually represent the relationships described in the statements and then check which conclusions logically follow.
C) Both conclusion (I) and conclusion (II) follow.
To find the number of sides of a regular polygon given its interior angle, we can use the formula for the interior angle of a regular polygon. Alternatively, we can first find the exterior angle, which is often simpler, and then use its relationship with the number of sides.
The formula for each interior angle of a regular polygon with \(n\) sides is given by:
\[ \text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n} \]We are given that the interior angle is \(144^\circ\). So,
\[ 144^\circ = \frac{(n-2) \times 180^\circ}{n} \]Multiply both sides by \(n\):
\[ 144n = (n-2) \times 180 \]\[ 144n = 180n - 360 \]Subtract \(180n\) from both sides:
\[ 144n - 180n = -360 \]\[ -36n = -360 \]Divide by \(-36\):
\[ n = \frac{-360}{-36} \]\[ n = 10 \]The sum of an interior angle and its corresponding exterior angle is \(180^\circ\). So, if the interior angle is \(144^\circ\), the exterior angle is:
\[ \text{Exterior Angle} = 180^\circ - \text{Interior Angle} \]\[ \text{Exterior Angle} = 180^\circ - 144^\circ \]\[ \text{Exterior Angle} = 36^\circ \]The formula for each exterior angle of a regular polygon with \(n\) sides is:
\[ \text{Exterior Angle} = \frac{360^\circ}{n} \]Both methods yield \(n=10\).
Correct Option: C) 10
This problem involves calculating the actual profit percentage when a seller not only marks up the price but also uses a false weight. We will assume a base cost price for a certain weight and then calculate the selling price based on the stated profit and the actual weight delivered.
Correct Option: D) 33.3%
The question asks for the nominal cost per meal under the 'Maa' scheme launched by the Government of West Bengal in 2021. This is a factual question related to a specific government welfare scheme.
A) ₹5 is the correct answer. The 'Maa' scheme provides meals at a nominal cost of ₹5 per meal to poor people.
The question asks about Dobereiner's triads and how many elements were in each triad. This requires recalling Dobereiner's classification system for elements.
Correct Option: B) Each of Dobereiner's triads contained 3 elements. The term "triad" itself signifies a group of three.
This is a circular seating arrangement problem. We need to deduce the positions of the five girls (M, N, O, P, Q) around a circular table based on the given clues and then identify who is sitting third to the right of Q.
C) N is sitting third to the right of Q.
The question asks to identify the first para-athlete to receive the Padma Bhushan award in 2022. This requires knowledge of recent national awards and their recipients, specifically in the field of para-sports.
Correct Option: A) Devendra Jhajharia was conferred with the Padma Bhushan award in 2022, becoming the first para-athlete to receive this prestigious honor. He is a javelin thrower who has won multiple Paralympic medals, including two gold medals (2004 Athens, 2016 Rio) and a silver medal (2020 Tokyo).
The question asks to identify the state where the Annual Boat Race Festival is held. This requires knowledge of cultural festivals and their geographical locations in India.
Correct Option: A) Kerala
The Annual Boat Race Festival, most famously represented by the Nehru Trophy Boat Race, is a significant cultural event held in the backwaters of Kerala. These races, featuring traditional snake boats (Chundan Vallams), are a major tourist attraction and an integral part of Kerala's cultural heritage, especially during the Onam festival.