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Question : Who administers the Union Territories of India as of now (2022)?
Option 1: President
Option 2: Prime Minister
Option 3: Chief Minister
Option 4: Member of Legislative Assembly
Correct Answer: President
Solution : The correct answer is President.
The Union Territories (UTs) of India are administered by the President of India through an administrator appointed by him/her. The administrator of a Union Territory is appointed by the President and functions as the head of the administration.
Question : Directions: The sub-divided diagram given below depicts the result of B.Com. students of the college for 3 years. Study the graph and answer the given questions.
In which year, did college have the best result for B.Com?
Option 1: 2007 and 2008
Option 2: 2008
Option 3: 2007
Option 4: 2006
Correct Answer: 2006
Solution : Fail percentage in 2006 = $\frac{\text{Failed students in 2006}}{\text{Total students}}×100=\frac{30}{20+60+60+30}×100=\frac{30}{170}×100=17.65\%$ Fail percentage in 2007 = $\frac{\text{Failed students in 2007}}{\text{Total students}}×100=\frac{40}{30+60+60+40}×100=\frac{40}{190}×100=21.05\%$ Fail percentage in 2008 = $\frac{\text{Failed students in 2008}}{\text{Total students}}×100=\frac{60}{50+70+60+60}×100=\frac{60}{240}×100=25\%$ So, as we can see in 2006, a lesser percentage of students have failed. Hence,
Question : The value of $x^2+y^2$, when $x = 1, y = 2$ is:
Option 1: 5
Option 2: 4
Option 3: 2
Option 4: 1
Correct Answer: 5
Solution : Given: $x = 1, y = 2$ $\therefore x^2+y^2=1^{2} + 2^{2} = 5$ Hence, the correct answer is 5.
Question : In the given figure, point O is the centre of a circle of radius 13 cm and AB is a chord perpendicular to OD. If CD = 8 cm, what is the length (in cm) of AB?
Option 1: 6 cm
Option 2: 12 cm
Option 3: 24 cm
Option 4: 28 cm
Correct Answer: 24 cm
Solution : Given, Radius = 13 cm CD = 8 cm ⇒ OC = 13 – 8 = 5 cm [As OD is the radius] In $\triangle AOC$, Using Pythagoras theorem, we get, $AO^2=OC^2+AC^2$ ⇒ $13^2=5^2+AC^2$ ⇒ $AC^2=169-25$ ⇒ $AC=\sqrt{144}$ $\therefore AC = 12$ cm Now,
Question : Directions: In the following question, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is "No Error".
I must find out (1) / some means to balance (2) / my budget. (3) / No Error. (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The phrase some means should be replaced with some other means to convey the intended meaning that the speaker must find a way to balance his budget.
The term "some other means" specifies that
Question : Directions: If in a code language, TAP is written as UUQ and BEEP is written as CAAQ, then how will LOW be written in the same language?
Option 1: MUX
Option 2: MAE
Option 3: MIX
Option 4: MEA
Correct Answer: MIX
Solution : Given: TAP is written as UUQ and BEEP is written as CAAQ.
The order of vowels = A → E → I → O → U Add one in the positional value of the consonants and vowels are coded as the previous vowels of TAP,
Question : Directions: The bar graph given below represents the number of boys in a school using three apps for three months.
What is the percentage decrease in the number of boys using Facebook from January to February?
Option 1: 26.66%
Option 2: 20%
Option 3: 21.33%
Option 4: 16.66%
Correct Answer: 16.66%
Solution : As per the given graph, The number of boys using Facebook in January = 600 The number of boys using Facebook in February = 500 The percentage decreases $=\frac{600-500}{500}×100=16.66\%$ Hence, the correct answer is 16.66%.
Question : If $\theta$ is an acute angle and $\sin(\theta +18^{\circ} )=\frac{1}{2}$, then the value of $\theta$ in circular measure is:
Option 1: $\frac{\pi}{12}$ radians
Option 2: $\frac{\pi}{15}$ radians
Option 3: $\frac{2\pi}{5}$ radians
Option 4: $\frac{3\pi}{13}$ radians
Correct Answer: $\frac{\pi}{15}$ radians
Solution : Given that $\sin(\theta +18^{\circ})=\frac{1}{2}$, we need to find the value of $\theta$ in radians. We know that $\sin30^{\circ}=\frac{1}{2}$, $\sin(\theta +18^{\circ})=\sin30^{\circ}$ $⇒\theta +18^{\circ}=30^{\circ}$ $⇒\theta=12^{\circ}$ To convert degrees to radians, we use the formula ⇒ Radians = Degrees × $\frac{\pi}{180^{\circ}}$ So, $\theta=12^{\circ}×\frac{\pi}{180}=\frac{\pi}{15}$ radians Hence, the correct
Question : Who among the following is not a Bharat Ratna recipient?
Option 1: Nelson Mandela
Option 2: Khan Abdul Ghaffar Khan
Option 3: Mother Teresa
Option 4: Baldev Singh
Correct Answer: Baldev Singh
Solution : The correct option is Baldev Singh
Baldev Singh is not a Bharat Ratna recipient. The other three, Mother Teresa (1980), Khan Abdul Ghaffar Khan (1987), and Nelson Mandela (1990), all received the prestigious award, each signifying India's recognition for their exceptional contributions to humanity.
Question : Who among the following wrote Sanskrit grammer?
Option 1: Kalidasa
Option 2: Charaka
Option 3: Panini
Option 4: Aryabhat
Correct Answer: Panini
Solution : The correct answer is Panini.
Panini wrote a book called Ashtadhyai. It is an ancient treatise on Sanskrit grammar. He lived between 4th and 5th century BC during the advent of Mauryan empire. Ashtadhyayi means eight texts which is an Sanskrit grammar book which gives
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