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Question : Select the most appropriate synonym of the word ‘consensus’ from the following sentence.
The landowner and the tenant mutually came to an agreement for decisive acceptance of its clause.
Option 1: Decisive
Option 2: Acceptance
Option 3: Mutually
Option 4: Agreement
Correct Answer: Agreement
Solution : The correct choice is the fourth option.
In the given sentence, the phrase decisive acceptance of its clause indicates that both the landowner and the tenant have reached an agreement on specific terms or clauses.
The word consensus refers to general agreement or harmony
Question : A cask having a capacity of 600 litres is initially filled with wine. From this cask $y$ litres of wine are first drawn and replaced with water. From this mixture, 120 litres are drawn and replaced with water. From this further diluted mixture. 120 litres are drawn again and replaced with water. The ratio of wine to water in the cask is now 12 : 13. What is the value of $y$?
Option 1: 125
Option 2: 150
Option 3: 200
Option 4: 100
Correct Answer: 150
Solution : Let the initial amount of water in the cask be $y$ litres. The initial amount of wine in the cask = $600-y$ litres The ratio of wine to water = 12 : 13 So, Ratio of wine is to mixture = 12 : 25 We
Question : If the three medians of a triangle are the same then the triangle is:
Option 1: equilateral
Option 2: isosceles
Option 3: right angled
Option 4: obtuse angle
Correct Answer: equilateral
Solution : If the three medians of a triangle are of equal length, then the triangle is equilateral. Hence, the correct answer is equilateral.
Question : What chemical element does ' N ' stand for in the periodic table?
Option 1: Neptunium
Option 2: Nitrogen
Option 3: Neon
Option 4: Neodymium
Correct Answer: Nitrogen
Solution : The correct option is nitrogen.
The chemical element with the symbol 'N' in the periodic table is nitrogen. Approximately 78% of the air on Earth is composed of the diatomic molecule nitrogen (N2), which is an essential part of the atmosphere. It is
Question : In 2010, considering its outstanding value and vulnerability, UNESCO recognised "Mudiyettu", an age-old ritual-drama of ___________, as an "intangible cultural heritage of humanity".
Option 1: Tamil Nadu
Option 2: Karnataka
Option 3: Kerala
Option 4: Telangana
Correct Answer: Kerala
Solution : The correct option is Kerala.
UNESCO bestowed the prestigious title of "intangible cultural heritage of humanity" upon Kerala, India, in 2010, recognising the exceptional value and fragility of Mudiyettu, an ancient ritual-drama enacting the battle between the goddess Kali and a demon. This vibrant
Question : Directions: In the following question, two statements are given followed by two or four conclusions, I, II, III and IV. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can be drawn from the given statements. Indicate your answer. Statements: All aeroplanes are trains. Some trains are chairs. Conclusions: I. Some aeroplanes are chairs. II. Some chairs are aeroplanes. III. Some chairs are trains. IV. Some trains are aeroplanes.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions III and IV follow
Option 4: None follows
Correct Answer: Only conclusions III and IV follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some aeroplanes are chairs – From the Venn diagram, it is evident that there is no direct relation between aeroplanes
Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=50^{\circ}$, BE and CF are perpendiculars on AC and AB at E and F, respectively. BE and CF intersect at H. The bisectors of $\angle \mathrm{HBC}$ and $\angle H C B$ intersect at P. $\angle B P C$ is equal to:
Option 1: $155^\circ$
Option 2: $100^\circ$
Option 3: $115^\circ$
Option 4: $120^\circ$
Correct Answer: $155^\circ$
Solution : Since H is the orthocentre, $\angle BHC = 180^\circ - 50^\circ = 130^\circ$ Now, P is the incentre of $\triangle BHC$ $\angle BPC = 90^\circ +\frac{1}{2}\angle BHC= 90^\circ +\frac{130^\circ}{2}= 90^\circ +65^\circ= 155^\circ$ Hence, the correct answer is $155^\circ$.
Question : Kanchan lent INR 10,000 for 2 years and INR 5,000 for 4 years at the same rate of simple interest. If the total interest received by Kanchan is INR 2,000, then what was the rate of interest?
Option 1: 5%
Option 2: 2%
Option 3: 3%
Option 4: 4%
Correct Answer: 5%
Solution : Let's denote the rate of interest as $R$. The simple interest (SI) can be calculated using the formula $SI=\frac{P×R×T}{100}$, where P is the principal amount, R is the rate of interest, and T is the time in years. For the first loan of INR 10,000
Question : The distance of the Sun from the Earth is about ______ light minutes.
Option 1: 6
Option 2: 4.3
Option 3: 12
Option 4: 8
Correct Answer: 8
Solution : The correct answer is 8.
One light year is the period it takes light to traverse in one year. Light from the sun's photosphere takes about 8.3 minutes to reach Earth, implying that the sun is only 8.3 light minutes or 1.5781e-5 light years distant.
Question : A merchant marks up the price of his goods by 40% more than the cost price. He then sells $\frac{1}{5}$ th of his goods at a discount of 10%, half of the goods at the marked price and the rest of the goods at a discount of 20%. Find his profit percentage.
Option 1: 20.4%
Option 2: 30.4%
Option 3: 28.8%
Option 4: 14.6%
Correct Answer: 28.8%
Solution : Let the cost price of 1 kg of goods be Rs. 100. Let the total goods be 100 kg. $\therefore$ Total cost price of 100 kg of goods = 100 × 100 = 10000 The marked price of 1 kg of the goods = 100
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