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Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which conclusions logically follow the given statements. Statements: I. Some T are M. II. No T is Y. Conclusions: I. Some M is not Y. II. Some M are T. III. All M are Y.
Option 1: Both conclusions II and III follow
Option 2: Neither conclusion follows
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: Some M is not Y – Since no T is Y and some M is T. Thus, M that is
Question : The demand for the commodity is direct but the demand for a factor of production is called a:
Option 1: crossed demand
Option 2: joint demand
Option 3: derived demand
Option 4: independent demand
Correct Answer: derived demand
Solution : The correct answer is derived demand.
Demand for a factor of production, such as labour or capital, is referred to as "derived demand". Derived demand means that the demand for these factors is derived from the demand for the final goods or services
Question : If 20% of $(x + y)$ = 30% of $(x - y)$, then $x$ is what percentage of $y$?
Option 1: 0.5%
Option 2: 5%
Option 3: 500%
Option 4: 50%
Correct Answer: 500%
Solution : Given: 20% of $(x + y)$ = 30% of $(x - y)$ ⇒ $\frac{20}{100}×(x+y)=\frac{30}{100}×(x-y)$ ⇒ $2x+2y=3x-3y$ ⇒ $x=5y$ ⇒ $\frac{x}{y}=\frac{5}{1}$ Required percentage = $\frac{x}{y}×100=\frac{5}{1}×100=500$% So, $x$ is 500% of y. Hence, the correct answer is 500%.
Question : If $x+y+z = 9$, then the value of $(x−4)^3+(y−2)^3+(z−3)^3−3(x−4)(y−2)(z−3)$ is:
Option 1: 6
Option 2: 9
Option 3: 0
Option 4: 1
Correct Answer: 0
Solution : Given: $x+y+z=9$ Solution: Let $(x–4) = a, (y−2) = b, (z−3) = c$ So, this equation stands to $(x−4)^3+(y−2)^3+(z−3)^3−3(x−4)(y−2)(z−3)$ = $a^3+b^3+c^3–3abc$ Also, We know that $a^3+b^3+c^3–3abc$ = $(a+b+c)(a^2+b^2+c^2–bc–ab–ac) $. So, $a+b+c = x−4+y−2+z−3$ ⇒ $a+b+c = x+y+z−9$ ⇒ $a+b+c = 9−9$ ⇒ $a+b+c = 0$
Question : Ethanol containing 5% water is known as :
Option 1: Dilute alcohol
Option 2: Power alcohol
Option 3: Rectified spirit
Option 4: Absolute alcohol
Correct Answer: Rectified spirit
Solution : The correct option is Rectified spirit.
Rectified spirit is a highly concentrated and pure type of alcohol that is often produced from grains or sugarcane. Because of its high alcohol concentration, which typically exceeds 95% alcohol by volume (ABV), it is frequently employed in
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. ANS, CJU, EFW, GBY, ?
Option 1: IXA
Option 2: JWA
Option 3: JXB
Option 4: IWA
Correct Answer: IXA
Solution : Given: ANS, CJU, EFW, GBY, ?
In the above-given series, add 2 to the place values of the first and third letters, and subtract 4 from the place value of the second letter to obtain the next letter cluster. ANS→A + 2 = C; N
Question : Chola inscriptions mention several categories of land, which of the following land was known as gifted to temples?
Option 1: Devadana
Option 2: Shalabhoga
Option 3: Pallichchandam
Option 4: Brahmadeya
Correct Answer: Devadana
Solution : The correct answer is Devadana.
Inscriptions from the Chola dynasty in ancient South India mention several categories of land, and the land that was known as gifted to temples was called Devadana land. Devadana land refers to land that was donated or gifted to temples
Question : How many metallic spheres, each of diameter 6 cm can be melted to mould into a solid cylinder of diameter 8 cm and height of 18 cm?
Option 2: 12
Option 3: 8
Option 4: 10
Correct Answer: 8
Solution : Given: A metallic sphere each has a diameter of 6 cm and a solid cylinder has an 8 cm diameter and height of 18 cm. The volume of a sphere = $\frac{4}{3}\pi R^3$ and the volume of a cylinder = $\pi r^2h$, where $R$ is
Question : Fill in the blank with the most appropriate option. 'Well, that was _________good,' said Harper.
Option 1: pleasing
Option 2: gorgeous
Option 3: beautiful
Option 4: pretty
Correct Answer: pretty
Solution : The correct choice is the fourth option.
Explanation: In this context, the word "pretty" is used informally to express satisfaction or approval. It is a colloquial way of saying that something is fairly good or satisfactory. In the given sentence, "pretty" suits the tone of
Question : Ravi initially had a certain number of chocolates, while Bhanu initially had 80% of the number of chocolates that Ravi initially had. Ravi gave 10% of his chocolates to his sister, while Bhanu received from his uncle another 35% of the number of chocolates he initially had. If Bhanu finally had 54 chocolates, how many chocolates did Ravi give to his sister?
Option 1: 3
Option 2: 6
Option 3: 5
Option 4: 4
Correct Answer: 5
Solution : Let the number of chocolates with Ravi be $x$. Given: The total number of chocolates with Bhanu at last = 54 Then, the number of chocolates with Bhanu = $0.8x$ The number of chocolates Ravi gave to his sister = $0.1x$ Number of chocolates with
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