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Question : Select the most appropriate SYNONYM of the given word. RELEASE
Option 1: Restrain
Option 2: Confine
Option 3: Acquit
Option 4: Retain
Correct Answer: Acquit
Solution : The correct choice is the third option.
Explanation: While "release" implies setting free, "acquit" means to free someone from a criminal charge, indicating a similar notion of liberation but in a legal context.
The meanings of the other options are as follows:
Question : If $\left (2a-1 \right )^{2}+\left (4b-3 \right)^{2}+\left (4c+5 \right)^{2}=0$, then the value of $\frac{a^{3}+b^{3}+c^{3}-3abc}{a^{2}+b^{2}+c^{2}}$ is:
Option 1: $1\tfrac{3}{8}$
Option 2: $2\tfrac{3}{8}$
Option 3: $3\tfrac{3}{8}$
Option 4: $0$
Correct Answer: $0$
Solution : Given: $(2a-1)^{2}+(4b-3)^{2}+(4c+5)^{2}=0$ ⇒ $ 2a-1 = 0$, $4b-3$ and $4c+5=0$ [If the sum of squares is equal to zero then the individual term will also be zero] ⇒ $a=\frac{1}{2}$, $b=\frac{3}{4}$, and $c=\frac{-5}{4}$ $\therefore \small \frac{a^{3}+b^{3}+c^{3}-3abc}{a^{2}+b^{2}+c^{2}}$ = $\frac{(\frac{1}{2})^3 +(\frac{3}{4})^3 + (\frac{-5}{4})^3 - 3\times \frac{1}{2}\times \frac{3}{4}\times\frac{-5}{4}}{(\frac{1}{2})^2 +(\frac{3}{4})^2
Question : Choose the word that can substitute the given group of words.
A house of shelter for a dog
Option 1: Barns
Option 2: Kennel
Option 3: Den
Option 4: Hangar
Correct Answer: Kennel
Solution : The correct choice is the second option.
A kennel refers specifically to a shelter or house for a dog. It is a term commonly used to describe a structure where dogs are kept, housed, or bred.
Question : The total discount on INR 1860 due after a certain time at 5% is INR 60. find the time after which it is due?
Option 1: 9 months
Option 2: 8 months
Option 3: 7 months
Option 4: 10 months
Correct Answer: 8 months
Solution : Amount = INR 1,860 Rate = 5% Total discount = INR 60 Principal, P = 1860 – 60 = 1,800 Let n be the time(in years). Simple interest, SI = $\frac{PnR}{100}$ ⇒ 60 = $\frac{1800 × n × 5}{100}$ ⇒ n = $\frac{6000}{9000}$ =
Question : A, B, and C can do a piece of work in 30, 20, and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?
Option 1: $9 \frac{3}{8}$ days
Option 2: $4 \frac{8}{8}$ days
Option 3: $8 \frac{4}{13}$ days
Option 4: $3 \frac{9}{13}$ days
Correct Answer: $9 \frac{3}{8}$ days
Solution : Given: A, B, and C can do a piece of work in 30, 20, and 10 days, respectively. Total work = time × efficiency The total work of A, B, and C is LCM of (30, 20, 10) = 60 units Efficiency of
Question :
The sexual reproductive organs of aspergillus are:
Option 1:
Spermatium and oogonium
Option 2:
Antheridium and oogonium
Option 3: Spermatium and ascogonium
Option 4: Antheridium and ascogonium
Correct Answer: Antheridium and ascogonium
Solution : The correct option is Antheridium and ascogonium.
Aspergillus is a genus of filamentous fungus with branching hyphae and conidiophores that generate asexual spores known as conidia.
sexual reproduction in the Aspergillus genus may involve specialised structures such as ascogonia and antheridia.
Question : A train is moving at the speed of 54 km/h. How many seconds it will take to cover a distance of 450 meters?
Option 1: 60
Option 2: 30
Option 3: 45
Option 4: 36
Correct Answer: 30
Solution : The speed of the train is 54 km/h = $\frac{54 \times 1000}{3600} = 15$ m/s. Distance = 450 meters The time taken to cover a distance is given by the formula: Time = $\frac{\text{Distance}}{\text{Speed}}$ Substituting the given values, Time = $\frac{450}{15} = 30$ seconds Hence,
Question : If $x=y+z$, then $x^{3}-y^{3}-z^{3}$ is:
Option 1: $0$
Option 2: $3xyz$
Option 3: $-3xyz$
Option 4: $1$
Correct Answer: $3xyz$
Solution : Given: $x=y+z$ Putting the value of $x$ in $x^{3}-y^{3}-z^{3}$ $=(y+z)^{3}-y^{3}-z^{3}$ $=y^{3}+z^{3}+3yz(y+z)-y^{3}-z^{3}$ $=3yz(y+z)$ $=3xyz$ Hence, the correct answer is $3xyz$.
Question : What was the shape of the Great Bath of Mohenjo Daro?
Option 1: Rectangular
Option 2: Square
Option 3: Elliptical
Option 4: Circular
Correct Answer: Rectangular
Solution : The correct answer is Rectangular.
The Great Bath of Mohenjo Daro, an ancient archaeological site of the Indus Valley Civilization, had a rectangular shape. It was a large, well-designed public bathing area with steps leading down into the water. It is considered one of
Question : Skoda, which launched sedan 'Rapid', is an automobile manufacturer based in
Option 1: Japan
Option 2: France
Option 3: South Korea
Option 4: Czech Republic
Correct Answer: Czech Republic
Solution : The correct answer is the Czech Republic.
In 1859, Skoda Works was founded as an investment firm. Emil Skoda, a Czech engineer, founded it in Plzen, then in the Kingdom of Bohemia, in 1859. It was one of the biggest European industrial conglomerates
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