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Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. Had I a rich person, I would share my wealth.
Option 1: No substitution required
Option 2: I am
Option 3: Had I been
Option 4: Were I
Correct Answer: Were I
Solution : The fourth option is the correct answer.
The sentence is using the subjunctive mood to express a hypothetical situation. In English, the subjunctive mood is often used to talk about unreal or hypothetical situations, wishes, suggestions, or demands. In subjunctive constructions, the verb "to
Question : Select the most appropriate ANTONYM of the given word.
Harmony
Option 1: Uniformity
Option 2: Cognizance
Option 3: Discordance
Option 4: Relegation
Correct Answer: Discordance
Solution : The correct choice is the third option.
Discordance means a lack of harmony or agreement, indicating a state of conflict or disagreement.
Harmony refers to a pleasing combination or arrangement of different elements, resulting in a peaceful and unified whole.
The meanings of the other
Question : Directions: Select the letter cluster that will replace the question mark (?) in the following series. LYR, JWP, HUN, FSL, ?
Option 1: DQK
Option 2: EQJ
Option 3: DQJ
Option 4: DPJ
Correct Answer: DQJ
Solution : Given: LYR, JWP, HUN, FSL, ?
In the above–given series, subtract 2 from each letter of the previous term to obtain the next letter cluster. LYR→L – 2 = J; Y – 2 = W; R – 2 = P JWP→J – 2 = H;
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'. I am working hard in order to earn a decent living.
Option 1: buying a decent living.
Option 2: earning a better living.
Option 3: purchase a reputed life.
Option 4: No Substitution
Correct Answer: No Substitution
The original sentence is grammatically correct and conveys the intended meaning effectively that the speaker is putting in effort to secure a satisfactory or reasonable financial situation.
Question : The average age of a team having 12 players is 24 years. If the age of the coach is also included, then the average age increases by 2 years. What is the age of the coach?
Option 1: 53 years
Option 2: 57 years
Option 3: 50 years
Option 4: 52 years
Correct Answer: 50 years
Solution : The total age of all the players = 12 × 24 = 288 years. When the coach is included, the average age increases by 2 years. The average age of the team including the coach is 24 + 2 = 26 years The total
Question : Select the most appropriate option to fill in the blank. Disturbing emotions begin to build into fear, and then ______.
Option 1: boldness
Option 2: terror
Option 3: server
Option 4: assurance
Correct Answer: terror
Solution : The correct option will be the second option.
The sentence suggests a progression from disturbing emotions building into fear, and then there is a natural continuation with the word "terror" to intensify the emotional state.
Terror denotes an extreme and intense form of fear.
Therefore,
Question : Select the most appropriate ANTONYM of the given word. Stationary
Option 1: Moving
Option 2: Immobile
Option 3: Permanent
Option 4: Stable
Correct Answer: Moving
Solution : The correct word will be the first option.
The word stationary denotes not moving. The antonym moving means to move something further in a particular direction in order to make space for somebody or something else.
The meanings of the other words are:
Question : If 5x + 3y = 15 and 2xy = 6, then the value of 5x – 3y is:
Option 1: $3\sqrt{3}$
Option 2: $3\sqrt{5}$
Option 3: $3\sqrt{2}$
Option 4: $3\sqrt{4}$
Correct Answer: $3\sqrt{5}$
Solution : Given: 2xy = 6 ⇒ xy = 3 5x + 3y = 15 Squaring both sides, ⇒ 25x2 + 9y2 + 30xy = 225 Subtracting 60xy from both sides, we get, ⇒ 25x2 + 9y2 – 30xy = 225 – 60xy
Question : If $a+b+c=3$ and none of $a,b$ and $c$ is equal to $1$, what is the value of $\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}?$
Option 1: 0
Option 2: 1
Option 3: 3
Option 4: 6
Correct Answer: 0
Solution : Given: $a+b+c=3$ and none of $a, b$ and $c$ is equal to 1. $\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}$ = $\frac{1-c+1-b+1-c}{(1-a)(1-b)(1-c)}$ = $\frac{3-(a+b+c)}{(1-a)(1-b)(1-c)}$ = $\frac{3-3}{(1-a)(1-b)(1-c)}$ = $\frac{0}{(1-a)(1-b)(1-c)}$ = $0$ Hence, the correct answer is 0.
Question : If $\sin 2\theta=\frac{\sqrt{3}}{2}$, then the value of $\sin 3\theta$ is equal to $(0^{\circ}\leq \theta\leq 90^{\circ})$:
Option 1: $\frac{1}{2}$
Option 2: $1$
Option 3: $0$
Option 4: $\frac{\sqrt{3}}{2}$
Correct Answer: $1$
Solution : $\sin 2\theta=\frac{\sqrt{3}}{2}=\sin 60^{\circ}$ $⇒2\theta = 60^{\circ}$ $⇒\theta = 30^{\circ}$ We know that, $\sin 3\theta = \sin 90^{\circ} = 1$ Hence, the correct answer is $1$.
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