Eligibility
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
Solution : The fourth option is the correct answer.
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 : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Women won their present status through (1)____ and sacrifices rather than through men's kindness. Women and their supporters have fought, and in some places continue to fight for the same rights as (2)____. Laws were made to replace local customs, which denigrated and suppressed women's rights. Women have (3)_____ higher positions in the world at all levels: political, economic, and social. But in reality, women still suffer from (4)____ at various levels. For example, women work more and earn less than men. In addition to that, the majority of the world's poor and illiterate are women. The road to real (5)_____ is still long. Question: Select the most appropriate option to fill in the blank number 2.
Option 1: everyone
Option 2: men
Option 3: universal
Option 4: politician
Correct Answer: men
Solution : The second option is the correct choice.
The context suggests that women and their supporters have fought for the same rights as a specific group. Men is the most suitable option, as it reflects the contrast between women's struggle for rights and the reference to men's kindness in the previous sentence.
The meanings of other options are as follows:
Question : Anxiety disorders are characterized by:
Option 1: Persistent feelings of euphoria
Option 2: Excessive and irrational fear
Option 3: Sudden mood swings
Option 4: Hallucinations
Correct Answer: Excessive and irrational fear
Solution : Anxiety disorders are characterized by excessive and irrational fear or worry that is out of proportion to the actual threat or situation. This fear can interfere with daily functioning and cause significant distress.
Question : Directions: One morning, Riti walks towards the east and sees her friend Sanju coming from a direction. She sees Sanju's shadow towards his right. From which direction Sanju is coming?
Option 1: South
Option 2: East
Option 3: North
Option 4: West
Correct Answer: North
Solution : Firstly, we will draw the diagram as per the given instructions –
As the sun rises in the East in the morning, the shadow will be formed in the opposite direction of the sun. Here, Sanju's shadow is towards his right, so the left side of the Sanju is facing the sun.
So, Sanju is coming from the north direction to go to her college. Hence, the third option is correct.
Question : Sales forecasting is the basis on which a business firm prepares its annual plan for production and sales which feature of planning is highlighted in the above case?
Option 1: Planning focuses on achieving objectives
Option 2: Planning is continuous
Option 3: Planning is primary function of management
Option 4: Planning is futuristic
Correct Answer: Planning is futuristic
Solution : Planning always means looking ahead or planning is a futuristic function. Planning is never done for the past. All the manager try to make prediction and assumption for future. In the above case, Sales forecasting is the basis on which a business firm prepares its annual plan for production and sales. Planning is futuristic or forward looking feature is highlighted. Hence, option 4 is the correct answer.
Question : The value of $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ is:
Option 1: $\frac{35}{48}$
Option 2: $\frac{59}{48}$
Option 3: $\frac{49}{24}$
Option 4: $\frac{35}{24}$
Correct Answer: $\frac{59}{48}$
Solution : Given: $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ We know that $\tan 30^{\circ} = \frac{1}{\sqrt{3}}$ $\sin 30^{\circ} = \frac{1}{2}$ $\cos 45^{\circ} = \frac{1}{\sqrt{2}}$ $\cos 37^{\circ} = \cos (90^{\circ} - 53^{\circ}) = \sin 53^{\circ}$ $\sin 37^{\circ} = \sin (90^{\circ} - 53^{\circ}) = \cos 53^{\circ}$ $\tan 18^{\circ} \tan 72^{\circ} = 1$ (since $18^{\circ}$ and $72^{\circ}$ are complementary angles) Putting the values, we get: $= \frac{4 (\frac{1}{\sqrt{3}})^2 + (\frac{1}{2})^2 (\frac{1}{\sqrt{2}})^2 + \sec ^2 48^{\circ} - \tan ^2 48^{\circ}}{\sin 53^{\circ} \sin 53^{\circ} + \cos 53^{\circ} \cos 53^{\circ} + 1}$ $= \frac{4 (\frac{1}{3}) + \frac{1}{8} +1}{(\sin ^2 53^{\circ} + \cos ^2 53^{\circ}) + 1}$ Since $\sin ^2 \theta + \cos ^2 \theta = 1$ for any angle $\theta$, the denominator becomes $1 + 1 = 2$. So, the expression simplifies to: $=\frac{4 (\frac{1}{3}) + \frac{1}{8} + 1}{2}$ $=\frac{ (\frac{4}{3}) + \frac{1}{8} + 1}{2}$ $=\frac{ (\frac{32+3+24}{24}) }{2}$ $=(\frac{59}{48})$ Hence, the correct answer is $(\frac{59}{48})$.
Question : A bus travels first 100 km at a speed of 100 km/hr. It covers the next 150 km at a speed of 90 km/hr. What is the average speed?
Option 1: 120.50 km/hr
Option 2: 93.75 km/hr
Option 3: 100.25 km/hr
Option 4: 156.25 km/hr
Correct Answer: 93.75 km/hr
Solution : Given: A bus travels first 100 km at a speed of 100 km/hr. It covers the next 150 km at a speed of 90 km/hr. Time to cover the first 100 km at a speed of 100 km/hr = $\frac{100}{100}$ = 1 hour Time to cover the next 150 km at a speed of 90 km/hr = $\frac{150}{90}$ = $\frac{5}{3}$ hours Now, the total distance = 100 + 150 = 250 km and the total time taken = 1 + $\frac{5}{3}$ = $\frac{8}{3}$ hours So, the average speed = $\frac{\text{Total distance}}{\text{Total time}}=\frac{250}{\frac{8}{3}}=250×\frac{3}{8}= 93.75$ km/hr Hence, the correct answer is 93.75 km/hr.
Question : Statement 1: Performance appraisal is unrelated to staffing.
Statement 2: Performance appraisal helps in assessing employee job performance.
Option 1: Both statements are true.
Option 2: Statement 1 is true, but statement 2 is false.
Option 3: Statement 2 is true, but statement 1 is false.
Option 4: Both statements are false.
Correct Answer: Statement 2 is true, but statement 1 is false.
Solution : The correct answer is (c) Statement 2 is true, but statement 1 is false.
Statement 1 is false because performance appraisal is indeed related to staffing. Performance appraisal is an integral part of the staffing process, as it involves evaluating and assessing the job performance of employees.
Statement 2 is true. Performance appraisal is a systematic process that helps in assessing and evaluating employees' job performance, providing feedback on their strengths and areas for improvement.
Question : Directions: Which number will appear at the bottom face in the last cube?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 1
Correct Answer: 6
Solution : The bottom face in the last cube is the face opposite to 4. Taking dice positions 2 and 3 with 4 as the common face,
Moving clockwise from the common face with 4,
Pairs of opposite faces –
So, the bottom face in the last cube is the face containing 6. Hence, the third option is correct.
Question : Select the correct passive form of the given sentence. The department conferred a scholarship to Kailash.
Option 1: A scholarship had been conferred to Kailash by the department.
Option 2: A scholarship is being conferred to Kailash by the department.
Option 3: A scholarship was conferred to Kailash by the department.
Option 4: A scholarship has been conferred in Kailash by the department.
Correct Answer: A scholarship was conferred to Kailash by the department.
Solution : The third option is the correct choice.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the passive voice.
The structure of the passive voice in the case of the simple past tense is: "Singular object + was + past participle of the verb + prepositional phrase + by followed by the agent of the action."
Therefore, the correct answer is: "A scholarship was conferred to Kailash by the department."
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