Question : In an army selection process, the ratio of selected to unselected candidates was $4:1$. If 90 fewer candidates had applied and 20 fewer were selected, the ratio of selected to unselected candidates would have been $5:1$. How many candidates had applied for the process?
Option 1: 1650
Option 2: 3300
Option 3: 825
Option 4: 4950
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Correct Answer: 1650
Solution : Let the selected and unselected candidates be $4x$ and $x$ Total number of candidates = $5x$ If 90 fewer candidates had applied, the total number of candidates = $5x - 90$ If 20 fewer were selected, the number of selected candidates then = $4x - 20$ So, number of unselected candidates = Total number of candidates - Number of selected candidates. = $5x - 90 - (4x-20)$ = $x-70$ New ratio: $\frac{(4x-20)}{(x-70)}=\frac{5}{1}$ ⇒ $x=330$ Total number of candidates applied = $5x$ = 1650. Hence, the correct answer is 1650.
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Question : In an army selection process, the ratio of selected to unselected candidates was 4 : 1. If 60 fewer candidates had applied and 20 fewer were selected, the ratio of selected to unselected candidates would have been 5 : 1. How many candidates had applied for the process?
Option 1: 1250
Option 3: 900
Option 4: 950
Question : In an army selection process, the ratio of selected to unselected was 5:1. If 100 fewer people had applied and 20 fewer had been selected, the ratio of selected to unselected candidates would have been 6 : 1. How many candidates had applied for the process?
Option 1: 5520
Option 2: 2760
Option 3: 1380
Option 4: 8280
Question : Select the option that expresses the given sentence in passive voice.
The Indian army airlifted thousands of people from Ukraine.
Option 1: Thousands of people had been airlifted from Ukraine by the Indian army.
Option 2: Thousands of people have been airlifted from Ukraine by the Indian army.
Option 3: Thousands of people are airlifted from Ukraine by the Indian army.
Option 4: Thousands of people were airlifted from Ukraine by the Indian army.
Question : The value of $(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90})$ is:
Option 1: $\frac{1}{10}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{3}{20}$
Option 4: $\frac{7}{20}$
Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, then select the option "No Error".
Although people had been on watch and/ the watchkeepers were very tired,/ everyone were up and buzzing.
Option 1: No Error
Option 2: Although people had been on watch and
Option 3: the watchkeepers were very tired,
Option 4: everyone were up and buzzing.
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