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 2: 3300

Option 3: 900

Option 4: 950

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

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 : 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.

Question : Three numbers are such that their sum is 50, the product is 3750 and the sum of their reciprocals is $\frac{31}{150}$. Find the sum of the squares of the three numbers.

Option 1: $2500$

Option 2: $1250$

Option 3: $950$

Option 4: $122$