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 : 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 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 : 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 ratio of the angles of a triangle is 1 : 2 : 6. What is the smallest angle?

Option 1: $40^\circ$

Option 2: $45^\circ$

Option 3: $30^\circ$

Option 4: $20^\circ$

Question : If the areas of two similar triangles are in the ratio 36 : 121, then what is the ratio of their corresponding sides?

Option 1: 6 : 11

Option 2: 11 : 5

Option 3: 6 : 5

Option 4: 5 : 12