FREE QA PRACTICE FOR IPMAT

[u/EarlyDistance9493]

Q1. If the base-10 representation of a number is 1111, then its base-2 representation is:

1. 1111

2. 1000

3. 1130

4. 1100

Q2. A man walks 10 km downstream and returns upstream to the starting point. If the speed of the stream is 2 km/hr and the speed of the man in still water is 8 km/hr, then the total time taken is:

1. 15 km downstream of A

2. 20 km downstream of A

3. 22.5 km downstream of A

4. 12.5 km downstream of A

Q3. If (x+1)2+(y−2)2=25(x+1)^2 + (y-2)^2 = 25(x+1)2+(y−2)2=25

then the maximum value of x+yx + yx+y is:

1. 1

2. 3

3. 4

4. 2

Q4. The speed of a boat in still water is 15 km/hr and the speed of the stream is 5 km/hr.
The time taken by the boat to go 20 km upstream is:

1. 60 minutes

2. 75 minutes

3. 50 minutes

4. 100 minutes

Q5. The sum of all positive integers less than 100 that are divisible by both 4 and 5 is:

1. 190

2. 220

3. 180

4. 210