Analytical Reasoning Test 1

Analytica Reasoning

Q.1 A person travels in his car at the speed of 60 KM per hour. He continually travelled for 2 hours 30 minutes from town A to town B. And stops 15 minutes at a fuel station.  If he travels 2 hours and 20 minutes more at the same speed reaches town C. 

How many miles did he travel from town B to town C? 

A) 150 miles

B) 180 miles

C) 200 miles

D) 220 miles

Solution 

First, convert the total time to hours:

2 hours 30 minutes + 2 hours 20 minutes = 

4 hours 50 minutes = 4.83 hours (approximately)

Now, we can calculate the distance travelled from B to C:

Distance = speed x time = 60 km/h x 4.83 h ≈ 290 km

To convert this to miles, multiply by 0.621371 (1 km ≈ 0.621371 miles):

290 km x 0.621371 miles/km ≈ 180 miles

So, he travelled almost 180 miles from town B to town C. 

Conversion of minutes to decimals value:

To convert 50 minutes to a decimal value (in this case, 0.83), you can divide the number of minutes by 60 (since there are 60 minutes in an hour):

50 minutes ÷ 60 = 0.83

So, the formula to convert minutes to a decimal value is:

Decimal Value = Minutes ÷ 60

Q.2 

A boy travels 10 miles toward the North and then he turns to the left and walks 5 miles. When he stops he faces to ______

A) South

B) West

C) East

D) North

The answer is _____ ?

Explanation:

1. The boy travels 10 miles north, which means he is 10 miles away from his starting point in the northern direction.

2. Then, he turns left, which means he changes direction by 90 degrees. Since he was facing north, turning left means he is now facing west.

3. He walks 5 miles in the western direction, which doesn't change his orientation. He is still facing the West.

So, when he stops, he is facing west.

Q.3 

A boy travels 10 miles toward the North and then he turns to the left and walks 5 miles. Now he turns to the left again and walks 5 miles more. When he stops he faces to ______

A) South

B) West

C) East

D) North

The correct answer is A) South

Explanation:

1. The boy travels 10 miles north, which means he is 10 miles away from his starting point in the northern direction.

2. Then, he turns left and walks 5 miles, which means he is now walking west (as we established in the previous question).

3. Next, he turns left again, changing direction by another 90 degrees. Since he was facing west, turning left means he is now facing south.

4. He walks 5 miles in the southern direction, which still needs to change his orientation. He is still facing south.

So, when he stops, he is facing the South. 

Q.4 A rectangular field is to be fenced. The width of the field is 40 hundred feet and the length is 20 hundred feet. What is the total length of the fence ______ ?

A) 40,000 ft

B) 24,000 ft

C) 12,000 ft

D) 28,000 ft

Explanation:

To find the total length of the fence, calculate the perimeter of the rectangular field:

Perimeter = 2(Length + Width)

Length = 40 hundred feet = 4,000 feet

Width = 20 hundred feet = 2,000 feet

Perimeter = 2(4,000 + 2,000)

Perimeter = 2 x 6,000

Perimeter = 12,000 feet

So, the total length of the fence is 12,000 feet.

Q.5 

A person drinks six glasses of water in a day. If takes water seven glasses alternative days per week, how much water does he drink in the month of April?

A) 200 glasses

B) 150 glasses

C) 195 glasses

D) 215 glasses

 

The correct answer is C) 195 glasses of water.

Explanation:

Let's break it down:

The person drinks 6 glasses of water on regular days.

They drink 7 glasses of water on alternate days, which means he drinks 7 glasses every other day.

Since April has 30 days, there are 15 pairs of alternate days (30/2 = 15).

So, he drinks 7 glasses on 15 days and 6 glasses on the remaining 15 days.

Total water consumption in April:

(15 days x 7 glasses) + (15 days x 6 glasses) = 105 + 90 = 195 glasses

Therefore, the person drinks 195 glasses of water in April.