The number of users of only truck is approximately what percent of the users of both Car and Truck ........

Quantitative Aptitude (RBI Grade B) Case Studies

Directions: In a city ‘X’, there are 240 users who use three different types of vehicles i.e. Bike,

Car and Truck. The number of users of all the three vehicles is 2.5% of the total number of users. The number of users of Car and Truck both are 36 more than the Users of only Bikes. The number of users of Car and Bike both is equal to the number of users of Truck and Bike both. The number of users of Car and Bike both is half the number of users of only Bike and also the number of users of Truck only is 10 less than the number of users of only Bike. The number of users of only bike is 34.

The number of users of only truck is approximately what percent of the users of both Car and Truck?

This questions was previously asked in

RBI Grade B (9 November 2019)

View All RBIB Previous Year Papers

34%

36%

37%

40%

42%

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Explanation:

Let’s break down what’s going on here:

- Total users: 240.

- Only Bike users: 34.

- Users with all three vehicles: 2.5% of 240 = 6 (since 240 × 2.5% = 6).

- Users of Car & Truck (but not bike): This group is 36 more than those with only bikes, so: 34 + 36 = 70.

- Number using both Car & Bike = Number using both Truck & Bike. Call this “x.”

- Users with Car & Bike = ½ number of only Bike: so, x = 17.

- Users of only Truck: 10 less than only Bike: so, 34 – 10 = 24.

Now, the percent asked is: (Only Truck) / (Car & Truck) × 100% = (24 / 70) × 100% = 34.28% ˜ 34%.

- All statements line up with the numbers.

- What is being compared: the “only truck” group is about 34% of those using both car and truck.

So, the correct answer is:

Option 1, 34%

What this really means:

- There are fewer people using just trucks than those using both car and truck, and the difference in proportion matches the first number in your options.

- The other percent options are too high for this problem; 34% is the closest to what you get from dividing 24 by 70.