NIMCET 2008 — Reasoning PYQ

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Question

NIMCET 2008 — Reasoning PYQ

NIMCET | Reasoning | 2008

There were a total of 10 bicyles and tricycles. If the total number of wheels was 24, how many tricycles were there?

Choose the correct answer:

Explanation

1. Define the Variables:

Let the number of bicycles be $b$ and the number of tricycles be $t$ .

2. Formulate the Equations:

Based on the total number of vehicles:

$b + t = 10 \quad \text{---(Eq. 1)}$
Based on the total number of wheels (Bicycles have 2 wheels, Tricycles have 3 wheels):

$2b + 3t = 24 \quad \text{---(Eq. 2)}$

3. Solve the Equations:

From Eq. 1, we can express $b$ in terms of $t$ :

b = 10 - t

Substitute this value of $b$ into Eq. 2:

2(10 - t) + 3t = 24

20 - 2t + 3t = 24

20 + t = 24

t = 24 - 20

t = 4

4. Verification:

If $t = 4$ , then $b = 10 - 4 = 6$ .

Total wheels = $2(6) + 3(4) = 12 + 12 = 24$ .

The condition is satisfied.

Final Answer:

There were 4 tricycles.

Correct Option: (a)