NIMCET 2008 — Reasoning PYQ

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:

  $$b+t=10\text{—(Eq. 1)}$$

• Based on the total number of wheels (Bicycles have 2 wheels, Tricycles have 3 wheels):

  $$2b+3t=24\text{—(Eq. 2)}$$

3. Solve the Equations:

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

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

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)