CUET PG 2023 — Reasoning PYQ

By observing the first two figures, we can see that the central number is the result of multiplying the top and bottom numbers and adding it to the product of the left and right numbers.

Let:

• $T$ = Top number

• $B$ = Bottom number

• $L$ = Left number

• $R$ = Right number

• $C$ = Central number

The logic follows this equation:

2. Verifying the Pattern

Let's check if this works for the first two crosses:

• First Cross: $T=6,B=7,L=5,R=4$

  $$(6\times 7)+(5\times 4)=42+20=62(\text{Doesn’t match }33)$$

Wait, let's try a different combination! Let's try multiplying vertically and horizontally differently:

The actual pattern is: (Left $\times$ Right) + (Top + Bottom)? No.

Let's try: (Top $\times$ Bottom) - (Left + Right)? No.

Let's try: (Left $\times$ Right) + (Top + Bottom)? No.

Let's try: (Left $\times$ Right) + (Top $\times$ Bottom)? No.

Correct Pattern Found:

Multiply the numbers on the Left and Right, then add the product of the Top and Bottom.

Wait, looking closely at the first image:

$(5\times 4)+(6+7)=20+13=33$. Correct!

The logic is:

• First Cross: $(5\times 4)+(6+7)=20+13=33$

• Second Cross: $(6\times 7)+(5+4)=42+9=51$

3. Solving for the Missing Number

Now apply the same logic to the third cross where $L=9,R=5,T=1,B=2$:

The missing number is 48.