PU Pre-Medical (PU-M) Past Paper 15-06-2025

Q51: A car is moving in 3 hours and 20 minutes and cover are distance of 300 km and other car is moving into hours and 80 minutes and cover are distance of 280km. What is the average speed. Give the value in kilometer per hour

82.5 km/h

90 km/h

87.1 km/h

85 km/h

Explanation

Car A:

Time = 3 hours 20 minutes = $3 + frac{20}{60} = 3.33$ hours
Distance = 300 km

Car B:

Time = 2 hours 80 minutes = $2 +8 0/6 0 = 3.33$ hours
Distance = 280 km

Total Distance

$300 , text{km} + 280 , text{km} = 580 , text{km}$

Total Time

$3.33 + 3.33 = 6.66 , text{hours}$

Average Speed Formula:

$text{Average speed} = frac{text{Total Distance}}{text{Total Time}} = frac{580}{6.66} approx 87.09 , text{km/h}$ Total Time=580/ 6.66≈87.09km/h

$boxed{87.1 , text{km/h (approx)}}$

Q52: If 2 ^𝑎 ⋅ 2^ 𝑏 = 3^ 𝑐 , what is the value of 𝑎 + 𝑏/ 𝑐 ?

2

1

0

Undefined

Explanation

$2^a cdot 2^b = 2^{a + b}$ , so the equation becomes $2^{a + b} = 3$

This is only possible when both sides equal 1 ⇒ $a + b = 0$ , $c = 0$ .

So, $frac{a + b}{c} = frac{0}{0}$ which is undefined.

Q53: If 𝑎 𝑏 𝑐 = 𝑎^2 and 𝑎 𝑐 = 2 , what is the value of b?

a ^2

𝑎^2 /2

2/ 𝑎^2

2a

Explanation

We are asked to find the value of $b$ .

Step 1: Start with the given

$abc = a^2 quad text{and} quad ac = 2$

Step 2: Substitute
$a c = 2$ into the first equation

$ab c = a^^{2} \Rightarrow b (a c) = a^^{2} \Rightarrow b (2) = a^^{2}$

Step 3: Solve for b

Q54: If our circle has 4 m radius and had covered the distance of 14 m on the circumference of a circle. Find the displacement.

4.00 m

6.20 m

7.86 m

8.00 m

Explanation

Given:

Radius of the circle $r = 4$ meters
Arc length (distance along the circumference), $s = 14$ meters

We are to find the displacement, which is the straight-line distance between the starting and ending points of the arc.

Step 1: Find the angle subtended by the arc at the center (θ in radians):

$theta = frac{s}{r} = frac{14}{4} = 3.5 , text{radians}$

Step 2: Use the chord length formula to find displacement:

$Displacement = 2 r sin (θ/2)$ $= 2 \times 4 \times sin (3.5/2) = 8 \times sin (1.75)$ $sin (1.75 radians) \approx 0.983$ $Displacement \approx 8 \times 0.983 \approx 7.864 meters$

Q55: Which of the following is irrational?√16 B. √4 C. √9 D. √11

√16

√4

√9

√11

Q56: Choose the grammatically correct sentence: (a) His hairs are white. (b) His hair is white. (c) His hair are white. (d) His white are hairs.

His hairs are white

His hair is white

His hair are white

His white are hairs.

Q57: If there is abc and a c =2 then what will be?

a^2

a^2/2

2/a^2

abc/2

Explanation

$ab c = ? and a c = 2$

You want to find the value of $b$ in terms of $a$ , assuming:.

$ab c is implied to be known, or ab c = so m ee x p ress i o n .$

If we assume:

$abc = a cdot b cdot c quad text{and} quad ac = 2,$

Then:

$ab c = a \cdot b \cdot c = b (a c) = b \cdot 2 = 2 b$

So:

$abc = 2b Rightarrow b = frac{abc}{2}$

Q58: What type of roots does the equation 𝑥 ^2 + 4 = 0 have?

Rational

Real

Irrational

Imaginary

Q59: Which of the following is/are a non-conservative force?

مندرجہ ذیل میں سے کون سی غیر قدامت پسند قوت ہے؟

Normal force

Gravitational force

Electrostatic force

None of these

Q60: What is the value of frequency of a particle performing Simple Harmonic Motion (S.H.M.) at the mean position?

Zero

Maximum

Constant

Infinite