PPSC Basic Mathematics Complete year 2025 Past Papers MCQs Download PDF

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Three years ago, the average age of a family of 5 members was 17 years. A baby having been born and the average age of the family is the same as three years ago. The present age of the baby (in years) is _____?

4
2
3
None of these

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The value of (1+1/x)(1+1/(x+1))(1+1/(x+2))(1+1/(x+3)) is equal to _____?

1/x
x+4/x
x+4
None of these

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If 1/5 of 3000 keyboards are out of order, how many remain functional?

2400
2000
2200
None of these

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If $1000 is deposited in a savings account with a 2% annual interest rate, what will be the total interest after 3 years (simple interest)?

$20
$40
$60
None of these

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If a square has a side length of 5 cm, what is its area?

25 cm²
10 cm²
15 cm²
None of these

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What is the ratio of 400 meters to 2 kilometers?

1:5
1:4
2:5
None of these

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If a girl jump 820 times in an hour. How many times she jumps in 30 minutes?

300
350
410
470

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Trains leaves at 21.30 and reached at 7.30 how much time it takes.

9 Hours
10 Hours
11 Hours
8 JB

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If ABCD is a square where A(2,3), B(6,7), C(10,1), then D=?:

(6,3)
(-6,-3)
(6,-3)
(6,5)

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Explanation

We are given three vertices of a square ABCD:
$A (2, 3)$
$B (6, 7)$
$C (10, 1)$
We need to find $D (x, y)$ .
Step 1: Understanding the Square Properties
A square has equal sides and perpendicular diagonals. The diagonals also bisect each other at their midpoint.
Step 2: Find the Midpoint of Diagonal AC
The midpoint formula for two points ( $1$ $,$ $y$ $1$ $)$ and ( $2$ $,$ $y$ $2$ $)$ is:
$M = (x _{1} + x _{2/2}, y _{1} + y _{2/2})$ For diagonal AC:
$M = (2 + 10, 3 + 1/2)$ $M = (12/2, 4) = (6, 2)$ Step 3: Use Midpoint to Find D
Since diagonals bisect each other, midpoint M is also the midpoint of diagonal BD.
Using the midpoint formula for BD:
$M = (B _{x} + D _{x} \frac{B _{y} + D _{y/2}}{2,})$ Substituting B $6$ $,$ $7$ $)$ and M $6$ $,$ $2$ $)$

$(6, 2) = (6 + D _{x}, 7 + D _{y})$

Step 4: Solve for D

Equating the coordinates:

For x-coordinate:
$6 + D _{x/2} = 6$ $6 + D_{x} = 12$ $D_{x} = 6$
For y-coordinate:
$7 + D _{y} = 2$ $7 + D_{y} = 4$ $D_y = -3$

$D = (6, - 3)$

Correct option: (6, -3)

In a 5-class, rows and columns are equal. If rows are K, what will be the value of columns?

K
2K
1.5K
3K

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