PPSC Deputy Accountant Past Paper 2026 Solved

Correct answer: 21. With x 20-cent coins and 54 − x 50-cent coins: 0.20x + 0.50(54 − x) = 20.70, so x = 21. Check: 21 × 0.20 + 33 × 0.50 = 20.70.

Background: Problems with two unknown quantities need two equations: one for the count (x + y = 54) and one for the total value (0.20x + 0.50y = 20.70).

• 17: 17 does not satisfy the value equation.
• 19: 19 does not satisfy the value equation.
• 25: 25 does not satisfy the value equation.

Did you know? You can always check an answer by substituting it back: 21 × 0.20 + 33 × 0.50 = 20.70.

Memory trick: One equation for count, one for value.

Correct answer: 48. x² − y² = (x + y)(x − y) = 16 × 3 = 48.

Background: This uses the difference-of-squares identity, x² − y² = (x + y)(x − y), so you do not need to find x and y.

• 2: 2 does not equal 16 × 3.
• 20: 20 does not equal 16 × 3.
• 25: 25 does not equal 16 × 3.

Did you know? The same identity helps with quick mental sums such as 99² − 1² = 100 × 98.

Memory trick: Sum × Difference = 16 × 3 = 48.

Correct answer: x + y = 0. For (a, −a), x + y = a + (−a) = 0, so every such point lies on x + y = 0.

Background: For the point (a, −a), the x- and y-coordinates are opposites, so their sum is always zero.

• x = a: x = a holds only for one specific value of a, not for every such point.
• y = x: y = x holds only when a = 0.
• y = −a: y = −a is a horizontal line for one specific a, not all such points.

Did you know? Examples are (1, −1), (2, −2), and (3, −3). All lie on a line through the origin with slope −1.

Memory trick: (a, −a): a + (−a) = 0.

Correct answer: 6050. The nth term is 2n × n² = 2n³, so the sum is 2(1³ + 2³ + … + 10³) = 2 × 55² = 2 × 3025 = 6050.

Background: Each term has the form (2n) × n² = 2n³, so the series is 2(1³ + 2³ + … + 10³).

• 5060: 5060 does not match the computed sum.
• 4080: 4080 does not match the computed sum.
• 3050: 3050 does not match the computed sum.

Did you know? The sum of the first n cubes equals the square of the sum of the first n numbers: [n(n + 1) ÷ 2]².

Memory trick: Sum of cubes = (sum of numbers)², then multiply by 2.

Correct answer: 14 m. Circumference = 22,000 m ÷ 500 = 44 m, and diameter = 44 × 7 ÷ 22 = 14 m.

Background: The distance covered in one revolution is the wheel’s circumference, so circumference = total distance ÷ number of revolutions.

• 8 m: 8 m does not match the circumference of 44 m.
• 16 m: 16 m does not match the circumference of 44 m.
• 32 m: 32 m does not match the circumference of 44 m.

Did you know? The value 22/7 is a convenient approximation of π (3.14159…).

Memory trick: Distance ÷ revolutions = circumference; diameter = circumference × 7/22.

Correct answer: 150.24 cm. New total = 20 × 150 + 155 = 3155 cm, and new average = 3155 ÷ 21 ≈ 150.24 cm.

Background: The new average = (old total + new value) ÷ (new number of students).

• 151 cm: 151 cm is not 3155 ÷ 21.
• 153.5 cm: 153.5 cm is not 3155 ÷ 21.
• None of these: “None of these” is incorrect because 150.24 cm is correct.

Did you know? Adding a value just above the old average raises the average only slightly, which is why the answer is close to 150.

Memory trick: Total first, then add the new value, then divide.

Correct answer: 50. The first four multiples of 5 are 5, 10, 15, 20, and 5 + 10 + 15 + 20 = 50.

Background: The first four multiples of 5 are 5, 10, 15, and 20. Their sum is 50.

• 25: 25 is too small.
• 55: 55 is not the sum of those numbers.
• 60: 60 is not the sum of those numbers.

Did you know? A shortcut formula: the sum of the first n multiples of k is k × n(n + 1) ÷ 2, so 5 × 4 × 5 ÷ 2 = 50.

Memory trick: 5 × (1 + 2 + 3 + 4) = 5 × 10 = 50.