SPSC MATHEMATICS 25 YEARS PAST PAPERS
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- A pair of straight line
- A hyperbola
- A cylinder
- A cone
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Explanation
In 3D, if z doesn’t appear in the equation, the surface is a cylinder - it extends infinitely along the z-axis.
x² - y³ = a² doesn’t have z in it, so for every (x,y) that satisfies it, z can be anything.
Last verified on 04-06-2026
- 1 and 3
- 0 and 4
- -1 and 5
- -2 and 6
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Explanation
If one root of the equation is 2, then we can factor the left-hand side of the equation as (x - 2)(x^2 - 4x + 3) = (x - 2)(x - 1)(x - 3) = 0.
This tells us that the other two roots are 1 and 3.
Last verified on 04-06-2026
- 118
- 187
- 243
- None of these
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Explanation
The sequence follows a pattern of multiplying by 3:
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
81 × 3 = 243
This is a geometric sequence with a common ratio of 3.
Last verified on 26-04-2026
- Squares
- Rectangles
- Ellipses
- None of these
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Explanation
- Confidence sets show possible values of estimated parameters.
- For one coefficient, it is an interval (line).
- For two coefficients, it becomes a 2D region.
- That region is typically elliptical in shape.
Last verified on 22-04-2026
- 7:15
- 15:23
- 21:29
- None of these
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Explanation
To compare the ratios, we can convert them to fractions and then decimals:
7:15 = 0.4667
15:23 = 0.6522
21:29 = 0.7241
The largest ratio is 21:29.
Last verified on 02-04-2026
ایک ہیکٹر میں کتنے ایکڑ ہیں؟
- 4.47
- 3.47
- 2.47
- None of these
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Explanation
1 hectare = 2.47105 acres (approx. 2.47 acres).The hectare is a metric unit of area.It is commonly used in land measurement.It is equivalent to 10,000 square meters.Last verified on 24-01-2026
- 6
- 4
- 2
- None of these
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Explanation
Combined rate = 1/8 + 1/24 = 1/6.
Hence, time taken together = 6 days.
- 500 oranges
- 700 oranges
- 900 oranges
- None of these
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Explanation
60% of total = 420 → total x = 420 ÷ 0.6.
Hence, total oranges = 700.
- 24 cm
- 26 cm
- 22 cm
- None of these
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Explanation
Add length and width → 8 + 3 = 11.
Multiply by 2 → 2 × 11 = 22 cm.
- 250
- 260
- 270
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
Explanation
c² = 150² + 200² = 62500.
c = 250 cm.
