SPSC SST SCIENCE PAST PAPER 05-05-2024 (EVENING)
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
Two elements
Five elements
Infinite elements
One element
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Explanation
The given set is a set of sets, also known as a collection of sets . It contains two elements:
{1, 2, 3} (a set of three elements) {4, 5} (a set of two elements)
Onto function
One-one function
Constant function
Identity function
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Explanation
A constant function is a function whose output value is always the same , regardless of the input. In other words, a function f(x) is constant if f(x) = k, where k is a constant. A function whose range consists of just one element is called a constant function because it maps every input to the same output value.
Triangle
Circle
Straight line
Parabola
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Explanation
The graph of a linear function is always a straight line . Linear functions have the form: f(x) = mx + b Where m is the slope and b is the y-intercept . The graph of such a function is a straight line with a constant slope.
36
360
6
4
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Explanation
6^P4 can be expanded as : 6 × 5 × 4 × 3 = 360 This is a calculation of the factorial of 6 , denoted by 6! (6 factorial), but since the question uses the notation 6^P4, it's likely using the notation for permutations, where 6^P4 represents the number of ways to arrange 4 items from a set of 6.
(tanα - tanβ) / (1 + tanαtanβ)
(tanα + tanβ) / (1 - tanαtanβ)
(cotα + cotβ) / (1 - cotαcotβ)
(cotα - cotβ) / (1 + cotαcotβ)
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Explanation
This is the formula for the tangent of the sum of two angles: t an(α + β) = (tanα + tanβ) / (1 - tanαtanβ)
25 ways
24 ways
20 ways
None of the Above
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Explanation
Since the table is round , there is no fixed position or "head" of the table, and therefore, the arrangements are considered to be circular permutations. The formula for circular permutations is (n-1)! where n is the number of persons. In this case, n = 5, so : (5-1)! = 4! = 24
Linear function
Quadratic function
Odd function
Even function
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Explanation
The given function f(x) = sin(x)cos(x) is an odd function because it satisfies the condition: f(-x) = -f(x)
To see why, let's simplify the function:
f(x) = sin(x)cos(x) = (1/2)sin(2x)
Now, substitute -x for x:
f(-x) = (1/2)sin(-2x) = -(1/2)sin(2x) = -f(x)
So, the function f(x) = sin(x)cos(x) is an odd function.
جنریٹرز میں، فلوکس لنکیج کی تبدیلی کی شرح زیادہ سے زیادہ ہوتی ہے جب کنڈلی سے گزر رہی ہوتی ہے؟
Vertical position
Horizontal position
Diagonal position
At an angle of 45°
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Explanation
In generators, the rate of change of flux linkage is maximum when the coil is moving through the horizontal position.
ایک سیدھی تار کے لیے، حوصلہ افزائی کرنٹ پر منحصر ہے؟
The speed of movement of wire
The length of wire
The magnitude of magnetic flux density
All of the above
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Explanation
For a straight wire, the induced current (I) depends on:
The speed of movement of the wire (v) : The faster the wire moves, the greater the induced current. The length of the wire (L) : The longer the wire, the greater the induced current. The magnitude of the magnetic flux density (B) : The stronger the magnetic field, the greater the induced current. The induced current is given by Faraday's law of induction: I = -BLv
Where:
I is the induced current B is the magnetic flux density L is the length of the wire v is the speed of movement of the wire
700 m
600 km
600 m
750 km
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Explanation
When the speed of sound in water is 1500 meters per second and the reflected sound waves are detected after 0.40 seconds, the depth of water can be calculated as follows :
depth = speed x time / 2 depth = 1500 x 0.40 / 2 depth = 600 meters
