Correct Answer : A
Explanation :
Explanation :
a + b = 1
Correct Answered :
Wrong Answered :
MCQs
Mathematics Questions with solutions MCQs
1.
If loga/b + logb/a=log(a+b), then
A
a + b = 1
B
a - b = 1
C
a = b
D
a2 + b2 = 1
Mathematics
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2. If one root of the quadratic equation 2x² + kx - 6 = 0 is 2, then value of k is:
A
1
B
-1
C
2
D
-1
Mathematics
KUET MCA 2022
Correct Answer : B
Explanation :
Explanation :
Given: One root of 2x2 + kx – 6 = 0 is 2
Then At x = 2, the equation will be satisfied.
2 (2)2 + k × 2 – 6 = 0
8 + 2 k – 6 = 0
2 k + 2 = 0
K = –1
So now the equation becomes 2x2 + 2x – 6 = 0
For this equation, Product of the roots = (–6/2)
Product of roots = – 3
Let a and b be the roots of the equation and it is given that a = 2
2 × b = –3
B = –3/2
Hence the value of k = –1 and other root is –3/2.
Correct Answered :
Wrong Answered :
3. If repetition of the digits is allowed, then the number of even natural numbers having three digits is :
A
250
B
350
C
450
D
550
Mathematics
KUET MCA 2022
Correct Answer : C
Explanation :
Explanation :
If repetition of the digits is allowed, then the number of even natural numbers having three digits is 450.
Correct Answered :
Wrong Answered :
4. Find the radius and center of a circle given by the equation 2x² + y² - 4x -6y - 12 = 0
A
Radius = 5, Center = (2, 3)
B
Radius = 5, Center = (3, 2)
C
Radius = 1, Center = (2, 3)
D
Radius = 1, Center = (3, 2)
Mathematics
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Correct Answer : A
Explanation :
Radius = 5, Center = (2, 3)
Explanation :
Radius = 5, Center = (2, 3)
Correct Answered :
Wrong Answered :
5. What is the degree of the differential equation
A
1
B
2
C
3
D
4
6. When the sun`s altitude changes from 30° to 60° the length of the shadow of a tower decreases by 70m. What is the height of the tower?
A
35 m
B
140 m
C
60.6 m
D
20.2 m
Mathematics
KUET MCA 2022
Correct Answer : C
Explanation :
Explanation :
When sun`s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70 m.
∴ The height of the tower is 60.6 m.
Correct Answered :
Wrong Answered :
7. What will be the probability of getting odd numbers if a dice is thrown?
A
1/2
B
2
C
4/2
D
5/2
8. A continuous variable has the distribution?
A
1/4
B
1/8
C
1/16
D
1/2
9. Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is µ. The standard deviation for this distribution is given by :
A
√μ
B
µ2
C
µ
D
1/µ
10. Given y = 5e3x+ sinx, dydx is
A
5e³ˣ + cos x
B
15e³ˣ + cos x
C
15e³ˣ - cos x
D
5e³ˣ + sin x
Mathematics
KUET MCA 2022
Correct Answer : B
Explanation :
Explanation :
y = 5e3x + sin(x)
First, to find the derivative, dydx of an exponential function, we use this general form:
aenx = a* dydx(nx)enx = a*nenx
dydx of sin(x) = cos(x)
Applying this to the question we have:
dydx = 5* dydx(3x)e3x + cos(x)
And,
dydx(3x) = 3
Therefore,
dydx = 15e3x + cos(x)
Correct Answered :
Wrong Answered :
11. Ratio of volume of a cone to the volume of a cylinder for same base radius and same height is ____.
A
3
B
1/3
C
2
D
1/2