Mathematics Test

Result

Mathematics Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The number of onto functions from {1, 2, ..., n} to itself is

A
n

B
n − 1

C
(n − 1) !

D
n !
Question 2
1 / -0

A
3

B
-3

C
6

D
0
Question 3
1 / -0

For any complex number z, the minimum value of |z|+ | z − 2i| is

A
0

B
1

C
2

D
√3
Question 4
1 / -0

Let f (x) = a + bx | +cx|² , where a, b and c are real constants. Then f ′(0) exists if

A
b = 0

B
c = 0

C
a = 0

D
b = c
Question 5
1 / -0

The equation of the circle passing through (1, −3) and the points common to the two circles x² + y² − 6x + 8y − 16 = 0 and x² + y² + 4x − 2y − 8 = 0 is

A
x² + y² − 4x + 6y + 24 = 0

B
2x² + 2y² + 3x + y − 20 = 0

C
3x² + 3y² − 5x + 7y − 19 = 0

D
x² + y² + 4x − 6y + 24 = 0
Question 6
1 / -0

A
±1

B

C

D
0 and 1
Question 7
1 / -0

A
a = 1, b = 3

B
a = −3, b = 3

C
a = 3, b = −3

D
Question 8
1 / -0

The number of ways that a ring can be made out of 6 black and 4 white men standing on a ring, so that all the white men come together is

A
8564

B
8640

C
8644

D
8665
Question 9
1 / -0

In the interval 0 < x < 2, the function f (x) = x² has

A
maximum = 2 and minimum = 0

B
maximum = 4 and minimum = 0

C
no maximum and no minimum

D
some maximum but no minimum
Question 10
1 / -0

For the curve y = 5x − 2x³ , if x increases at the rate of 2 units/sec then at x = 3, the slope of the curve is changing at

A
12 units/sec

B
-49 units/sec

C
-72 units/sec

D
72 units/sec