Free Printable Quiz 1

1.

The set of real numbers with usual topology is

a)

Connected

b)

Dense

c)

Separable

d)

All of the above

2.

The number of positive divisors of 374 is (a)

3.

Which of the following two statements is/are true ?

(A) The measure of a countable set is zero.

(B) The measure of Cantor set is zero.

a)

Only (A)

b)

Only (B)

c)

both (A) and (B)

d)

neither (A) nor (B)

4.

2. Solve the differential equation

𝑑𝑦/𝑑𝑡 =3𝑡²/𝑦 with initial condition

𝑦(2) = 0.

a)

𝑦 = ln(15t)

b)

𝑦 = 16t³

c)

𝑦 = (2𝑡³− 16)^1/2

d)

𝑦 = (2𝑡³−16)

5.

If the eigen values of a matrix A are 2,3,7 then the eigen values of 2A-Iare

a)

3,5,13

b)

2,3,7

c)

4,6,14

6.

What is the suitable value of n to use Trapezoidal, Simpson's 1/3rd and Simpson's 3/4th rule?

a)

6

b)

12

c)

8

d)

4

7.

$\delta=$

a)

$\frac{1}{2}\left(E^{\frac{1}{2}}-E^{-\frac{1}{2}}\right)$

b)

$\frac{1}{2}\left(E^{\frac{1}{2}}+E^{-\frac{1}{2}}\right)$

c)

$\frac{1}{2}\left(E^{-\frac{1}{2}}-E^{\frac{1}{2}}\right)$

d)

$\frac{h}{2}\left(E^{-\frac{1}{2}}-E^{\frac{1}{2}}\right)$

8.

The equation f(x) = 0 is called -------- if f(x) involves logarithmic, trigonometric and exponential functions.

a)

algebraic

b)

transcendental

9.

Which graph represents $y=\cos\ x$ for $90\degree\le x\le270\degree$

a)

b)

c)

d)

10.

The diagram below shows a unit circle. State the possible values of a and b.

a)

$a=0.9397,\ b=0.3420$

b)

$a=0.9397,\ b=-0.3420$

c)

$a=-0.9397,\ b=0.3420$

d)

$\alpha=-0.9397,\ b=-0.3420$

Quiz 1

Total questions: 10

Worksheet time: 9mins

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