Free Printable KBGG Episode 2

1.

Find the next number in the sequence:

3, 7, 16, 35, ?

a)

73

b)

74

c)

72

d)

71

2.

Solve for x:

\log_{15}\left(17+x\right)\ +\ \log_{15}\left(17-x\right)\ =\ 2,\ x>0

a)

8

b)

$\pm8$

c)

6

d)

$\pm6$

3.

If

i=\sqrt{-1}

, find the value of

i+i^2+i^{3^{ }}+i^4

a)

1

b)

-1

c)

0

d)

$i$

4.

In how many different ways can you rearrange the letters of the word CHEESE?

a)

120

b)

720

c)

240

d)

360

5.

What is the area of the largest square that will fit inside a circle of radius 4 cm?

a)

$16\ cm^2$

b)

$8\ cm^2$

c)

$32\ cm^2$

d)

$64\ cm^2$

6.

The equation of the straight line passing through the point (2,-1), making an angle of 45 degrees with the straight line 6x+5y-1=0 and having a negative slope is:

a)

$x+11y+9=0$

b)

$11x-y-23=0$

c)

$7x+9y-5=0$

d)

$3x+2y-4=0$

7.

Find the maximum value of:

3\sin\left(x\right)\ +\ 4\cos\left(x\right)

a)

7

b)

5

c)

$\frac{7}{\sqrt{2}}$

d)

$\frac{7}{2}$

8.

The graph of $y=\left(\log\ x\right)^2$ lies in which quadrant?

a)

First

b)

Second

c)

Third

d)

Fourth

9.

What is the range of $\sin^{-1}\left(x\right)$ ?

a)

$\left[0,\pi\right]$

b)

$\left(0,\pi\right)$

c)

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

d)

$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$

10.

Evaluate the above determinant

a)

3

b)

-2

c)

0

d)

5

11.

For what value of x is the above matrix not invertible?

a)

0

b)

2

c)

4

d)

6

12.

Two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14. Then, the probability that neither A nor B occurs is:

a)

0.39

b)

0.11

c)

0.61

d)

0.25

13.

A's age is 4 less than triple his son's age. 11 years later, A's age will be double the age of his son. What is A's current age?

a)

41

b)

52

c)

45

d)

15

14.

A and B together can complete a work in 12 days, which A alone can complete in 30 days. How long will it take B to complete the work if he is working alone?

a)

19 days

b)

18 days

c)

20 days

d)

21 days

15.

In how many ways can 8 men be seated in a circle such that 3 specified men are always together?

a)

360

b)

1080

c)

120

d)

720

16.

Evaluate the above limit

a)

0

b)

1

c)

-1

d)

2

17.

Find the value of the above integral.

a)

$\pi\log\left(2\right)$

b)

$-\pi\log\left(2\right)$

c)

$\frac{\pi}{2}\log\left(2\right)$

d)

$-\frac{\pi}{2}\log\left(2\right)$

18.

What is the radius of the circle given by the following equation?
$x^2+y^2-8x+6y+11=0$

a)

$\sqrt{89}$

b)

$\sqrt{14}$

c)

$4$

d)

$\sqrt{26}$

19.

Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.

a)

32 and 8

b)

40 and 28

c)

64 and 4

d)

60 and 8

20.

Evaluate the above integral

a)

0

b)

1

c)

$\frac{\pi}{2}$

d)

$\pi$

KBGG Episode 2

Total questions: 20

Worksheet time: 20mins

Similar Resources on Wayground