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KBGG Elimination Round

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

What is the minor of -6 in the above matrix?

a)

-8

b)

8

c)

48

d)

-48

2.

What is the order and degree respectively of the above differential equation?

a)

2,1

b)

4,1

c)

2,4

d)

2,3

3.

What is the sum and product respectively of the roots of the given equation: 
 x2  5x + 8 = 0-x^2\ -\ 5x\ +\ 8\ =\ 0  

a)

-5,-8

b)

5,-8

c)

5,8

d)

-5,8

4.

The calendar for the year 2007 will be the same for the year:

a)

2018

b)

2013

c)

2016

d)

2017

5.

In the above diagram, ABCD is a rectangle with AE=EF=FB. What is the ratio of the area of the yellow region to the green region?

a)

1:5

b)

1:7

c)

1:6

d)

1:4

6.

What is the total surface area of a cylinder with radius 10 cm and height 5 m?

a)

1.02π m21.02\pi\ m^2

b)

3.2π m23.2\pi\ m^2

c)

2π m22\pi\ m^2

d)

300π m2300\pi\ m^2

7.


Evaluate
 [i18 + (1i)25]3\left[i^{18}\ +\ \left(\frac{1}{i}\right)^{25}\right]^3  
Where  i = 1i\ =\ \sqrt{-1}  

a)

 2  2i2\ -\ 2i  

b)

 2 + 2i2\ +\ 2i  

c)

 1  2i1\ -\ 2i  

d)

 1 + 2i1\ +\ 2i  

8.

Evaluate the above integral.

a)

4

b)

3

c)

13\frac{1}{3}

d)

23\frac{2}{3}

9.

A can do a bit of work in 25 days which B can complete in 20 days. Both work together for 5 days and afterwards A leaves off. How long will B take to complete the remaining work?

a)

11 days

b)

10 days

c)

9 days

d)

8 days

10.

On a Saturday night, 20% of all drivers are under the influence of alcohol. Probability that a driver under influence of alcohol will have an accident is 0.001. Probability that a sober driver will have an accident is 0.0001. If a car gets into an accident on a Saturday night, find the probability that the driver was under influence of alcohol.

a)

57\frac{5}{7}

b)

47\frac{4}{7}

c)

37\frac{3}{7}

d)

67\frac{6}{7}