29
40.
If y = (2x + 1)
3
, find
.
dx
dy
A.
6(2x + 1)
B.
3(2x + 1)
C.
6(2x + 1)
2
D.
3(2x + 1)
2
41.
If y = xsinx, find
.
dx
dy
A.
sinx
-
xcosx
B.
sinx + xcosx
C.
sinx
–
cosx
D. sinx + cosx
42.
At what value of x does the function y =
-
3
–
2x + x
2
attain minimum value.
A.
-
1
B.
-
4
C.
4
D.
1
43.
Evaluate
.
.
.
2
0
2
3
.
.
dx
x
x
A.
6
5
4
B.
3
2
6
C.
6
5
1
D.
6
5
2
44.
Find
.
.
.
.
.
2
sin
dx
x
A.
-
cosx + 2x + k
B.
cosx + 2x + k
C.
-
cosx + x
2
+ k
D.
cosx + x
2
+ k
45.
Marks
2
3
4
5
6
7
8
No. of
students
3
1
5
2
4
2
3
From the table
above, if the pass mark is 5,
how many students failed the test.
A.
6
B.
2
C.
9
D.
7
Use the table below to answer questions 46
and 47.
Marks
1
2
3
4
5
Frequencies
2
2
8
4
4
The table above shows the marks obtained in a
given test.
46.
How many
students took the test.
A.
16
B.
20
C.
13
D.
15
47.
Find the mean mark.
A.
3.1
B.
3.0
C.
3.3 D. 3.2
48.
Find the standard deviation of 2, 3, 5 and 6.
A.
6
B.
10
C.
5
2
D.
2
5
49.
In how many ways can a committee of 2
women and 3 men be chosen from 6 men
and 5 women.
A.
100 B.
200
C.
30
D.
50
50.
If three unbiased coins are tossed, find the
probability that they are all heads.
A.
6
1
B.
3
1
C.
9
1
D.
8
1
2010 Solutions
1.
Type D
2.
Option A
3.
Option C
4.
Option C
5.
Option B
6.
Option A
7.
Option D
8.
Option B
9.
Option D
10.
Option A
11.
Option D
12.
Option C
13.
Option B
14.
Option D
15.
Option B
16.
Option B
17.
Option A
18.
Option C
19.
Option B
20.
Option B
21.
Option D
22.
Option A
23.
Option D.
24.
Option D
25.
Option D
26.
Option C
27.
Option B
28.
Option D
29.
Option B
30.
Option A
31.
Option
D
32.
Option B
33.
Option C
34.
Option D