1)a) Write 3 rational numbers between ( -
) and ( -
) (3)
b) If the selling price of a toy is 3/5th of its cost price, find the loss percentage. (3)
c) If A = { 0, 2, 4, 6, 8} ; B = {1, 2, 3, 4, 5, 6} ; C ={ 0, 3, 7, 8, 9}
then find : (i) AUB (ii) A C (iii) B C (iv) A U B U C (4)
2) a) Find using division method. (3)
b) Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes
are opened simultaneously in the empty tank, in what time the tank is filled ? (3)
c) Find the quotient and remainder when : ( 6a2
– 31a +47) is divided by (2a-5) (4)
3) a) Add the following expressions :
7z2
y – 6y2
x +2x2
z ; -12x2
z +
z
2
y – 9y2
z ; 11y2
x –
x
2
z +3z2
y (3)
b) If 50 calculators can be bought for Rs.4250, how many calculators can be bought for Rs.5950 ? (3)
c) If (x -
) = 6 , find the values of (i) x +
(ii) x2
+ 1 (4)
x
2
4) a) Find the product of (4x2 +3x -7) and (3x2
-8x – 3) (3)
b) Evaluate : (81)-1/2 x 3-4
+ + (-5)0
x (
2
(3)
c) Using special expansions, find the values of :
(i) (39.8)2
(ii) (904)2
(4)
SECTION – B (40 MARKS)
(Answer any four questions from this section)
5) a) Shanti buys an article with 25% discount on its marked price. She makes a profit of 10%, by selling it
at Rs.660. Find its Marked Price. (3)
b) Simplify : y
a+b
X yb+c X yc+a
(ya X yb
X yc
)
2
(3)
c) A can do a piece of work in 30 days and B alone can do it in 20 days.They worked together on it for 5
days and then A left. How long did B take to finish the remaining work ? (4)
Answers
Answered by
0
Answer:
2 can be written as
7
14
and 3 can be written as
7
21
Thus the six rational numbers which lies in-between 2 and 3 are
7
15
,
7
16
,
7
17
,
7
18
,
7
19
,
7
20
.
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