7/30/2019 Vani Vidyalaya Algebra 4 n 5
1/2
RAJU SIRS ACADEMYSUB : ALGEBRA MARKS : 30
Q.1 ) SOLVE THE FOLLOWING ( ANY 6 ) 6 MARKS
1 . In each of the following experiments write the sample space
S ,number of sample points n(s),events P ,Q ,R using set form and
n(P) , n(Q) and n(R).Find the events among the events defined
above which are complementary events,mutually exclusive events
and exhaustive events. [ CHP 4 ]
a) Three coins are tossed simultaneously.P is the event of
getting atleast two heads.
Q is the event of getting no head.
R is the event of getting head on second coin.
2 . Below is given the distribution of money ( in Rs. )
collected by students for flood relief fund. Find
the mean money (in Rs. ) collected by a student by using Direct
Method. [ CHP 5 ]
Money (in Rs. ) 0- 10 10-20 20-30 30-40 40-50
No. of students 5 7 5 2 6
3 . Write the sample space for :
a) If two dice are thrown.
b) If two coins are tossed . [ CHP 4 ]
4 . If P (A U B ) = 5 , P ( A n B ) = 1 , P (B) = 1 . Find P(A)
and P(A).6 3 3
5 . Write the formula for mode of grouped frequency
distribution. [CHP 5 ]
6 . Two coins are tossed. Find the probability of the events
.
a) Head appears on both the coins.b) Head does not appear. [ CHP
4 ]
7 . Following is the distribution of the size of certain farms
from a taluka (tehasil )
Size of Farms ( in acres ) 5-15 15-25 25-35 35-45 45-55 55-65
65-75
No. of farms 7 12 17 25 31 5 3
Q.2 ) SOLVE THE FOLLOWING ( ANY 3 ) 9 MARKS
1 . The following table shows the frequency distribution of body
weight ( in gms ) of fish in a pond.
Body weight
(in gms )
15 - 15.9 16 16.9 17- 17.9 18 - 18.9 19 19.9 20 -20.9
No. of fish 2 4 8 6 6 4
2 . For a certain frequency distribution , the values of mean
and mode are 54.6 and 54 respectively. Find
the value of median.
3 . A coin is tossed three times then find the probability
of
a ) getting head on middle coin
b ) getting exactly one tail.
C ) getting no tail .
4 . If two coins are tossed then find the probability of the
events
a ) atleast one tail turns up.
b ) no head turns up.
c ) at the most one tail turns up.
7/30/2019 Vani Vidyalaya Algebra 4 n 5
2/2
RAJU SIRS ACADEMYQ.3 ) SOLVE THE FOLLOWING ( ANY 3 ) 9 MARKS
1 . A box contains 20 cards marked with the numbers 1 to 20 .
One card is drawn at random. What is the
Probability that number on the card is
a) A prime number b) Perfect square c) multiple of 5 .
2 . The following table shows ages of 300 patients getting
medical treatment in a hospital on a particular
day .
Age (in yrs ) 10-20 20-30 30-40 40-50 50-60 60-70
No. of Patients 60 42 55 70 53 20
3 . Two fair dice are thrown . Find the probability that sum of
the points on their uppermost faces is
a)A perfect square or divisible by 4.
b)Greater than 10 or an odd number .
4 . The weight of coffee( in gms) in 70 packets is given below
.
Weight (in gms ) 200-201 201-202 202-203 203-204 204-205
205-206
No. of packets 12 26 20 9 2 1
Determine the modal weight of coffee in packets .
5 . Below is the given distribution of profit ( in Rs. ) per day
of a shop in a certain amount.
Profit (in Rs. ) 500-900 1000-1400 1500-1900 2000-2400 2500-2900
3000- 3400 3500-3900
No. of shops 8 18 27 21 20 18 8
Calculate the median profit of shops.
6 . One lottery ticket is drawn at random . From a bag
containing 20 tickets numbered from 1 to 20 .Find
the probability that the number on the ticket drawn isa)Either
even or square of an integer .
b)Divisible bye 3 or 5.
Q.4 ) SOLVE THE FOLLOWING ( ANY 2 ) 6 MARKS
1 . Two digits number are formed from the digits 0,1,2,3,4 where
digits are not repeated.Find the
probability of the events that
a) the number formed is an even number.
b) the number formed is greater than 40.
c) the number formed is prime number.
2 . Following table gives frequency distribution of trees
planted by different housing societies in a
particular locality.
No. of trees 10-15 15-20 20-25 25-30 30-35 35-40
No. of societies 2 7 9 8 6 4
Find the mean number of trees planted by housing society by
using step deviation method.
3 . The maximum bowling speed ( kms/hour ) of 33 players at a
cricket coaching centre is given below.
Bowling Speed 85-100 100-115 115-130 130-145
No. of players 9 11 8 5
Find the modal bowling speed of players.
4 . In a survey conducted among 400 students of X standard in
pune district ,187 offered to join science
Faculty after X std and 125 students offered to join commerce
faculty after X. If a student is selected
at random from this group. Find the probability that student
prefers science or commerce faculty.
