Let the free luggage allowance be x kg.
M + S = 1050... (1)
x + 2M = 2400 ... (2)
x + 2S = 900 ... (3)
from (1) , (2) and (3)
x = 600
M = 900
98.
4! ( 4C4 + 5C4 + 6C4 +...+14C4)
Sum : 4! (15C5) = 72072
Average : 72072/11 = 6552
the average age of 200 employees in an organization in 1990 was 40 yrs. in 1992, 40 employees whose avg age was 50 yrs, left the organisation. after 4 years , 20 employees whose avg age was 32 yrs, joined the organisation. what was the avg age of all the employees in the year 2000?
Year | No of employees | sum of age of all employees | Avg Age | Remark |
1990 | 200 | (200*40) | ||
1992 | (200-40) = 160 | (200*42)-(40*50) | in 2 years avg age will increase by 2 | |
1996 | (200-40+20) = 180 | (200*46)-(40*54)+(20*32) | in next 4 years avg age will increase by 4 | |
2000 | (200-40+20) = 180 | (200*50)-(40*58)+(20*36) = 8400 | (8440/180) = 46.7 | in next 4 years avg will increase by 4 |
There are seven consecutive natural numbers such that the average of the first five is
n. Then the average of all seven numbers will be
A. n
B. n+1
C. kn+1/k, where k is a positive constant
D. n+2/7
Average of natural number increases by 0.5, if next natural number is added in the list
example ( avg of 3,4,5 is 4. and Avg of 3,4,5,6 is 4.5)
hence when we add two consecutive natural numbers avg will increase by 0.5+0.5 = 1
hence new avg will be n+1
In a house ABC with 12 members, the avg age of the members was 42 years in the year 1966. The next year, the oldest member of the family died at the age of 66 and a member decided to shift to other locality. After 1 year a baby was born and in the same year another member left the house who is 3 years younger to the member who had left the house the previous year. After 2 more years, the average age of all the members was 44 years. What was the age of the member who had left the house when the oldest member died?
A. 20 B.21 C. 41 D.42
A few students decided to buy a gift for their teacher. So, each of them decided to contribute an equal amount for the gift. But when they went to buy the gift, they found that the price of it had increased by 16.66%. Now 2 more students joined to contribute and because of this the cost per head decreased by Re 1. If the contribution per head is an integer, which of the following cant be the initial number of students who had decided to contribute for the gift?
A. 5 B.6 C. 7 D.8
initial contribution p , and number = n , so initial price = pn
and final price = 7/6pn
final contri = p-1 and number of students = n+2
so 7/6pn = (p-1) (n+2)
from this n = (12p-12)/(p+6)
now n=7 won't be possible
In the island of Hoola Boola Moola , inhabitants have a strang process of calculating their average incomes and expenditures. According to an old legend prevalent on that island. the average monthly income had to be calculated on the basis of 14 months in a calendar year while the average monthly expenditure was to be calculated on the basis of 9months per year. This would lead to people having an underestimation of their saving since there would be an underestimation of the income and overestimation of their expenditure per month.
Q.Mr. Boogie Woogle comes back from the USSR and convinces his community comprising 273 families to start calculating the average incomeon on the basis of 12 months per calendar year.Now if it is knon that the average estimated income in his community is(according to the old system) 87 Moolahs per month. Then what will be the change in the average estimated savings for the island of Hoola Boola Moola. (Assume that there is no other change).
1) 251.60 Moolahs
2) 282.75 Moolahs
3) 312.75 Moolahs
4) Cannot Be Determined
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
(a) 6.25
(b) 6.5
(c) 6.75
(d) 7
In a hotel, the tariff for every odd dates is Rs.1000 and for even dates is Rs. 2000. If the man paid total of 30000 in all. For how many days did he stay in the hotel given that the first day is 5th date of the month?
- 50
- 20
- 40
- 60
Total tariff = 30000
So, for odd dates (5th , 7th , and so on) = 1000
And for even dates (6th , 8th and so on ) = 2000
So, the average amount of money for 2 days is Rs. 1500.
So, total amount paid = 30000
So , number of days he stayed in the hotel = 30000/1500 = 20.
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
(a) Rs. 4991
(b) Rs. 5991
(c) Rs. 6001
(d) Rs. 6991
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.