Average Online Test 1

No of even numbers upto 1lkah = 50000
No of even numbers upto 1000 = 500
No of even numbers above 1000& upto 1 lakh= 49500
sum of first N even numbers = N*N
sum of even numbers above 1000 & upto 1 lakh = 50000*50000 – 500*500 = 2499750000
average of even numbers above 1000& upto 1 lakh = 2499750000/ 49500 = 50500

Total age of the family of 24 members = 132* 24 = 3168 yrs
Total age of the family members 22 yrs ago = 3168 – (24*22) = 2640
at the time total members in a family = 24
average age of the family at the birth of the youngest member = 2640/24 = 110yrs

let the number of students be 100,
then, 100*84 = 36*57 + 42*84 + 22*x
22x = 8400-2052-3528
x = 128.18

let the initial strength of the batch be X
total height of the batch initially = 344X
total height of 16 new students = 320 * 16 = 5120 cm
Then, the average height of X+ 16students = 332
332 = [5120 + 344 X]/ [X + 16]
X= 16 students

Smith present age = 111years
total age of family after 24 yrs = 90*3= 270
present age of Smith & his wife = 111+99 = 210yrs
present age of Smith, his wife & his son= 270- 24*3 =198
present age of son= 210-198=12yrs

Let the number of paper be A.
Then total marks earned him = 75A
from questions,
75A + 33+ 27= 78A
3A = 60=> A=20 = number of subjects

Total age of K& L = 48*2 = 96 yrs—–>1
Total age of L& M = 40*2 = 80yrs—–>2
Total age of K& M = 44*2 = 88 yrs—–>3
from 1, 2, 3
K+L+M =132—->4
from 1 & 4, M= 36
from 2 & 4, K=52
from 3 & 4, L=44
Hence the required answer is 52,44,36

Total number of rooms = 30
earning in 1st 15 days for 30 rooms
= 15 * 4675* 30 = Rs. 2103750
earning in 2nd 15 days for 30 rooms
= 15 * 5370 * 30 = Rs. 2416500
Average income per room per day over the month of 30 days
= [ 2103750 + 2416500] / [ 30 * 30]
= Rs. 5022.5

let the number of students initially in the class be A,
then, total height = A * 360—— 1
again the no of students increased = A + 10
then, total height A + 10 student = (A +10) * 336—-2
the total height of 10 student of 10 new students = 10* 292.8 = 2928cm—–3
from 1,2 , 3
(A+10) *336-2928 =A*360
336A+3360-2928=360A
A=18
Number of students in class = 18+10=28

Total age of 11 daughters of a family = 11*12 = 132
father age = 14 +mother age
total age of the family
(11 daughters + father + mother) is,
132+mother +14+ mother = 27 * 13
mother = 102.5
father age = 14+102.5 =116.5years