The detail of a class test are as given below
Marks -- No of Student
2 --------- 4
3 --------- 7
4 --------- 10
5 --------- 15
6 --------- 8
7 --------- 5
8 --------- 1
average marks of the class will be
A five digit number has all non-zero different digits & decreasing arranged. Average of all the digits of the numbers is 5. The difference of number and the number formed by reversing the order of digits is 84942. Sum of all such possible digits are
Let number is 10000x+1000y+100z+10a+b
Where x not= y not= z not= a not= b not= 0
On reversing digits, we get the new number
10000b + 1000a + 100z + 10y + x
Difference
9999x + 990y - 990a - 999b
= 9999(x-b) + 990(y-a) = 84942
only possible case x-b = 8
so y-a = 5
if x-b = 8
x = 9, b = 1 (Only possibility)
and y-a = 5
(y,a)
(8,3) and (7,2)
So two possible case
x=9 y=8 z=? a=3 b=1 ---------(1)
and x=9 y=7 z=? a=2 b=1 -----(2)
Since average of digit = 45
so z=4 in (1) and z=6 in (2)
So number are
98431
97621
Sum = 196052
A student gets 450 marks out of 500 in an exam having subject Hindi, Mathematics, Physics, Chemistry and English. For qualifying an exam of science his score should be 90% in 3 subjects Physics, Chemistry and Mathematics. Probability to get his success in that exam will be.
Number of combinations for Physics, Chemistry and Mathematics are
(5*4*3*2*1)/(3*2*1*2*1) = 10
Out of 10 combinations non-qualifying combination are
(82,85,93), (82,85,94), (82,85,96) and (82,93,94)
So possibility to get his success = 6/10
=3/5
4, 4^2 = 16, Then next is 1+6 = 7
Now repeat
7, 7^2 = 49, Then next is 4+9 = 13
Now repeat
13, 13^2 = 169, Then next is 1+6+9 = 16
Now repeat
16, 16^2 = 256
Sum = 16+256 = 272
A man invests some money in a business and get 10% returns in a year. Next year he invests total output in other business & gets 20% returns in the next year. In third year when he invests output after two year then he gets 30% loss in that year overall he receives.
OPtion
1) 5.4% Profit
2) 5.4% Loss
3) 7.6% Profit
4) 7.6% Loss
5) 3.9% Profit
6) 3.9% Loss
7) 4.6% Profit
8) 4.6% Loss
9) 6.1% Profit
10)6.1% Loss
Solution
Let he invests x rupees
Then x(1+0.1)(1+0.2)(1-0.3) = 0.924 x
So he receives 0.924 x means 92.4% of x
Loss is 7.6%