161⟩ Which one of the following has the highest standard deviation?a 1,0,1,0,1b 1,1,1,1,1c -1,-1,-1,-1,-1
Standard deviation (sum of all terms)/(no of terms)....
so, option b has highest S.D
(1+1+1+1+1)/5 EQUALS TO 1
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Standard deviation (sum of all terms)/(no of terms)....
so, option b has highest S.D
(1+1+1+1+1)/5 EQUALS TO 1
60*7/100=4.2 liter water right now therenow we assume we consider p liter water to make it 19%so(60+p)*19/100=p+4.2so p=8.8
If n=3 then answer is:1
Take two balls and weigh. If both are equal then remaning ball is 90 gms
else if second is less than first one then second ball is 90gms
else if first is less than second on then first ball is 90 gms
If n=10 answer is: 3
Divide the n=10 into two 5-sub groups
compare the both the groups
If 1group<2group then 90 gms ball is present in the first group
else it is present in the second group.
Take the less weight group and divide it into 2-2-1 subgroup.
Now compare the 2-subgroups first. If first 2-subgroup is less than the second 2-subgroup then 90gms is present in the first 2-subgroup otherwise it is present in the second 2-subgroup. If both are equal then the remaing 1-subgroup ball is 90gms ball.
Now take less weigth subgroup of 2-subgroups. Now compare the two balls that are existing in the 2-subgroup group. Then we can find the 90 gms ball.
So we require 3 chances for detection of 90 gms ball when n=10
If n=9 then answer is :3
A house will have four walls...
papers used only for construction of walls!!!!
1st House: 4 *a (side) *h (height) * 10 = 60 =======> 4ah=6 --(1)
Given 10 paise reqd...per construction of 1 square meters
2nd House: 4*(a+5) (side)*h (height) * 10 = 80 =======> 4ah + 20h=8---(2)
Area formula will be horizontal side*vertical height
the plane of wall will be along it's height!..
Solving (1) & (2) we get 20h=2.
Hence, h=0.1m
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x^2-5x=0
x(x-5)=0
so x=0 or 5
Process of solving
From these four digits '0' cannot be at first place to form four digit number
so we have 1, 2, or 3 can be at thousand's place
keeping one digit at thousand place can have 6 different four digit number
so that means
1000*6 + 2000* 6 + 3000* 6 = 36000
Now come to hundred's place we can have all four digit at this place , '0' will not contribute any thing to sum so in all four digits number 1,2,3 will be at 4 times on same place
so that means
100*4 + 200* 4 + 300 * 4= 2400
Now come to tenth's place ...same as hundred
so
10*4 + 20*4 + 30*4= 240
same for unit place
1*4 + 2*4 + 3*4= 24
in last if you add whole the total sum of all possible four digit number formed is 38664
even after 4 years the ratio remains d same..therefore:
x+(3/5)x=8
thus x=5
therefore the height of the shorter tree is 3 feet after FOUR years..
therefore after TWO years the heght will be 1.5 ft..
7.5 Percent
Two people work together in 24 mins.
So, their one day work is
(1/A)+(1+B)=(1/24)
One man can complete the work in 40mins
one man's one day work (1/B)= (1/40)
Now,
(1/A)=(1/24)-(1/40)
(1/A)=(1/60)
So, A can complete the work in 60 mins.
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Ans is PINK
Yellow --- > Pink
Pink ------->Red
Red ------->Green
Green -----> Yellow
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7 is the answer, because 2*3=6,6/5=1.2 and 1.2%7=7
We have two chances to win the world cup.
Either India can win all 10matches or Win 7 out of 8 group matches + win the semi final and final matches.
Case 1: To win all 10, probability is (2/3)^10.
Case 2: Probability of winning 7mathces out of 8= (2/3)^7 and
Probability of Loosing the 1 match= 1/3.
This process can occur in 8 ways.
probability= 8*((2/3)^7 * 1/3)
To win semi final and final match probability is (2/3)^2
Total probability=8*((2/3)^7 * 1/3) * (2/3)^2 = 8/3 * (2/3)^9.
So total probability, Case1+Case 2= (2/3)^10 + 8/3 * (2/3)^9
1st 2 digit- 111/3=37
2nd 2 digit- 222/6=37
3rd 2 digit- 333/9=37
so the number=373737
1hour 7200 Bottles
1 min 7200/60 = 120 Bottles
1 sec 120/60 = 2 Bottles
The falling height is proportional to the squere of the time.
Now,the falling height is 64cm at 2sec
so, the proportional constant is=64/(2*2)=16;
so, at 6sec the object fall maximum (16*6*6)cm=576cm;
Now, the object may be situated at any where .
if it is>576 only that time the object falling 576cm within 6sec .Otherwise if it is situated<576 then it fall only that height at 6sec.
LEt number or runs made be x in 51th match
In all 50 matches gavaskars average is 50
so current avg= 50*50 +x/51=51
so value of 101 runs
it can be 15 bcoz
2x+3y+4z=15
3x+2y+z=10
adding
5x+5y+5z=25
x+y+z=5 that is for 1 orange ,1 bannana and 1 apple requires 5Rs.
so for 3 orange ,3 bannana and 3 apple requires 15Rs.
i.e. 3x+3y+3z=15........