Work done by a single person = 1/ ( 9* 18) = 1/ 162
Work done by 12 people = 12 / 162
Time taken to finish work = 162 / 12 = 13.5
Let the length be x and the breadth be y.
Now since it has a square base;
Now the surface area can be given as S= x^2+4xy (Area of square base + Area of Sides)
And Volume can be given as V = x^2y
ATQ, S=1200,so 1200=X2+4xy
Now for V to be max
Solving for x we get x=20
Hence volume is 20x20x10=4000 m3
Question 3. A Person Was Fined For Exceeding The Speed Limit By 10 Km/hr. Another Person Was Also Fined For Exceeding The Same Speed Limit By Twice The Same. If The Second Person Was Traveling At A Speed Of 35km/hr,find The Speed Limit?
1 person exceeded by 10. Another person twice 10 which is 20. Given he is going at 35 km/h. So speed limit is 35 - 20=15 km/hr
Since we know that SI and CI are same for first year. Difference is due to the SI of 1st year is treated as PRINCIPLE of 2nd year in CI.
So 1st we calculate the amount which treated as P in CI
P = 100*SI/R*T = 100*80/8*1 = 1000
This amount is also the SI for 1 year.
SI = 1000
T = 1 Year
R = 8%
P = 100*1000/8*1 = 12500
From the above information
x/y = 5/7
xy = 560
Solving the above equation we get the numbers as 20 and 28
Difference is 8
Given that variance npq = 2
and mean np = 4
q = 1/2
=> p = 1/2
n = 8
=> 8c2 * (1/2)^8 = 28/256
ans = 28/256
result. Apply the same method to the resulting numbers until you finally arrive at the number 1.shown below is the chain of numbers that results from
this method if you begin with 15.
27, which takes 111 steps
Let x be the salary.
Then if he spends (2/3)x on rent and food then the remaining salary is x/3,
Out of which he spends 1/4 i.e(x/3)1/4 or x/12 on transportation...and the amount left thereafter is : ( x/3 ) - ( x/12 ) = x/4
Given..the amount left with Rajesh is : 6000 = x/4
=> Salary of Rajesh 'x' is : 6000 * 4 = Rs.24,000
Amount spent on rent and food = 24000 * (2/3) = Rs.16,000
Remaining amount : 24000 - 16000 = Rs.8000
Amount spent on transportation : 8000 * (1/4) = Rs.2000
Remaining amount : 8000 - 2000 = Rs.6000,the amount left with Rajesh
So answer is : 2000
E = I * I * R
Now if I = I / 2
Now E = I/2 * I/2 * R
Therefore E will decrease 4 times
(5/55)*100 = 9 1/11
s1*x/100 + s2*x/100 + s3*x/100
s1 = s2 = s3
Ans = s1*x/100
Octal representation of decimal 100 is 144
10010 = 1448
1st person gets Rs.(s-60)/4
Let us assume that 1st person gets Rs.x
Then 2nd will get Rs.x+10
3rd will get Rs.x+20
4th will get Rs.x+30
Then the sum s=x+(x+10)+(x+20)+(x+30)
Therefore 1st pesron will get (s-60)/4
Answer = 1/(8s/2)
Increases two times
Divide the series into letters of 3. One series starts with next letter of the last character in second series.
x y z u v w r s t o
ExplanationDiscuss the solution:
Difference between letter index position increases as 1, 2, 3, 4, 5...
Answer is u.
In 12 sec(30-18) he walks down 8(34-26) steps.
therefore, (8*30)/12 =20 steps.
So,the total height of the stair way in steps=(26+20)=46 steps
Let the members be Old Having age O + other 9 having ages x and New one having age Y
Sum of their ages = (Y + 9 × x) and average = (Y + 9 × x)/10
Before 4 years sum was (O + 9 x – 10 × 4) and average = (O + 9 x – 10 × 4) /10
equating, Y + 9 x = O + 9x – 40
Y = O – 40
Younger is 40 years younger than Old one.
From point A we draw the perpendicular
segment AP to the basis EC.
From the rectangular triangle EAC
(A=90) we have
a , we have to subtract
b/3 and c/2
so water left in container A
= a - (b/3 + c/2)
Question 22. Pa And Pb Are Tangents To The Circle At A And B Respectively And The Chord Bc Is Parallel To Tangent Pa. If Ac = 6 Cm, And Length Of The Tangent Ap Is 9 Cm, Then What Is The Length Of The Chord Bc?
PA = PB = 9 cm ( Length of tangents from an external point)
Angle PAB = Angle ABC ( alternate angles PA !! BC)
AC = AB = 6 cm
Triangles PAB and ACB are isosceles and sre similar triangles
( They are equiangular)
Taking the ratios of respective sides
BC/AB = AC/PB
BC/6 = 6/9
BC = 4 cm
Question 23. A Number Of Cats Got Together And Decided To Kill Between Them 999919 Mice. Every Cat Killed An Equal Number Of Mice. Each Cat Killed More Mice Than There Were Cats. How Many Cats Do You Think There Were ?
Observing the num 999919 which is the total num of rats being eaten, we can write it as
(1000000-81) = (1000^2-9^2) = (1000+9)(1000-9) = (1009)(991)
So total num of rats killed =(1009)(991)
And given that each cat kills more num of rats than the total num of cats
Hence each cat kills 1009 num of rats
And there are 991 num of cats
Log2 x means (log x)^2,
The answer can be found by making the substitution y = log x to give
y^2 - 5y + 6 = 0, which gives the solutions
y = 3
y = 2
ie., log x = 2 or log x = 3
ie., e2 or e3
Question 25. The Square Of A Two Digit Number Is Divided By Half The Number. After 36 Is Added To The Quotient, This Sum Is Then Divided By 2. The Digits Of The Resulting Number Are The Same As Those In The Original Number, But They Are In Reverse Order. The Ten's Place Of The Original Number Is Equal To Twice The Difference Between Its Digits. What Is The Number?
Let the number be 10A + B = C
now, (C^2/(C/2) + 36)/2= 10B + A
or, (2C+36)/2 = 10B + A
or, 10A + B + 18 = 10 B + A
or, 18=9(B-A), giving B-A=2
As per the question, A=twice the difference between A and B
The original number is 40 + 6 = 46.
In descending order,
using denominations of 1p,5p,10p,25p which are available.
25p coins : 1
10p coins : 2
5p coins : 2
1p coins : 45
After each character +3
C is the answer, 13 km northwest.
When he traveled first 6km, he will b in west.
Then aftr 5km ,he wil b in northwest.
Again he goes to west. So from the given answers, he wil b in north west position.
Probability of events happening together = Product of individual probabilities
= 0.8 * 0.6 = 0.48.
Question 30. A Person Travels 12 Km In The Southward Direction And Then Travels 5km To The Right And Then Travels 15km Toward The Right And Finally Travels 5km Towards The East, How Far Is He From His Starting Place?
Hence 15-12 is 3kms
k(n) = k(n-1) +2(n-1) with
k(7) =k(6) +2(7-1)
k(7) =31 +2*6
So for mango the code is 82347
Question 33. 1st 3 Letters Are Denoted By Its Next In The Alphabet And The Next 3 Letters Are Denoted By Its Previous In The Alphabets A Monkey Starts Climbing Up A Tree 20ft. Tall. Each Hour, It Hops 3ft. And Slips Back 2ft. How Much Time Would It Take The Monkey To Reach The Top?
The first hour, the monkey goes 3 feet up, and slips back 2 feet.
(Imagine that's going up instead of horizontal.)
So the monkey is 3 ft - 2 ft = 1 ft high after one hour.
In the second hour, the monkey goes up 3 more feet, and slips back 2 feet. So he's at 1 ft + 3 ft - 2 ft = 2 ft.
Every hour, he gains 3 ft and loses 2 ft, for a total gain of 1 ft. So after the 17th hour, he's at 17 ft high.
Now, here's the twist: in the 18th hour, he climbs up 3 feet. Since 17 ft + 3 ft = 20 ft, he's at the top of the tree!
So, it takes him 18 hours.
The sum of the first and last number equal 20
The sum of the second and second-to-last number equal 20
The sum of the third and third-to-last number equal 20
So answer is 9
Question 35. A Certain Type Of Mixture Is Prepared By Mixing Brand A At Rs.9 A Kg. With Brand B At Rs.4 A Kg. If The Mixture Is Worth Rs.7 A Kg., How Many Kgs. Brand A Are Needed To Make 40kgs. Of The Mixture?
A + B = 40.
And at Rs 7 a kg for 40 kg, you want a total of Rs.280.
So the second equation is 9A + 4B = 280
From the first equation: B = 40 - A
and sub into the second equation:
9A + 4(40-A) = 280
9A + 160 - 4A = 280
5A = 120
A = 24.
Your answer, of course, is A = 24.
Let the age of nepo be x years,age of his father is (40+2x),age of his son (x/3)
Solving this equation we get the age of nepo i.e. (x) is 360 years old
So there are 3 dogs
Let the number of bananas in first day be x
For consecutive five days it will be like x,x+6,x+12,x+18,x+24
The sum of those are 100, 5x+60=100
So,x = 8
Five minutes if we keep the four eggs in the same bowl.
Simple explanation by Juned:
The minute hand overtakes hours hand 11 times in 12 hours
Therefore the time taken by the minute to overtake = (12 * 60)/11
= 65.4545 minutes
In this clock the minute hand is taking 64 minutes to overtake
Therefore in 12 hours it will overtake 720/64 = 11.25 times
That means 0.25 times more in 12 hours or 0.5 times more in a day
Hence, the clock gains = 0.5 times of the normal time
⇒ 65.4545 * 0.5 = 32.72 minutes or 360/11 minutes
Explanation by a4academics
x be distance traveled by hour hand
Then distance traveled by minute hand = 1 + x
Time = Distance/Rate
⇒ x/(1/12) = (1 + x)/1
⇒ x = (1/12)(1 + x) = 1/12 + x/12
⇒ (11/12)x = 1/12
x = 1/11
Calculate time for minute hand to travel a distance 1 + x.
Time = Distance/Rate
(1 + x)/1 = 1 + x = 1 + 1/11 = 12/11 hour
Actual time to overtake on clock is 64 minutes.
64 min = 64/60 hours = 16/15 hour
Correct Clock Speed/Actual Clock Speed
(12/11) / (16/15) = 12*15 / (11*16) = 180/176 = 45/44
The clock gains:
45/44 - 1 = 1/44 day = 24/44 hour = 6/11 hour = 360/11 min
= 32 min and 434/11 sec.
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