Answer :
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
Answer :
Let the length be x and the breadth be y.
Now since it has a square base;
x=y
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
y=(1200-x2)/4x
Now for V to be max
V'=0
V'(x)=x2y
Solving for x we get x=20
Now y=20m
Hence volume is 20x20x10=4000 m3
Answer :
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
Answer :
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.
So
SI = 1000
T = 1 Year
R = 8%
P = 100*1000/8*1 = 12500
Answer :
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
Answer :
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
Answer :
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.
15->46->23->70->35->106->53->160->80->40->20->10->5->16->8->4->2->1
Answer :
27, which takes 111 steps
Answer :
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
Question 10. E=i*i*r What Is The Effect Of E When I Becomes I/2?
Answer :
E = I * I * R
Now if I = I / 2
Now E = I/2 * I/2 * R
Therefore E will decrease 4 times
Question 11. Out Of 55 Eggs 5 Are Defective. What Is % Of Defective Eggs?
Answer :
(5/55)*100 = 9 1/11
Answer :
s1*x/100 + s2*x/100 + s3*x/100
s1 = s2 = s3
Ans = s1*x/100
Answer :
Octal representation of decimal 100 is 144
10010 = 1448
Answer :
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)
=> s=4x+60
=> 4x=s-60
=> x=(s-60)/4
Therefore 1st pesron will get (s-60)/4
Question 15. 1/8 Is Divided By 's' , If 's' Is Increased By 2 Times, What Is The Result?
Answer :
Answer = 1/(8s/2)
= 1/4s
Increases two times
Question 16. X Y Z U V W R S T __?
Answer :
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
Answer :
ExplanationDiscuss the solution:
Difference between letter index position increases as 1, 2, 3, 4, 5...
Answer is u.
Answer :
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
Answer :
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.
Answer :
From point A we draw the perpendicular
segment AP to the basis EC.
Then EP=(20-10)/2=5
From the rectangular triangle EAC
(A=90) we have
(AE)^2=(EP)(EC)
(AE)^2=5*20
(AE)^2=100
(AE)=10
Answer :
a , we have to subtract
b/3 and c/2
so water left in container A
= a - (b/3 + c/2)
Answer :
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
Answer :
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
Question 24. If Log2 X - 5 Log X + 6 = 0, Then What Would The Value / Values Of X Be?
Answer :
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
Answer :
Let the number be 10A + B = C
now, (C^2/(C/2) + 36)/2= 10B + A
or, (2C+36)/2 = 10B + A
or C+18=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
Hence A=2*2=4
B=2+4=6
The original number is 40 + 6 = 46.
Answer :
In descending order,
using denominations of 1p,5p,10p,25p which are available.
Thus,
25p coins : 1
10p coins : 2
5p coins : 2
1p coins : 45
Question 27. Complete The Sequence A, E ,i ,m ,q ,u , _ , _?
Answer :
Y,C
After each character +3
Answer :
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.
Answer :
Probability of events happening together = Product of individual probabilities
= 0.8 * 0.6 = 0.48.
Answer :
______
| 5km
| |
| |
15km| |12km
| |
|_____|
5km
Hence 15-12 is 3kms
Question 31. Find The Next Number In The Series 1, 3 ,7 ,13 ,21 ,31?
Answer :
k(n) = k(n-1) +2(n-1) with
k(1) =1
k(7) =k(6) +2(7-1)
k(7) =31 +2*6
k(7) =31+12
k(7) =43
Answer :
M-8
A-2
N-3
G-4
O-7
So for mango the code is 82347
Answer :
The first hour, the monkey goes 3 feet up, and slips back 2 feet.
0.1..2..3..4..5..6
|---|---|---|---|---|---|
---------->
....<-----
(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.
Question 34. What Is The Missing Number In This Series? 8 2 14 6 11 _ 14 6 18 12?
Answer :
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
Answer :
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.
Answer :
Let the age of nepo be x years,age of his father is (40+2x),age of his son (x/3)
(40+2x)+x+(x/3)=1240
Solving this equation we get the age of nepo i.e. (x) is 360 years old
Answer :
dog
dog
dog
So there are 3 dogs
Answer :
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
Question 39. If It Takes Five Minutes To Boil One Egg, How Long Will It Take To Boil Four Eggs?
Answer :
Five minutes if we keep the four eggs in the same bowl.
Answer :
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
Let
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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