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Ques:- About my geographical knowledge, about my past companies, about my past working experiences, about my future planning and expectations from the new co
Ques:- A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Recent Answer : Added by shashank chourasiya On 2022-03-09 16:42:05:
Hint: Assume that the speed of the stream is x and the speed of the boat in still water is x. From the statement of the question form two equations in two variables x and y. This system is reducible to linear equations in two variables. Reduce the system to a system of linear equations in two variables by proper substitutions. Solve the system of equations using any one of the methods like Substitution method, elimination method, graphical method or using matrices. Hence find the value of x satisfying both the equation. The value of x will be the speed of the stream.
Complete step-by-step answer:
Let the speed of the stream be x, and the speed of the boat in still water be y.
We have the speed of the boat upstream = y-x.
Speed of the boat downstream = y+ x.
Now since it takes 14 hours to reach a place at a distance of 48 km and come back, we have the sum of the times taken to reach the place downstream and time taken to return back upstream is equal to 14.
Now, we know that time =Distance speed
Using, we get
Time taken to reach the place =48y+x and the time taken to return back =48y−x.
Hence, we have
48y+x+48y−x=14
Dividing both sides by 2, we get
24y+x+24y−x=7 —–(i)
Also, the time taken to cover 4km downstream is equal to the time taken to cover 3km upstream.
Hence, we have 4y+x=3y−x
Transposing the term on RHS to LHS, we get
4y+x−3y−x=0 ——– (ii)
Put 1y+x=t and 1y−x=u, we have
24t+24u=7 ——-(iii)4t−3u=0 ——–(iv)
Multiplying equation (iv) by 6 and subtracting from equation (iii), we get
24t−24t+24u+18u=7⇒42u=7
Dividing both sides by 42, we get
u=742=16
Substituting the value of u in equation (iv), we get
4t−3(16)=0⇒4t−12=0
Adding 12 on both sides, we get
4t=12
Dividing both sides by 4, we get
t=18
Reverting to original variables, we have
1y+x=18 and 1y−x=16
Taking reciprocals on both sides in both equations, we have
y+ x=8 ——- (v)y−x=6 ——–(vi)
Adding equation (v) and equation (vi), we get
2y=14
Dividing both sides by 2, we get
y=7.
Substituting the value of y in equation (v), we get
7+x=8
Subtracting 7 from both sides we get
x = 8-7 =1
Hence the speed of the stream is 1 km/hr.
Ques:- By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
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Ques:- What is your greatest achievement till date?
Recent Answer : Added by John John Mbilao On 2022-04-02 07:00:08:
My greatest achievement is to avoid Giving up since it made me who l am today and l am able to walk fearless towards achieving my goals.
Ques:- A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Recent Answer : Added by anit On 2021-10-08 16:31:41:
1208.9
Ques:- Find out the distinct numbers that can be formed by 2, 3, 7, 6(don?t now exactly) that should be divided by 4?
Recent Answer : Added by Abdul On 2022-05-17 09:06:31:
Ans = 8
Use simple box method
[1][2][2][2]= 1x2x2x2 =8
Logic >
once place have 2 number (2,6)
Tens place have also 2 number (7,3)
So that number is divisible by 4
Now, 2 numbers fixed at once and tens place left 2 numbers which is choice at hundredth place
Now 3 number fix left 1 number which is placed at thousands place
Total number form is 4×4 = 16
But divisible by 4 is 1x2x2x2 =8
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Ques:- Two trains are moving in the same directions at 65 km/hr and 45 km/hr. The faster train crosses a man in slower train in 18 seconds. The length of the faster train is
A. 100 m
B. 120 m
C. 145 m
D. 180 m
Recent Answer : Added by Prashanth On 2022-11-10 16:31:44:
Relative speed =65-45km/hr
Relative speed=20km/hr
Convert to m/s
S=20*5/18
S=5.555
Length of the faster train =5.55555*18seconds
=100meters
Ques:- There are 100 people in an organization. If 46 people can speak English, 46 Spanish, 58 French, 16 can speak both English and Spanish, 24 can speak both Spanish and French, 26 both English and French and 7 can speak all the languages.How many are there who cannot speak any of the three languages.
Ques:- ‘School’ is related to ‘Education’ in the same way as ‘Hospital’ is related to
Recent Answer : Added by Admin On 2020-05-17 12:03:35:
( a ) Treatment
Ques:- A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
Ques:- Two pipes X and Y can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe X is turned off. How much time will it take to fill the tank?
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Ques:- A chocolate block is of 4 X 4 size. How many cuts are needed to make 1 X 1 size blocks. No simultaneous vert. & horz. cuts?
Recent Answer : Added by Admin On 2020-05-17 12:02:27:
6 cuts
Ques:- A worker earns a 5% raise. A year later, the worker receives a 2.5% cut in pay, & now his salary is Rs.22702.68
What was his salary to begin with?
Recent Answer : Added by Admin On 2020-05-17 12:01:03:
Assume his salary was Rs. X
He earns 5% raise. So his salary is (105*X)/100
A year later he receives 2.5% cut.
So his salary is ((105*X)/100)*(97.5/100)
which is Rs. 22702.68
So Ans is Rs.22176
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Ques:- A positive number when decreased by 2 is equal to 15 times the reciprocal of the number. What is the number ?
Recent Answer : Added by Abhi Chatterjee On 2022-01-08 16:05:35:
Let the number be x.
So x-2 =15/x, or
x^2–2x-15=0, or
(x-5)(x+3)=0
Hence x = 5 or -3.
Check: When x=5, 5–2=3 which is 15/5=3.
When x=-3, -3–2=-5 which is 15/-3=-5.
The number is 5 or -3.
Ques:- There is a pond of irregular shape and size. Suggest a method to find the volume of water in the pond.
Ques:- The price of rice is reduced by 2%. How many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier?
A. 48 kg
B. 49 kg
C. 50 kg
D. 51 kg
Recent Answer : Added by narendra On 2022-09-18 09:03:38:
c
Ques:- A train travelling at a speed of 90 km/hr, crosses a pole in 10 seconds. The length of the train is
A. 100 m
B. 150 m
C. 250 m
D. 900 m
Recent Answer : Added by vineet kumar On 2022-08-14 16:44:48:
Train speed 90 km /h
1st we have to change in m/s. then 90*5/18=25m/s
Then d=speed*time
=25*10=250m train length
Ques:- In a 10 digit number, if the 1st digit number is the number of ones, 2nd digit number is the number of twos, and so on. 10th digit is the number of zeroes, then find the number
Recent Answer : Added by Raju On 2022-04-05 16:00:09:
0987654321
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Ques:- The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
Recent Answer : Added by Gopi Krishna On 2022-08-14 16:28:41:
995
Ques:- In a certain code, LABOUR is written as KBAPTS. How is CANDID written in that code?
Recent Answer : Added by Akilarasi On 2021-06-09 16:17:14:
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Hint: Assume that the speed of the stream is x and the speed of the boat in still water is x. From the statement of the question form two equations in two variables x and y. This system is reducible to linear equations in two variables. Reduce the system to a system of linear equations in two variables by proper substitutions. Solve the system of equations using any one of the methods like Substitution method, elimination method, graphical method or using matrices. Hence find the value of x satisfying both the equation. The value of x will be the speed of the stream.
Complete step-by-step answer:
Let the speed of the stream be x, and the speed of the boat in still water be y.
We have the speed of the boat upstream = y-x.
Speed of the boat downstream = y+ x.
Now since it takes 14 hours to reach a place at a distance of 48 km and come back, we have the sum of the times taken to reach the place downstream and time taken to return back upstream is equal to 14.
Now, we know that time =Distance speed
Using, we get
Time taken to reach the place =48y+x and the time taken to return back =48y−x.
Hence, we have
48y+x+48y−x=14
Dividing both sides by 2, we get
24y+x+24y−x=7 —–(i)
Also, the time taken to cover 4km downstream is equal to the time taken to cover 3km upstream.
Hence, we have 4y+x=3y−x
Transposing the term on RHS to LHS, we get
4y+x−3y−x=0 ——– (ii)
Put 1y+x=t and 1y−x=u, we have
24t+24u=7 ——-(iii)4t−3u=0 ——–(iv)
Multiplying equation (iv) by 6 and subtracting from equation (iii), we get
24t−24t+24u+18u=7⇒42u=7
Dividing both sides by 42, we get
u=742=16
Substituting the value of u in equation (iv), we get
4t−3(16)=0⇒4t−12=0
Adding 12 on both sides, we get
4t=12
Dividing both sides by 4, we get
t=18
Reverting to original variables, we have
1y+x=18 and 1y−x=16
Taking reciprocals on both sides in both equations, we have
y+ x=8 ——- (v)y−x=6 ——–(vi)
Adding equation (v) and equation (vi), we get
2y=14
Dividing both sides by 2, we get
y=7.
Substituting the value of y in equation (v), we get
7+x=8
Subtracting 7 from both sides we get
x = 8-7 =1
Hence the speed of the stream is 1 km/hr.