Ques:- There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position. In the mean time the whole platoon has moved ahead by 50m. The question is how much distance did the last person cover in that time. Assuming that he ran the whole distance with uniform speed.
Ques:- Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days?
Recent Answer : :
Use 3pt. Formula
( (x-x1)/(x2-x1) )=( (y-y1)/(y2-y1) )
We get 150
Ques:- A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs.- _______ for the horse and Rs.________ for the cart.
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Ques:- How would the amends in monetary policy by Urjit Patel affect Indian economy?
Ques:- A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Ques:- For 2009, World Bank has projected India?s GDP growth at?
Recent Answer : :
In a cube all the diagonal and sides are equal, we can go diagonally.
Ques:- A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Recent Answer : :
40
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Ques:- A person was fined for exceeding the speed limit by 10mph. Another person was also fined for exceeding the speed limit by twice the same. If the second person was travelling at speed of 35mph . Find the speed limit ?
Recent Answer : :
let the speed limit be x.
speed by first rider S1 and 2nd rider be S2.
S1=x+10;
ans S2=x+2*10; and given S2=35.
solving we get x=15mph.
Ques:- Which least number must be added to 1056 so that the sum is completely divisible by 23 ?
Ques:- Find out the wrong number in each sequence:
22, 33, 69, 99, 121, 279, 594
22, 33, 69, 99, 121, 279, 594
A. 594
B. 279
C. 121
D. 33
Recent Answer : :
B. 279
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Ques:- What motivates a person?
Recent Answer : :
That person’s struggle and dream to achieve something motivates the person.
Ques:- Passenger train and Freight train passing on parallel tracks. Passenger train takes takes twice as much time to pass the Freight train when moving in same direction and also the same time when moving in the opp direction. How much faster is the passanger train?
Ques:- Least perfect square number, exactly divisible by 21, 36 and 56 is?
Ques:- The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
Ques:- If the area of the sqaure is increased by 69 % how much the length of the side will increase?
Recent Answer : :
30%
suppose the area is 100 and it was increased by 69%, then
the area is 169 which it indicates the side of the square
is 13.. which means 30% increase in its side.
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Ques:- A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
Recent Answer : :
400
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Ques:- Each side of a rectangle is increased by 100% .By what percentage does the area increase?
Recent Answer : :
400%
e.g:-
l = 5 b = 2
Area= l*b =10
New after 100% increament
l=10 b = 4
Area = 10*4
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Ques:- Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.
Recent Answer : :
Let ‘N’ is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.
Required number = (LCM of 13 and 16) – (common difference of divisors and remainders)
= (208) – (11) = 197.
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The last person covered 120.71 meters.
It is given that the platoon and the last person moved with
uniform speed. Also, they both moved for the identical
amount of time. Hence, the ratio of the distance they
covered – while person moving forward and backword – are
equal.
Let’s assume that when the last person reached the first
person, the platoon moved X meters forward.
Thus, while moving forward the last person moved (50+X)
meters whereas the platoon moved X meters.
Similarly, while moving back the last person moved [50-(50-
X)] X meters whereas the platoon moved (50-X) meters.
Now, as the ratios are equal,
(50+X)/X = X/(50-X)
(50+X)*(50-X) = X*X
Solving, X=35.355 meters
Thus, total distance covered by the last person
= (50+X) + X
= 2*X + 50
= 2*(35.355) + 50
= 120.71 meters
Note that at first glance, one might think that the total
distance covered by the last person is 100 meters, as he
ran the total lenght of the platoon (50 meters) twice.
TRUE, but that’s the relative distance covered by the last
person i.e. assuming that the platoon is stationary.