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Q:

The minimum forest cover to maintain ecological balance in the plains is

A) 25% B) 33%
C) 40% D) 50%
 
Answer & Explanation Answer: B) 33%

Explanation:
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Q:

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

A) 3 B) 5
C) 3! D) 5!
 
Answer & Explanation Answer: B) 5

Explanation:

The possible outcomes that satisfy the condition of "at least one house gets the wrong package" are:
One house gets the wrong package or two houses get the wrong package or three houses get the wrong package.

We can calculate each of these cases and then add them together, or approach this problem from a different angle.
The only case which is left out of the condition is the case where no wrong packages are delivered.

If we determine the total number of ways the three packages can be delivered and then subtract the one case from it, the remainder will be the three cases above.

There is only one way for no wrong packages delivered to occur. This is the same as everyone gets the right package.

The first person must get the correct package and the second person must get the correct package and the third person must get the correct package.
 1×1×1=1

Determine the total number of ways the three packages can be delivered.
 3×2×1=6

The number of ways at least one house gets the wrong package is:
  6−1=5
Therefore there are 5 ways for at least one house to get the wrong package.

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Q:

The National forest policy aims at maintaining how much of the geographical area under forests

A) Half B) One-third
C) One-fourth D) One-fifth
 
Answer & Explanation Answer: B) One-third

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Q:

Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?

A) 3 B) 6
C) 4 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Let the number of Rose plants be ‘a’.
Let number of marigold plants be ‘b’.
Let the number of Sunflower plants be ‘c’.
20a+5b+1c=1000; a+b+c=100

 

Solving the above two equations by eliminating c,
19a+4b=900

b = (900-19a)/4 

b = 225 - 19a/4----------(1)


b being the number of plants, is a positive integer, and is less than 99, as each of the other two types have at least one plant in the combination i.e .:0 < b < 99--------(2)

Substituting (1) in (2),

 0 < 225 - 19a/4 < 99

225 <  -19a/4 < (99 -225)

=> 4 x 225 > 19a > 126 x 4

=> 900/19 > a > 505

 

a is the integer between 47 and 27 ----------(3)
From (1), it is clear, a should be multiple of 4.


Hence possible values of a are (28,32,36,40,44)


For a=28 and 32, a+b>100
For all other values of a, we get the desired solution:
a=36,b=54,c=10
a=40,b=35,c=25
a=44,b=16,c=40


Three solutions are possible.

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Q:

Which one of the following is the central theme of the Chipko Movement, started by Sunderlal Bahuguna in 1973

A) Conservation of river water B) Conservation of forests
C) Protection of birds D) Protection of cheetals
 
Answer & Explanation Answer: B) Conservation of forests

Explanation:
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Q:

Among the following rivers which one is the largest

A) Godavari B) Kaveri
C) Yamuna D) Krishna
 
Answer & Explanation Answer: A) Godavari

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Q:

The World's largest railway platform is at

A) Talchar B) New York
C) Kharagpur D) None of these
 
Answer & Explanation Answer: C) Kharagpur

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Q:

In India, the state known for its sandalwood is

A) Karnataka B) Assam
C) Kerala D) West Bengal
 
Answer & Explanation Answer: A) Karnataka

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Filed Under: Indian Economy