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Q:

Mahajanapada situated on the bank of river Godavari was

A) Avanti	B) Vatsa
C) Assaka	D) Kamboja

Answer & Explanation Answer: C) Assaka

Explanation:

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Filed Under: Indian History

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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Filed Under: Permutations and Combinations

Q:

Gold Mines in India are located mainly at

A) Kolar	B) Raniganj
C) Jadugoda	D) Veeranam

Answer & Explanation Answer: A) Kolar

Explanation:

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Filed Under: Indian Economy

Q:

The Government of India has decided to declare which of the following rivers a ' National River '

A) Yamuna	B) Kaveri
C) Ganga	D) None of these

Answer & Explanation Answer: C) Ganga

Explanation:

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Filed Under: Indian Economy

Q:

When was the first national Forest Policy issued by the Government of India

A) 1940	B) 1952
C) 1942	D) 1999

Answer & Explanation Answer: B) 1952

Explanation:

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Filed Under: Indian Economy

Q:

Tarun got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labelled price ?

A) 10000	B) 12000
C) 13000	D) 14000

Answer & Explanation Answer: A) 10000

Explanation:

Cost Price = $R s . [\frac{100}{125} \times 8750]$ = Rs. 7000. Let the labelled price be Rs. x.

Then, $\frac{70}{100} * x = 7000$ $\Rightarrow x = R s . (\frac{7000 * 100}{70})$

= Rs.10000

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Filed Under: Profit and Loss

Q:

Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

A) 128	B) 64
C) 32	D) 16

Answer & Explanation Answer: B) 64

Explanation:

7th stop only one was left and in each preceding stop twice the nos... there were so 6 stops before 7th.

so $2^{6} = 64$

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Filed Under: Problems on Numbers
Exam Prep: GRE

Q:

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

A) 11/P + 6	B) P/11 +6
C) 17 - P/6	D) 17/P

Answer & Explanation Answer: A) 11/P + 6

Explanation:

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

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Filed Under: Problems on Ages
Exam Prep: GRE

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