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Q:

If $A = \frac{l o g_{3} (2187)}{5}$ and $B = l o g_{243} (2187)$ , then which one of the following is correct?

A) A	B) A=B
C) A>B	D) can't be determined

Answer & Explanation Answer: B) A=B

Explanation:

Given $A = \frac{\log_{3} (2187)}{5} a n d B = \log_{243} (2187)$

$B = \log_{3^{5}} (2187) = \frac{\log_{3} (2187)}{5}$

=> A

Therefore, A = B

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Filed Under: Logarithms
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Q:

A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?

A) He Gained Rs. 200	B) He lost Rs. 200
C) He neither gained nor lost	D) None of the above

Answer & Explanation Answer: D) None of the above

Explanation:

The CP of profitable cow = 9900/1.1 = 9000

and profit = Rs. 900

The CP of loss yielding cow = 9900/0.8 = 12375

and loss = Rs. 2475

so, the net loss = 2475 - 900 = 1575

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Filed Under: Profit and Loss
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Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33% , what is the increased selling price?

A) 240	B) 360
C) 420	D) 600

Answer & Explanation Answer: C) 420

Explanation:

Initially CP profit SP MP

100 x (100+x) 133.33

After Change 100 2x (100+x)

Now, Since (100+x) - 100 = 2x

$\frac{7}{6}$ x= 20%

CP Profit SP MP

100 20 120 133.33

So, 300 60 360 400

Again 300 120 420

So the increased selling price = Rs. 420

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Filed Under: Profit and Loss

Q:

In which state, the President's Rule was first imposed in India

A) Andhra Pradesh	B) Bihar
C) Assam	D) Arunachal Pradesh

Answer & Explanation Answer: A) Andhra Pradesh

Explanation:

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Filed Under: Indian Politics

Q:

Which High Court for the first time in India declared "Bandh" as illegal

A) Allahabad High Court	B) Gujarat High Court
C) Kerala High Court	D) Rajasthan High Coutrt

Answer & Explanation Answer: C) Kerala High Court

Explanation:

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Filed Under: Indian Politics

Q:

In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective products?

A) 89%	B) 97.1%
C) 96.1%	D) 86.1%

Answer & Explanation Answer: C) 96.1%

Explanation:

Non- defective products

$\frac{25 x 0.98 + 35 x 0.96 + 40 x 0.95}{100} x 100 = 96.1$

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Filed Under: Percentage
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Q:

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :

A) 500/3	B) 700/3
C) 300	D) 600

Answer & Explanation Answer: B) 700/3

Explanation:

Let the initial amount be x (with gambler), then

$[[(x + 100) \frac{1}{2} + 100] \frac{1}{2} + 100] \frac{1}{2} = \frac{x}{2}$

=> x = 700/3

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Filed Under: Percentage
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Q:

Abhinav scores 80% in physics and 66% in chemistry and the maximum marks of both the papers are 100. what percent does he score in maths which is of 200 marks, if he scores 80% marks in all the three subjects:

A) 74%	B) 84%
C) 87%	D) 83%

Answer & Explanation Answer: C) 87%

Explanation:

$\frac{80}{100} + \frac{66}{100} + \frac{x}{200} = \frac{320}{400}$

=>x = 174 => 87%

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Filed Under: Percentage

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