AIEEE Questions and Answers with Explanation

Q:

If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number 93217648 and using each only once, which of the following is that two-digit odd number?

A) 17	B) 19
C) 15	D) 21

Answer & Explanation Answer: B) 19

Explanation:

Second, fourth and the sixth digits of the number are 3, 1 and 6. Using these digits only once we can make 361, which is a perfect square number. Hence, our answer is 19 x 19 = 361

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Filed Under: Number, Ranking and Time Sequence Test
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9 5806

Q:

The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ?

A) Rs. 6000	B) Rs. 5550
C) Rs. 7500	D) Rs. 6580

Answer & Explanation Answer: A) Rs. 6000

Explanation:

Let the sum invested be Rs. P

Let the rate of interest be R% per annum

=> Interest earned for 5 years = (P x 5 x R/100) = PR/20

Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)%

=> SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100

Hence,

PR/20 + 10P/100 = PR/20 + 600

=> P = 6000

Therefore, the sum invested is Rs. 6000

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Filed Under: Simple Interest
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13 5805

Q:

"Confederation Cup" is associated with which of the following game?

A) Hockey	B) Badminton
C) Chess	D) Football

Answer & Explanation Answer: D) Football

Explanation:

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Filed Under: Sports
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11 5802

Q:

On Rs. 3500 invested at a simple interest rate of 7 per cent per annum, Rs. 500 is obtained as interest in certain years. In order to earn Rs. 800 as interest on Rs. 4900 in the same number of years, what should be the rate of simple interest?

A) 8%	B) 7.5%
C) 9%	D) 8.5%

Answer & Explanation Answer: A) 8%

Explanation:

From the given data,

3500x7xt/100 = 500

=> t = 100/49 years

Now, in the second case

The interest per year = 49/100 x 800 = 392

=> 4900 x 1 x r/100 = 392

=> r = 8%

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Filed Under: Simple Interest
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10 5797

Q:

Dry distillation of calcium formate gives

A) HCOOH	B) CH3COOH
C) HCHO	D) CH3CHO

Answer & Explanation Answer: C) HCHO

Explanation:

Dry distillation of calcium acetate and calcium formate leads to the formation of aldehydes and ketones.

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Filed Under: Chemistry
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9 5796

Q:

$2660 o f \frac{1}{7} o f \frac{1}{2} o f \frac{1}{9.5} o f \frac{1}{2} = ?$

A) 1	B) 10
C) 0.1	D) 100

Answer & Explanation Answer: B) 10

Explanation:

$\frac{1}{7} x \frac{1}{2} x \frac{1}{9.5} x \frac{1}{2} x 2660 = \frac{2660}{266} = 10$

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Filed Under: Simplification
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3 5795

Q:

Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?

A) Rs. 3680	B) Rs. 3560
C) Rs. 3320	D) Rs. 3250

Answer & Explanation Answer: D) Rs. 3250

Explanation:

Let the Cost price of the powerbank = Rs. P

But given that by selling it at Rs. 1950, it gives a loss of 25%

=> $\frac{P x 75}{100} = 1950$
=> $P = \frac{1950 x 100}{75}$ = Rs. 2600
Now, to get a profit of 25%

Selling Price = $\frac{2600 x 125}{100} = Rs . 3250$ .

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Filed Under: Profit and Loss
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15 5794

Q:

In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?

A) 2:3	B) 4:3
C) 3:4	D) 3:2

Answer & Explanation Answer: D) 3:2

Explanation:

Let he mixes the oils in the ratio = x : y

Then, the cost price of the oils = 60x + 65y

Given selling price = Rs. 68.20

=> Selling price = 68.20(x+y)

Given profit = 10% = SP - CP

=> 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y)

=> 6x + 6.5y = 8.20x + 3.20y

=>2.2x = 3.3y

=> x : y = 3 : 2

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Filed Under: Alligation or Mixture
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17 5785

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