AIEEE Questions and Answers with Explanation

Q:

Find the next number in the given number sequence?

4, 15, 37, 81, ?

A) 196	B) 169
C) 144	D) 121

Answer & Explanation Answer: B) 169

Explanation:

The given number series follows a pattern that, 4, 15, 37, 81, ?

4

4 + 11 = 15

15 + 22 = 37

37 + 44 = 81

81 + 88 = 169

Hence, the next number in the sequence is 169.

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Filed Under: Number Series
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10 28248

Q:

Fill in the blank with the most appropriate option.

Ethanol is denatured to ___.

A) make it unsuitable for drinking	B) make it suitable for drinking
C) increase its stability	D) make it suitable as an antiseptic

Answer & Explanation Answer: A) make it unsuitable for drinking

Explanation:

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Filed Under: Chemistry
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1 28054

Q:

Which of the following statements are CORRECT?

I. Oxides of metals are generally basic.

II. Oxides of non-metals are generally acidic.

III. Non-metals are generally electro positive.

A) Only I and II	B) Only I and III
C) Only II and III	D) All I, II and III

Answer & Explanation Answer: A) Only I and II

Explanation:

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Filed Under: Chemistry
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1 28044

Q:

Fill in the blank with the most appropriate option.

Plants that do not have a differentiated plant body belong to the group _____

A) Bryophyta	B) Phanerogams
C) Thallophyta	D) Pteridophyta

Answer & Explanation Answer: C) Thallophyta

Explanation:

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Filed Under: Biology
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3 28032

Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?

A) 45/7 %	B) 50/9 %
C) 51/7 %	D) 47/ 9 %

Answer & Explanation Answer: B) 50/9 %

Explanation:

Let sum = S. Then, amount = 7S/6

S.I. = 7S/6 - S = S/6; Time = 3 years.

Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

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Filed Under: Simple Interest
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26 28024

Q:

125 over 1000 in Simplest Form?

A) 2/9	B) 1/8
C) 3/8	D) 4/7

Answer & Explanation Answer: B) 1/8

Explanation:

125 over 1000 in Simplest Form means $\frac{125}{1000}$ in its simple fraction form.

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

HCF of 125, 1000 = 125

Then, divide both numerator and denominator by 125

i.e, $\frac{\frac{125}{125}}{\frac{1000}{125}} = \frac{1}{8}$

Hence, $\frac{1}{8}$ is the simplest form of 125 over 1000.

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Filed Under: Decimal Fractions
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50 27964

Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of $\frac{a^{2} + b^{2} + c^{2}}{3}$ is :

A) M	B) 3 M^2
C) 2 (M/3)	D) M^2

Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.

Now. ${(a + b + c)}^{2} = {(3 M)}^{2} = 9 M^{2}$ .

$< = > a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a) = 9 M^{2}$

$a^{2} + b^{2} + c^{2} = 9 M^{2}, (a b + b c + c a = 0)$

Required mean = $(\frac{a^{2} + b^{2} + c^{2}}{3}) = \frac{9 M^{2}}{3} = 3 M^{2}$ .

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Filed Under: Average
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35 27865

Q:

If today is Saturday, what will be the day 350 days from now ?

A) Saturday	B) Friday
C) Sunday	D) Monday

Answer & Explanation Answer: A) Saturday

Explanation:

350 days = (350/7=50 weeks) i.e No odd days,

So it will be a Saturday.

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Filed Under: Calendar
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93 27768

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