AIEEE Questions and Answers with Explanation

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
Exam Prep: AIEEE , Bank Exams , CAT
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35 28605

Q:

Smallest Taluk in Kerala State?

A) Kunnathur	B) Eranad
C) Palakkad	D) Alappuzha

Answer & Explanation Answer: A) Kunnathur

Explanation:

Kunnathur is the Smallest Taluk in Kerala State.

Smallest_Taluk_in_Kerala_State1557490637.jpg image

Taluk :

In Kerala, the administrative divisions below the district are called Taluk. There are 77 Taluks in Kerala State.

Eranad is the Largest Taluk in Kerala State.

Palakkad is the Largest District in Kerala State.

Alappuzha is the Smallest District in Kerala State.

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Filed Under: Indian Geography
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46 28568

Q:

Transmission data rate is decided by

A) Transport layer	B) Network layer
C) Physical layer	D) Data link layer

Answer & Explanation Answer: C) Physical layer

Explanation:

The speed of the transmission data is generally determined by the cables or connectors we use for data transmission. In networking, layer-1 the physical is which deals with the network cables like pins, usb, connectors, etc... we use for data transmission.

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Filed Under: Networking
Exam Prep: AIEEE , Bank Exams
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39 28559

Q:

Is C2 Paramagnetic or Diamagnetic?

A) Paramagnetic	B) Diamagnetic
C) Ferromagnetic	D) Can't be determined

Answer & Explanation Answer: B) Diamagnetic

Explanation:

Paramagnetic Molecules ::

If the Electronic configuration of a molecule has any unpaired electrons, then that molecule is said to be Paramagnetic.

Diamagnetic Molecules ::

If the Electronic configuration of a molecule has only paired or spin paired electrons, then that molecule is said to be Diamagnetic.

Is_C2_Paramagnetic_or_Diamagnetic1556263140.jpg image

Here the molecule C2 has all paired electrons in its electronic configuration. So C2 is Diamagnetic.

Whereas, B2 molecule has unpaired electrons. So B2 is Paramegnetic.

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Filed Under: Chemistry
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32 28493

Q:

Direction: What should come in the place of question mark (?) in the following number series?

2, 3, 6, 15, 45, ?

A) 90	B) 135
C) 157.5	D) 200

Answer & Explanation Answer: C) 157.5

Explanation:

The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

0 28459

Q:

A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.

A) 23/42	B) 19/42
C) 7/32	D) 16/39

Answer & Explanation Answer: B) 19/42

Explanation:

A red ball can be drawn in two mutually exclusive ways

(i) Selecting bag I and then drawing a red ball from it.

(ii) Selecting bag II and then drawing a red ball from it.

Let E1, E2 and A denote the events defined as follows:

E1 = selecting bag I,

E2 = selecting bag II

A = drawing a red ball

Since one of the two bags is selected randomly, therefore

P(E1) = 1/2 and P(E2) = 1/2

Now, $P (\frac{A}{E_{1}})$ = Probability of drawing a red ball when the first bag has been selected = 4/7

$P (\frac{A}{E_{2}})$ = Probability of drawing a red ball when the second bag has been selected = 2/6

Using the law of total probability, we have

P(red ball) = P(A) = $P (E_{1}) \times P (\frac{A}{E_{1}}) + P (E_{2}) \times P (\frac{A}{E_{2}})$

= $\frac{1}{2} \times \frac{4}{7} + \frac{1}{2} \times \frac{2}{6} = \frac{19}{42}$

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Filed Under: Probability
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64 28447

Q:

In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ?

A) 14th	B) 16th
C) 18th	D) 20th

Answer & Explanation Answer: C) 18th

Explanation:

Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.

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Filed Under: Number, Ranking and Time Sequence Test
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102 28438

Q:

Pointing to a woman, a man said, "Her father is the only son of my father." How is the man related to the woman?

A) Father	B) Brother
C) Uncle	D) Brother-in-law

Answer & Explanation Answer: B) Brother

Explanation:

The man said, "Her father is the only son of my father."

Then the woman's father and the man's is the same

=> The woman and the man are brother and sisters.

Hence, the man is the brother of the woman.

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Filed Under: Blood Relations
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58 28425

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