AIEEE Questions

Q:

A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?

A) 5 kmph B) 7 kmph
C) 3 kmph D) 4 kmph
 
Answer & Explanation Answer: D) 4 kmph

Explanation:

Speed of Man = 4.5 kmph
Speed of stream = 1.5 kmph
Speed in DownStream = 6 kmph
Speed in UpStream = 3 kmph
Average Speed = (2 x 6 x 3)/9 = 4 kmph.

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Filed Under: Time and Distance
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16 16058
Q:

In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

A) 6/7 B) 19/21
C) 7/31 D) 5/21
 
Answer & Explanation Answer: D) 5/21

Explanation:

Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁)

As remaining person can be any one among three couples left.

Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅
= (10 x 6)/252 = 5/21

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Filed Under: Probability
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12 16047
Q:

Happiness is to 517768399 as senipah is to

A) 9836715 B) 9386615
C) 9386715 D) 9386517
 
Answer & Explanation Answer: C) 9386715

Explanation:

If each consecutive letter in "happiness" relates to the consecutive numbers in 517768399, then H=5, A=1, P=7, I=6, N=8, E=3 and S=9.

Using the numbers that relate to the letters in 'senipah', you will arrive at

SENIPAH = 9386715.

 

Hence, Happiness is to 517768399 as senipah is to 9386715.

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42 16043
Q:

A fair six-sided die is rolled twice. What is the probability of getting 4 on the first roll and not getting 6 on the second roll ?

A) 1/36 B) 5/36
C) 1/12 D) 1/9
 
Answer & Explanation Answer: B) 5/36

Explanation:

The two events mentioned are independent.

The first roll of the die is independent of the second roll. Therefore the probabilities can be directly multiplied.

P(getting first 4) = 1/6

P(no second 6) = 5/6

Therefore P(getting first 4 and no second 6) = 1/6 x 5/6 = 5/36

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Filed Under: Probability
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6 16035
Q:

Which of the following is an Autotroph?

A) Fish B) Algae
C) Butterfly D) Mushroom
 
Answer & Explanation Answer: B) Algae

Explanation:

Here from the above options, Algae is an Autotroph.

Autotrophs : 

An Autotroph is also called as Producer, is an organism that produces complex organic compounds from simple substances present in its surroundings, generally using energy from light or inorganic chemical reactions.

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Filed Under: Biology
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78 16023
Q:

Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ?

A) 24 B) 23
C) 22 D) 25
 
Answer & Explanation Answer: A) 24

Explanation:

Given that the month begins on a Friday and has 31 days

 

Sundays = 3rd, 10th, 17th, 24th, 31st
=> Total Sundays = 5

 

Every second & fourth Saturday is holiday.
2nd & 4th Saturday in every month = 2

 

Total days in the month = 31

 

Total working days = 31 - (5 + 2) = 24 days.

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Filed Under: Calendar
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68 15980
Q:

Which combination of atoms can form a polar covalent bond?

A) H and Br B) H and H
C) Na and Br D) N and N
 
Answer & Explanation Answer: A) H and Br

Explanation:

Only H and Br form Polar Covalent Bond.

 

Covalent bonding:

Covalent bonding occurs when pairs of electrons are shared by atoms. Atoms will covalently bond with other atoms in order to gain more stability, which is gained by forming a full electron shell. By sharing their outer most (valence) electrons, atoms can fill up their outer electron shell and gain stability.

1. Polar Covalent Bond

2. Nonpolar Covalent Bond

 

1. Polar Covalent Bond:

A Polar Covalent Bond is created when the shared electrons between atoms are not equally shared. This occurs when one atom has a higher electronegativity than the atom it is sharing with. The atom with the higher electronegativity will have a stronger pull for electrons (Similiar to a Tug-O-War game, whoever is stronger usually wins). As a result, the shared electrons will be closer to the atom with the higher electronegativity, making it unequally shared.

 

2. Nonpolar Covalent Bond:

A Nonpolar Covalent Bond is created when atoms share their electrons equally. This usually occurs when two atoms have similar or the same electron affinity. The closer the values of their electron affinity, the stronger the attraction. This occurs in gas molecules; also known as diatomic elements. Nonpolar covalent bonds have a similar concept as polar covalent bonds; the atom with the higher electronegativity will draw away the electron from the weaker one.

 

Here H and H and N and N form Non-polar covalent bonds. Na and Br form the ionic bond.

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Filed Under: Chemistry
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13 15958
Q:

A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ?

A) 600 B) 610
C) 609 D) 599
 
Answer & Explanation Answer: A) 600

Explanation:

Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.

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Filed Under: Permutations and Combinations
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6 15955