AIEEE Questions

Q:

In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?

A) 2/9 B) 5/9
C) 4/9 D) 0
 
Answer & Explanation Answer: C) 4/9

Explanation:

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2

= 1/6 + 5/18

= 4/9.

 

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Filed Under: Probability
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Q:

The Marine Corps philosophy of leadership is based upon developing individual Marine.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

The belief that leadership qualities can be developed within the individual Marine, and that leaders have the responsibility for developing those qualities is the Marine Corps philosophy of leadership.


 


The United States Marine Corps, also referred to as the United States Marines, is a branch of the United States Armed Forces responsible for conducting amphibious operations with the United States Navy.

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Subject: World History
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1 5142
Q:

World Suicide Prevention Day (WSPD) is observed every year on _______ 

A) 1 September B) 7 September
C) 9 September D) 10 September
 
Answer & Explanation Answer: D) 10 September

Explanation:

World Suicide Prevention Day (WSPD) is an awareness day celebrated on 10 September every year, keeping in mind the end goal to give overall commitment and action to anticipate suicides, with various activities around the world since 2003.

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Filed Under: Important Days and Years
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12 5140
Q:

The Simon commission visited India in the year?

A) 1933 B) 1939
C) 1921 D) 1927
 
Answer & Explanation Answer: D) 1927

Explanation:

The British government appointed a commission under the chairmanship of Sir John Simon to report on India's constitutional progress for introducing constitutional reforms as had been promised in 1927.

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Filed Under: Indian History
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5 5138
Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Filed Under: Arithmetical Reasoning
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8 5138
Q:

What is the next letter in the given series
M N J Q G ?

A) U B) S
C) T D) H
 
Answer & Explanation Answer: C) T

Explanation:

1ST SERIES = M J G... It decreasing by 3 alphabets.
2ND SERIES = N Q... It increasing by 3 alphabets.

M N J Q G T...

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Filed Under: Alphabet Test
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Q:

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

A) 100 B) 70
C) 120 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)

Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.

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Filed Under: Arithmetical Reasoning
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3 5136
Q:

Mathematics : Numbers :: History : ?

A) Wars B) People
C) Events D) Dates
 
Answer & Explanation Answer: C) Events

Explanation:

Mathematics is the theory of numbers and history is the theory of past events.

Hence Mathematics : Numbers :: History : Events.

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Filed Under: Analogy
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