AIEEE Questions

Q:

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

A) 80 degrees B) 60 degrees
C) 120 degrees D) 40 degrees
 
Answer & Explanation Answer: B) 60 degrees

Explanation:

Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.

Hence the second largest angle of the triangle is 60 degrees.

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12 8685
Q:

What comes down but never goes up?

Answer

Rain is what only comes down but never goes up.

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10 8680
Q:

Chromite : Chromium : : Ilmenite :?

A) Cobalt B) Titanium
C) Limestone D) Manganese
 
Answer & Explanation Answer: B) Titanium

Explanation:

Chromite is a mineral of chromium and ilmenite is a mineral of titanium

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Filed Under: Analogy
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17 8678
Q:

Avanthi’s age is 1/6th of her father’s age. Her father’s age will be twice of Kapil’s age after 10 years. If Kapil’s eighth birthday was celebrated two years ago, then what is Avanthi’s present age ?

A) 6 years B) 4 years
C) 7 years D) None
 
Answer & Explanation Answer: D) None

Explanation:

As given Kapil's 8th birthday was celebrated 2 years ago,

Kapil’s present age = 8 + 2 = 10 years.

Father's age is twice of Kapil’s age after 10 years.
=> F + 10 = 2 (K + 10) = 2 (10+ 10)
F = 30years,

Avanthi's age =1/6(F) = 30/6 = 5 years.

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Filed Under: Problems on Ages
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10 8678
Q:

Please enter the Missing number: 4 8 14 22 ?

A) 28 B) 32
C) 46 D) 36
 
Answer & Explanation Answer: B) 32

Explanation:

Here the given series follows a pattern that,

2- 0 = 4  

3- 1 = 8  

4- 2 = 14

5- 3 = 22

6- 4 = 32

Hence, the missing number is 32

 

 

Method 2 ::

The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time)

Hence, 22 + 10 = 32 is the missing number.

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8 8672
Q:

20 men went to a restaurant. Ninteen of them paid Rs.70 each and the twentieth man paid Rs.90.25 more than the average of all the 20 men. What is the total bill ?

A) Rs. 1495 B) Rs. 548
C) Rs. 850 D) Rs. 1750
 
Answer & Explanation Answer: A) Rs. 1495

Explanation:

Let the average bill paid by twenty members = 'x'

But 19 men paid each = Rs. 70

20th man paid Rs. 90.25 more than the avg bill of 20 = x + 90.25

20x = 19(70) + x + 90.25
19x = 1330 + 90.25
19x = 1420.25
x = 1420.25/19 = Rs. 74.75

But the total bill = 20 x 74.75 = Rs. 1495.

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10 8668
Q:

Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?

A) E = 15 & Y = 3 B) E = 14 & Y = 12
C) E = 40 & Y = 22 D) E = 4 & Y = 2
 
Answer & Explanation Answer: D) E = 4 & Y = 2

Explanation:

Let the the age of the elder boy = E

 

Let the the age of the younger boy = Y

 

Given that Y = cube root of EY

 


=> Y3 = EY => E = Y2 .....(1)
By the condition of number replacement the age of the father is YE

 

The Mother's age = EY/2

 

But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)

 

Then now from the given options we can identify which satisfies the all the conditions.

 

Here Y =2 and E = 4 satisfies all the conditions.

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Filed Under: Problems on Ages
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8 8665
Q:

The correct order of events during meiosis is

A) prophase I, metaphase I, anaphase I, telophase I, cytokinesis, meiosis II. B) anaphase I, telophase I, prophase I, cytokinesis, meiosis II.
C) cytokinesis, metaphase I, anaphase I, telophase I, D) telophase I, prophase I, cytokinesis, meiosis II, anaphase
 
Answer & Explanation Answer: A) prophase I, metaphase I, anaphase I, telophase I, cytokinesis, meiosis II.

Explanation:

The correct order of events during meiosis is:

prophase I,

metaphase I,

anaphase I,

telophase I,

cytokinesis, and

meiosis II.

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Filed Under: Biology
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3 8662