AIEEE Questions and Answers with Explanation

Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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Filed Under: Square Roots and Cube Roots
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Q:

Who is the first women chief minister in India ?

A) Sheila Dikshit	B) Nandini Satpathy
C) Uma Bharati	D) Sucheta Kriplani

Answer & Explanation Answer: D) Sucheta Kriplani

Explanation:

Sucheta Kriplani was an Indian freedom fighter and politician. She was India's first woman Chief Minister, serving as the head of the Uttar Pradesh government from 1963 to 1967.

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Filed Under: Famous Personalities
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Q:

Express 3/8 and 1/10 as a Decimals?

A) 1.375 & 1	B) 0.375 & 1
C) 13.75 & 1.1	D) 0.375 & 0.1

Answer & Explanation Answer: D) 0.375 & 0.1

Explanation:

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> $\frac{3 x 125}{8 x 125} = \frac{375}{1000} = 0.375$

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

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Filed Under: Decimal Fractions
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Q:

Who gave the slogan Inquilab Zindabad?

A) Hasrat Mohani	B) Ashfaqulla Khan
C) Bhagat Singh	D) Chandrashekhar Azad

Answer & Explanation Answer: A) Hasrat Mohani

Explanation:

Inquilab Zindabad means "Long live the revolution!". The slogan Inquilab Zindabad was given by Hasrat Mohani.

who_gave_the_slogan_inquilab_zindabad1556950189.png image

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Filed Under: Indian History
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Q:

Which of the following is not a prime number?

A) 5	B) 11
C) 21	D) 37

Answer & Explanation Answer: C) 21

Explanation:

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

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Filed Under: Numbers
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Q:

In a plant cell, DNA may be found in

A) only in the nucleus and mitochondria.	B) only in the nucleus and chloroplasts
C) in the nucleus, mitochondria, and chloroplasts.	D) only in the nucleus.

Answer & Explanation Answer: C) in the nucleus, mitochondria, and chloroplasts.

Explanation:

All of the genetic information in a cell was initially thought to be confined to the DNA in the chromosomes of the cell nucleus.

It is now known that small circular chromosomes, called extranuclear, or cytoplasmic, DNA, are located in two types of organelles found in the cytoplasm of the cell.

These organelles are the mitochondria in animal and plant cells and the chloroplasts in plant cells.

Chloroplast DNA (cpDNA) contains genes that are involved with aspects of photosynthesis and with components of the special protein-synthesizing apparatus that is active within the organelle.

Mitochondrial DNA (mtDNA) contains some of the genes that participate in the conversion of the energy of chemical bonds into the energy currency of the cell—a chemical called adenosine triphosphate (ATP)—as well as genes for mitochondrial protein synthesis.

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Filed Under: General Science
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Q:

Which of the following sports is most popular worldwide?

A) Football	B) Hockey
C) Cricket	D) Tennis

Answer & Explanation Answer: A) Football

Explanation:

Top five most popular games world wide are :

Game name - Estimated fans - Popular Regions

1. Soccer / Football - 3.5 Billion - Europe, Africa, Asia, America

2. Cricket - 2.5 Billion - Asia, Australia, UK

3. Basketball - 2.2 Billion - US, Canada, China and Philippines

4. Field Hockey - 2 Billion - Europe, Africa, Asia, Australia

5. Tennis - 1 Billion - Europe, Americas, and Asia.

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Q:

Read the following information carefully and answer the question below. Seven Students – A, B, C, D, E, F and G like different Pens viz, Reynolds, Cello, Parker, Rotomac, Flair, Linc and Eilcos but not necessarily in the same order. They also study in three different standards viz. 9th, 10th and 12th. Not more than three and not less than two students study in the same class. A do not likes cello pen. Persons who like cello and Flair pens, study in the same class. G studies in 10th standard but he does not likes flair pen. B studies with only one student, who likes linc pens. B does not studies with G. E likes Rotomac but he do not study in class 9. D studies in class 9 but he does not like line pen. A does not study in class 12. F does not like linc pen. The one likes Parker pen, studies in class 10. The one, who likes Reynolds pen, studies in same class with one who likes Flair pen. D likes neither Flair pen nor cello pen.

1. Who likes Parker Pen ?

(1) F (2) G (3) H (4) None

2. Three of the following four are similar in a certain way. Find the odd one ?

(1) BE (2) AD (3) EG (4) DF

3. Which three student study in the same class ?

(1) ADE (2) DFG (3) ADF (4) AEG

4. C likes which pen ?

(1) Reynolds (2) Flair (3) Cello (4) Linc

Answer

download21486193578.png image

1. Answer (2) G

2. Answer (1) BE All other pairs are in same class.

3. Answer (3) ADF in class 9.

4. Answer (4) Linc pen.

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Subject: Deriving Conclusions From Passages Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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