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Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2+b2+c23 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+c2=3M2=9M2 .

 

 

 

<=>a2+b2+c2+2ab+bc+ca=9M2

 

 

 

a2+b2+c2=9M2   ,(ab+bc+ca=0)     

 

 

 

Required mean =a2+b2+c23=9M23=3M2 .

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Q:

If 20% of a = b, then b% of 20 is the same as :

A) 4% of a B) 6% of a
C) 8% of a D) 10% of a
 
Answer & Explanation Answer: A) 4% of a

Explanation:

20% of a = b 

=> (20/100) * a = b 

 b% of 20 =(b/100) x 20 = [(20a/100)  / 100] x 20= 4a/100 = 4% of a.

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1282 147601
Q:

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer: C) 40

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

 

Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg

 

Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.

 

Fruit % in freshfruit = Fruit% in dryfruit 

 

Therefore, (32/100) x 100 = (80/100 ) x y 

 

we get, y = 40 kg.

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1169 94535
Q:

Which of the following is not a vector quantity?

A) speed B) velocity
C) torque D) displacement
 
Answer & Explanation Answer: A) speed

Explanation:

Which_of_the_following_is_not_a_vector_quantity1552385336.png image

A vector quantity is a quantity which has both magnitude and direction. Here in the given options, speed is a scalar quantity but not the vector quantity.

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241 33865
Q:

Which of the following is a scalar quantity

A) electric current B) electric field
C) Acceleration D) linear momentum
 
Answer & Explanation Answer: A) electric current

Explanation:

A Scalar quantity is a quantity that has only magnitude but no direction as like vector. 

Here in the given options, electric current is the only one which is scalar.

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21 9441
Q:

Gandhara school of art came into existence in

Gandhara_school_of_art_came_into_existence_in1541400001.jpg image

A) Hinayana sect B) Mahayana sect
C) Vaishanava sect D) Shaiva sect
 
Answer & Explanation Answer: B) Mahayana sect

Explanation:

The Gandhara school of art came into existence in Mahayana sect.

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82 29616
Q:

Who of the following was a contemporary of Gautama Buddha?

A) Bhadrabahu B) Chandragupta Maurya
C) Parsvanath D) Vardhaman Mahavira
 
Answer & Explanation Answer: D) Vardhaman Mahavira

Explanation:

Vardhamana Mahavira, also known as Mahavira, was the twenty-fourth tirthankara who revived Jainism.

 

Who_of_the_following_was_a_contemporary_of_Gautama_Buddha1558589020.jpg image

 

Both Mahavira and Gauthama Buddha are contemporary to each other as they propound their religions Jainism and Buddhism in India.

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101 37320
Q:

The word Aryan means

A) of good family B) Cultivator
C) Pastoral Society D) Brahmachari
 
Answer & Explanation Answer: A) of good family

Explanation:

Aryans_means1532504980.jpg image

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