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Q:

A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal. 

A) 31.8% B) 31%
C) 33.33% D) 29.85%
 
Answer & Explanation Answer: C) 33.33%

Explanation:

Now, take percentage of milk and applying mixture rule

25          100

       50

50            25  = 2 : 1

 

Hence required answer =  1/3 or 33.33%

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
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27 7474
Q:

For x∈N, x>1,  and  p=logxx+1, q=logx+1x+2 then which one of the following is correct?

A) p < q B) p = q
C) p > q D) can't be determined
 
Answer & Explanation Answer: C) p > q

Explanation:

kl>k+1l+1 for (k,l) > 0 and  k > l 

 

 

 

Let     k = x+1    and   l = x

 

 

 

Therefore, x+1x>(x+1)+1(x)+1

 

 

 

 (x + 1) > x

 

 

 

Therefore, log(x+1)log(x)>log(x+2)log(x+1)

 

 

 

⇒logxx+1 >logx+1x+2

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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33 7474
Q:

In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ? 

A) 15 kg B) 25 kg
C) 35 kg D) 45 kg
 
Answer & Explanation Answer: D) 45 kg

Explanation:

Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.
Let k be the quantity of third variety of oil in the final mixture.
Let the ratio of initial quantity of oils be 'y'
From given details,
4x + 5 = 5y ..... (1)
5x + 10 = 7y .....(2)
8x + k = 9y ......(3)

By solving (1) & (2), we get
x = 5 & y = 5

From (3) => k = 5

Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.

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Filed Under: Average
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13 7468
Q:

DRDO full form is

A) Delhi Research and Development Organisation B) Defence Research and Deployment
C) Delhi Rail Development Organisation D) Defence Research and Development Organisation
 
Answer & Explanation Answer: D) Defence Research and Development Organisation

Explanation:

DRDO stands for The Defence Research and Development Organisation.

 

The Defence Research and Development Organisation (DRDO) is an agency of the Republic of India, charged with the military's research and development, headquartered in New Delhi, India.

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Filed Under: General Awareness
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7 7463
Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm B) 115.395 sq cm
C) 104.214 sq cm D) 111.241 sq cm
 
Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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Filed Under: Area
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3 7463
Q:

The reactivity of an atom arises from 

A) the existence of unpaired electrons in the valence shell B) the energy differences between the electron shells
C) the sum of the potential energies of all the electron shells D) the average distance of the outermost electron shell from the nucleus
 
Answer & Explanation Answer: A) the existence of unpaired electrons in the valence shell

Explanation:

When atoms react they do so in order to reach the lowest energy, which is the most stable. The electrons orbitals will overlap in the way that reduces the energy the most. Orbitals of similar energy will produce the greatest stabilisation.The answer you gave isn't the whole story, it depends what species is reacting with what. The effective nuclear charge on the atom will affect the energy of the valance electrons.

 

Hence, the reactivity of an atom arises from the existence of unpaired electrons in the valence shell.

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Filed Under: Chemistry
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4 7458
Q:

A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?

A) Rs. 3600 B) Rs. 3800
C) Rs. 3900 D) Rs. 3700
 
Answer & Explanation Answer: C) Rs. 3900

Explanation:

Area = (l + b – d) d

= (80 + 60 – 10)10

=> 1300 sq.mts

=> 1300 x 3 = Rs.3900

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Filed Under: Area
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4 7449
Q:

Who has been appointed as the new economic affairs secretary in the Union Finance Ministry  ?

A) N. K. Sinha B) Tapan Ray
C) Subhash C. Garg D) Kirti Singh
 
Answer & Explanation Answer: C) Subhash C. Garg

Explanation:

Subhash C. Garg, a 1983 batch lAS officer of Rajasthan cadre, has been appointed as the new the economic affairs secretary in the Union Finance Ministry. The post fell vacant after Shaktikanta Das retired on May 31, 2017. Currently, Tapan Ray, the corporate affairs secretary, has the additional charge of the economic affairs department. Prior to this appointment, Garg was Executive Director at World Bank for Bangladesh, Bhutan, India and Sri Lanka.

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Filed Under: Indian Politics
Exam Prep: AIEEE , Bank Exams , CAT
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10 7442