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Q:

If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

A) 6 B) 8
C) 4 D) 9
 
Answer & Explanation Answer: C) 4

Explanation:

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

= H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

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Filed Under: HCF and LCM
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17 8351
Q:

The degree of dissociation (α) of a weak electrolyte, AxBy is related to van't Hoff factor (i) by the expression:

1. α=x+y+1i-1

2.α=x+y-1i-1

3. α=i-1x+y+1

4. α=i-1x+y-1

A) 1 is correct B) 2 is correct
C) 3 is correct D) 4 is correct
 
Answer & Explanation Answer: D) 4 is correct

Explanation:

Van't Hoff factor (i) = Observed Colligative PropertyNormal Colligative Property

 

AxBy1-αxA+yxα+yB-xyα  

 

Total Moles = 1-α+xα+yα = 1-αx+y-1

 

i=1+αx+y-11

 

α=i-1x+y-1

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Filed Under: Chemistry
Exam Prep: AIEEE

6 8342
Q:

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.


Under the weather

 

A) Become a bit unpredictable like the weather. B) Slightly unwell or in low spirits.
C)  Feel optimistic simply because the weather is good. D)  Feel depressed because you expect bad weather.
 
Answer & Explanation Answer: B) Slightly unwell or in low spirits.

Explanation:
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Filed Under: English
Exam Prep: Bank Exams

52 8342
Q:

Find the errors in the below given A, B, C & D sentences.

 Former prime minister ruled himself out(A)/as an alternative rightwing candidate for his party colleague (B)/

whose campaign has been thrown into chaos(C)/by a fake jobs scandal(D)

A) A & C B) B & D
C) A & D D) C & B
 
Answer & Explanation Answer: C) A & D

Explanation:

A) As prime minister is an honorable person it must start with an Article 'The'. 

D) a fake jobs => a indicates it is singular, so job will come.

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13 8337
Q:

Firm : Flabby :: Piquant : ?

A) Pleasant B) Bland
C) Small D) Salty
 
Answer & Explanation Answer: B) Bland

Explanation:

The words in each pair are antonyms of each other.

 

Hence, Firm : Flabby :: Piquant : Bland.

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Filed Under: Analogy
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8 8328
Q:

Porcupine : Rodent :: Mildew : ?

A) Insect B) Fungus
C) Pathogen D) Germ
 
Answer & Explanation Answer: B) Fungus

Explanation:

Porcupine is a rodent and mildew is a fungus.

Hence, Porcupine : Rodent :: Mildew : Fungus.

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Filed Under: Analogy
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14 8324
Q:

P, Q and R start simultaneously from A to B. P reaches B, turns back and meet Q at a distance of 11 km from B. Q reached B, turns back and meet R at a distance of 9 km from B. If the ratio of the speeds of P and R is 3:2, what is the distance between A and B ?

A) 99 B) 100
C) 89 D) 1
 
Answer & Explanation Answer: A) 99

Explanation:

Let, Distance between A and B = d

 

Distance travelled by P while it meets Q = d + 11

 

Distance travelled by Q while it meets P = d – 11

 

Distance travelled by Q while it meets R = d + 9

 

Distance travelled by R while it meets Q = d – 9

 

Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11

 

The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9

 

But given Ratio of speeds of P & R => P : R = 3 : 2

 SPSR = SPSQxSQSR = d+11d+9d-11d-9

 

=> d+11d+9d-11d-9 = 3/2

 

=>  d = 1, 99

 

=> d = 99 satisfies.

 

Therefore, Distance between A and B = 99

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Filed Under: Time and Distance
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16 8324
Q:

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

A) 75 litres B) 100 litres
C) 150 litres D) 120 litres
 
Answer & Explanation Answer: D) 120 litres

Explanation:

wine(left)wine(added) = 343169

 

It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)

  

Thus,  343x = 512x1 - 15k3

 

 343512 = 783 = 1 - 15k3

 

 1-15k=78=1-18

  

Thus the initial amount of wine was 120 liters.

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Filed Under: Alligation or Mixture
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29 8322