AIEEE Questions

Q:

In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm)

A) 80% B) 70%
C) 75% D) 62%
 
Answer & Explanation Answer: A) 80%

Explanation:

Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.

 

After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.

 

So % of water = 100 x 60/75 = 80%.

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Filed Under: Alligation or Mixture
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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40 27047
Q:

A boy can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is ?

A) 1.8 kmph B) 2 kmph
C) 2.2 kmph D) 1.5 kmph
 
Answer & Explanation Answer: D) 1.5 kmph

Explanation:

Speed of Boy is B = 4.5 kmph

Let the speed of the stream is S = x kmph

Then speed in Down Stream = 4.5 + x

speed in Up Stream = 4.5 - x

As the distance is same,

=> 4.5 + x = (4.5 - x)2

=> 4.5 + x = 9 -2x

3x = 4.5

x = 1.5 kmph

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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47 26893
Q:

In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4  of the men are married and 2/3  of the married men have children, what part of the workers are without children?

A) 5/18 B) 4/9
C) 11/18 D) 17/36
 
Answer & Explanation Answer: C) 11/18

Explanation:

Let the total number of workers be x. Then, 

 

Number of women = x/3 and number of men = x - x/3  = 2x/3

 

Number of women having children = x/18

 

Number of men having children = x/3

 

Number of workers having children = (x/18) + (x/3) = 7x/18

  

Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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64 26867
Q:

Horse : Jockey :: Car : ?

A) Chauffeur B) Steering
C) Mechanic D) Brake
 
Answer & Explanation Answer: A) Chauffeur

Explanation:

A horse is driven by a jockey.

 

Similarly, a car is driven by a chauffeur.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT
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128 26863
Q:

Tract of land used for raising crops or livestock.

A) A field B) A farm
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

A tract of land used for raising crops or livestockcan be called a field or a farm.

 

a_tract_of_land_used_for_raising_crops_or_livestock1559215948.jpg image

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49 26696
Q:

If the first half of the English alphabet is reversed and then next portion of English alphabet is reversed so as 'A' takes the portion of 'M' and 'N' takes the portion of 'z' then which letter will be 6th to the left of 17th letter to the right of 7th leter from the left?

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

Explanation:

6th to the left of 17th letter to the right of 7th letter from the left = 6th to the left of (17+7 =) 24th letter from the left = (24-6 =) 18th letter from the left.

 

Thus, we have to count from the left and we have to find out 18th letter from the left that falls into the second section of English alphabet.

 

Here, both the first half and the second half of the English alphabet have been reversed and we have to count from the left end, then the required letter can be found out using the formula given below. Suppose , the first and the second reversed sections of the English alphabet are α and  βrespectively.Then,

 

  The required letter = 2α+β+1-(required position of letter from left side)

 

Therefore, The required letter = 26 + 13 + 1 - 18 = 22 = V

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Filed Under: Alphabet Test
Exam Prep: AIEEE , Bank Exams , CAT
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161 26572
Q:

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Answer

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Q:

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year  ?

A) 21:29 B) 41:54
C) 32:45 D) 37:51
 
Answer & Explanation Answer: C) 32:45

Explanation:

             A              :               B
(8000x4)+(4000x8) : (9000x6)+(6000x6)
         64000           :      90000
=>        32 : 45

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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28 26473