Aptitude and Reasoning Questions

Q:

The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In which ratio the no. of oranges in first two baskets must be increased so that the new ratio   becomes 5 : 4 : 3?

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

Explanation:

Let,   B1 : B2 : B3 = 3x : 4x : 5x 

 

again  B1 : B2 : B3 = 5y : 4y : 3y

 

Since there is increase in no.of oranges in first two baskets only, it means the no. of oranges remains constant in the third basket

 

Therefore,   5x = 3y

 

Hence    3x : 4x : 5x   =>   9y5:12y5:15y5 = 9y:12y:15y

 

and       5y : 4y : 3y   =>   25x : 20x : 15x

 

Therfore, increment in first basket = 16

 

Increment in second basket = 8

 

Thus, required ratio = 16/8 = 2:1

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Filed Under: Ratios and Proportions

88 23939
Q:

Find the appropriate relation for quantity 1 and quantity 2 in the following question:

 

An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe.

Quantity 1: The time required by the first pipe?

Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

A) Quantity 1 > Quantity 2 B) Quantity 1 ≥ Quantity 2
C) Quantity 1 < Quantity 2 D) Quantity 1 ≤ Quantity 2
 
Answer & Explanation Answer: A) Quantity 1 > Quantity 2

Explanation:

Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴ 1x-9

⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,

Net part filled in 1 hour = 115+110+16
⇒ Net part filled in 1 hour = 4+6+1060
⇒Net part filled in 1 hour = 2060=13
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2

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2 23926
Q:

How many dots are there on the dice face opposite the one with three dots?

A) 2 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

Explanation:

From figures (i), (ii) and (iv), we conclude that 6, 4,1 and 2 dots appear adjacent to 3 dots. Clearly, there will be 5 dots on the face opposite the face with 3 dots.

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Filed Under: Cubes and Dice

285 23898
Q:

Which of the following terms follows the trend of the given list?

 

BBAAAAA, ABBAAAA, AABBAAA, AAABBAA, AAAABBA, _______________.

 

A) BBAAAAA   B) AABBAAA  
C) AAAAABB   D) ABBAAAA
 
Answer & Explanation Answer: C) AAAAABB  

Explanation:
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Filed Under: Alphabet Test
Exam Prep: Bank Exams

2 23886
Q:

How many triangles are there in the given figure?

 

A) 14 B) 15
C) 17 D) 18
 
Answer & Explanation Answer: C) 17

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

3 23879
Q:

Choose the correct figure to fill in the blank space.

     Problem Figure

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

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

0 23861
Q:

Teeth is to hen as nest is to

A) Gums B) Lips
C) Mare D) Mouth
 
Answer & Explanation Answer: C) Mare

Explanation:

The answer is 'mare' because a "mare’s nest" doesn't exist just like "hen's teeth" don't exist.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

8 23850
Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interst. The rate per annum 

A) 5% B) 5.5%
C) 6% D) 6.5%
 
Answer & Explanation Answer: B) 5.5%

Explanation:

sum = x. amount =7x/6.

S.I. =(7x/6 – x) = x/6 ; time = 3 years

Rate =[ (100 * x) / (x * 6 * 3)]% = 5.5%

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19 23848