Aptitude and Reasoning Questions

Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8 B) 2
C) 6 D) 4
 
Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)2 - (2x + 1)2

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

45 22315
Q:

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A) 48 B) 24
C) 38 D) 36
 
Answer & Explanation Answer: B) 24

Explanation:

Less Cogs  more turns and less time  less turns

 

    Cogs  Time  TurnsA  54       45       80B   32       8          ?

Number of turns required=80 × 54/32 × 8/45  = 24 times

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Filed Under: Problems on Trains

57 22284
Q:

A,B and C enter into a partnership in the ratio  72:43:65. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

A) Rs. 4000 B) Rs. 6000
C) Rs. 9000 D) Rs. 3000
 
Answer & Explanation Answer: A) Rs. 4000

Explanation:

Given ratio of initial investments = 72:43:65 = 105 : 40 : 36.

 Let the initial investments be 105x, 40x and 36x.

 

A:B:C = 105x×4 + 150100×105x×8 : 40x×12 : 36x×12  

               = 1680x : 480x : 432x = 35 : 10 : 9.

 

Hence, B's share = 21600×1054 = Rs. 4000.

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

18 22280
Q:

Select the option that will come next in the following figure series.

 

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

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

0 22260
Q:

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400  m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min B) 60 m^3/min
C) 72 m^3/min D) None of these
 
Answer & Explanation Answer: A) 50 m^3/min

Explanation:

Let the filling capacity of the pump be x m3/min. 

Then, emptying capacity of the pump=(x+10)m3/min.  

so,2400x-2400x+10=8 x2+10x-3000=0 

 

x-50+x+60=0 x=50

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

38 22241
Q:

Read the following question and decide which of the given statements is/are sufficient.

 

If X is a natural number, is X+6 odd?

 

Statements :

 

1. X - 15 is a whole number.

2. X - 6 is an odd number.

 

A) 2 alone is sufficient while 1 alone is not sufficient to answer the question B) Both 1 and 2 together are sufficient to answer the question
C) Either 1 or 2 is sufficient to answer the question D) 1 alone is sufficient while 2 alone is not sufficient to answer the question
 
Answer & Explanation Answer: A) 2 alone is sufficient while 1 alone is not sufficient to answer the question

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 22214
Q:

Arrange the following words as per the order in a ditionary.

1. Drum
2. Drubbing
3. Drunken
4. Drudgery
5. Duster

A) 3, 1, 5, 4, 2 B) 2, 4, 1, 3, 5
C) 1, 3, 4, 5, 2 D) 2, 1, 4, 3, 5
 
Answer & Explanation Answer: B) 2, 4, 1, 3, 5

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

0 22198
Q:

From the given words, select the word which cannot be formed using the letters of the given word.

SMOTHERS

A) THOSE B) METRO
C) STORE D) TEARS
 
Answer & Explanation Answer: D) TEARS

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

1 22194