Aptitude and Reasoning Questions

Q:

Relation Between Efficiency and Time

A is twice as good a workman as B and is therefore able to finish a piece of work in 30 days less than B.In how many days they can complee the whole work; working together?

Answer

Ratio of times taken by A and B = 1 : 2.


The time difference is (2 - 1) 1 day while B take 2 days and A takes 1 day.


If difference of time is 1 day, B takes 2 days.


If difference of time is 30 days, B takes 2 x 30 = 60 days.


So, A takes 30 days to do the work.


 


A's 1 day's work = 1/30


B's 1 day's work = 1/60


(A + B)'s 1 day's work = 1/30 + 1/60 = 1/20


A and B together can do the work in 20 days.

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Subject: Time and Work

253 64875
Q:

A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

A) 10 B) 12
C) 15 D) 18
 
Answer & Explanation Answer: A) 10

Explanation:

Let the quantity of alcohol and water be 4x litres and 3x litres respectively

 

4x/(3x+5) = 4/5 

 

20x = 4(3x+5)

 

8x = 20

 

x = 2.5

 

Quantity of alcohol = (4 x 2.5) litres = 10 litres.

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Filed Under: Ratios and Proportions

341 64609
Q:

Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?

A) 100/11 min past 8 B) 120/11 min past 8
C) 90/11 min past 8 D) 80/11 min past 8
 
Answer & Explanation Answer: B) 120/11 min past 8

Explanation:

In this type of problems the formulae is 5x-30×1211
x is replaced by the first interval of given time Here i.e 8
5*8-30*1211
12011min

Therefore the hands will be in the same straight line but not
together at 12011 min.past 8.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

102 64591
Q:

What will come in place of the question mark (?) in the following number series  ?

12, 24, 26.5, 79.5, ?, 330

A) 211 B) 101.5
C) 82.5 D) 99
 
Answer & Explanation Answer: C) 82.5

Explanation:

The given series 

 

12   24   26.5   79.5   ?   330 follows a pattern that,

 

12 x 2 = 24

 

24 + 2.5 = 26.5

 

26.5 x 3 = 79.5

 

79.5 + 3 = 82.5

 

82.5 x 4 = 330

 

Hence, the missing number is 82.5

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

9 64586
Q:

405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: A) 9

Explanation:

Let the total number of children be x. 

Then, x * (20% of x) = 405  

=> x * 20x/100 = 405 

15x2 = 405 

 

=> x=45 

 

Number of sweets received by each child = 20% of 45 = 9.

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Filed Under: Percentage

294 64579
Q:

In the following number series only one number is wrong. Find out the wrong number ?

6, 15, 35, 63, 143, 221, 323

A) 143 B) 63
C) 323 D) 35
 
Answer & Explanation Answer: B) 63

Explanation:

Here the series follows the pattern that, product of succesive prime numbers i.e,

 2 × 3 = 6

 3 × 5 = 15

 5 × 7 = 35

 7 × 11 = 77

 11 × 13 = 143

 13 × 17 = 221

 17 × 19 = 323

So here in place of 77 the number 63 is written.

So the wrong number is 63.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

7 64420
Q:

If P means '÷', Q means '+', R means '-' and S means 'x', then the value of

10 R 192 P 48 S 48 P 96 Q 1

 

A) 10 B) 9
C) 8 D) 7
 
Answer & Explanation Answer: B) 9

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

7 64415
Q:

Lethargic : Vital :: Trite : ?

A) Unique B) Slug
C) Lazy D) Skinny
 
Answer & Explanation Answer: A) Unique

Explanation:

Lethargic means "sluggish", kind of inactive

Vital means full of energy, lively

So, they are antonyms.

So, for the 2nd part of the analogy, you are looking for a antonym to trite

Trite means lacking originality or freshness. Overused. Kind of like a cliche

So, an antonym could be original, unique, innovative.

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

117 64386