Aptitude and Reasoning Questions

Q:

M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?

A) 4 B) 5
C) 3 D) 6
 
Answer & Explanation Answer: B) 5

Explanation:

Let M, N and O worked together for x days.

From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day

But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days

The total work can be the LCM of 18, 6, 54 = 108 units

M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units

Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.

Hence, all M,N and O together worked for 5 days.

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Filed Under: Time and Work
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3 5303
Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48 B) 52
C) 38 D) 42
 
Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

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Filed Under: Time and Distance
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3 5302
Q:

Evaluate : 3.392-2.6123.39-2.69?

A) 3 B) 4
C) 6 D) 1
 
Answer & Explanation Answer: C) 6

Explanation:

 

It is in the form of a2-b2a-b = a+ba-ba-b = a+b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

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Filed Under: Decimal Fractions
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6 5300
Q:

Mohan was married 5 years ago. At present his age is 6/5 times of his age at the time of marriage. His wife is 3 year younger to him. Find his wife’s present age?

A) 21 yrs B) 24 yrs
C) 27 yrs D) 30 yrs
 
Answer & Explanation Answer: C) 27 yrs

Explanation:

Let Mohan present age = p

ATQ,

5/6 x p = p - 5

p = 30

His wifes age = 30 - 3 = 27 yrs.

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Filed Under: Problems on Ages
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14 5294
Q:

AF : CH :: KT : ?

A) MU B) LU
C) LV D) MV
 
Answer & Explanation Answer: D) MV

Explanation:

As,

 A+2C

 F+2H

 

Similarly,

 

 K+2MT+2V

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Filed Under: Analogy
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7 5292
Q:

28?+1426=34 of 2872

A) 576 B) 676
C) 1296 D) 1444
 
Answer & Explanation Answer: B) 676

Explanation:

Let 28x+1426=3×718

 

Then 28x=2154-1426 

 

28x=728 x=26

 

x=676

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9 5292
Q:

A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls.How many councils can have Jason on the council?

A) 715 B) 725
C) 419 D) 341
 
Answer & Explanation Answer: A) 715

Explanation:

If Jason is on th ecouncil,this reduces the selction pool to only 13 people,out of which we still need to select 4.

 

So, 13C4 = 715

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1 5290
Q:

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

A) 105 B) 101
C) 98 D) 109
 
Answer & Explanation Answer: A) 105

Explanation:

Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

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Filed Under: Percentage
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10 5288