Aptitude and Reasoning Questions

Q:

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A) 54 B) 64
C) 63 D) 36
 
Answer & Explanation Answer: C) 63

Explanation:

Required number of ways = 7C5 × 3C2=63

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Q:

The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ?

A) 16% B) 20%
C) 84% D) 72%
 
Answer & Explanation Answer: B) 20%

Explanation:

Reduction in consumption
= P100+P X 100%
= 25100+25 X 100%
= 20%

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Filed Under: Percentage
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Q:

A watch which gains uniformly is 2 minutes low at noon on Tuesday and is 4 min 48 sec fast at 2 p.m. on the following Tuesday. When was it correct ?

A) 12 p.m. on Wednesday B) 2 p.m. on Thursday
C) 3 p.m. on Thursday D) 2 p.m. on Wednesday
 
Answer & Explanation Answer: B) 2 p.m. on Thursday

Explanation:

Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.
= 170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
Then, 2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

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Filed Under: Clocks
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Q:

In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ?

A) 63 B) 62
C) 64 D) 65
 
Answer & Explanation Answer: D) 65

Explanation:

Total strength of the class is given by

15 + 44 + 4 + 3 - 1 = 65

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Filed Under: Simplification
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9 4812
Q:

Synonym for the word : Bleak

A) bare B) lush
C) warm D) verdant
 
Answer & Explanation Answer: A) bare

Explanation:

Bleak means an area of land lacking vegetation and exposed to the elements like deserts.

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Filed Under: Analogy
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16 4811
Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A) 145 B) 165
C) 175 D) 135
 
Answer & Explanation Answer: C) 175

Explanation:

Given that,

 working days = 5

 working hours = 8

 A man get rupess per hour is Rs.2.40

 So in one day the man get total rupees is 2.40 x 8 = 19.2

 So in 5 days week the man get total rupees is 19.2 x 5 = 96

 So in 4 week the man get total rupees is 96 x 4 = 384

 So the man worked for = 160hours in 4 weeks

 

 But given that the man earned Rs.432

 

 Hence remaning money is (432-384 = 48)which is earn by doing overtime work

 


Overtime hours  = 48/3.20 = 15


So total worked hours is = 15 + 160 = 175.

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Filed Under: Time and Work
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4 4810
Q:

The value of log55log49log32 is :

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

Explanation:
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Filed Under: Logarithms

17 4810
Q:

If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 

A) 9! B) 9!/2
C) 10! D) 10!/2
 
Answer & Explanation Answer: D) 10!/2

Explanation:

As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

 

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

 

A2 can speak in 9 places the remaining 

 

 A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

 

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

 

When A2 speaks in second place, the number of ways they can speak is  8.8!.

 

When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

 

 

 

Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

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Filed Under: Permutations and Combinations
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