Aptitude and Reasoning Questions

Q:

In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 

A) 20 B) 160
C) 164 D) 220
 
Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.

 

If all these 8 points are different we get 8C3 triangles as they are collinear.

 

In 12C3 triangles, we do not get 8C3 triangles

 

Therefore, The number of triangles we get = 12C3-8C3 = 164

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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Q:

12% of 70,000 is

A) 8400 B) 7200
C) 6000 D) 5600
 
Answer & Explanation Answer: A) 8400

Explanation:

12% of 70,000

=> 12 x 70,000/100

=> 8400

 

Hence, 12% of 70,000 = 8,400

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Q:

Relation Between Efficiencies

6 boys and 8 girls finish a job in 6 days and 14 boys and 10 girls finish the same job in 4 days. In how many days working together 1 boy and 1 girl can finish the work?

Answer

Sol : In this kind of questions we find the work force required to complete the work in 1 day (or given unit of time) then we equate the work force to find the relationship between the efficiencies (or work rate) between the different workers.


 


Therefore, 6B+8G = 6 days


 => 6(6B+8G)= 1 day  (inversely proportional)


 => 36B+48G =1         ( by unitary method)


 


Again  14B+10G = 4days


 => 56B+40G =1


 


so, here it is clear that either we employ 36B and 48G to finish the work in 1 day or 56B and 40G to finish the same job in 1 day. thus , we can say


 => 36B+48G = 56B+40G


 => G= 2.5B


Thus a Girl is 2.5 times as efficient as a boy.


 


Now, since  36B+48G = 1


 => 36B+48(2.5 B)=1


 =>156B=1


i.e., to finish the job in 1 day 156 boys are required or the amount of work is 156 boys-days


 


Again    1G+1B=2.5B+1B=3.5B


 


Now, since 156 boys can finish the job in 1 day


so 1 boy can finish the job in 156 days


Therefore, 3.5 boys can finish the job in 1×1563.5= 47 days.


 


 

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Subject: Time and Work

2 4070
Q:

If there are 17 randomly placed dots on a circle,how many lines can you form using any 2 dots?

A) 126 B) 130
C) 136 D) 120
 
Answer & Explanation Answer: C) 136

Explanation:

17C2 = 136 (combination)

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Q:

Select the option that fits in the blank space in the given Problem Figure.

1.

2.

3.

4.

 

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

Explanation:
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Filed Under: Pattern Completion
Exam Prep: Bank Exams

1 4069
Q:

The percentage of metals in a mine of zinc ore is 60%. Now the percentage of silver is 3/4% of metals and the rest is zinc. If the mass of ore extracted from the mine is 8000 kg, the mass (in kg) of zinc is

A) 5147 kg B) 4764 kg
C) 3587 kg D) 2125 kg
 
Answer & Explanation Answer: B) 4764 kg

Explanation:

Mass of zinc ore = 8000 kg


Mass of metal = 60% of 8000 = 4800 kg


Mass of silver in metal = 3/4 x 4800/100 = 36 kg


Mass of zinc = 4800 - 36 = 4764 kg.

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Filed Under: Percentage
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Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec B) 47 sec
C) 33 sec D) None of these
 
Answer & Explanation Answer: C) 33 sec

Explanation:

B runs 35 m in 7 sec.

 

 B covers 200 m in (7/35*200) = 40sec

 

B's time over the course = 40 sec.

 

 A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

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Q:

Which phrase breaks the rule of parallel structure?

Answer

Parallel structure means using the same pattern of words to show that two or more ideas have the same level of importance and to help the reader comprehend what is being written.. This can happen at the word, phrase, or clause level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or."

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Subject: Alphabet Test Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO

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