Aptitude and Reasoning Questions

Q:

A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained?

A) 1/5 B) 1/6
C) 1/7 D) 1/8
 
Answer & Explanation Answer: B) 1/6

Explanation:

Total work is given by L.C.M of 72, 48, 36

Total work = 144 units

Efficieny of A = 144/72 = 2 units/day

Efficieny of B = 144/48 = 3 units/day

Efficieny of C = 144/36 = 4 units/day

 

According to the given data,

2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100

3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54

p = 198/16.5

p = 12 days.

 

Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day

(C+D) in p days = (4 + 6) x 12 = 120 unit

Remained part of work = (144-120)/144 = 1/6.

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Q:

Find the perimeter of the rectangle or square with the given dimensions s = 3 cm

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

Explanation:

P=4s

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Q:

The following chart represents the number of students who passed the CAT exam or the XAT exam or the CET exam or None of these exams. (Assume that there are no students who passed more than one exam.)

             Number of students who qualified CAT/XAT/CET Exams

1.  Which year showed the best result in MBA entrance exams (in terms of percentage of students who cleared) ?

1. 2000               2. 2001               3. 2002               4. Cannot be determined

 

2. What was the percentage of students who succeeded in at least one of three exams in 2000 ?

1. 82.4%             2. 82.8%             3. 82.35%           4. 83.3%

 

3. What is the percentage increase in the number of students in 2002 over 2000 ?

1. 30%                 2. 17.64%           3. 117.6%           4. 85%

 

4. What is the percentage of students who cleared CAT in 2000 ?

1. 19.56%           2. 12.65%           3. 14.28%           4. 11.76%

 

Answer

1. ANSWER : 2  


Explanation -  Compare the respective pass percentage for three years : 2000, 2001 and 2002   


= (140 x 100)/170 < (150 x 100)/180 and (150 x 100)/180 > (160 x 100)/200


 = 82.35% < 83.33% and 83.33% > 80%


 


 


2. ANSWER : 3  


Explanation -  Total percentage of students who succeeded in at least one of three exams in 2000 = (140 x 100)/170= 82.35 %   


 


 


3. ANSWER : 2  


Explanation -  Total percentage increase in the number of students in 2002 over 2000 is = (30 x 100)/170 =17.64 %  


 


 


4. ANSWER : 4  


Explanation -  Total percentage of students who cleared CAT in 2000 =(20 x 100)/170 = 11.76 %

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Subject: Bar Charts

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Q:

Find the perimeter and area of a square that has a side of length 14 feet.

A) 176 B) 186
C) 196 D) 206
 
Answer & Explanation Answer: C) 196

Explanation:

Perimeter of a square p=4s ,where s=length of its side 

=> p=4(14)=56 feets 

 

Area  of a square A = s x s

=> A=196


The perimeter is 56 feet, and the area is 196 square feet.

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Q:

A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum  ?

A) Rs.8000 B) Rs.6500
C) Rs.7500 D) Rs.5000
 
Answer & Explanation Answer: C) Rs.7500

Explanation:

p=d×1002R2 

Where d is difference, r is rate of interest. 

=> (48 x 100 x 100) / 8 x 8 = Rs.7500

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Filed Under: Simple Interest
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Q:

You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do ?

A) Jump out quickly to avoid embarrassment. B) call the conductor, give him the money and get the ticket.
C) Hand the money to someone sitting nearby to give it to the conductor D) Give the money to the driver.
 
Answer & Explanation Answer: B) call the conductor, give him the money and get the ticket.

Explanation:
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126 7674
Q:

If it is possible to make a meaningful word from the second, the seventh, the ninth and the eleventh letters of the word ORGANISATION using each letter only once, then which will be the third letter of that word ? If no such word can be formed, your answer would be 'X' and if more than one such words can be formed, your answer would be 'M' ?

A) T B) R
C) M D) X
 
Answer & Explanation Answer: B) R

Explanation:

The second, seventh, ninth and eleventh letters of the word ORGANISATION are R, S, T and O respectively. Clearly, only one word can be formed using these letters,
which is SORT. The third letter in SORT is R.

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Filed Under: Alphabet Test
Exam Prep: Bank Exams , CAT
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11 7671
Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25 B) 3:25
C) 4:25 D) 6:25
 
Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

 

 

 

ratio of their areas = 12*2x2 :12*5x2 = 4:25

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