Aptitude and Reasoning Questions

Q:

A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?

A) 215/216 B) 1/216
C) 215/256 D) 1/52
 
Answer & Explanation Answer: A) 215/216

Explanation:

Probability of getting 6 at the top once =1/6

Probability of getting 6 at the top three times =1/6 x 1/6 x 1/6 =216

Probability of no getting 6 at he top any time = 1 - 1/216 = 215/216

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Filed Under: Probability

2 7308
Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1 B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀ D) ²²C₁₀ - 1
 
Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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Filed Under: Permutations and Combinations
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2 7300
Q:

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less does the restaurant make each day in cakes sales after the promotion?

A) Rs. 185 less B) Rs. 202 more
C) Rs. 175 more D) Rs. 168 less
 
Answer & Explanation Answer: D) Rs. 168 less

Explanation:

Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) -  (12 x 250) = - Rs.168.

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Filed Under: Percentage
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15 7296
Q:

A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ?

A) 12 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

1) Man's wife. = 1
2) Man's 4 son's wives. = 4
3) Man's daughter. = 1
4) 4 son's has each one daughter. = 4
Therefore, total number of female members in the family = 1+4+1+4 = 10.

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Filed Under: Logic
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11 7296
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

28 7294
Q:

A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ?

A) (1/2)^11 B) (9)(1/2)
C) (11C2)(1/2)^9 D) (1/2)
 
Answer & Explanation Answer: A) (1/2)^11

Explanation:

Probability of occurrence of an event, 

P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S)


⇒ Probability of getting head in one coin = ½, 

⇒ Probability of not getting head in one coin = 1- ½ = ½, 

Hence, 

All the 11 tosses are independent of each other.

∴ Required probability of getting only 2 times heads =122×129=1211

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Filed Under: Probability
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7 7291
Q:

Who is the immediate right of D?

A) M B) Q
C) B D) C
 
Answer & Explanation Answer: A) M

Explanation:

From the above arrangements, M is to the immediate right of D.

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66 7283
Q:

Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak ? 

A) Son B) Brother
C) Cousin D) Nephew
 
Answer & Explanation Answer: B) Brother

Explanation:

Father's wife — Mother;  Mother's daughter — Sister;  Sister's younger brother — My younger brother. 

So, the boy is Deepak's brother. 

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Filed Under: Blood Relations

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