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

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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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Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856 B) 3969
C) 480 D) None of these
 
Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = 26-1  

 

Similarly we can select atleast one item from other set of 6 different items in 26-1 ways. 

 

Required number of ways = (26-1)26-1 = 26-12 = 3969

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Filed Under: Permutations and Combinations
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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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Q:

Indolence is related to Work in the same way as Taciturn is related to

A) Observe B) Speak
C) Cheat D) Act
 
Answer & Explanation Answer: B) Speak

Explanation:

"The words in each pair are antonyms of each other". Here "opposite Relationship" exists. The Word Indolence and the word work are opposite to each other. Similarly the opposite of the word Taciturn is speak.

Indolence - Meaning of this word is 'Laziness'

Taciturn - Meaning of this word is ' Saying very little' , not communicating a lot.

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Filed Under: Analogy

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Q:

The average of marks in 3 subjects is 224. The first subject marks is twice the second and the second subject marks is twice the third. Find the second subject marks ?

A) 384 B) 96
C) 192 D) 206
 
Answer & Explanation Answer: C) 192

Explanation:

Let the third subject marks be 'x'
=> Second subject marks = 2x
=> Third subject marks = 4x
Given avg = 224
x + 2x + 4x = 224 x 3
=> 7x = 224 x 3
=> x = 96
Hence, Second subject marks = 2x = 2 x 96 = 192.

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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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Q:

In a certain code MADHYA PRADESH is written as MDYAHA PAEHRDS and  SRI LANKA is written as SRI LNAAK. How is TAMIL NADU written in that code?

A) TLMIA NDAU B) TMLAI NDAU
C) TMLIA NDAU D) TMLAI NADU
 
Answer & Explanation Answer: B) TMLAI NDAU

Explanation:

Letters at the odd places of the word are written first and these letters are followed by letters at even places.

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Filed Under: Coding and Decoding

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