Aptitude and Reasoning Questions

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 7614
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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1 7610
Q:

If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123 B) 253
C) 321 D) 231
 
Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions =n+r-1 Cr-1 = C223 = 253 

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Filed Under: Permutations and Combinations
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4 7605
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 7605
Q:

In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ? 

A) 15 kg B) 25 kg
C) 35 kg D) 45 kg
 
Answer & Explanation Answer: D) 45 kg

Explanation:

Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.
Let k be the quantity of third variety of oil in the final mixture.
Let the ratio of initial quantity of oils be 'y'
From given details,
4x + 5 = 5y ..... (1)
5x + 10 = 7y .....(2)
8x + k = 9y ......(3)

By solving (1) & (2), we get
x = 5 & y = 5

From (3) => k = 5

Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.

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Filed Under: Average
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13 7597
Q:

Wood : Ghacoad :: Coal : ?

A) Fire B) Smoke
C) Coke D) Ash
 
Answer & Explanation Answer: C) Coke

Explanation:

Second is obtained from the first.

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Filed Under: Analogy
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17 7597
Q:

How many pairs of letters are there in the word 'SEQUENTIAL' which have as many letters between them as are in the alphabet ? 

A) Four B) One
C) Two D) Three
 
Answer & Explanation Answer: A) Four

Explanation:

Letters in the word                          Letters in the alphabet

SEQ                                                      SRQ

QUEN                                                  QPON

SEQUEN                                               SRQPO

ENTIA                                                  EDCBA 

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Filed Under: Alphabet Test

10 7594
Q:

16 women can do a piece of work in 10 days while 15 men can do the same work in 12 days. All men and all women work alternately starting with all men, then find the time taken by them to complete the whole work?

A) 10 5/2 days B) 11 days
C) 11 2/5 days D) 12 1/2 days
 
Answer & Explanation Answer: A) 10 5/2 days

Explanation:

Let efficiency of every man and every woman be 'm' unit/day and 'w' unit/day respectively

15×12×m = 10×16×w

⇒ m/w = 8/9

Total work = 15 × 12 × 9 = 1620 units

In 2 days, total work done = 15 x 9 + 16 x 8 = 263 units

So, in 10 days work done will be = 263 × 5 = 1315 units

Remaining work will be done in = (1620-1315)/(15×8) = 5/2 days

Total days = 10 5/2 days.

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Filed Under: Time and Work
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27 7592