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Q:

Two dice are rolled simultaneously. Find the probability of getting a total of 9.

A) 1/3 B) 1/9
C) 8/9 D) 9/10
 
Answer & Explanation Answer: B) 1/9

Explanation:

S = { (1, 1), (1, 2), (1, 3), (1, 4),(1, 5), (1, 6), (2, 1), (2, 2),.........(6, 5), (6, 6) }

=> n(S) = 6 x 6 = 36

E = {(6, 3), (5, 4), (4, 5), (3, 6) }

=> n(E) = 4

Therefore, P(E) = 4/36 = 1/9

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Filed Under: Probability

Q:

An unbiased die is rolled. Find the probability of getting a multiple of 3?

A) 1/6 B) 1/3
C) 5/6 D) None of these
 
Answer & Explanation Answer: B) 1/3

Explanation:

S = { 1, 2, 3, 4, 5, 6 } 

=> n(S) = 6

E = { 3, 6}

=> n(E) = 2

Therefore, P(E) = 2/6 =1/3

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Filed Under: Probability

Q:

Three fair coins are tossed simultaneously. Find the probability of getting more heads than the number of tails

A) 2 B) 7/8
C) 5/8 D) 1/2
 
Answer & Explanation Answer: D) 1/2

Explanation:

S = { HHH, HHT, HTH, HTT, THH, THT, TTH, TTT }

=> n(S) = 8

E = { HHH, HHT, HTH, THH }

=> n(E) = 4

P(E) = 4/8 = 1/2

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Filed Under: Probability

Q:

In How many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?

A) 131 B) 191
C) 68 D) 3720
 
Answer & Explanation Answer: B) 191

Explanation:

Out of 15 fruits, 7 are alike of one kind, 5 are alike of a second kind and 3 are alike of a third kind.

Hence, the required number of ways = [ (7+1) (5+1) (3+1) -1] =191

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Filed Under: Permutations and Combinations

Q:

In a G - 20 meeting there were total 20 people representing their own country. All the representative sat around a circular table. Find the number of ways in which we can arrange them around a circular table so that there is exactly one person between two representatives namely Manmohan and Musharraf.

A) 2 x (17!) B) 2 x (18!)
C) (3!) x (18!) D) (17!)
 
Answer & Explanation Answer: B) 2 x (18!)

Explanation:

A person can be chosen out of 18 people in 18 ways to be seated between Musharraf and Manmohan. Now consider Musharraf, Manmohan, and the third person, sitting between them, as a single personality, we can arrange them in 17! ways but Musharraf and Manmohan can also be arranged in 2 ways. 

 

Required number of permutations = 18 x (17!) x 2 = 2 x 18!

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Filed Under: Permutations and Combinations
Exam Prep: GATE , Bank Exams , AIEEE
Job Role: Bank PO , Analyst

Q:

How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4?

A) 120 B) 360
C) 240 D) 424
 
Answer & Explanation Answer: B) 360

Explanation:

There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.

 

 Number of 7 digit numbers = 7!3!×2! = 420

 

But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.

 

=6!3!×2! = 60

 

Hence the required number of 7 digits numbers = 420 - 60 = 360

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

Q:

Arrange the given words in a meaningful sequence.

1. Adult     2. Child    3. Infant     4. Boy    5. Adolescent

A) 1, 3, 4, 5, 2 B) 2, 3, 5, 4, 1
C) 2, 3, 4, 1, 5 D) 3, 2, 4, 5, 1
 
Answer & Explanation Answer: D) 3, 2, 4, 5, 1

Explanation:

The Correct Sequence is:

Infant    Child    Boy    Adolescent    Adult

     3            2           4              5                1

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Filed Under: Logical Sequence of Words

Q:

Arrange the given words in a meaningful sequence.

1. Rainbow     2. Rain     3. Sun     4. Happy     5. Child

A) 4, 2, 3, 5, 1 B) 2, 3, 1, 5, 4
C) 4, 5, 1, 2, 3 D) 2, 1, 4, 5, 3
 
Answer & Explanation Answer: B) 2, 3, 1, 5, 4

Explanation:

The Correct Sequence is:

Rain    Sun    Rainbow    Child    Happy

   2          3           1                5           4

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Filed Under: Logical Sequence of Words