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Q:

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

A) 2/9 B) 1/9
C) 8/9 D) 7/9
 
Answer & Explanation Answer: B) 1/9

Explanation:

One person can select one house out of 3= 3C1 ways =3.

 

Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.

 

Therefore, probability that all thre apply for the same house is 1/9

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Filed Under: Probability

Q:

There are six persons A. B, C, D, E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. Who is the mother ?

A) A B) B
C) C D) E
 
Answer & Explanation Answer: D) E

Explanation:

D is father of A and grandfather of F. So, A is father of F. 

Thus. D and A are the two fathers. C is the sister of F So. C is the daughter of A. 

Since there is only one mother, it is evident that E is the wife of A and hence the mother of C and F. 

So, B is brother of A There are three brothers. So. F is the brother of C. 

 Clearly, A is E's Husband.

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Filed Under: Blood Relations

Q:

 I. A. B, C. D, E and F are six members of a family. 

 II. One couple has parents and their children in the family. 

 III. A is the son of C and E is the daughter of A. 

 IV. D is the daughter of F who is the mother of E. 

 Which of the following pairs is the parents of the couple ? 

A) AB B) BC
C) AF D) CF
 
Answer & Explanation Answer: B) BC

Explanation:

E is the daughter of A and F is the mother of E So, A is the father of E and hence the husband of F. Now,

D is the daughter of F So. D and E are the daughters of A and F Also. A is the son of C. 

Now, only B remains Thus. B and C are the parents of A. 

Clearly. B and C are the parents of the couple 

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Filed Under: Blood Relations

Q:

E is the son of A. D is the son of B. E is married to C. C is B's daughter. How is D related to E ?

A) Brother B) Uncle
C) Father-in-Law D) Brother-in-law
 
Answer & Explanation Answer: D) Brother-in-law

Explanation:

C is D's daughter and D is B's son. So, D is the brother of C. E is a male married to C. 

So, E is the husband of C, whose brother is D. So, D is the brother-in-law of E. 

 

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Filed Under: Blood Relations

Q:

Find the area of a square, one of whose diagonals is 3.8 m long.

A) 4.22 sq.m B) 5.22 sq.m
C) 6.22 sq.m D) 7.22 sq.m
 
Answer & Explanation Answer: D) 7.22 sq.m

Explanation:

Area of the square = 12×diagonal2=  1/2 * 3.8 * 3.8 = 7.22 sq.m

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 1/5 B) 1/7
C) 1/6 D) 1/9
 
Answer & Explanation Answer: C) 1/6

Explanation:

Out of 9 persons,4 can be choosen in 9C4 ways =126.

 

Favourable events for given condition = 2C2*7C2= 21.

 

So,required probability = 21/126 =1/6.

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Filed Under: Probability

Q:

A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

A) 13/42 B) 17/42
C) 5/42 D) 3/14
 
Answer & Explanation Answer: B) 17/42

Explanation:

3 letters can be choosen out of 9 letters in 9C3 ways.

 

More than one vowels ( 2 vowels + 1 consonant  or  3 vowels ) can be choosen in (4C2*5C1)+4C3 ways

 

Hence,required probability = 4C2*5C1+4C39C3 = 17/42

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Filed Under: Probability

Q:

Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 9/29 B) 10/21
C) 12/21 D) 14/19
 
Answer & Explanation Answer: B) 10/21

Explanation:

4 persons can be selected from 9 in 9C4 ways =126

 

Fvaourable events =4C2*5C2 =60

 

So,required probability = 60/126 = 10/21

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Filed Under: Probability