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Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Which of the following is a pair of females ?

A) AE	B) BD
C) DF	D) AD

Answer & Explanation Answer: D) AD

Explanation:

B is the son of C but C is not the mother of B means C is the father of B A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C.

Clearly, the females are only the mother A and the daughter D

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Filed Under: Blood Relations

Q:

P is the brother of Q and R. S is R's mother. T is P's father. Which of the following statements cannot be definitely true ?

A) T is Q's father	B) S is P's mother
C) P is S's son	D) Q is T's son

Answer & Explanation Answer: D) Q is T's son

Explanation:

P, Q, R are children of same parents. So. S who is R's mother and T, who is R's father will be mother and father of all three.

However, it is not mentioned whether Q is male or female So, D cannot be definitely true.

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Filed Under: Blood Relations

Q:

A is father of X ; B is mother of Y. The sister of X and Z is Y. Which of the following statements is definitely not true ?

A) B is the mother of Z.	B) X is the sister of Z
C) Y is the son of N.	D) B is the wife of A.

Answer & Explanation Answer: C) Y is the son of N.

Explanation:

A is the father of X and Y is the sister of X. So. Y is the daughter of A.

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Filed Under: Blood Relations

Q:

If the city bus which runs between Ramnagar and Sant colony is extended to vasant vihar,it will be convenient . Appeal of residents of ramnagar to city bus company

Assumptions:

1. The convenience of city bus company is much more important than the needs of consumers

2. The city bus company is indifferent to the aspirations of the residents of Sant colony

A) Only 1 is true	B) Only 2 is true
C) Neither 1 nor 2 is true	D) Both 1 and 2 follow

Answer & Explanation Answer: C) Neither 1 nor 2 is true

Explanation:

Clearly the city bus company is intended to provide bus services according to the needs as per local residents and not as per their own convenience.So 1 is not true.In the same way 2 is not true

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

A) 126	B) 120
C) 146	D) 156

Answer & Explanation Answer: A) 126

Explanation:

There are 8 students and the maximum capacity of the cars together is 9.

We may divide the 8 students as follows

Case I: 5 students in the first car and 3 in the second
Case II: 4 students in the first car and 4 in the second

Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.

Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.

Therefore, the total number of ways in which 8 students can travel is:
$8 C_{3} + 8 C_{4}$ =56 + 70= 126

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Filed Under: Permutations and Combinations

Q:

Compute the sum of 4 digit numbers which can be formed with the four digits 1,3,5,7, if each digit is used only once in each arrangement.

A) 105555	B) 106665
C) 106656	D) 108333

Answer & Explanation Answer: C) 106656

Explanation:

The number of arrangements of 4 different digits taken 4 at a time is given by $4 P_{4}$ = 4! = 24.All the four digits will occur equal number of times at each of the position,namely ones,tens,hundreds,thousands.

Thus,each digit will occur 24/4 = 6 times in each of the position.The sum of digits in one's position will be 6 x (1+3+5+7) = 96.Similar is the case in ten's,hundred's and thousand's places.

Therefore,the sum will be 96 + 96 x 10 + 96 x 100 + 96 x 100 = 106656

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Filed Under: Permutations and Combinations

Q:

First,second and third prizes are to be awarded at an engineering fair in which 13 exhibits have been entered.In how many different ways can the prizes be awarded?

A) 1736	B) 1716
C) 1216	D) 1346

Answer & Explanation Answer: B) 1716

Explanation:

$13 P_{3}$ = 13!/10! = 1716

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Filed Under: Permutations and Combinations

Q:

Which among the following keys are used to identify each row of the table uniquely?

A) Primary key	B) Unique key
C) Partial key	D) None of the above

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