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Q:

One lady has 2 children, one of her child is boy, what is the probability of having both are boys ?

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

Explanation:

In a family with 2 children there are four possibilities:
1) the first child is a boy and the second child is a boy (bb)
2) the first child is a boy and the second child is a girl (bg)
3) the first child is a girl and the second child is a boy (gb)
4) the first child is a girl and the second child is a girl (gg)

But already given that one child is boy. So we have three possibilities of (bb)(bg)(gb).
n(E)= both are boys=BB=1
n(S)= 3
Required probability P = n(E)/n(S) = 1/3.

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Filed Under: Probability
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Q:

a) In a family of 6 persons, there are two couples. b) The lawyer is the head of the family and has only two sons- Suresh and Rajesh- both teachers. c) Mrs. Veena and her mother-in-law both are lawyers. d) Suresh's wife is a Doctor and they have a son, Ankith.

1) What is the profession of Rajesh's wife ?


2) What is Ankith's grandfather's occupation ?

Answer

Answer: 1) Rajesh's wife is Mrs. Veena and she is a lawyer.


Answer: 2) The family doesn't have Ankith's grandfather.


So, we can't determine.

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Subject: Logic Exam Prep: GRE , TOEFL
Job Role: Bank Clerk

Q:

Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?

A) 125 B) 155
C) 135 D) 165
 
Answer & Explanation Answer: D) 165

Explanation:

Ratio C1:C2 = 3:5 and C2:C3 = 7:11
So C1:C2:C3 = 21 : 35 : 55
Let the strength of three classes are 21x, 35x and 55x respectively, then
Given that 21x + 35x + 55x = 333
=> 111x = 333 or x=3
So strength of the class with highest number of students =55x = 55x3 = 165.

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Filed Under: Ratios and Proportions
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Q:

Each of the following series of statements is followed by four sets. Identify the set that is logically consistent.
(a) The gap between the average starting salaries of teachers and those of other professionals has shrunk in recent years.
(b) The average age of first year teachers is same as it was in 1975.
(c) Starting teachers are no longer underpaid.
(d) The extent of a persons formal education is a measure by which to determine his level of salary.
(e) Over the last few years, the average starting salaries of other professionals have increased by 20%

A) e,b,d B) e,d,b
C) a,c,b D) a,e,c
 
Answer & Explanation Answer: D) a,e,c

Explanation:

The statements  a,e,c  are logically sequenced.

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Filed Under: Theme Detection
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Q:

A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?

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

Explanation:

Let us assume S as number of shirts and T as number of trousers
Given that each trouser cost = Rs.70 and that of shirt = Rs.30
Therefore, 70 T + 30 S = 810
=> 7T + 3S = 81......(1)
T = ( 81 - 3S )/7

We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of T
Simplifying by taking 3 as common factor i.e, 3(27-S) / 7
In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7

Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9

Hence for S, put T in eq(1), we get
S = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.
The ratio of T:S = 9:6 = 3:2.

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Filed Under: Ratios and Proportions
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Q:

Statement: The Chairman stressed the need for making education system more flexible and regretted that the curriculum has not been revised in keeping with the pace of the changes taking place.
Course of action:
a. Curriculum should be reviewed and revised periodically.
b. System of education should be made more flexible.

A) Only a follows B) Only b follows
C) Both a & b follows D) Neither a nor b follows
 
Answer & Explanation Answer: C) Both a & b follows

Explanation:

Clearly, the situation demands making the education system more flexible and changing it periodically according to the needs of the time. So, both the courses follow.

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Filed Under: Statement and Courses of Action
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Q:

Statement: There has been a significant drop in the water level of all the lakes supplying water to the city.
Courses of action:
I. The water supply authority should impose a partial cut in supply to tackle the situation.
II. The government should appeal to all the residents though mass media for minimal use of water.

A) Only I follows B) Only II follows
C) Both I & II follows D) Neither I nor II follows
 
Answer & Explanation Answer: C) Both I & II follows

Explanation:

The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.

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Filed Under: Statement and Courses of Action
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Q:

A man has only 20-paise and 25-paise coins in a bag. If he has 50 coins in all totaling to Rs.10.25, then the number of 20-paise coins is 

A) 42 B) 45
C) 38 D) 36
 
Answer & Explanation Answer: B) 45

Explanation:

Let number of 20 ps coins = x and

number of 25 ps coins = y

Given total coins in the bag = 50

x + y = 50.......(1)

But the total money in the bag = Rs. 10.25

0.20x + 0.25y = 10.25

20x + 25y = 1025.........(2)

Now multiplying (1) by 25 we get

25x+25y=1250.............(3)

By solving (2) and (3)

20x + 25y = 1025;

=> x = 45;

Then, the no. of 20 ps coins are 45.

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Filed Under: Simplification
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