Answers Week 9

Logical 14 - Quantitative Reasoning:

A man would like to take a new health insurance. An officer taking care of these matters says to the man, “Please tell me how many children you have.” The man answers, “I have three of them.” The officer, “What are the ages of your children?” The man answers, “The product of the ages is equal to 36.” The officer replies, “This is not enough information Sir!”; the man replied, “Sorry that I was a little bit unclear, but the sum of the ages is equal to the number of shops in front of your office.” The officer: “This still isn’t enough information Sir!”; The man replies, “My oldest child loves chocolate.” The officer: “Thanks for your cooperation, I now know the ages.” Are you as smart as the officer? Then give the sum of the ages of the children.

a. 13 

b. 22

c. 36

d. 38

The product of the ages is 36. Using this one can make the following combination of ages:

1, 36, 1 sum = 38

1, 18, 2 sum = 22

1, 12, 3 sum = 16

1, 9, 4 sum = 14

1, 6, 6 sum = 13

2, 9, 2 sum = 13

2, 6, 3 sum = 11

3, 3, 4 sum = 10

After the man had said that the product of the ages is equal to 36, the officer didn’t have enough information. Then he was told that the sum is equal to number of shops in front of the office. He replied by saying that this still isn’t enough information. So the sum of the ages should be 13, because otherwise he would have known the ages immediately. The last statement is that that the oldest child loves chocolate. So there is an oldest child. Hence the officer concludes that the ages of the children are 2, 2 and 9 years.

Hence option (3) is the correct answer.

Quants 17 - Percentage

Ram sells his goods 25% cheaper than Shyam and 25% dearer than Bram. How much percentage is Bram’s goods cheaper than Shyam’s?

Assume Ram as 100. Shyam will be 133.33 and Bram will be 80

Thus, Bram’s goods are 40% cheaper than Shyam’s (53.33/133.33)


Quants 18 - Profit and Loss
A cellular phone when sold for ` 4600 fetches a profit of 15%. Find the cost price of the cellular phone.

Selling Price = 4600
Profit = 15%
Cost Price = ?
1.15 × CP = 4600
CP = 4600 / 1.15 = 4000.


Logical 18 - Puzzle Test
There are six persons - A, B, C, D, E and F in a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D's optional subject was History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A's subjects but in terms of compulsory and optional subjects, they are just reverse of those of D's. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. 

1. What is C's compulsory subject?
a) History   b) Physics   c) Chemistry   d) English   e) Mathematics

2. Who is the female member in the group?
a) A     b) B     c) C     d) D     e) E

3. Which of the following has same compulsory and optional subjects as those of F's?
a) D     b) B     c) A     d) C     e) None of these

4. Disregarding which is the compulsory and which is optional subject, who has the same two subject combination as F?
a) A     b) B     c) E     d) D     e) None of these

5. Which of the following groups has History as the compulsory subject?
a) A, C, D    b) B, C, D    c) C, D    d) A, B, C    e) A, D


The given information can be analyzed as follows:

	A	B	C	D	E	F
Compulsory	History	History	History	English	Physics	Mathematics
Optional	English	Chemistry	Mathematics	History	Mathematics	Physics

F's Compulsory subject is Mathematics. F has Physics as one of the subjects. So, Physics is the Optional subject of F.

E has Mathematics as optional and Physics as one subject. So, Physics is the compulsory subject of E. 

A and D have the same subjects - History and English. D has History as Optional Subject and so, English is the compulsory subject of D. Subjects of A and D are reverse in regard of optional and compulsory. So, A has History as compulsory and English as optional. 

Chemistry is the optional subject of only one teacher. So, it is the optional subject of B, which only remains. We know that History is the compulsory subject of three teachers. So, it is compulsory for A, B and C.

D is the teacher having English as her compulsory subject. So, D is the only female teacher.

1. C's compulsory subject is History. So, the answer is (a).

2. D is the only female teacher. So, the answer is (d).

3. E has same subjects as those of F but the compulsory and optional subjects of E are reverse as thos of F. So, the answer is (e).

4. Clearly, E has the same subject combination as that of F. So, the answer is (e).

5. A, B and C has History as their compulsory subjects. So, the answer is (d).