Q.1 In a row of twenty students, R is fifth from the right
end and T is fourth from the left end. How many students are there between R
and T in the row?

(1) 11

(2) 12

(3) 10

(4) Cannot be determined

(5) None of these

(1) 11

(2) 12

(3) 10

(4) Cannot be determined

(5) None of these

Q.2 The positions of how many digits in the number 5321648
will remain unchanged after the digits are rearranged in ascending order within
the number ?

(1) None

(2) One

(3) Two

(4) Three

(5) More than three

(1) None

(2) One

(3) Two

(4) Three

(5) More than three

Q. 3 The positions of the first and the fifth digits in the
number ’83241957′ are interchanged.

Similarly the positions of the second and the sixth digits are inter-changed and so on. Which of the following will be the third from the right end after the rearrangement?

(1) 1

(2) 2

(3) 9

(4) 3

(5) None of these

Similarly the positions of the second and the sixth digits are inter-changed and so on. Which of the following will be the third from the right end after the rearrangement?

(1) 1

(2) 2

(3) 9

(4) 3

(5) None of these

Q.4 Pointing to a girl, Subodh said “She is the daughter of
my mother’s only brother”. How is Subodh related to the girl?

(1) Cousin brother

(2) Maternal uncle

(3) Brother

(4) Data inadequate

(5) None of these

(1) Cousin brother

(2) Maternal uncle

(3) Brother

(4) Data inadequate

(5) None of these

Q. 5 In a certain code ‘SAGE’ is written as ‘4169’ and
‘PERT’ is written as ‘7928’. How is STEP written in that code?

(1) 4897

(2) 4987

(3) 4197

(4) 4387

(5) None of these

(1) 4897

(2) 4987

(3) 4197

(4) 4387

(5) None of these

Q. 6. A man had three daughters. Another man asked him the
ages of his daughter. He told that the product of their ages is 36. Second man was confused and asked for another clue. First man told him that the
sum of their ages is equal to his house number. Second man did some calculations and was still confused. He asked for another
clue. First man told him that his youngest daughter had blue eyes. On hearing
this, second man immediately gave the correct Answer.

QUESTION : What are the ages of his daughter ?

QUESTION : What are the ages of his daughter ?

**Answers with explanations:**

1. Answer: (!) Number of students between R and T = 20 – (4
+ 5) = 11

2. Answer: (@) 5 3 2 1 6 4 8 1 2 3 4 5 6 8

3. Answer: (4) New number 1 9 5 7 8 3 2 4

4. Answer: (4) Subodh’s mother’s only brother means maternal
uncle of Subodh.

Therefore, the girl is cousin sister of Subodh. The sex of Subodh cannot be ascertained from the facts given in the question. Therfore, Subodh is either cousin brother or sister of that girl.

Therefore, the girl is cousin sister of Subodh. The sex of Subodh cannot be ascertained from the facts given in the question. Therfore, Subodh is either cousin brother or sister of that girl.

5. Answer: (1) S-4 A-1 G-6 E-9 P-7 E-9 R-2 T-8

Therefore, S-4 T-8 E-9 P-7

Therefore, S-4 T-8 E-9 P-7

6. Answer:-

Ages:1,6,6

Explanation:-

To begin with, there is a small logical assumption that all the ages are integers.

Further to this, it is given that the product of the daughters’ ages is 36. This gives the man just 8 possibilities:

AGE 1 AGE 2 AGE 3 SUM OF AGES

1 1 36 38

1 2 18 21

1 3 12 16

1 4 9 14

1 6 6 13

2 2 9 13

2 3 6 11

3 3 4 10

The correct solution has to exist within this range possibilities because the man could guess the same.

Calculation of the sum of their ages (the rightmost column) shows the only possible instances of the house no. If the sum were 38, 21, 16, 14, 11, or 10, he would have been able to guess the ages immediately. He was not able to do so only because the number of the house and the sum of the ages was 13! (This is because, even after this hint the solution was not unquely deducible…!!) Because of this, he did not have a unique solution until the man informed her about his youngest daughter.

It becomes clear that there is no ambiguity at this “youngest”position and that not two of them are tied at this position ( in case the ages would have been 9,2, and 2) . This is possible only if Kiran’s daughters are 1, 6, and 6 years old.

With similar arguments, assuming no tie at the eldest position the correct set of ages would be 9, 2, 2.

Ages:1,6,6

Explanation:-

To begin with, there is a small logical assumption that all the ages are integers.

Further to this, it is given that the product of the daughters’ ages is 36. This gives the man just 8 possibilities:

AGE 1 AGE 2 AGE 3 SUM OF AGES

1 1 36 38

1 2 18 21

1 3 12 16

1 4 9 14

1 6 6 13

2 2 9 13

2 3 6 11

3 3 4 10

The correct solution has to exist within this range possibilities because the man could guess the same.

Calculation of the sum of their ages (the rightmost column) shows the only possible instances of the house no. If the sum were 38, 21, 16, 14, 11, or 10, he would have been able to guess the ages immediately. He was not able to do so only because the number of the house and the sum of the ages was 13! (This is because, even after this hint the solution was not unquely deducible…!!) Because of this, he did not have a unique solution until the man informed her about his youngest daughter.

It becomes clear that there is no ambiguity at this “youngest”position and that not two of them are tied at this position ( in case the ages would have been 9,2, and 2) . This is possible only if Kiran’s daughters are 1, 6, and 6 years old.

With similar arguments, assuming no tie at the eldest position the correct set of ages would be 9, 2, 2.

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