Refer to the data below and answer the questions that follow.
There are 6 children, A, B, C, D, E, F. Their birthdays fall in January, February, March, June,July, December and on 1st, 9th, 16th, 20th, 30th, 19th not necessarily in the same order. 1. C’s birthday falls on the 19th of July. 2. A, B, F’s birthdays is not in February. 3. Two of the birthdays are on January 9th and February 20th. 4. B, F’s birthday does not fall in January. 5. A’s birthday is on the 9th. 6. B’s birthday is not an the 16th or 30th.
Q. No. 1:
If E’s birthday on February 20th, B’s in June, whose birthday is on March 16th?
Answer: D From statement 1, we know that C’s birthday is on 19th July From statements 2, 3, 4, 5, 6 we know that A’s birthday is on January 9th and B’s birthday is on the 1st of any of the given months.
Given, E’s birthday is on 20th February and B’s birthday is one June 1st, either D or F’s birthday is on March 16th.
Q. No. 2:
If D’s birthday is on June 16th, B’s birthday will be on:
Answer: A From statement 1, we know that C’s birthday is on 19th July
From statements 2, 3, 4, 5, 6 we know that A’s birthday is on January
9th and B’s birthday is on the 1st of any of the given months.
Given D’s birthday is on June 16th from data, B’s birthday has to be on the 1st Hence from options, its March 1st.
Q. No. 3:
If F’s birthday is not in December, and one of their birthdays is on June 1st, F’s birthday is on.
Answer: C From statement 1, we know that C’s birthday is on 19th July
From statements 2, 3, 4, 5, 6 we know that A’s birthday is on January
9th and B’s birthday is on the 1st of any of the given months.
Given, F’s birthday is not in December, and one of their birthdays is our June 1st, B’s birthday is on June 1st. Hence F’s birthday cannot be on 1st June but can be on March 30th.
Q. No. 4:
F’s birthday is on the 30th of December and if E’s birthday is not in March, then his birthday is on.
Answer: D From statement 1, we know that C’s birthday is on 19th July
From statements 2, 3, 4, 5, 6 we know that A’s birthday is on January
9th and B’s birthday is on the 1st of any of the given months.
From the data in the question, E’s birthday is on Febuary 20th
The question given below are based on the following information ::
Each of the six persons Samar (male), Shweta (female), Ryan (male), Rohan (male),Preeti (female) and Raju (male) bought a different car.The cars bought by them were Spark, Swift, A-star,i10, i20 and Fabia. Except for one person who was 22 years old and one person who was 28 years old all other four persons were 25 years. Each of the six persons have a different weight and their weights (in kgs) were 56 , 48 , 62 , 67, 72 and 75. The person who bought ‘Spark’ was of the same age as Preeti. The person who bought ‘A – star’ was not 25 years old. Ryan bought ‘i20’. Samar weighed less than Rohan. Raju as well as the female who bought ‘Swift’ were 25 years old. The female who bought ‘i10’ weighed more than 67 kgs. The person who weighs 72 kgs was 28 years old. The person who bought ‘Fabia’ was three years younger to the person who weighed 75 kgs. The youngest person weighed more than Shweta but less than exactly two males. Raju weighed more than Ryan.
Answer: D Given that except for one person who was 22 years old, all other persons
were either 25 years or 28 years old and there is only one person who
is 28 years old, therefore there are four persons who are 25 years
old. Also, the person who was 28 years old weighs 72
kgs. The person who bought ‘Fabia’ is 22 years old as he/she is
three years younger to the person who weighs 75
kgs. Therefore, the age of the person who weighs 75 kgs is
25. Since, the person who bought ‘Fabia’ is 22 years old,
therefore the person who bought ‘A – star’ is 28 years
old. Since, the two females have bought ‘i10’ and ‘Swift’,
therefore a male has bought ‘Fabia. Now, we know that a male
has bought ‘A – star’, is 28 years old and weighs 72
kgs. Since, it is given that a female who bought ‘i10’ weighs
more than 67 kgs, therefore the female who bought ‘i10’ weighs 75
kgs. Since, Samar weighs less than Rohan, therefore Rohan
bought ‘A – star’ and Samar bought ‘Fabia’. Since, the youngest
person weighs more than Shweta, therefore Preeti weighs 75
kgs. If we collect the whole information we can conclude the
following:
Person(Gender)
CAR
Age
Weight
Preeti(Female)
i-10
25
75
Samar(male)
fabia
22
Rohan(male)
A-star
28
72
Shweta(female)
swift
25
Raju(male)
spark
25
Ryan(male)
i-20
25
Since, the youngest person weighs more than Shweta but less
than exactly two males and also Raju weight more than Ryan, there are 2
cases that are possible
Answer: A Given that except for one person who was 22 years old, all other persons
were either 25 years or 28 years old and there is only one person who
is 28 years old, therefore there are four persons who are 25 years
old. Also, the person who was 28 years old weighs 72
kgs. The person who bought ‘Fabia’ is 22 years old as he/she is
three years younger to the person who weighs 75
kgs. Therefore, the age of the person who weighs 75 kgs is
25. Since, the person who bought ‘Fabia’ is 22 years old,
therefore the person who bought ‘A – star’ is 28 years
old. Since, the two females have bought ‘i10’ and ‘Swift’,
therefore a male has bought ‘Fabia. Now, we know that a male
has bought ‘A – star’, is 28 years old and weighs 72
kgs. Since, it is given that a female who bought ‘i10’ weighs
more than 67 kgs, therefore the female who bought ‘i10’ weighs 75
kgs. Since, Samar weighs less than Rohan, therefore Rohan
bought ‘A – star’ and Samar bought ‘Fabia’. Since, the youngest
person weighs more than Shweta, therefore Preeti weighs 75
kgs. If we collect the whole information we can conclude the
following:
Person(Gender)
CAR
Age
Weight
Preeti(Female)
i-10
25
75
Samar(male)
fabia
22
Rohan(male)
A-star
28
72
Shweta(female)
swift
25
Raju(male)
spark
25
Ryan(male)
i-20
25
Since, the youngest person weighs more than Shweta but less
than exactly two males and also Raju weight more than Ryan, there are 2
cases that are possible
Answer: C Given that except for one person who was 22 years old, all other persons
were either 25 years or 28 years old and there is only one person who
is 28 years old, therefore there are four persons who are 25 years
old. Also, the person who was 28 years old weighs 72
kgs. The person who bought ‘Fabia’ is 22 years old as he/she is
three years younger to the person who weighs 75
kgs. Therefore, the age of the person who weighs 75 kgs is
25. Since, the person who bought ‘Fabia’ is 22 years old,
therefore the person who bought ‘A – star’ is 28 years
old. Since, the two females have bought ‘i10’ and ‘Swift’,
therefore a male has bought ‘Fabia. Now, we know that a male
has bought ‘A – star’, is 28 years old and weighs 72
kgs. Since, it is given that a female who bought ‘i10’ weighs
more than 67 kgs, therefore the female who bought ‘i10’ weighs 75
kgs. Since, Samar weighs less than Rohan, therefore Rohan
bought ‘A – star’ and Samar bought ‘Fabia’. Since, the youngest
person weighs more than Shweta, therefore Preeti weighs 75
kgs. If we collect the whole information we can conclude the
following:
Person(Gender)
CAR
Age
Weight
Preeti(Female)
i-10
25
75
Samar(male)
fabia
22
Rohan(male)
A-star
28
72
Shweta(female)
swift
25
Raju(male)
spark
25
Ryan(male)
i-20
25
Since, the youngest person weighs more than Shweta but less
than exactly two males and also Raju weight more than Ryan, there are 2
cases that are possible
Answer: D Given that except for one person who was 22 years old, all other persons
were either 25 years or 28 years old and there is only one person who
is 28 years old, therefore there are four persons who are 25 years
old. Also, the person who was 28 years old weighs 72
kgs. The person who bought ‘Fabia’ is 22 years old as he/she is
three years younger to the person who weighs 75
kgs. Therefore, the age of the person who weighs 75 kgs is
25. Since, the person who bought ‘Fabia’ is 22 years old,
therefore the person who bought ‘A – star’ is 28 years
old. Since, the two females have bought ‘i10’ and ‘Swift’,
therefore a male has bought ‘Fabia. Now, we know that a male
has bought ‘A – star’, is 28 years old and weighs 72
kgs. Since, it is given that a female who bought ‘i10’ weighs
more than 67 kgs, therefore the female who bought ‘i10’ weighs 75
kgs. Since, Samar weighs less than Rohan, therefore Rohan
bought ‘A – star’ and Samar bought ‘Fabia’. Since, the youngest
person weighs more than Shweta, therefore Preeti weighs 75
kgs. If we collect the whole information we can conclude the
following:
Person(Gender)
CAR
Age
Weight
Preeti(Female)
i-10
25
75
Samar(male)
fabia
22
Rohan(male)
A-star
28
72
Shweta(female)
swift
25
Raju(male)
spark
25
Ryan(male)
i-20
25
Since, the youngest person weighs more than Shweta but less
than exactly two males and also Raju weight more than Ryan, there are 2
cases that are possible
Person
Weight
Weight
Samar
62
62
Shweta
56
48
Raju
67
67
Ryan
48
56
Q. No. 5:
Which of the following statements is possible?
A :
The person who bought ‘Spark’ was 22 years old and weighed 62 kgs.
B :
The person who bought ‘Swift’ was 25 years old and weighed 48 kgs.
C :
The person who bought ‘i20’ was 25 years old and weighed 75 kgs.
D :
The person who bought ‘Fabia’ was 22 years old and weighed 67 kgs.
Answer: B Given that except for one person who was 22 years old, all other persons
were either 25 years or 28 years old and there is only one person who
is 28 years old, therefore there are four persons who are 25 years
old. Also, the person who was 28 years old weighs 72
kgs. The person who bought ‘Fabia’ is 22 years old as he/she is
three years younger to the person who weighs 75
kgs. Therefore, the age of the person who weighs 75 kgs is
25. Since, the person who bought ‘Fabia’ is 22 years old,
therefore the person who bought ‘A – star’ is 28 years
old. Since, the two females have bought ‘i10’ and ‘Swift’,
therefore a male has bought ‘Fabia. Now, we know that a male
has bought ‘A – star’, is 28 years old and weighs 72
kgs. Since, it is given that a female who bought ‘i10’ weighs
more than 67 kgs, therefore the female who bought ‘i10’ weighs 75
kgs. Since, Samar weighs less than Rohan, therefore Rohan
bought ‘A – star’ and Samar bought ‘Fabia’. Since, the youngest
person weighs more than Shweta, therefore Preeti weighs 75
kgs. If we collect the whole information we can conclude the
following:
Person(Gender)
CAR
Age
Weight
Preeti(Female)
i-10
25
75
Samar(male)
fabia
22
Rohan(male)
A-star
28
72
Shweta(female)
swift
25
Raju(male)
spark
25
Ryan(male)
i-20
25
Since, the youngest person weighs more than Shweta but less
than exactly two males and also Raju weight more than Ryan, there are 2
cases that are possible
Person
Weight
Weight
Samar
62
62
Shweta
56
48
Raju
67
67
Ryan
48
56
The question given below are based on the following information ::
Four families namely the Sharma’s, the Khanna’s , the Sinha’s and the Ahuja’s are disguised differently as A, B, C and D not necessarily in that order. Each of the given families have exactly two children. Two out of the four families have a boy and a girl each, one family has two girls and the Ahuja’s have two boys. Jatin (boy) belongs to family A. Family B and the Sharma’s have at least one girl. Kamini (girl) does not belong to the Khanna’s. Rahul (boy) belongs to family C. Preeti (girl) and Akash (boy) do not belong to the same family. Amit (boy) does not have a sister. Jyoti(girl) belongs to one of the given families. Sarika (girl) does not belong to the Sinha’s and belongs to the same family as Kamini. The Sinha’s are not disguised as B. Rahul does not belong to the Ahuja’s.
Q. No. 1:
To which of the following families does Preeti belong?
Answer: D Given that the Ahuja’s have two boys and Amit does not have a sister,
which means that Amit belongs to the Ahuja’s. Given that the
family B and the Sharma’s have at least one girl and the Sinha’s are not
disguised as B, therefore the Khanna’s are disguised as
B. Also, Kamini belongs to either the Sinha’s or the Sharma’s.
Given that Sarika does not belong to the Sinha’s and belongs to the same
family as Kamini. So, both Sarika and Kamini belong to the Sharma’s.
Given that Rahul belongs to family C and Jatin belongs to family A,
therefore the Sharma’s are disguised as D. Since, Preeti and
Akash do not belong to the same family, therefore Jyoti belongs to
family B. Also, Amit belongs to either family A or
C. Therefore, Akash belongs to family B. Given that
Rahul does not belong to the Ahuja’s. So, Amit belongs to family A and
Preeti belongs to the Sinha’s and the Sinha’s are disguised as
C. The whole information is listed down in the table given
below.
Family name
Child 1
Child 2
A
Ahuja
Jatin(boy)
Amit(boy)
B
Khanna
Jyoti(girl)
Akash(boy)
C
Sinha
Rahul(boy)
Preeti(girl)
D
Sharma
Kamini(girl)
Sarita(girl)
Q. No. 2:
Jyoti’s sibling and the family to which she belongs were:
Answer: C Given that the Ahuja’s have two boys and Amit does not have a sister,
which means that Amit belongs to the Ahuja’s. Given that the
family B and the Sharma’s have at least one girl and the Sinha’s are not
disguised as B, therefore the Khanna’s are disguised as
B. Also, Kamini belongs to either the Sinha’s or the Sharma’s.
Given that Sarika does not belong to the Sinha’s and belongs to the same
family as Kamini. So, both Sarika and Kamini belong to the Sharma’s.
Given that Rahul belongs to family C and Jatin belongs to family A,
therefore the Sharma’s are disguised as D. Since, Preeti and
Akash do not belong to the same family, therefore Jyoti belongs to
family B. Also, Amit belongs to either family A or
C. Therefore, Akash belongs to family B. Given that
Rahul does not belong to the Ahuja’s. So, Amit belongs to family A and
Preeti belongs to the Sinha’s and the Sinha’s are disguised as
C. The whole information is listed down in the table given
below.
Family name
Child 1
Child 2
A
Ahuja
Jatin(boy)
Amit(boy)
B
Khanna
Jyoti(girl)
Akash(boy)
C
Sinha
Rahul(boy)
Preeti(girl)
D
Sharma
Kamini(girl)
Sarita(girl)
Q. No. 3:
Which of the following list of families are disguised as B, A, D and C in that order?
A :
the Ahuja’s, the Khanna’s, the Sinha’s and the Sharma’s
B :
the Sharma’s, the Sinha’s, the Khanna’s and the Ahuja’s
C :
the Sharma’s, the Ahuja’s, the Khanna’s and the Sinha’s
D :
the Khanna’s, the Ahuja’s, the Sharma’s and the Sinha’s.
Answer: D Given that the Ahuja’s have two boys and Amit does not have a sister,
which means that Amit belongs to the Ahuja’s. Given that the
family B and the Sharma’s have at least one girl and the Sinha’s are not
disguised as B, therefore the Khanna’s are disguised as
B. Also, Kamini belongs to either the Sinha’s or the Sharma’s.
Given that Sarika does not belong to the Sinha’s and belongs to the same
family as Kamini. So, both Sarika and Kamini belong to the Sharma’s.
Given that Rahul belongs to family C and Jatin belongs to family A,
therefore the Sharma’s are disguised as D. Since, Preeti and
Akash do not belong to the same family, therefore Jyoti belongs to
family B. Also, Amit belongs to either family A or
C. Therefore, Akash belongs to family B. Given that
Rahul does not belong to the Ahuja’s. So, Amit belongs to family A and
Preeti belongs to the Sinha’s and the Sinha’s are disguised as
C. The whole information is listed down in the table given
below.
Family name
Child 1
Child 2
A
Ahuja
Jatin(boy)
Amit(boy)
B
Khanna
Jyoti(girl)
Akash(boy)
C
Sinha
Rahul(boy)
Preeti(girl)
D
Sharma
Kamini(girl)
Sarita(girl)
Q. No. 4:
The pair which has the two children belonging to the same family is
Answer: B Given that the Ahuja’s have two boys and Amit does not have a sister,
which means that Amit belongs to the Ahuja’s. Given that the
family B and the Sharma’s have at least one girl and the Sinha’s are not
disguised as B, therefore the Khanna’s are disguised as
B. Also, Kamini belongs to either the Sinha’s or the Sharma’s.
Given that Sarika does not belong to the Sinha’s and belongs to the same
family as Kamini. So, both Sarika and Kamini belong to the Sharma’s.
Given that Rahul belongs to family C and Jatin belongs to family A,
therefore the Sharma’s are disguised as D. Since, Preeti and
Akash do not belong to the same family, therefore Jyoti belongs to
family B. Also, Amit belongs to either family A or
C. Therefore, Akash belongs to family B. Given that
Rahul does not belong to the Ahuja’s. So, Amit belongs to family A and
Preeti belongs to the Sinha’s and the Sinha’s are disguised as
C. The whole information is listed down in the table given
below.
Family name
Child 1
Child 2
A
Ahuja
Jatin(boy)
Amit(boy)
B
Khanna
Jyoti(girl)
Akash(boy)
C
Sinha
Rahul(boy)
Preeti(girl)
D
Sharma
Kamini(girl)
Sarita(girl)
The question given below are based on the following information ::
The number of pencils with Suresh, Somesh, Rajesh, Ramesh and Rakesh were 1, 2, 3, 4 and 5 not necessarily in the given order. The number of pencils with Rakesh were 1 less than that with Somesh. If the number of pencils with Suresh had been two more, then he would have had the same number of pencils as there were with Rajesh.
Q. No. 1:
If the number of pencils with Ramesh were three less than that with Somesh, then the number of pencils with Rakesh were
Answer: B Let the number of pencils with Suresh, Somesh, Rajesh, Ramesh and Rakesh be ‘a’, ‘b’, ‘c’, ‘d’ and ‘e’ respectively. So, e + 1 = b. Also, a + 2 = c. Given that d + 3 = b. So, d could be either 1 or 2. If d = 1, then b = 4 and e = 3. But then the equation a + 2 = c wont be possible. Therefore, d = 2. In this case b = 5, a = 1, c = 3 and e = 4.
Q. No. 2:
If the number of pencils with Rajesh were less than that with Rakesh, then which of the following statements is/are definitely false? Statement I: The number of pencils with Rajesh were more than that with Ramesh. Statement II: The number of pencils with Suresh were four less than that with Somesh. Statement III: The number of pencils with Ramesh were one more than with Suresh.
Answer: D Let the number of pencils with Suresh, Somesh, Rajesh, Ramesh and Rakesh be ‘a’, ‘b’, ‘c’, ‘d’ and ‘e’ respectively. So, e + 1 = b. Also, a + 2 = c. Given that c < e. Therefore, a + 2 < e Or, a + 2 < b – 1 Or, a < b – 3. Therefore, b has to be equal to 5. So, a < 2, which means that a = 1. So, c = 3, e = 4 and d = 2.
Q. No. 3:
Which of the following cannot be true?
A :
The number of pencils with Rajesh were one more than that with Ramesh.
B :
The number of pencils with Rakesh were 1.
C :
The number of pencils with Ramesh were four more than that with Suresh.
Answer: C Let the number of pencils with Suresh, Somesh, Rajesh, Ramesh and Rakesh be ‘a’, ‘b’, ‘c’, ‘d’ and ‘e’ respectively. So, e + 1 = b. Also, a + 2 = c. Option A: The number of pencils with Rajesh were one more than that with Ramesh. Or, c – d = 1. So, a = 3, c = 5, e = 1, b = 2 and d = 4. Hence, option A can be true. Option B: The number of pencils with Rakesh were 1. Or, e = 1 and b = 2. So, c = 5, a = 3 and d = 4. Hence, option B can be true. Option C: The number of pencils with Ramesh were four more than with Suresh. So, d = 5, a = 1 and c = 3. But then the equation e + 1 = b would not hold true. Hence, option C cannot be true. Option D: The number of pencils with Rakesh were 4. Or, e = 4 and b = 5. So, c = 3, a = 1 and d = 2. Hence, option D can be true.
The question given below are based on the following information ::
Four persons named Aditya, Ashish, Kriti and Ritika visited a luxury shopping mall in South Delhi to buy denims. The mall had several designer outlets, which were either national or international. Further, it is known that: 1. Each of these persons bought denims from 2 designer outlets, exactly one of which was national. 2. No two persons bought denims from the same designer outlet. 3. The number of denims bought by these four persons from any designer outlet were all different and prime. 4. The total number of denims bought by Ashish from a national designer outlet were less than that bought from an international designer outlet. This was true for the other three persons as well. 5. The total number of denims bought by Aditya, Ashish, Kriti and Ritika were 36, 25, 32 and 28 respectively.
Q. No. 1:
For which of the following persons, the number of denims bought from a national designer outlet by him/her can be exactly determined?
Answer: C Let us first write the numbers 36, 25, 32 and 28 as a sum of
two different prime numbers. 36 = (5 + 31) = (7 + 29) =
(13 + 23) = (17 + 19) 25 = (2 + 23) 32 = (3 + 29) =
(13 + 19) 28 = (5 + 23) = (11 + 17) Consider
information (3): We can conclude that the number of denims bought by
Ritika from the two outlets cannot be 5 and 23 as Ashish bought 2 denims
from one outlet and 23 from another. Also, the number of
denims bought by Aditya from the two outlets cannot be 13 and 23 as
Ashish bought 2 denims from one outlet and 23 from
another. Similarly, we can conclude that the number of denims
bought by Aditya from the two outlets cannot be (17 and 19) as Ritika
bought 11 denims from one outlet and 17 from
another. Therefore, the number of the denims bought by the
persons could be: Case
I:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
3
29
Ritika
11
17
Case II
:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
13
19
Ritika
11
17
Case III
:
National designer outlet
International designer outlet
Aditya
7
29
Ashish
2
23
Kriti
13
19
Ritika
11
17
Q. No. 2:
If the number of denims bought by Aditya from a national designer outlet were more than that bought by Kriti, then the number of denims bought by Aditya from a international designer outlet were
Answer: A Let us first write the numbers 36, 25, 32 and 28 as a sum of
two different prime numbers. 36 = (5 + 31) = (7 + 29) =
(13 + 23) = (17 + 19) 25 = (2 + 23) 32 = (3 + 29) =
(13 + 19) 28 = (5 + 23) = (11 + 17) Consider
information (3): We can conclude that the number of denims bought by
Ritika from the two outlets cannot be 5 and 23 as Ashish bought 2 denims
from one outlet and 23 from another. Also, the number of
denims bought by Aditya from the two outlets cannot be 13 and 23 as
Ashish bought 2 denims from one outlet and 23 from
another. Similarly, we can conclude that the number of denims
bought by Aditya from the two outlets cannot be (17 and 19) as Ritika
bought 11 denims from one outlet and 17 from
another. Therefore, the number of the denims bought by the
persons could be: Case
I:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
3
29
Ritika
11
17
Case II
:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
13
19
Ritika
11
17
Case III
:
National designer outlet
International designer outlet
Aditya
7
29
Ashish
2
23
Kriti
13
19
Ritika
11
17
Q. No. 3:
Which of the following cannot be false?
A :
The number of denims bought by Kriti from a national designer outlet were 13.
B :
The number of denims bought by Ritika from a national designer outlet were more than that bought by Kriti.
C :
The number of denims bought by Aditya from a national designer outlet were six less than that bought by Ritika
D :
The number of denims bought by Aditya from an international designer outlet were more than that bought by Kriti.
Answer: D Let us first write the numbers 36, 25, 32 and 28 as a sum of
two different prime numbers. 36 = (5 + 31) = (7 + 29) =
(13 + 23) = (17 + 19) 25 = (2 + 23) 32 = (3 + 29) =
(13 + 19) 28 = (5 + 23) = (11 + 17) Consider
information (3): We can conclude that the number of denims bought by
Ritika from the two outlets cannot be 5 and 23 as Ashish bought 2 denims
from one outlet and 23 from another. Also, the number of
denims bought by Aditya from the two outlets cannot be 13 and 23 as
Ashish bought 2 denims from one outlet and 23 from
another. Similarly, we can conclude that the number of denims
bought by Aditya from the two outlets cannot be (17 and 19) as Ritika
bought 11 denims from one outlet and 17 from
another. Therefore, the number of the denims bought by the
persons could be: Case
I:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
3
29
Ritika
11
17
Case II
:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
13
19
Ritika
11
17
Case III
:
National designer outlet
International designer outlet
Aditya
7
29
Ashish
2
23
Kriti
13
19
Ritika
11
17
Option (A) becomes false in Case I. Option (B) becomes false in either Case II or Case III. Option (C ) becomes false in Case III.
Q. No. 4:
If the number of denims bought by Kriti from an international designer outlet were 19, then the number of denims bought by Aditya from an international designer outlet were
Answer: D Let us first write the numbers 36, 25, 32 and 28 as a sum of
two different prime numbers. 36 = (5 + 31) = (7 + 29) =
(13 + 23) = (17 + 19) 25 = (2 + 23) 32 = (3 + 29) =
(13 + 19) 28 = (5 + 23) = (11 + 17) Consider
information (3): We can conclude that the number of denims bought by
Ritika from the two outlets cannot be 5 and 23 as Ashish bought 2 denims
from one outlet and 23 from another. Also, the number of
denims bought by Aditya from the two outlets cannot be 13 and 23 as
Ashish bought 2 denims from one outlet and 23 from
another. Similarly, we can conclude that the number of denims
bought by Aditya from the two outlets cannot be (17 and 19) as Ritika
bought 11 denims from one outlet and 17 from
another. Therefore, the number of the denims bought by the
persons could be: Case
I:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
3
29
Ritika
11
17
Case II
:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
13
19
Ritika
11
17
Case III
:
National designer outlet
International designer outlet
Aditya
7
29
Ashish
2
23
Kriti
13
19
Ritika
11
17
Q. No. 5:
Maximum possible difference between the total number of denims bought from all the national and all the international designer outlets by all these four persons could be
Answer: D Let us first write the numbers 36, 25, 32 and 28 as a sum of
two different prime numbers. 36 = (5 + 31) = (7 + 29) =
(13 + 23) = (17 + 19) 25 = (2 + 23) 32 = (3 + 29) =
(13 + 19) 28 = (5 + 23) = (11 + 17) Consider
information (3): We can conclude that the number of denims bought by
Ritika from the two outlets cannot be 5 and 23 as Ashish bought 2 denims
from one outlet and 23 from another. Also, the number of
denims bought by Aditya from the two outlets cannot be 13 and 23 as
Ashish bought 2 denims from one outlet and 23 from
another. Similarly, we can conclude that the number of denims
bought by Aditya from the two outlets cannot be (17 and 19) as Ritika
bought 11 denims from one outlet and 17 from
another. Therefore, the number of the denims bought by the
persons could be: Case
I:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
3
29
Ritika
11
17
Case II
:
National designer outlet
International designer outlet
Aditya
5
31
Ashish
2
23
Kriti
13
19
Ritika
11
17
Case III
:
National designer outlet
International designer outlet
Aditya
7
29
Ashish
2
23
Kriti
13
19
Ritika
11
17
difference will be maximum in Case I and will be equal to 79.
Read the information given below carefully and answer the questions:
In a group of five persons A, B, C, D, and E (i) A and C are intelligent in Philosophy and Reasoning. (ii) B and C are intelligent in Philosophy and Geology. (iii) E and D are intelligent in Arithmetic and Science. (iv) E is intelligent in Science, Reasoning and Arithmetic. (v) B and D are intelligent in Arithmetic and Geology.
Q. No. 1:
Who is intelligent in Philosophy, Arithmetic, and Geology?
Answer: A From statement (i) and rest of the other statements, we can easily conclude that A is intelligent in Philosophy and Reasoning but not in Geology
Q. No. 3:
Who is intelligent in Arithmetic, Geology and Science?