Logical Games Test

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Logical Games Test - 13

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Question 1
1 / -0

Directions: Read the information given below and answer the question based on that.

10 coins are to be distributed among P, Q, R, and S such that one of them gets one coin, the second one gets two coins, the third one gets three coins, and the fourth one gets four coins, not necessarily in the same order. It is also known that Q gets more coins than P, and S gets fewer coins than R.

If Q gets twice the number of coins received by P, then it is necessary that

A
R gets an odd number of coins

B
S gets an odd number of coins

C
R gets an even number of coins

D
S gets an even number of coins

E
None of the above

Solution

We know, Q > P and R > S
If Q gets twice the number of coins than P,
Possibility 1:
P gets 1 coin, Q gets 2 coins, S gets 3 coins and R gets four coins .
Possibility 2:
S gets 1 coin, P gets 2 coins, R gets 3 coins, Q gets 4 coins.
In both the cases, S gets odd number of coins.
Question 2
1 / -0

Directions: Read the information given below and answer the question that follows.

Ten coins are to be distributed among P, Q, R and S, such that one of them gets one coin, the second one gets two coins, the third one gets three coins, and the fourth one gets four coins, not necessarily in the same order. It is also known that Q gets more coins than P and S gets fewer coins than R.

If R gets at least two coins more than S, then it is necessary that

A
Q gets at least two coins more than S

B
Q gets more coins than R

C
Q gets more coins as compared to S

D
P and Q together get at least five coins

E
None of the above

Solution

We know, Q > P and R > S
If R gets atleast two coins more than S,
Possibility 1:
S gets 1 coin, P gets 2 coins, Q gets 3 coins and R gets four coins .
Possibility 2:
S gets 1 coin, P gets 2 coins, R gets 3 coins, Q gets 4 coins.
Possibility 3:
P gets 1 coin, S gets 2 coins, Q gets 3 coins, R gets 4 coins.
In all the cases, Q gets more coins than S.
Question 3
1 / -0

Directions: Read the information given below and answer the question based on that.

10 coins are to be distributed among P, Q, R, and S, such that one of them gets one coin, the second one gets two coins, the third one gets three coins, and the fourth one gets four coins, not necessarily in the same order. It is also known that Q gets more coins than P and S gets fewer coins than R gets.

If R gets more coins than Q it is not necessary that

A
P and Q together get at least 4 coins

B
S and Q together get at least 4 coins

C
R and S together get at least 5 coins

D
P and R together get at least 5 coins

E
None the above

Solution

We know, Q > P and R > S
If R gets more coins than Q.
Possibility 1:
S gets 1 coin, P gets 2 coins, Q gets 3 coins and R gets four coins.
Possibility 2:
P gets 1 coin, S gets 2 coins, Q gets 3 coins and R gets four coins .
Possibility 3:
P gets 1 coin, Q gets 2 coins, S gets 3 coins and R gets four coins .
Here, in possibility 3,
P and Q together get 3 coins, hence, option 1 is correct.
Question 4
1 / -0

Directions For Questions

Directions: Read the paragraph given below and answer the question based on it.

A young girl, Roopa, leaves home with x flowers and goes to the bank of a nearby river. On the bank of the river, there are four spots of worship in a row. She dips all the x flowers into the river and the number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, and again offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, and yet again offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, and offers y flowers to the deity. Now she does not have any more flowers.

...view full instructions

If Roopa had 30 flowers when she left home, how many flowers did she offer to each deity?

A
32

B
31

C
30

D
33

Solution

Number of flowers = 30
When flowers are dipped in river they get doubled, so condition becomes,

So, 480 - 15y = 0
⇒ 480 = 15y
⇒ y = 480/15
⇒ 32
Question 5
1 / -0

Directions For Questions

Directions: Read the paragraph given below and answer the question based on it.

A young girl, Roopa, leaves home with x flowers and goes to the bank of a nearby river. On the bank of the river, there are four spots of worship in a row. She dips all the x flowers into the river and the number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, and again offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, and yet again offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, and offers y flowers to the deity. Now she does not have any more flowers.

...view full instructions

The minimum number of flowers that could be offered to each deity is:

A
10

B
15

C
16

D
Cannot be determined

Solution

Number of flowers initially with her = x
Number of flowers with her after 1^st dip in the river = 2x
Number of flowers with her after offering y to 1^st deity = 2x - y
Number of flowers with her after 2^nd dip = 4x - 2y
Number of flowers with her after offering y to 2^nd deity = 4x - 3y
Number of flowers with her after 3^rd dip = 8x - 6y
Number of flowers with her after offering y to 3^rd deity = 8x - 7y
Number of flowers with her after 4^thdip = 16x - 14y
Number of flowers after offering y to 4^th deity = 16x - 15y = 0
Or 16x = 15y
Or y = 16x/15
It is to be noted that both x and y can be natural numbers only.
Minimum value of y is when x is 15 and it is 16.
It is also to be noted that with these 2 values of x and y, the number of flowers with her is always greater than 0.
Thus, minimum number of flowers she could offer to each deity = 16
Hence, answer option 3 is correct.
Question 6
1 / -0

Directions For Questions

Directions: Read the paragraph given below and answer the question based on it.

A young girl, Roopa, leaves home with x flowers and goes to the bank of a nearby river. On the bank of the river, there are four spots of worship in a row. She dips all the x flowers into the river and the number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, and again offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, and yet again offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, and offers y flowers to the deity. Now she does not have any more flowers.

...view full instructions

The minimum number of flowers with which Roopa leaves home is

A
16

B
15

C
0

D
Cannot be determined

Solution

Number of flowers initially with her = x
Number of flowers with her after 1^st dip in the river = 2x
Number of flowers with her after offering y to 1^st deity = 2x - y
Number of flowers with her after 2^nd dip = 4x - 2y
Number of flowers with her after offering y to 2^nd deity = 4x - 3y
Number of flowers with her after 3^rd dip = 8x - 6y
Number of flowers with her after offering y to 3^rd deity = 8x - 7y
Number of flowers with her after 4^thdip = 16x - 14y
Number of flowers after offering y to 4^th deity = 16x - 15y = 0
Or 16x = 15y
Or x = 15y/16
It is to be noted that both x and y can be natural numbers only.
Minimum value of x is when y is 16 and it is 15.
It is also to be noted that with these 2 values of x and y, the number of flowers with her is always greater than 0.
Thus, minimum number of flowers she left her home with = 15
Hence, answer option 2 is correct.
Question 7
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Directions: Refer to the following information and answer the given question.

Six houses are being allotted to six people - A, B, C, D, E and F. All the houses are in a single row with numbers 1 to 6.

A can take any house except 5 or 6
B can take only house 4 or 5
C can take only house 3 or 6
D can take only house 2 or 6
E can take only house 1 or 3
F can take any house except 1 or 3

If B takes house 4, F must take house

A
6

B
2

C
5

D
None of these

Solution

According to instructions, only B and F can be in house number 5, if B takes house 4 then F must be in house 5 as no other person can take house 5.
Question 8
1 / -0

Directions: Refer to the following information and answer the given question.

Six houses are being allotted to six people - A, B, C, D, E and F. All the houses are in a single row with numbers 1 to 6.

A can take any house except 5 or 6
B can take only house 4 or 5
C can take only house 3 or 6
D can take only house 2 or 6
E can take only house 1 or 3
F can take any house except 1 or 3

If A takes house 3, E must take house

A
1

B
3

C
4

D
5

Solution

E can take only house 1 or 3. If A takes house 3, E has to take house 1.
Question 9
1 / -0

Directions: Refer to the following information and answer the given question.

Six houses are being allotted to six people - A, B, C, D, E and F. All the houses are in a single row with numbers 1 to 6.

A can take any house except 5 or 6
B can take only house 4 or 5
C can take only house 3 or 6
D can take only house 2 or 6
E can take only house 1 or 3
F can take any house except 1 or 3

If D takes house 6, which of the following must be true?

A
E takes house 1.

B
A takes house 2.

C
B takes house 4.

D
E takes house 3.

Solution

If D takes house 6, C has to take house 3. If C takes house 3, E has to take house 1.
Question 10
1 / -0

Directions: Sum of the ages of four brothers P, Q, R, and S is 45. When 2 is added to the age of P, 2 is subtracted from the age of Q, 2 is multiplied to the age of R and the age of S is divided by 2, you get the same number.

Who is the eldest?

A
P

B
S

C
Q

D
Data insufficient

Solution

Since we have 4 numbers which needs to be found out and just two equations are given, so data is insufficient and we cannot find the age of the eldest person.
Question 11
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The sum of four numbers P, Q, R and S is 45. When 2 is added to P, 2 is subtracted from Q, 2 is multiplied with R and S is divided by 2, you get the same result in each case.

Find the least number.

A
R

B
P

C
Data insufficient

D
S

Solution

Since we have 4 numbers which need to be found out and just two equations are given, so the data is insufficient and we cannot find the least number.
Question 12
1 / -0

Directions: Sum of the ages of four brothers P, Q, R, and S is 45. When 2 is added to the age of P, 2 is subtracted from the age of Q, 2 is multiplied to the age of R and the age of S is divided by 2, you get the same number.

What is the age of Q?

A
14 years

B
16 years

C
Data insufficient

D
None of these
Question 13
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Directions: Puneet and Guruvinder are friends. Puneet has three sons while Guruvinder has two. Product of the ages of Guruvinder's sons is equal to the product of ages of Puneet's sons. The maximum and minimum age differences between any two of Puneet's son are 2 years and 1 year respectively. The age difference between sons of Guruvinder is 1 year. One of Guruvinder's sons had fallen sick when he was 9 years old. Guruvinder had got married on 29^th February, 19 years back. Ages of all the sons of Puneet and Guruvinder are integers.

What is the age of the youngest son of Puneet?

A
1 year

B
2 years

C
3 years

D
None of these
Question 14
1 / -0

Directions: Puneet and Guruvinder are friends. Puneet has three sons while Guruvinder has two. Product of the ages of Guruvinder's sons is equal to the product of ages of Puneet's sons. The maximum and minimum age differences between any two of Puneet's son are 2 years and 1 year. The age difference between sons of Guruvinder is 1 year. One of Guruvinder's sons had fallen sick when he was 9 years old. Guruvinder had got married on 29^th February, 19 years back. Ages of all the sons of Puneet and Guruvinder are integers.

What is the age of the eldest son of Puneet?

A
9 years

B
10 years

C
7 years

D
Data insufficient
Question 15
1 / -0

Directions: Puneet and Guruvinder are friends. Puneet has three sons while Guruvinder has two. Product of the ages of Guruvinder's sons is equal to the product of ages of Puneet's sons. The maximum and minimum age differences between any two of Puneet's son are 2 years and 1 year. The age difference between sons of Guruvinder is 1 year. One of Guruvinder's sons had fallen sick when he was 9 years old. Guruvinder had got married on 29^th February, 19 years back. Ages of all the sons of Puneet and Guruvinder are integers.

What is the age of Guruvinder's eldest son?

A
13 years

B
14 years

C
Data insufficient

D
None of these

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Re-Attempt Weekly Quiz Competition

Logical Games Test - 13

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Logical Games Test - 13

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SHARING IS CARING

Question 1

R gets an odd number of coins

S gets an odd number of coins

R gets an even number of coins

S gets an even number of coins

None of the above

Solution

Question 2

Q gets at least two coins more than S

Q gets more coins than R

Q gets more coins as compared to S

P and Q together get at least five coins

None of the above

Solution

Question 3

P and Q together get at least 4 coins

S and Q together get at least 4 coins

R and S together get at least 5 coins

P and R together get at least 5 coins

None the above

Solution

Question 4

32

31

30

33

Solution

Question 5

10

15

16

Cannot be determined

Solution

Question 6

16

15

0

Cannot be determined

Solution

Question 7

6

2

5

None of these

Solution

Question 8

1

3

4

5

Solution

Question 9

E takes house 1.

A takes house 2.

B takes house 4.

E takes house 3.

Solution

Question 10

P

S

Q

Data insufficient

Solution

Question 11

R

P

Data insufficient

S

Solution

Question 12

14 years

16 years