To find out how many questions Jane got wrong, we first need to determine how many questions she got right. Since she scored 80% on the test:

$$\text{Number of correct answers}=0.80\times 50=40$$

Jane got 40 questions correct. Therefore, the number of questions she got wrong is:

$$\text{Number of wrong answers}=50-40=10$$

So, Jane got 10 questions wrong.

To determine how many square meters of wall area can be painted with 10 liters of paint, we can use the given ratio:

Coverage per liter=5liters50m2​=10m2/liter

Now, we can calculate the coverage for 10 liters:

Total coverage=10liters×10m2/liter=100m2

So, 10 liters of paint can cover 100 square meters of wall area.

Let’s evaluate the expression step by step:

Given:

$$-1(4-5\times 6/2)$$

1. First, perform the multiplication and division inside the parentheses:

$$5\times 6=30$$

$$30/2=15$$

So, the expression inside the parentheses becomes:

$$4-15$$

2. Next, perform the subtraction inside the parentheses:

$$4-15=-11$$

3. Finally, multiply by -1:

$$-1\times -11=11$$

So, the value of the expression is 11.

To determine how many days it will take to complete the task with additional workers, we can use the concept of work rate.

Let’s assume the work rate of one worker is 1/24 of the task per day.

If three more workers join, there will be a total of 4 workers. The combined work rate of 4 workers is:

4× 1/24 = 4/24 ​= 1/6​

This means that together, the 4 workers can complete 1/6 of the task per day. Therefore, the number of days required to complete the task is:

1​ task/(1/6) task per day​=6 days

So, with three more workers joining, the task will be completed in 6 days.

To find the cost of 5 eggs, you can use the unitary method.

First, find the cost of one egg:

Cost of one egg = 720 Rs/36 eggs = 20 Rs per egg 

Now, multiply the cost of one egg by 5:

Cost of 5 eggs = 20 Rs×5=100 Rs

So, the cost of 5 eggs is Rs. 100

To find out how long it will take for the train to travel 25 kilometers at a speed of 100 km/hour, you can use the formula:

Time = Distance/Speed​

Given:

• Distance = 25 km
• Speed = 100 km/hour

Time=25 km/100 km/h ​= 0.25 hours

So, it will take the train 0.25 hours (or 15 minutes) to travel 25 kilometers.

Step 1: Calculate the speed of the car

The car covers 360 km in 3 hours.

Speed=Distance/Time=360 km/3 hours=120 km/h

Step 2: Convert 40 minutes into hours

Since speed is in km/h, we need to convert 40 minutes into hours.

40 minutes=40/60 hours=2/3 hours

Step 3: Calculate the distance covered in 40 minutes

Now, we can calculate the distance covered in 2/3 hours at a speed of 120 km/h.

Distance=Speed×Time=120 km/h×2/3 hours=80 km

So, the car will cover 80 km in 40 minutes.

To find the result of subtracting −4x+5y from $y$, we perform the subtraction:

(3x+2y) − (−4x+5y)

Distribute the negative sign across the second expression:

3x+2y+4x−5y

Now, combine like terms:

(3x+4x) + (2y−5y) = 7x−3y

So, the answer is: 7x-3y

To evaluate the algebraic expression −3(4s−2t) − 4(2s+3t), follow these steps:

1. Distribute the constants inside the parentheses:

−3(4s−2t) = −3⋅4s + (−3)⋅(−2t) = −12s+6t

−4(2s+3t) = −4⋅2s + (−4)⋅3t = −8s−12t

1. Combine the results:

−12s+6t−8s−12t

Combine like terms:

(−12s−8s) + (6t−12t) = −20s−6t

So, the simplified expression is:

−(20s+6t)

Let’s reconsider the arrangement with X:

1. A and P are at the ends.
2. S and Z are in the center.
3. R is to the left of A.

We need to determine if X could be the person to the right of P. The arrangement must fit all conditions.

1. A and P at the ends, and S and Z in the center suggest that A and P are on either end, and S and Z are in the middle positions.
2. Since R is to the left of A, R must be placed somewhere before A.

Let's explore the possible arrangements:

1. P - R - S - Z - A (fits all conditions, X is not present in this arrangement).
2. P - R - X - S - Z - A (fits the conditions, X is present to the right of P).

If X is included in the sequence and it meets all conditions, the arrangement would be:

P, R, X, S, Z, A.

In this case, X is indeed to the right of P.

To determine the number of male members in the family, let’s summarize the information and deduce the genders:

1. The Manager (Grandfather) is male.
2. The Doctor (S) is female and married to the Manager.
3. Q (Teacher) is female and the mother of U and T.
4. R (Salesman) is male and married to Q (Teacher).
5. U (Engineer) is a child of Q and R. Gender is not explicitly mentioned, but typically in such problems, engineers are not gender specific.
6. T (Child of Q and R) - Gender is not specified but often assumed to be male or female in problems. In this case, let’s assume T could be either.

Therefore, the data is inadequate.

Let’s break down the information step by step to understand the family structure and professions:

1. Two married couples:
   • Couple 1: Manager and Doctor
   • Couple 2: Salesman and Teacher
2. Manager is the grandfather of U (Engineer):
   • Manager is male and has a child who is a parent of U.
3. R (Salesman) is married to the lady Teacher:
   • R is male, and his wife is the Teacher.
4. Q is the mother of U and T:
   • Q is female and married to the father of U and T.
5. Doctor (S) is married to the Manager:
   • S is female and married to the Manager.

From this information, we can deduce the following:

• Manager: Grandfather of U, married to S (Doctor).
• Doctor (S): Grandmother of U, married to the Manager.
• Salesman ®: Married to the Teacher.
• Teacher: Married to R (Salesman).
• Q: Mother of U and T, married to the father of U and T.
• U: Engineer, child of Q.
• T: Sibling of U.

Now, let’s assign the professions:

• Manager: P (since he is the grandfather and married to S).
• Doctor: S (married to the Manager).
• Salesman: R (married to the Teacher).
• Teacher: Q (since she is married to R).
• Engineer: U (grandchild of the Manager).
• Lawyer: T (since all other professions are assigned).

So, the family members and their professions are:

• P: Manager
• Q: Teacher
• R: Salesman
• S: Doctor
• T: Lawyer
• U: Engineer

The two married couples in the family are:

1. P (Manager) and S (Doctor):
   • Explanation: According to the information, the Manager is the grandfather of U and is married to the Doctor, S. This makes P the Manager and S the Doctor.
2. R (Salesman) and Q (Teacher):
   • Explanation: It is stated that R, the Salesman, is married to the lady Teacher. Additionally, Q is mentioned as the mother of U and T, which implies she is married to R, making her the Teacher.

So, the two married couples are P and S, and R and Q.

P is the grandfather of T.

Explanation: P is the Manager and is married to S, the Doctor. They are the grandparents of U (Engineer) and T (Lawyer). Since U and T are siblings, P is the grandfather of both U and T.

Let’s break down the information provided:

1. Family Members: P, Q, R, S, T, and U.
2. Gender: Three males.
3. Married Couples: Two couples.
4. Relationships:
   • R is the father of P and U.
   • T is the mother of R.
   • P is the granddaughter of Q.

From this, we can deduce:

• R is male (father of P and U).
• T is female (mother of R).
• P is female (granddaughter of Q).
• Q is likely male (grandfather of P, since P is the granddaughter).

Since R is the father of both P and U, and P is the granddaughter of Q, U must also be a child of R. Therefore, U is the sibling of P.

So, U is P’s sibling.

Based on the information provided:

• R is the father of P and U.
• T is the mother of R.
• P is the granddaughter of Q.

Since R is the father of U and P, and P is the granddaughter of Q, it follows that U is also a grandchild of Q.

Therefore, Q is the grandparent of U.

Let’s analyze the given pairs based on the information provided:

1. T and U (TU): T is the mother of R, and U is the child of R. Therefore, T and U cannot be a married couple.
2. Q and S (QS): We don’t have enough information about S’s relationship to the other family members, but we know Q is a grandparent. Without more details, we can’t confirm this pair.
3. T and Q (TQ): T is the mother of R, and P is the granddaughter of Q. This implies that T and Q are likely the grandparents of P, making them a married couple.

Therefore, the married couple is TQ (T and Q).

Let’s determine the male members based on the information provided:

• R is male (father of P and U).
• Q is likely male (grandfather of P, since P is the granddaughter).
• There are three males in total.

Given this, the third male could be either U or S. Since we don’t have explicit information about S’s gender, we’ll assume U is male to complete the count of three males.

Now, let’s evaluate the groups:

1. Q, S, T: T is female, and we don’t have enough information about S.
2. P, U, Q: P is female, Q is male, and U is assumed male.
3. Q, R, U: Q is male, R is male, and U is assumed male.

Therefore, the group of male members is Q, R, U

Based on the information provided:

• T is the mother of R.
• P is the granddaughter of Q.
• There are two married couples in the family.

Since T is the mother of R and P is the granddaughter of Q, it implies that T and Q are likely the grandparents of P. Therefore, Q is the husband of T.