Verification of Division

Q.

A library has $a$ copies of one book, $b$ copies of two books, $c$ copies of each of three books and a single copy of $d$books. The total number of ways in which these books can be distributed is?

1. $\frac{(a+2b+3c+d)!}{a!\times b!\times c!}$

2. $\frac{(a+2b+3c+d)!}{a!\times b^2!\times c^3!}$

3. $\frac{(a+2b+3c+d)!}{a!\times {(b!)}^2\times {(c!)}^3}$

4. $\frac{(a+2b+3c+d)!}{a+b+c+d}$

Q.

$P,Q,R$ and $S$ have to give lectures to an audience. The organiser can arrange the order of their presentation in ?

1. $4$ ways

2. $12$ ways

3. $256$ ways

4. $24$ ways

Q. If the chocolates are distributed equally among the students, find the number of chocolates each student will get.

1. 1
2. 2
3. 3
4. 4

Q. $16$ chocolates need to be distributed among $4$ children. How many chocolates did each student get $?$

1. $1$
2. $2$
3. $3$
4. $4$

Q. How many hours are there in $180$ minutes? (one hour is equal to 60 mins)

1. $2$
2. $3$
3. $4$

Q.
Dividing the candies equally between 5 children, each child will get _____ candies.

1. 1
2. 2
3. 3
4. 4

Q. $\$49$ is distributed equally among $7$ men. How much money will each person get?

1. $\$343,$ because $\$49\times 7=\$343$
2. $\$42,$ because $\$49-7=\$42$
3. $\$7,$ because $\$49÷7=\$7$
4. $\$3,$ because $\$49÷7=\$3$

Q. When the largest two-digit number is divided by the smallest two-digit number, the result is always a two-digit number.

1. True
2. False

Q. The remainder when $27$ is divided by $6$ is .

1. $1$
2. $2$
3. $3$
4. $4$

Q. Joe plans to distribute 56 cookies equally among his 8 friends. Find the number of cookies each friend will get.

1. 5
2. 6
3. 7
4. 8

Q. After dividing $30$ by $6$, we get quotient as .

1. $3$
2. $4$
3. $5$
4. $6$

Q. Choose the correct value of A, B, and C which are missing in the following table

Repeated Subtraction of 15 $÷$ 5

Steps	Dividend	Divisor	Operation
1	15	5	15 - 5 = A
2	10	5	10 - 5 = 5
3	B	5	5 - 5 = C

1. A = 10, B = 10, C = 5
2. A = 15, B = 10, C = 0
3. A = 10, B = 5, C = 0
4. A = 5, B = 15, C = 0

Q. There are $22$ candies, which need to be equally distributed among $4$ children. How many candies did each child get $?$

1. $3$
2. $4$
3. $5$
4. $6$

Q.

Dividing $27$ by $4$, we get .

1. $5\text{R}3$
2. $6\text{R}1$
3. $6\text{R}3$

Q. 75 oranges are to be distributed equally among 14 men. How many oranges will each man get? Also, find the leftover oranges. [ 4 marks ]

Q. $38$ chocolate chips packets are equally distributed among $12$ students. How many packets will remain after equal distribution?

1. $1$
2. $2$
3. $3$
4. $4$

Q. Find the number of pens left at the end after distributing 13 pens equally among 4 students.

1. 0
2. 1
3. 2
4. 3

Q. John and Andrew had $10$ dollars to share equally between themselves. To find out how much money each of them gets, we have to multiply $10$ by $2.$

1. True
2. False

Q. The existing food truck earns $\$3,000$ every day. Steve spends twelve-fifteenths of this amount to buy groceries for the food truck. In $5$ days, how much money is Steve not spending on buying groceries for the food truck?

1. $\$3,000$
2. $\$1,000$
3. $\$90,000$
4. $\$10,000$

Q. Which of the following area models correctly represents multiplication facts for $19$ and $3?$

Q. A school with 20 sections has 160 students. Find the number of pupils in each section if they are equal.

1. $8$
2. $6$
3. $10$