Multiplication of Monomial by Monomial

Q. A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of the dog are equal to 4 leaps of the hare. Find the ratio of their speeds.

Q. There are benches in class room .If 4 students sit on each bench , 3 benches are left vacant and if 3 students sit on each bench , 3 students are left standing .what is the total number of students in the class?

Q.

From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9 : 16. The quantity of mixture is :

Q.

If Y is directly proportional to 1/Xand , X=2when Y =20 what is the value of X and Y= 1.25

Q. A man travelled 1/8 th of his journey by Bus , 1/4 th by a taxi and 3/5 th by a train and the remaining 8 KM on foot.What is the length of his total journey

Q.

If (X + Y)s 1 days work = 7/50, then (X + Y)s 10 days work =

1. 

2. 

3. 

4. 

Q.

If (P + Q + R) can finish 11/97 part of work in 1 day, then (P + Q + R) can together finish the work in

1. 

2. 

3. 

4. 

Q. Y-3x=1. This question varies directly or indirectly. Why

Q. Area of a square with side $\left(7cd\right)$ m is square metre.

1. $49c^{2}d$
2. $49c^2{d}^2$
3. $47c^{2}d$
4. $44c^2{d}^2$

Q.

Find the area of a rectangle whose length is $5xy$ units and breadth is $8x{y}^2$ units.

1. $40x^2$$y^3$ square units

2. $40x^2$$y^2$ square units

3. $40x{y}^3$ square units

4. $40xy$ square units

Q.

The sum of digits of a two digit number is 10. The sum of number and its reverse equals 110. Represent this graphically.

1. 

2. 

3. 

4. 

Q.

Find the area of a rectangle whose length is $5xy$ units and breadth is $8x{y}^2$ units.

1. $40x^2$$y^3$ square units

2. $40x^2$$y^2$ square units

3. $40x{y}^3$ square units

4. $40xy$ square units

Q.

$5x\times (-4yz)\times 3xz$ = ___

1. $60xyz$

2. $15x^2$$z^2-4yz$

3. $-60xyz$

4. $-60x^{2}y{z}^2$

Q. Find the area of a rectangle, whose length = 3x units breadth = 6y units.

1. 12xy
2. 18xy
3. 12x
4. 18y

Q. Multiply the following: -3a, 6x, and -2z.

1. - 36 axz
2. 12axz
3. 36axz
4. - 12axz

Q. Product of 6xy and - 2ab is _____.

1. -12abxy
2. 12abxy
3. -12xya
4. 12xya

Q. Find the value of $\left(6x^6\right)\times (-2x^2{y}^3)\times (-24x{y}^2)$, when x = 1 and y = 2.

1. 8966
2. 9216
3. 9612
4. 8536

Q. Find the product of $6x,-12x,x^{2}y,3y^2$.

1. $-108x^3{y}^2$
2. $-216x^4{y}^3$
3. $-2160x^5{y}^7$
4. $-1080x^{2}y$

Q. The two adjacent sides of the rectangle are $9x^{2}y$ units and 6xy units. Find the area of the rectangle.

1. $54x{y}^2$ square unit
2. $54x^3{y}^2$ square unit
3. $15xy$ square unit
4. $27x^3{y}^2$ square unit

Q. Find the product of $6x,-12x,x^{2}y,3y^2$.

1. $-108x^3{y}^2$
2. $-216x^4{y}^3$
3. $-2160x^5{y}^7$
4. $-1080x^{2}y$