Joint Variation

Q. If 6 men and 2 women can finish the work in 12 days.Then in how many days 9 men and 3 women can finish the work?

Q.

40 men can build a road in 10 days, working 5 hours a day. In how many days will 30 men, working 8 hours a day, complete the road?

1. 10

2. 25/2

3. 25/3

4. 8

Q.

The area of a triangle is indirectly proportional to its height

1. True

2. False

Q. Question 9
$3(5z-7)-2(9z-11)=4(8z-13)-17$

Q. 12 mens work 9 hour daily can finish a work in 30 days . how many mens working 10 times faster can complete the work if they wprk for 5 hour s daily for 24 days.

Q.

If x ∝ y , and y = 9 when x = 3. If value of y = 27 then value of x =

1. 6

2. 9

3. 12

4. 15

Q. 15.300 workers were engaged to finish a piece of work in a certain number of days. If 8 workers dropped on the second day, 8 more workers dropped on the third day and so on. It took 8 more days to finish the work now. The number of days in which the work was completed is 1. 35 2. 30 3. 25 4. 28

Q.

Solve the following system of linear equations for $xandy$

$ax+by=a-b;bx-ay=a+b$

Q.

Let the base of the triangle be b. Let the height (altitude) be h. Then the area (A) of that triangle varies as :

1. A ∝ 1/bh

2. A ∝ bh

3. A ∝ 2bh

4. A ∝ b/h

Q.

x ∝ y and x ∝ $\frac{1}{z}$. if y = 4, z = 5 , then x = 2. Now, if y = 20 and z = 25 , then x =

1. 3

2. 4

3. 2

4. 5

Q.

Thirty men were engaged to construct a road in $2$ months. But $6$men did not come to work at all. How many days will it take to construct the road?

( Assume that $2$ months $=$$60$ days)

Q.

Let the base of the triangle be b. Let the height (altitude) be h. Then the area (A) of that triangle varies as :

1. A ∝ 1/bh

2. A ∝ b/h

3. A ∝ 2bh

4. A ∝ bh

Q. 2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it?

Q.

$x\propto y\text{and x}\propto \frac{1}{z}.$ if y = 5, z = 4 , then x = 3. Now, if y = 30 and z = 16 , then x =

1. 2

2. 9

3. 9/2

4. 5/2

Q.

If x ∝ y , and y = 9 when x = 3. If value of y = 27 then value of x =

1. 6

2. 9

3. 15

4. 12

Q.

$x\propto y\text{and x}\propto \frac{1}{z}.$ if y = 5, z = 4 , then x = 3. Now, if y = 30 and z = 16 , then x =

1. 9

2. 9/2

3. 2

4. 5/2

Q.

The are 16 workers working to construct a wall and it will take 48 hours to build it. But due to some accident, 4 workers injured and left. Now, the contractor wants the wall to be built in 32 hours. How many more workers are required to complete the job?

1. 10

2. 12

3. 13

4. 26

Q.

By knowing the base and __ of a triangle we can calculate the area of the triangle.

Q. 24 workers can build a wall in 15 days. How many days will 9 workers take to build a similar wall?

Q.

if 5 men take an hour to dig a ditch, how long should it take 12 men to dig same type of ditch?

Q.

one worker can dig a trench in 5 days and 8 hours.how many workers are required to dig 3 trenches in 1 day?(assuming that working hours each day are from 10 am to 6 pm)

Q. any common formula for the area of triangle to find the area of segnment in a circle?

Q. If the areas of two similar triangle are equal, then they are congruent.

1. True
2. False

Q. If the ratio of area of triangle ABC and triangle DEF is 16 : 25. then the ratio of their height is.

1. 4 : 5
2. 16 : 25
3. 5 : 16

Q. 47. For the same amount of work adult has done 6 hours less than a child. If they together come and work it would take 13hours12minute. Find the time taken by the child to complete this work

Q.

x ∝ y and x ∝ $\frac{1}{z}$. if y = 4, z = 5 , then x = 2. Now, if y = 20 and z = 25 , then x =

1. 2

2. 3

3. 4

4. 5

Q. In an equilateral triangle with side a, prove that area = $\frac{\sqrt{3}}{4}{a}^2.$