A "multiple of kilogram" refers to a value that is a whole number multiple of the kilogram unit. For example, if a weight is expressed as a multiple of kilogram, it means that the weight is a whole number multiple of one kilogram. It could be 2 kilograms, 3 kilograms, 4 kilograms, and so on. In other words, if a weight is given as n times the kilogram unit, where n is a whole number, then it is a multiple of kilogram.

To determine how many kilometers the loaded truck will travel in 5 hours, we need to find the speed at which it is traveling. The truck travels 14 km in 25 minutes, which can be converted to hours by dividing by 60: 25 minutes = 25/60 hours = 0.4167 hours Now, we can calculate the speed of the truck: Speed = Distance / Time Speed = 14 km / 0.4167 hours ≈ 33.60 km/h Since the speed remains the same, we can now calculate the distance the truck will travel in 5 hours: Distance = Speed × Time Distance = 33.60 km/h × 5 hours = 168 km Therefore, the loaded truck will travel approximately 168 kilometers in 5 hours.

See the figure

See the figure

Ans. Option B 2/3

Since, alpha + beta = alpha*beta (given)

By the problem, 2/p = 3p/p .  => 2/p = 3

So, p = 2/3   (Ans.)

2(1)²-3(1)-4 =2×1-3×1-4 =2-3-4 =-1-4 =-5

Given, PQR is a triangle and <Q =90 degree 

And PQ = 12 cm 

       PR = 13 cm

We know that the area of right angle triangle = 1/2 ( product of legs)

But one leg QR is not given here

 So by Pythagores theorem 

                       (PQ)^2 + (QR)^2 = (PR)^2

                     = (12)^  + (QR)^2 = (13)^2

                     = 144 + (QR)^2    =169

              So, (QR)^2= 169-144

                or, (QR)^2=25

               so, QR = 5 cm

Now Area of right anged triangle PQR= 1/2 X 5 X 12

                                                             =30 sq.cm Answer

Given , The machine fills 675 bottles in 5 hours .

       so, the machin will fill 1 bottles in 5/675 bottels 

      so, the machine will fill 1890 bottels in 5/675 X 1890

                                                               = 14 hours

Therefore the machine will take 5 hours to fill 1890 bottles.

Part of tank filled by first tap in one hour = 1/10

Part of tank filled by second tap in one hour = 1/15

Part of tank filled by first and second tap in one hour = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6.

So the tank will be filled in 6 hours when both taps are turned on simultaneously.

An equation of the form  ax^2 + bx + c = 0 where a, b and c are all real and a is not equal to 0, is a quadratic equation.

(i) (5x-3)(x+5) = x(2x+1)

5x^2 - 15 + 22x = 2x^2 +x

3x^2  + 21 x - 15 = 0

As per the definition this is a quadratic equation.

(ii)  x^2 + 7x + 5 = (x+7)^2

x^2 + 7x + 5 = x^2 + 14x + 49

7x + 44 = 0

This is not a quadratic equation , since there is no x^2 term.