Explanation

Let x be the number of correct answers

Number of wrong answers = 25 - x

Total marks = 2x - 0.5(25 - x) = 37.5

Simplifying the equation, we get:

2x - 12.5 + 0.5x = 37.5

2.5x = 50

x = 20

So, the number of correct answers is 20, and the number of wrong answers is:

25 - 20 = 5

Explanation

• A truck travels at the rate of 80 km per hour.40 km distance travel in 30 minutes
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• Because 30 minutes is a one-half hour, and the truck travels 80 kilometers per hour, the distance traveled is 40 kilometers (80 kilometers x ½ hour = 40 kilometers)
  

Explanation

Two angles are called supplementary angles, if their sum is two right angles i.e. 180°.

Explanation

Total passengers = 116, and each bus carries 38 passengers.

116/38 = 3.05, so at least 4 buses are required to carry all passengers.

Explanation

Explanation

 Thus, there are 2 values of x for which we'll get to satisfy the given equation.

Now, x^2–5x+6=0 is comparable with ax^2+bx+c=0, where a=1 ,b =-5 and c=6 .

Explanation

To find the value of K:

K = 6 × 17

= 102

= 2 × 102 = 204

Explanation

Speed              =distance/time

=>speed          = (600/300) x (18/5)

                                    =7.2 km/hr

Explanation

Let's denote Akram's age as 10a + b and his wife's age as 10b + a, where a > b.

Given the difference between their ages is 1/11 of their sum:

(10a + b) - (10b + a) = 1/11 * ((10a + b) + (10b + a))

9a - 9b = 1/11 * (11a + 11b)

9(a - b) = a + b

9a - 9b = a + b

8a = 10b

4a = 5b

Possible values for (a, b) given a > b:

(5, 4)

Akram's age: 10_5 + 4 = 54

Wife's age: 10_4 + 5 = 45

Explanation

Choice $\mathrm{C}$ is correct. This is a proportion problem. If $x$ is the number of loggers needed to chop down 20 trees,

then we form the proportion 8 loggers : 28 trees $=20$ loggers : $x$ trees, or $\frac{8}{28}=\frac{20}{x}$. Solving for $x$, we get $x=\frac{(28)(20)}{8}$, or $x=70$