Simplify the following equation. 1943 + 12 + 13 + 11 + 14

Correct Answer: 35 litres

Explanation:

Let the capacity of the tank be x litres.

 

Then, (6x/7 - 2x/5) = 16 <=> 30x - 14x = 16*35 <=> x = 35

Correct Answer: 62.5

Correct Answer: 105/304

Explanation:

Required difference = 19/16 - 16/19  =  105/304..

Correct Answer: 50

Explanation:

a + b + c 2 = a 2 + b 2 + c 2 + 2 a b + b c + c a

$$\begin{gathered} 2 a b + b c + c a = a + b + c 2 - a 2 + b 2 + c 2 \\ = 169 - 69 = 100 \\ = a b + b c + c a = 50 \end{gathered}$$

Correct Answer: 22

Explanation:

3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)

                    = (6 + 10 - 9 + 15) = 22.

Correct Answer: 175

Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

Therefore,  160 * 2.40 + x * 3.20 = 432

 => 3.20x = 432 - 384 = 48

 => x = 15.

 Hence, total hours of work = (160 + 15) = 175.

Correct Answer: 300

Explanation:

37 1 2 = 75 2

Required number =   75 2 1 8 = 75 x 4 = 300

Correct Answer: 200

Explanation:

Let the number  of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).

0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..

Correct Answer: 10

Explanation:

Apply  a 3 + b 3 + c 3 - 3 a b c a 2 + b 2 + c 2 - a b - b c - c a = a + b + c

 

Hence the answer is  1.5 + 4.7 + 3.8 = 10.

Correct Answer: 121

Explanation:

Let the score be x. Then the highest score = 3x/11.

Reminder = (x - 3x/11) = 8x/11 .Next the highest score = 3/11 of 8x/11 = 24x/121.

3x/11 - 24x/11 = 9 <=> 33x - 24x = 9*121 <=> x= 121..