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In an examination, 34% of the students failed in mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then find the percentage of students who passed in both the subjects.

  • 40%
  • 42%
  • 44%
  • 46%

Answer: Option C

Explanation:

Failed in mathematics, n(A) = 34
Failed in English, n(B) = 42
\begin{aligned}
n(A\cup B) = n(A)+n(B)-n(A\cap B) \\
= 34+42-20 = 56 \\
\text{Failed in either or both subjects are 56} \\
\text{Percentage passed = }(100-56)\% \\
= 44\%
\end{aligned}

Similar Questions :

1. If number x is 10% less than another number y and y is 10% more than 125, then find out the value of x

  • 123.55
  • 123.65
  • 123.75
  • 123.85

Answer: Option C

2. Teacher took exam for English, average for the entire class was 80 marks. If we say that 10% of the students scored 95 marks and 20% scored 90 marks then calcualte average marks of the remaining students of the class.

  • 60
  • 70
  • 75
  • 80

Answer: Option C

Explanation:

Lets assume that total number of students in class is 100 and required average be x.
Then from the given statement we can calculate :
(10 * 95) + (20 * 90) + (70 * x) = (100 * 80)

=> 70x = 8000 - (950 + 1800) = 5250

=> x = 75.

3. 10% of inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants let the village. The population is then reduced to 4050. Find the original inhabitants

  • 5500
  • 6000
  • 6500
  • 7000

Answer: Option B

Explanation:

Let the total number is x,
then,

(100-25)% of (100 - 10)% x = 4050
=> 75% of 90% of x = 4050
=> 75/100 * 90/100 * x = 4050
=> x = (4050*50)/27 = 6000

4. One fourth of one third of two fifth of a number is 15. What will be40% of that number

  • 140
  • 150
  • 180
  • 200

Answer: Option C

Explanation:

(1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30 = 450
40% of 450 = 180

5. 2 is what percent of 50

  • 2%
  • 4%
  • 6%
  • 8%

Answer: Option B

Explanation:

2/50 * 100 = 1/25 * 100 = 4 %

Read more from - Percentage Questions Answers
Post a comment

  • Jaya Sri 9 years ago

    if suppose either hindi or english but not both means what will be the ans

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