Question

a kid takes a test with 150 questions he got a 60% how many questions did he get right?

Answer 1

Depends on 3 scenario shown below.

(a) 113 - All correctly Answered get 75.1/3% - slightly above your threshold

(b) answer 112 fully correct and one Q that is 1/2 correct - still you'll get 75.1/3% - slightly above your threshold

(C) Answer All 150 Questions and get each of them only 1/2 correct.

Here's why….

Two Assumptions from your question :

(1) Each Question is ‘1′ mark if Correct and ‘O’ if incorrect.

(2) There are 150 Question so total marks =150

Workings :

(A1) You are looking to answer 75% of 150 questions and All must be correct. Do, 75% of 150 = 112.50 Questions, but since you cannot answer any question and get it only hslft correct, you will have to answer one more question (after 112 fully correct. This means you have correctly answered 113Qs, and you will get a third (1/3%) more than 75% you expected.

(A2) Alt Assumption, but kinda far-fetched…assume each of those 150 question is worth 1 mark if Fully correct & 1/2mark if half correct. You will still have to answer 113 question but any one of them can be half correct. Do, technically you should get 112.50 marks, which is 75% threshold you have set your self. Or…..

(A3) You answer All 150 Question and everyone of thrm must be Half correct. This means, although you've answered All Question. Each one is only half (1/2) correct and will get 1/2mark. Ie. 50% of every question is correct sbd you will reach your desired threshold of 75% goal (150 x50%=75%).

Answer 2

$\huge{ \underline{ \bf{Given \: : }}}$

• child given 150 questions
• got 60%

$\huge{ \underline{ \bf{To \: Find \: : }}}$

• How many questions did he get right?

$\huge{ \underline{ \underline{ \bf{Solution \: : - }}}}$

As we know,

$\red{\boxed{ \tt{ \green{Percentage = ( \frac{value}{total \: value} ) \times 100}}}}$

• Let the value to right answered questions be 'x'

$\tt \to60 = \frac{x}{ \cancel{150}} \times \cancel{100}$

$\tt \to60 = \frac{x}{3} \times 2$

$\tt \to \: x = \frac{ \cancel{60} \times 3}{ \cancel2}$

$\tt \to \: x = 30 \times 3$

$\tt \to \: x = 90$

Therefore,

The child gave 90 correct answers.