GATE | GATE-CS-2017 (Set 2) | Question 1



A test has questions worth 100 marks totals. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?
(A) 12
(B) 15
(C) 18
(D) 19


Answer: (B)

Explanation: Let us consider all choices :


Choice A : 12 [Wrong] 
There is no integer x that satisfies below equation
12 * 3  + x * 11 = 100
x = 64/11 [Which is not an integer]

Choice B : 15 [Right] 
15 * 3  + x * 11 = 100
x = 55/11  = 5

Choice C : 18 [Wrong] 
There is no integer x that satisfies below equation
18 * 3  + x * 11 = 100
x = 46/11 [Which is not an integer]

Choice C : 19 [Wrong] 
There is no integer x that satisfies below equation
19 * 3  + x * 11 = 100
x = 43/11 [Which is not an integer] 


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