Question
In a competitive examination containing 200 questions, 2
marks are awarded for every correct answer and 1 mark gets deducted for every wrong answer. If a student attempted all questions and obtained 97 marks, how many wrong answers must he have given?Solution
Let number of questions with right answers = x ∴ No. of questions with wrong answers = 200 – x ∴ Marks obtained for right answers = 2x ∴ Marks deducted for wrong answers = 200 – x ∴ 2x - (200 – x) = 97⇒ 3x = 200 + 97 ⇒ 3x = 297 ∴ x = 99 ∴ No. of questions with wrong answers (200 – 99) = 101
45Â Â Â Â 45.5Â Â Â Â Â Â 47 Â Â Â Â Â Â 49.5Â Â Â Â Â Â 53 Â Â Â Â Â Â ?
...18, 10, 12, 21, ?, 120
72, 79, 100, 135, 184, ?
52   83   114   ?   176    207
12, 19, 32, ?, 76, 107
Find the missing number in the given number series.
2, 5, 11, 23, 47, ?78, 80, 84, ?, 108, 140
8Â Â Â 8Â Â Â 12Â Â Â 24Â Â Â Â 60Â Â Â Â Â ?
119 × 13 + 150/100 × 850 =?
120, 115, 120, 135, 160, ?