Question : In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentages of the different centres are 20%, 30%, 35%, 40%, 50% and 75%, respectively. The pass percentage of the entrance examination is: (correct to the nearest integer)
Option 1: 59%
Option 2: 43%
Option 3: 53%
Option 4: 50%
Correct Answer: 50%
Solution : Passing percentage = $\frac{\text{Number of students passed in the examination at all centres}}{\text{Total number of students appeared}}\times 100$ ⇒ Passing percentage = $\frac{\text{20% of 25 + 30% of 30 + 35% of 40 + 40% of 45 + 50% of 60 + 75% of 100}}{25 + 30 + 40 + 45 + 60 + 100} × 100$ = $\frac{5 + 9 + 14 + 18 + 30 + 75}{300} × 100$ = $\frac{151}{300} × 100$ = $50.33\% \approx 50\%$ Hence, the correct answer is 50%.
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Question : A class has five sections that have 25, 30, 40, 45, and 60 students, respectively. The pass percentages of these sections are 20%, 30%, 35%, 40%, and 100% respectively. The pass percentage of the entire class is:
Option 1: 87%
Option 2: 63%
Option 4: 79%
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 35, ?, 40, 47, 45, 53
Option 1: 37
Option 2: 43
Option 3: 42
Option 4: 41
Question : The difference between a discount of 30% on Rs. 2,000 and two successive discounts of 25% and 5% on the same amount is:
Option 1: Rs. 30
Option 2: Rs. 35
Option 3: Rs. 25
Option 4: Rs. 40
Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 21 : 40 :: 16 : ? :: 26 : 50
Option 1: 25
Option 2: 40
Option 3: 30
Option 4: 35
Question : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.
Option 1: 35
Option 2: 25
Option 3: 45
Option 4: 75
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