Question : In a test consisting of 120 questions, Anuradha answered 65% of the first 60 questions correctly. What percentage of the remaining questions does she need to answer correctly to score 75% in the test?
Option 1: 80
Option 2: 85
Option 3: 84
Option 4: 90
Correct Answer: 85
Solution : Let the remaining correct questions be $x$. According to the question, $60 \times \frac{65}{100} + x = 120 \times \frac{75}{100}$ ⇒ $39 + x = 90$ ⇒ $x = 90 - 39= 51$ So, the required percentage = $\frac{51}{60} \times 100$ = 85% Hence, the correct answer is 85.
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Question : In a test consisting of 140 questions, a candidate correctly answered 70% of the first 80 questions. What percentage of the remaining questions does the candidate need to correctly answer to score 60% on the test?
Option 1: $35\%$
Option 2: $46 \frac{2}{3}\%$
Option 3: $45 \frac{1}{3}\%$
Option 4: $40\%$
Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
Option 1: 65 and 85
Option 2: 55 and 85
Option 3: 65 and 75
Option 4: 60 and 80
Question : Identify the sentence that correctly uses the indefinite article.
Option 1: A taco is a traditional Mexican dish consisting of a tortilla topped with a filling.
Option 2: A taco is a traditional Mexican dish consisting of an tortilla topped with filling.
Option 3: An taco is a traditional Mexican dish consisting of tortilla topped with filling.
Option 4: A taco is traditional Mexican dish consisting of a tortilla topped with an filling.
Question : The HCF of two numbers 960 and 1020 is:
Option 1: 40
Option 2: 120
Option 3: 60
Option 4: 80
Question : During a journey of 120 km, Rahi drives the first 60 km at the speed of 60 km/hr, the next 30 km at 60 km/hr and the remaining 30 km at the speed of 30 km/hr. Determine the average speed.
Option 1: 48 km/hr
Option 2: 33.33 km/hr
Option 3: 50 km/hr
Option 4: 40 km/hr
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