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Directions (1-5): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the state are sufficient to answer the question. Read both the statement and
Give answer (1) if the data in statement I alone are sufficient to answer the question, while data in statement II alone are not sufficient to answer the question.
Give answer (2) if the data in statement II alone are sufficient to answer the question, while data in statement I alone are not sufficient to answer the question.
Give answer (3) if the data either in statement I alone or statement II alone are sufficient to answer the question.
Give answer (4) if the data even in both the statement I and II are not sufficient to answer the question.
Give answer (5) if the data in both statements I and II together are necessary to answer the question.

Q1. What is the area of the circle?
I. Diameter of the circle is 14% of its circumference.
II. Circumference of circle is 91 cm.

Q2. What is the speed of the train whose length is 450 metres?
I. The train crosses a standing man in 20 seconds.
II. The train crosses a platform of equal length in 40 seconds.

Q3. What is the cost of 9 dozen bananas(in terms of X and Y)?
I. Cost of 24 bananas and 6 apples is Rs X.
II. Cost of 36 bananas and 24 apples is RS Y.

Q4. What is Rajesh’s present age in years?
I. Rajesh’s present age is more than his sister’s present age by 5 years.
II. Five years hence Mohan’s age will be one-third of his sister’s age that time.

Q5. What is a two-digit number?
I. The number obtained by interchanging the digits of the number is greater than the original number by 63.
II. The sum of the two digits of the number is 13.

Q6. In how many different ways can the letters of the word ‘TROPHY’ be arranged?
(1) 840                (2) 720             (3) 360             (4) 120             (5) None of these

Q7. If the numerator of a fraction is increased by 500% and the denominator of the fraction is decreased by 300%, the resultant fraction is 3/5. What is the original fraction?
(1) 9/17                (2) 9/20             (3) 6/17                (4) 4/15             (5) None of these

Q8. Manish covers a distance of 45 km at the speed of 9 km/hr and a distance of 24 km at the speed of 8 km/hr. Further, he covers a distance of 32 km at the speed of 4 km/hr. What is his average speed in covering the whole distance?
(1) 5.5 km/hr               (2) 6 km/hr             (3) 6.3 km/hr               (4) 6.9 km/hr             (5) None of these

Q9. The mean of the marks obtained by 200 aspirants is 100. If the marks obtained by one of the aspirants was incorrectly calculated as 85, whereas the actual marks obtained by him was 75, what is the correct mean of the marks obtained by the aspirants?
(1) 97.55                (2) 98.75             (3) 99.95                (4) Cannot be determined             (5) None of these

Q10. The difference between a two-digit number and the number obtained by interchanging the two digits of the numbers is 54. What is the difference between the two digits of the number?
(1) 6                 (2) 4             (3) 5                 (4) Cannot be determined             (5) None of these

Solution
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