Directions (1-5):Each Question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not. You should use the data and your knowledge of Mathematics to choose between the possible answers
Give answer (1):If the data in statement I alone are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
Give answer (2):If the data in statement II alone are sufficient to answer the question, while the data in statement I are not sufficient to answer the question.
Give answer (3):If the data either in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (4):If the data given in both the statement I and II together are not sufficient to answer the question.
Give answer (5):If the data in both the statement I and II together are necessary to answer the question.
1.The age of Anu and Vinay are in the ratio of 6: 5. What is the age of Vinay?
I.The ages of Anu & Shalu are in the ratio of 3: 2
II.After 6 years the ratio of Shalu’s & Vinay’s ages will be 7: 6.
2.In how many days can 5 men complete a piece of work?
I.16 children can complete the same piece of work in 48 days.
II.9 men can complete the same piece of work in 27 days.
3.What is a 3-digit number?
I.One-third of that number is less by 27 from half of that number.
II. One-fifth of that number is 20% of that number.
4.What is salary of C, in a group of A, B, C, D, E and F, whose average salary is Rs 60,600?
I.Total of the salaries of A and E is Rs 64,500.
II.Total of the salaries of B and F is Rs 52,600.
5.What will be the cost of carpeting the floor of a Square room in terms of the area of the room, A ?
I.If the cost of carpeting per square meter is Rsa and the fixed service charge will be Rs. C
II.If the cost of carpeting a room twice as large is Rs. 150 more than the original room.
6.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
7.If the numerator of a fraction is increased by 300% and the denominator of the fraction is increased by 200%, 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
8.Manish covers a distance of 36 km at the speed of 9 km/hr and a distance of 16 km at the speed of 8 km/hr. further, the covers a distance of 24 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
9.The mean of the marks obtained by 150 aspirants is 70. 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) 69
(2) 69.93
(3) 70
(4) Cannot be determined
(5) None of these
10.The difference between a two-digit number and the number obtained by interchanging the two digits of the numbers is 45. 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
Give answer (1):If the data in statement I alone are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
Give answer (2):If the data in statement II alone are sufficient to answer the question, while the data in statement I are not sufficient to answer the question.
Give answer (3):If the data either in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (4):If the data given in both the statement I and II together are not sufficient to answer the question.
Give answer (5):If the data in both the statement I and II together are necessary to answer the question.
1.The age of Anu and Vinay are in the ratio of 6: 5. What is the age of Vinay?
I.The ages of Anu & Shalu are in the ratio of 3: 2
II.After 6 years the ratio of Shalu’s & Vinay’s ages will be 7: 6.
2.In how many days can 5 men complete a piece of work?
I.16 children can complete the same piece of work in 48 days.
II.9 men can complete the same piece of work in 27 days.
3.What is a 3-digit number?
I.One-third of that number is less by 27 from half of that number.
II. One-fifth of that number is 20% of that number.
4.What is salary of C, in a group of A, B, C, D, E and F, whose average salary is Rs 60,600?
I.Total of the salaries of A and E is Rs 64,500.
II.Total of the salaries of B and F is Rs 52,600.
5.What will be the cost of carpeting the floor of a Square room in terms of the area of the room, A ?
I.If the cost of carpeting per square meter is Rsa and the fixed service charge will be Rs. C
II.If the cost of carpeting a room twice as large is Rs. 150 more than the original room.
6.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
7.If the numerator of a fraction is increased by 300% and the denominator of the fraction is increased by 200%, 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
8.Manish covers a distance of 36 km at the speed of 9 km/hr and a distance of 16 km at the speed of 8 km/hr. further, the covers a distance of 24 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
9.The mean of the marks obtained by 150 aspirants is 70. 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) 69
(2) 69.93
(3) 70
(4) Cannot be determined
(5) None of these
10.The difference between a two-digit number and the number obtained by interchanging the two digits of the numbers is 45. 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
Answers with Explanation:
