Directions (1-5): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer—
(1) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
(2) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
(3) If both statements I and II together are needed to answer the question.
(4) If either the statement I alone or the statement II alone is sufficient to answer the question.
(5) If neither the statement I nor the statement II are together is sufficient to answer the question.
1. What is the value of A + B?
I. A = 50% of B
II. 2A + 2B = 40
2. How fast can Ram row the boat in still water?
I. He takes 1 minute to row upstream for a distance of 120 m.
II. He takes 20 seconds to row downstream for a distance of 120 m.
3. Find the rate of simple interest if
I. The principal triples in 9 years.
II. The principal is Rs 1000.
4. What is the area of rectangle ABCD?
I. Length of the rectangle is 16m and its breadth is 2 m less than it.
II. Perimeter is more than 20.
5. What is the value of 2A + 3B?
I. A + 3B = 60
II. A is twice of B.
Directions (6-10): The given pie chart show the distribution of total IT professionals working in U.S. from different countries and the bar graph shows the percentage of male IT professionals. Total number of IT professionals working in U.S. is 24 lakhs.
6. What is the total number of female IT professionals working in US of Indian-origin?
(1)125300
(2)115200
(3)172350
(4)164400
(5) None of these
7. What is the ratio between number of Chinese-origin male IT professionals and Japan-origin female IT professionals?
(1) 5 : 2
(2) 8 : 5
(3) 7 : 4
(4) 9 : 5
(5) None of these
8. The number of male IT professionals from the US are what percentage of number of female IT professionals from US?
(1) 170/3%
(2) 200/3%
(3) 230/3%
(4) 260/3%
(5) None of these
9. What is the total number of female employees working in US as IT professionals?
(1)1135000
(2)1024000
(3)1233600
(4)1286440
(5) None of these
10. What is the difference between total number of male IT professionals and total number of female IT professionals working in US?
(1)56300
(2)58600
(3)62400
(4)67200
(5) None of these
Directions (11-15): Study the following information carefully and answer the questions.
In a class 200 students are there. One-fifth of the total students passed in only Hindi. one-eighth of the total students passed in only English and one-fourth of the total students passed in only Sanskrit. The number of students who passed in Hindi and English but failed in Sanskrit is equal to the number of students who passed in English and Sanskrit but failed in Hindi, which is equal to 10% of total number of students. Number of students who passed in Hindi and Sanskrit but failed in English is 15% of total number of students. Every student passed in at least one subject.
11. How many students passed in exactly one subject?
(1)115
(2)185
(3)100
(4)85
(5) None of these
12. How many students passed in all three subjects?
(1)12
(2)15
(3)20
(4)30
(5) None of these
13. How many students passed in at least two subjects?
(1)115
(2)185
(3)100
(4)85
(5) None of these
14. How many students passed in at most two subjects?
(1)115
(2)185
(3)100
(4)85
(5) None of these
15. What is the difference between number of students passed in Hindi and number of students passed in English?
(1)15
(2)20
(3)25
(4)30
(5) None of these
ANSWERS
1. 2;
2(A + 2) = 40
A + 2 = 20
2. 3
Using I:
Speed upstream = 120/60 = 2 m/s
Using II:
Speed downstream = 120/20 = 6 m/s
Using 2oth:
Speed of boat in still water = 2 m/s
3. 1
Using I:
Let Principal is Rs x.
It 2ecome Rs 3x in 9 years, so interest gained in 9 years is Rs 2x. So,
SI = PRT/100
(x * R * 9)/100 = 2x
R = 200/9%
4. 1
5. 4
Both statements are needed to find the value of 2A + 32.
6. 2;
Total I.T. professionals of Indian origin
= 16/100 * 24 = 3.84 lakhs
Female is 30% ie 3.84 * 30/100 = 1.152 lakhs
7. 4
Male from China = 12/100 * 24 * 60/100 = 1.728 lakhs
Female form Japan = 8/100 * 24 * 50/100 = 0.96 lakhs
Ratio = 1.728/0.96 = 9 : 5
8. 2;
Male from US is 40%.
So female from US is 60%
% = 40/60 * 100 = 200/3%
9. 3
Total female = 24 * (60/100 * 60/100 + 16/100 * 30/100 + 4/100 * 45/100 + 8/100 * 50/100 + 12/100 * 40/100)
= 24 × {0.6 × 0.6 + 0.16 × 0.3 + 0.04 × 0.45 + 0.08 × 0.5 + 0.12 × 0.4
= 24 × {0.36 + 0.048 + 0.018 × 0.04 + 0.048}
= 24 × 0.514
= 12.336 lakhs
10. 4
Total I.T. professionals = 2400000
Female = 1233600
Male = 1166400
Difference = 1233600 – 1166400 = 67200
(11-15):
11. 1
12. 2
13. 4
14. 2
15. 3
Give answer—
(1) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
(2) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
(3) If both statements I and II together are needed to answer the question.
(4) If either the statement I alone or the statement II alone is sufficient to answer the question.
(5) If neither the statement I nor the statement II are together is sufficient to answer the question.
1. What is the value of A + B?
I. A = 50% of B
II. 2A + 2B = 40
2. How fast can Ram row the boat in still water?
I. He takes 1 minute to row upstream for a distance of 120 m.
II. He takes 20 seconds to row downstream for a distance of 120 m.
3. Find the rate of simple interest if
I. The principal triples in 9 years.
II. The principal is Rs 1000.
4. What is the area of rectangle ABCD?
I. Length of the rectangle is 16m and its breadth is 2 m less than it.
II. Perimeter is more than 20.
5. What is the value of 2A + 3B?
I. A + 3B = 60
II. A is twice of B.
Directions (6-10): The given pie chart show the distribution of total IT professionals working in U.S. from different countries and the bar graph shows the percentage of male IT professionals. Total number of IT professionals working in U.S. is 24 lakhs.
6. What is the total number of female IT professionals working in US of Indian-origin?
(1)125300
(2)115200
(3)172350
(4)164400
(5) None of these
7. What is the ratio between number of Chinese-origin male IT professionals and Japan-origin female IT professionals?
(1) 5 : 2
(2) 8 : 5
(3) 7 : 4
(4) 9 : 5
(5) None of these
8. The number of male IT professionals from the US are what percentage of number of female IT professionals from US?
(1) 170/3%
(2) 200/3%
(3) 230/3%
(4) 260/3%
(5) None of these
9. What is the total number of female employees working in US as IT professionals?
(1)1135000
(2)1024000
(3)1233600
(4)1286440
(5) None of these
10. What is the difference between total number of male IT professionals and total number of female IT professionals working in US?
(1)56300
(2)58600
(3)62400
(4)67200
(5) None of these
Directions (11-15): Study the following information carefully and answer the questions.
In a class 200 students are there. One-fifth of the total students passed in only Hindi. one-eighth of the total students passed in only English and one-fourth of the total students passed in only Sanskrit. The number of students who passed in Hindi and English but failed in Sanskrit is equal to the number of students who passed in English and Sanskrit but failed in Hindi, which is equal to 10% of total number of students. Number of students who passed in Hindi and Sanskrit but failed in English is 15% of total number of students. Every student passed in at least one subject.
11. How many students passed in exactly one subject?
(1)115
(2)185
(3)100
(4)85
(5) None of these
12. How many students passed in all three subjects?
(1)12
(2)15
(3)20
(4)30
(5) None of these
13. How many students passed in at least two subjects?
(1)115
(2)185
(3)100
(4)85
(5) None of these
14. How many students passed in at most two subjects?
(1)115
(2)185
(3)100
(4)85
(5) None of these
15. What is the difference between number of students passed in Hindi and number of students passed in English?
(1)15
(2)20
(3)25
(4)30
(5) None of these
ANSWERS
1. 2;
2(A + 2) = 40
A + 2 = 20
2. 3
Using I:
Speed upstream = 120/60 = 2 m/s
Using II:
Speed downstream = 120/20 = 6 m/s
Using 2oth:
Speed of boat in still water = 2 m/s
3. 1
Using I:
Let Principal is Rs x.
It 2ecome Rs 3x in 9 years, so interest gained in 9 years is Rs 2x. So,
SI = PRT/100
(x * R * 9)/100 = 2x
R = 200/9%
4. 1
5. 4
Both statements are needed to find the value of 2A + 32.
6. 2;
Total I.T. professionals of Indian origin
= 16/100 * 24 = 3.84 lakhs
Female is 30% ie 3.84 * 30/100 = 1.152 lakhs
7. 4
Male from China = 12/100 * 24 * 60/100 = 1.728 lakhs
Female form Japan = 8/100 * 24 * 50/100 = 0.96 lakhs
Ratio = 1.728/0.96 = 9 : 5
8. 2;
Male from US is 40%.
So female from US is 60%
% = 40/60 * 100 = 200/3%
9. 3
Total female = 24 * (60/100 * 60/100 + 16/100 * 30/100 + 4/100 * 45/100 + 8/100 * 50/100 + 12/100 * 40/100)
= 24 × {0.6 × 0.6 + 0.16 × 0.3 + 0.04 × 0.45 + 0.08 × 0.5 + 0.12 × 0.4
= 24 × {0.36 + 0.048 + 0.018 × 0.04 + 0.048}
= 24 × 0.514
= 12.336 lakhs
10. 4
Total I.T. professionals = 2400000
Female = 1233600
Male = 1166400
Difference = 1233600 – 1166400 = 67200
(11-15):
11. 1
12. 2
13. 4
14. 2
15. 3
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