Directions (1-5): Study the following pie-charts carefully and answer the questions given below:
Number of students studying in different colleges in the year 2013 and 2014 from state 'A'
1. What was the percentage increase in the number of students in college C5 in the year 2014 as compared to the year 2013?
(a)45%
(b)40%
(c)48%
(d)50%
(e)42%
2. In which of the following colleges was the per cent increase in the number of students the minimum in 2014 from 2013?
(a)C2
(b)C6
(c)C4
(d)C7
(e)C1
3. In which college there was decrease in the number of students from 2013 to 2014?
(a)C6
(b)C1
(c)C4
(d)C2
(e)C3
4. In the year 2013, the number of students studying in college C1 and C2 together is approximately what percent of the number of students studying in these colleges together in 2014?
(a)78%
(b)75%
(c)72%
(d)81%
(e)88%
5. What was the ratio of the number of students studying in college C6 in year 2013 to that in 2014 in the same college?
(a)25 : 26
(b)25 : 27
(c)23 : 26
(d)22 : 27
(e)23 : 25
Directions (6-10): Each question below is followed by two statements A and B. You have 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:
(a)if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
(b)if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
(c)if the both statement A and B together are needed to answer the question.
(d)if either the statement A alone or B alone is sufficient to answer the question.
(e)if you cannot get the answer from the statements A and B together, but needed even more data.
6. What is the perimeter of a semicircle?
A. The radius of the semi-circle is half of the length of the rectangle.
B. Area of rectangle is 234 cm2.
7. What is the ratio of two number N1 and N2?
A. 30% of N1 is 40% of 90.
B. 20% of N2 is 36% of 50.
8. What are the marks scored by Atul in Science?
A. Marks scored by Atul in Science is 40% of the marks obtained by him in Maths i.e 80.
B. Marks scored by Atul in Science and English is 180.
9. What will be Suraj’s age after eight years?
A. The ratio between Kamya’s and Suraj’s present age is 4 : 7 respectively.
B. Kamya is 15 yr younger than Suraj.
10. What is the minimum passing percentage in a test?
A. Raju scored 162 marks in a test and failed by 104 marks.
B. The maximum marks of the test are 538 more marks obtained by Raju
Answers:
1. What was the percentage increase in the number of students in college C5 in the year 2014 as compared to the year 2013?
(a)45%
(b)40%
(c)48%
(d)50%
(e)42%
1. d
Number of students in college C5
In 2014 = 15/100 * 30000 = 4500
In 2013, 12/100 * 25000 = 3000
Required % Increase = (4500 - 3000)/3000 * 100 = 50%
2. In which of the following colleges was the per cent increase in the number of students the minimum in 2014 from 2013?
(a)C2
(b)C6
(c)C4
(d)C7
(e)C1
2. b
For 2013:
C1 ---- 17 × 250 = 4250
C2 ---- 20 × 250 = 5000
C3 ---- 21 × 250 = 5250
C4 ---- 10 × 250 = 2500
C5 ---- 12 × 250 = 3000
C6 ---- 15 × 250 = 3750
C7 ---- 5 × 250 = 1250
For 2014:
C1 ---- 16 * 300 = 4800
C2 ---- 22 * 300 = 6600
C3 ---- 20 * 300 = 6000
C4 ---- 8 * 300 = 2400
C5 ---- 15 * 300 = 4500
C6 ---- 13 * 300 = 3900
C7 ---- 6 * 300 = 1800
Percentage Increase
C1 ---- 12.94%
C2 ---- 32%
C3 ---- 14.28%
C4 ---- Decrease
C5 ---- 50%
C6 ---- 4%
C7 ---- 44%
Hence, minimum increase is in the college C6
3. In which college there was decrease in the number of students from 2013 to 2014?
(a)C6
(b)C1
(c)C4
(d)C2
(e)C3
3. c
Hence, decrease is in the college C4.
4. In the year 2013, the number of students studying in college C1 and C2 together is approximately what percent of the number of students studying in these colleges together in 2014?
(a)78%
(b)75%
(c)72%
(d)81%
(e)88%
4. d
Required % = [(17 + 20) * 250]/[(16 + 22) * 300] * 100 = 81% approx.
5. What was the ratio of the number of students studying in college C6 in year 2013 to that in 2014 in the same college?
(a)25 : 26
(b)25 : 27
(c)23 : 26
(d)22 : 27
(e)23 : 25
5. a
Required ratio = 15 × 250 : 13 × 300 = 25 : 26
Directions (6-10): Each question below is followed by two statements A and B. You have 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:
(a)if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
(b)if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
(c)if the both statement A and B together are needed to answer the question.
(d)if either the statement A alone or B alone is sufficient to answer the question.
(e)if you cannot get the answer from the statements A and B together, but needed even more data.
6. What is the perimeter of a semicircle?
A. The radius of the semi-circle is half of the length of the rectangle.
B. Area of rectangle is 234 cm2.
6. e
Combining the both statements A and B will not give the perimeter of semicircle.
7. What is the ratio of two number N1 and N2?
A. 30% of N1 is 40% of 90.
B. 20% of N2 is 36% of 50.
7. c
From A,
30/100 N1 = 40/100 * 90
N1 = 120
From B,
20/100 N2 = 36/100 * 50
N2 = 90
Combining both statements, A & B:
N1/N2 = 120/90 = 4/3 = 4:3
8. What are the marks scored by Atul in Science?
A. Marks scored by Atul in Science is 40% of the marks obtained by him in Maths i.e 80.
B. Marks scored by Atul in Science and English is 180.
8. a
From statement A,
Required answer = 40/100 * 82 = 32
9. What will be Suraj’s age after eight years?
A. The ratio between Kamya’s and Suraj’s present age is 4 : 7 respectively.
B. Kamya is 15 yr younger than Suraj.
9. c
From both statements
K/S=4/7
K = S – 15 ⇒ S – 35
∴ S + 8 = 43
Hence, data given in both statements are necessary
10. What is the minimum passing percentage in a test?
A. Raju scored 162 marks in a test and failed by 104 marks.
B. The maximum marks of the test are 538 more marks obtained by Raju.
10. c
From statement I
Minimum passing marks = 162 + 104 = 266
From statement II
Maximum marks = 538 + 162 = 700
Required% =266/700×100=38%
Hence, data given in both statements are necessary
