Directions (1-5): Study the following graph carefully and answer the questions that follow.
Q1. Total runs scored by India and Australia in match 4 together is approximately what percentage of the total runs scored by England in all the five matches together?
(a) 42
(b) 18
(c) 36
(d) 24
(e) 28
Q2. In which match, is the difference between the runs scored by Australia and England second lowest?
(a) Match 1
(b) Match 2
(c) Match 3
(d) Match 4
(e) Match 5
Q3. In which match the total runs scored by India and England together is the third highest/lowest?
(a) Match 1
(b) Match 2
(c) Match 3
(d) Match 4
(e) Match 5
Q4. What is the respective ratio between the runs scored by India in match 5 Australia in match 1 and England in match 2?
(a) 11 : 13 : 7
(b) 11 : 7 : 13
(c) 11 : 3 : 9
(d) 11 : 13 : 9
(e) None of these
Q5. What are the average runs scored by all the three teams in match 3 together?
(a) 280
(b) 270
(c) 275
(d) 285
(e) None of these
Directions (6-10): Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer
(a) If the statement I alone is sufficient to answer the question but the statement II alone is not sufficient
(b) If the statement II alone is not sufficient to answer the question but the statement I alone is not sufficient
(c) If both statements I and II together are needed to answer the question
(d) If either the statement I alone or statement II alone is sufficient to answer the question
(e) If you cannot get the answer from the statements I and II together but need even more data
Q6. What is the three digit number?
I. The three digit number is divisible by 9.
II. The first digit and third digit is 6.
Q7. What is the two digit number?
I. The sum of the digits is 6.
II. The digit in the ten’s place is double the digit in the unit’s place.
Q8. What is the number?
I. 25% of that number is one-fourth of that number.
II. Three-fourth of that number is less by 14 of that number.
Q9. What is the rate of interest per annum on an amount of Rs. 8000 deposited in a bank?
I. The simple interest for 3 yr is Rs. 2880.
II. The difference between the simple interest and compound interest is Rs. 359.424.
Q10. What is the two digit number?
I. The difference between the two digits of the number is 0.
II. The sum of the two digits of the number is 18.
Directions (11-15): Study the graph to answer these questions.
An ice-cream company prepares three different flavours Choco Chips, Blueberry and American Nuts. The production of the three flavours over a period of six years has been expressed in the bar graph provided below.
Product of three different flavours of ice-creams Choco Chips, Blueberry and American Nuts by a company over the years.
Q11. For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Blueberry?
(a) 2007, decrease
(b) 2008, increase
(c) 2009, decrease
(d) 2010, increase
(e) None of the above
Q12. For which flavour was the average annual production maximum in the given period?
(a) For Choco Chips
(b) For Blueberry
(c) For American Nuts
(d) Both Choco Chips and Blueberry
(e) None of the above
Q13. What is the difference between the average production of flavour Choco Chips in 2005, 2006 and 2007 and the average production of flavour Blueberry in 2008, 2009 and 2010?
(a) 500000
(b) 25000
(c) 240000
(d) 80000
(e) None of the above
Q14. Which year shows the highest production of ice-cream?
(a) 2005
(b) 2007
(c) 2009
(d) 2010
(e) None of the above
Q15. The total production of ice-cream in 2009 is what percent of the total production of ice-cream flavours Blueberry and American Nuts in 2005 and 2007 combined?
(a) 14.50%
(b) 80.25%
(c) 65.12%
(d) 73.80%
(e) None of the above
Solutions
S2. Ans.(c)
Sol. Difference between the runs scored by Australia and England in
Match 1 = 260 - 160 = 100
Match 2 = 330 - 180 = 150
Match 3 = 310 - 230 = 80
Match 4 = 270 - 220 = 50
Match 5 = 300 - 150 = 150
∴ Second lowest difference is in match 3
S3. Ans.(a)
Sol. Total runs scored by India and England in
Match 1 = 320 + 160 = 480
Match 2 = 240 + 180 = 420
Match 3 = 270 + 230 = 500
Match 4 = 190 + 270 = 460
Match 5 = 220 + 300 = 520
∴ Third highest/lowest score is in match 1.
S4. Ans.(d)
Sol. Required ratio = 220 : 260 : 180 = 11 : 13 : 9
S6. Ans.(c)
Sol. From statement II
Number = 6 × 6
But from statement I, it must be divisible by 9.
∴ x = 6 (using divisibility rule of 9)
S7. Ans.(c)
Sol. From statement II
Let digit at unit’s place = x
Then, digit at ten’s place = 2x
From statement I
x + 2x = 6 ⇒ 3x = 6
x = 2
Hence, we can find the number using both the statement together.
S8. Ans.(b)
Sol. The number can be found using only statement II.
Number -3/4 of number = 14
Hence, from this equation we can find the answer.
S10. Ans.(c)
Sol. If digits of the two digit number are x and y
From statement I x - y = 0 …(i)
From statement II x + y = 18 …(ii)
On solving both the equations (i) and (ii), we get
x = 9, y = 9
Thus, the number is 99
Hence the both the statements together are sufficient to answer the question.
S11. Ans.(a)
Sol. The percentage of rise/fall in production of flavour Blueberry over the year
S14. Ans.(b)
Sol. Production of ice-cream in 2005 = 50 + 55 + 45 = 150
Production of ice-cream in 2007 = 55 + 50 + 60 = 165
Production of ice-cream in 2009 = 60 + 50 + 45 = 155
Production of ice-cream in 2010 = 50 + 55 + 40 = 145
So, 2007 has highest production.
S15. Ans.(d)
Sol. Total production of ice-cream in 2009 = 60 + 50 + 45 = 155
Total production of ice-cream flavours Blueberry and American Nuts in 2005 and 2007 combined = 100 + 110 = 210
∴ Required percentage =155/210×100%=73.80%
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