GP Recommends that you read the following before you read this post:
7 Rules to Excel in QA
Are you Choosing the Right Questions in your Mocks
The single-most unpardonable, gravest sin you can commit in CAT
Things you must-do after every mock you take.
This is the last paper in the “How I attempted Mock CAT QADI” series First off, I know this has been long due and was almost missed out by me. So without wasting time, let us get get down to the paper.
Section – I
Q1. Two articles were sold at a profit of 25% each. The ratio of the profits made on the two articles was 6 : 7. If the average selling price of the two articles was `3510, what was the absolute difference (in `) between the profits earned on the two articles?
(a) 100 (b) 108 (c) 132 (d) 120
My approach:Q1. PLD, R1
Average SP of the two articles = Rs 3510, thus total SP = 2 x 3510 = Rs 7020
Profit = 25% 
Margin = 20%
Total profit on sale of the two atricles = 20% of 7020 = Rs 1404
Ratio of Profit on the two articles = 6 : 7
Difference in profit of the two articles = 
Correct Answer: Choice (b) 108
Q2. How many ordered pairs (a, k) are there for which the system of equations 3x + ay = k and
ax + 12y = 48 will have infinite solutions?
(a) 4 (b) 1 (c) 2 (d) Infinite
My approach: Equations, R1
For infinite solutions: 
From we get
From we get k = 4a
Thus there will be two sets values of (a,k)
Correct Answer: Choice (c) 2
Directions for questions 3 to 5: Answer the questions on the basis of the information given below.
The bar chart given below shows the revenue (in ` lakhs), the expenditure (in ` lakhs) and the number of employees (in ‘00) of a company that produces wheels, from the year 2006 to the year 2011.
Q3. In each of the given years, the number of units of wheels produced by the company was ten times the number of employees. In which year was the expenditure incurred per unit of wheel produced the lowest?
(a) 2008 (b) 2009 (c) 2010 (d) 2011
Q4. The total expenditure of the company during the given period was what percent of the total revenue?
(a) 75% (b) 66.67% (c) 80% (d) 87.5%
Q5. In which of the following years was the percentage increase in the revenue as compared to the previous year the highest?
(a) 2008 (b) 2009 (c) 2010 (d) 2011
My approach: Q3-5. DI set, R2
Noted on the rough sheet under DI:
Q 3–5 Multiple bar chart Easy numbers To be attempted
Q6. Rene cuts out a square of the maximum possible area from a piece of paper which is in the shape of a quadrant of a circle of radius cm. She then rolls the square sheet along one of its sides to form a cylinder. Find the radius (in cm) of the cylinder.
(a) (b) (c) (d)
My approach: Q6. Mensuration, R1
For a square of maximum area, Diagonal of square = radius of the quadrant =
Side of square = Circumference of cylinder
Moved to the choices at this stage,
The correct answer should have in the numerator and in the denominator
Correct Answer: Choice (d)
Q7. In the figure given below, and AC : BC = 3 : 2. If the area of the triangle ABD is 20 cm2, what is the area (in cm2) of the triangle BDC?
(a) 20 (b) 24 (c) 36 (d) 16
My approach: Geometry, marked for Review to be attempted in R2
Q8. Pie Chart – I shows the percentage break-up of the scoring shots played by the Indian Cricket team during a test innings while Pie Chart – II shows the percentage break-up of the scoring shots played by Sachin Tendulkar during the same innings.
A total of 12 sixes were hit during the Indian innings and 3 of them were hit by Sachin Tendulkar. What was the ratio of the runs scored by the team through 4’s to the runs scored by Sachin Tendulkar through 2’s?
(a) 4 : 1 (b) 4 : 3
(c) 2 : 1 (d) Cannot be determined
My approach: Pie Chart, Calculation based, R1
For Sachin: Number of 6 scoring shots = 3, thus Number of 2 scoring shots = 9
For the Team: Number of 6 scoring shots = 12, thus Number of 4 scoring shots = 18
Ratio of runs scored by team in 4s to runs scored by Sachin in 2s = 18×4 : 9×2 = 4 : 1
Correct Answer: Choice (a) 4 : 1
Q9. In the figure given below, SC is a tangent to the bigger circle. If AC is the diameter of the bigger circle, what is the measure of ÐQPR?
(a) 30° (b) 40° (c) 70° (d) 60°
My approach: Geometry, marked for review to be attempted in R2
Q10. If (24)k is a factor of 5! × 10! × 15!, what is the largest possible integer value of k?
(a) 5 (b) 7 (c) 11 (d) 4
My approach: Numbers R1
24 = 23 x 3, hence to find the highest power of 24 that will complete divide 5! x 10! x 15! we will need to find the highest power of 23 or (highest power of 2) / 3
Highest power of 2 that will completely divide 5! = 3
Highest power of 2 that will completely divide 10! = 8
Highest power of 2 that will completely divide 15! = 11
Highest power of 2 that will completely divide 5! x 10! x 15! = 3 + 8 + 11 = 22
Highest power of 23 that will completely divide 5! x 10! x 15! = 22/3 = 7
Correct Answer: Choice (b) 7
Q11. The product of three natural numbers – N1, N2 and N3 – is twelve times their H.C.F. How many ordered triplets (N1, N2, N3) are possible?
(a) 12 (b) 15 (c) 18 (d) 21
My approach: Number System will need to make cases, marked for Review to be attempted in R2.
Q12. The product of the first five terms of an increasing arithmetic progression is . If the 1st, 2nd and 4th terms of the arithmetic progression are in geometric progression, what is the sum of the 1st term and the 5th term of the arithmetic progression?
(a) 4 (b) 2 (c) 6 (d) 8
My approach: Progression looks calculation intensive, marked for Review to be attempted in R2
Q13. A circle is inscribed in a regular hexagon and the regular hexagon is inscribed in a circle. By what percentage is the area of the bigger circle more than that of the smaller circle?
(a) 25 (b) 30 (c) 40 (d) None of these
My approach: Mensuration R1
Let the side of the regular hexagon = 2r = radius of outer circle
Area of outer circle = 4πr2
Radius of inner circle = half of distance between parallel sides
Side of hexagon will make a 30, 60, 90 right triangle as shown.
Thus radius of inner circle = r√3
Area of inner circle = 3πr2
Hence area of bigger circle is 33.33% is more than that of the smaller circle.
Correct Answer: Choice (d) None of these
Q14. The mean, median and mode temperatures of the seven days of a particular week in a city were 5.429°C (approximately), 7°C and 9°C respectively. If the temperature (in °C) on each of the seven days was a positive integer, then which of the following could not be the temperature (in °C) on any of the seven days? (The data set contains only one mode)
(a) 1 (b) 3 (c) 2 (d) None of these
My approach: Numbers, R1
5.429 =
Thus the sum of temperature of the week =
Median = 7 and Mode = 9, thus 9 is the temperature for at least 2 days
Option 1 is not acceptable because it leads to two modes – 2 and 9 while the question mentions that there is only one mode.
Correct Answer: Choice (b) 3
Q15. Given below is the Speed-Time graph of a car.
Find the average speed of the car in the first 50 seconds.
(a) 25 m/s (b) 30 m/s (c) 37.5 m/s (d) 50 m/s
My approach: TSD Graph, R1
Distance covered by the car = area under the graph
Area under the graph = Area of 2 triangles + area of rectangle
Area under the graph = 375 + 1000 + 125 = 1500 m
Average speed = 1500/50 = 30 m/s
Correct Answer: Choice (b) 30 m/s
Q16. Find the product of all the real roots of the quadratic equation x2 – |x| – 12 = 0.
(a) 9 (b) –12 (c) – 36 (d) – 16
My approach: Quadratic Equation, R1
x2 – |x| -12 = 0 x2 – x -12 = 0 and x2 + x -12 = 0
x2 – x -12 = 0 x2 – 4x + 3x -12 = 0 x = 4 and -3
x2 + x -12 = 0 x2 + 4x – 3x -12 = 0 x = -4 and 3
Substituting x = and in x2 – |x| -12 = 0 we find that only satisfies
Thus product of real roots = -16
Correct Answer: Choice (d) -16
Directions for questions 17 to 19: Answer the questions on the basis of the information given below.
The table given below shows the GDP (in Rs crores) of five Indian states and the percentage contribution of E-business to their GDP in FY 2011-12. The line graph shows the contributions (in Rs crores) of the three major components of E-business – ‘E-Commerce’, ‘Internet Advertising’ and ‘Freelancing’ – for each state in FY 2011-12.
Q17. For which state is the sum of the contributions made by the three major components of E-business third highest among the five states in FY 2011-12?
(a) Bihar (b) Gujarat (c) Karnataka (d) Rajasthan
Q18. The sum of the contributions made by the three major components of E-business is expected to grow by 10% in FY 2012-2013 over the previous year in Gujarat. By what percentage should the contribution of the rest of the components of E-business change so that the percentage contribution of E-business to the GDP in FY 2012-2013 remains the same as that in FY 2011-2012?
(a) 6.31 (b) 11.11
(c) 9.09 (d) Cannot be determined
Q19. Freelancing contributes approximately what percent to E-business for Karnataka in
FY 2011-12?
(a) 7 (b) 11 (c) 17 (d) 23
My approach: 17-19. DI set, R2
Noted on the rough sheet under DI:
17–19 Multiple line chart Easy numbers To be attempted
Q20. What is the number of solution(s) of the equation (e = 2.72)
(a) 1 (b) 2 (c) 3 (d) 4
My approach: Not sure how to solve this question may need to make cases marked for Review to be attempted in R2.
Q21. During one of the shows in ‘Jemini’ circus, four hats are picked randomly from a trunk that contains 3 red hats, 5 black hats, 4 blue hats and 6 yellow hats, and are given to four dwarfs such that each dwarf gets exactly one hat. All the dwarfs throw their hats in the air simultaneously. Then each dwarf comes under exactly one of the hats, not necessarily the one thrown by him, such that the hat fits snugly on his head. What is the probability that at least two dwarfs are wearing the hats of same colour now and no dwarf has the same hat on his head that he had thrown in the air?
(a) 45/136 (b) 91/136 (c) 83/272 (d) None of these
My approach: I will most probably not be able to solve this, leave. R3
Q22. In how many ways can 4 boys and 5 girls be seated in a row such that no two boys sit together?
(a) 3600 (b) 2880 (c) 43200 (d) 362880
My approach: P&C, have done this kind of questions earlier, R1.
5 girls can be seated in 5! ways = 120 ways
There are hence 6 places for 4 boys to and they can sit in 6 x 5 x 4 x 3 = 360 ways.
Hence total number of ways = 120 x 360 = 120 x 120 x 3 = 1440 x 3 > 42000
Correct Answer: Choice (c) 43200
Q23. The number of positive integer solutions of the equation is:
(a) 2 (b) 3 (c) 4 (d) More than 4
My approach: Trignometry, can be solved by substituting values of “n”, could take time hence marked for review for attempt in R2.
Q24. Which of the following numbers cannot be expressed as the product of two prime numbers that lie between 30 and 45?
(a) 1147 (b) 1333 (c) 1779 (d) 1591
My approach: Numbers, R1
The prime numbers between 30 and 45 are 31, 37, 41 and 43
The product of these numbers will have a unit digit of 1 or 3 or 7, hence 1779 is not possible.
Correct Answer: Choice (c) 1779
Q25. The diagonals of a quadrilateral ABCD intersect at O. If AO : OC = 2 : 3, BO : OD = 2 :1, DO : OC = 1 : 2 and, what is the ratio of the length of side AB to that of side CD?
(a) (b) (c) (d)
My approach: Geometry with lots of data will check in R3 only.
Q26. (xp + 1)(xq + 1) is a factor of (1 + x + x2 + x3 + x4 + … + x39), where x, p and q are positive integers. What is the maximum possible value of (p + q)?
(a) 25 (b) 30 (c)40 (d) None of these
My approach: Algebra bionomial expansion, marked for Review to be attempted in R2
Q27.
If x is an integer, what is the value of x?
(a) 2 (b) 1
(c) Either (a) or (b) (d) Cannot be determined
My approach: Logs question to be solved by substitution of choices, R1.
Substitute x = 2 in the equation, LHS = RHS= 0 satisfies
Thus, Choice (d) is incorrect
Substitute x = 1 in the equation, we find that base of Log on LHS = 1 which is not possible
Thus, Choice (b) and (c) are incorrect.
Correct Answer: Choice (a) 2
Q28. If f(n) represents the sum of the digit(s) of n for n = 1, 2, 3, 4, …, find the remainder when f(1) + f(2) + f(3) + f(4) + … + f(100) is divided by 90.
(a) 1 (b) 11 (c) 46 (d) 0
My approach: Numbers – digit sum, R1
Digit sum has a cyclicity of 9 and digit sum of any 9 consecutive integers is a multiple of 9.
Thus, Sum of digit sum of first 99 natural numbers will be a multiple of 90.
and Remainder will be on account of f(100) = 1 only
Correct Answer: Choice (a) 1
Directions for questions 29 and 30 : Answer the questions on the basis of the information given below.
Anil, Bala, Chinmay, Devesh and Esha went to different countries for vacationing. Each person carried some amount (in `) with him/her to spend in the foreign country and got it converted into the currency of his/her destination country at the foreign exchange counter of his/her respective departure airport in India. Similarly, after coming back to India from the trip, each person got the amount left after the trip converted back into ` from the foreign currency at the arrival airport in India. Table – I shows the amount (in `) carried by each person and the percentage of the amount left with him/her after converting the leftover money back into `. Table – II shows the exchange rates of different currencies at which these persons bought/sold the foreign currency.
Q29. How many Australian Dollars (approximately) did Bala spend on her trip?
(a) 9549 (b) 8750 (c) 8854 (d) 9444
Q30. What percentage of the total amount (in `) carried by the five persons together was left after they came back from their respective destinations and converted the leftover money back into `?
(a) 12.5 (b) 15 (c) 14.71 (d) 11.11
My approach: DI set, R2.
This set has data on currency rates of different currencies and is likely to be calculation intensive. Can be attempted but this is my last preference and will be attempted only after I have gone thru the other sets of DI.
Noted on the rough sheet under DI:
Q 29–30 Multiple tables Likely to be calculation intensive Attemptable
Thus in Round 1, in about I have:
Attempted 13 questions – Q 1, 2, 6, 8, 10, 13, 14, 15, 16, 22, 24, 27 & 28. These are, for me, the easiest QA questions in the paper and will ensure a decent score in the section.
Identified 7 QA questions for R2 – Q 7, 9, 11, 12, 20, 23 & 26.
Identified that all three DI sets, Q 3 – 5, Q 17 – 19 and Q 29 – 30 are attemptable but the last set appears to be calculation intensive and would be attempted after attempting the first two sets.
Identified that Q 21 should not be attempted and Q 25 to be considered only after attempting all other questions.
Round 2:
First the DI sets, as explained above I started with Q 3 – 5
Directions for questions 3 to 5: Answer the questions on the basis of the information given below.
The bar chart given below shows the revenue (in Rs lakhs), the expenditure (in Rs lakhs) and the number of employees (in ‘00) of a company that produces wheels, from the year 2006 to the year 2011.
Q3. In each of the given years, the number of units of wheels produced by the company was ten times the number of employees. In which year was the expenditure incurred per unit of wheel produced the lowest?
(a) 2008 (b) 2009 (c) 2010 (d) 2011
Q4. The total expenditure of the company during the given period was what percent of the total revenue?
(a) 75% (b) 66.67% (c) 80% (d) 87.5%
Q5. In which of the following years was the percentage increase in the revenue as compared to the previous year the highest?
(a) 2008 (b) 2009 (c) 2010 (d) 2011
My approach to questions 3 – 5: Multiple bar chart with the values given is equivalent to a table. The numbers are also easy to handle. The graph gives the revenue, expenditure and the number of employees of a company from 2006 to 2011.
Q3. Since the number of wheels produced is 10 times the number of employees for all the years hence instead of checking for ratio of expenditure to number of wheels produced, check for ratio of expenditure to number of employees for each year mentioned in the choices.
Choice (a) 2008: Ratio = 175/6 ≈ 5.8
Choice (b) 2009: Ratio = 205/50 = 4.1, thus choice (a) is incorrect.
Choice (c) 2010: Ratio = 195/40 ≈ 5, incorrect, since Choice (b) is lower.
Choice (d) 2011: Ratio = 240/35 ≈ 7, incorrect, since Choice (b) is lower.
Correct Answer: Choice (b) 2009
Q4. I felt that finding the total expenditure and the total revenue for the 6 years could be time consuming hence decided to check expenditure as a percentage of revenue for all the years.
Since E/R for all the years is between 77.5% and 84%, the average for all the years will also lie in this range.
Choice (a) 75%, incorrect as it is less than 77.5%
Choice (b) 66.7%, incorrect as it is less than 77.5%
Choice (c) 80%, could be correct as it is in the range
Choice (d) 87.5% incorrect as it is more than 84%
Correct Answer: Choice (c) 80%
Q5. Checked the choices for % growth in revenue over the previous year:
Choice (a) 2008: % growth = 2/9 ≈ 22%
Choice (b) 2009: % growth = 1/11 ≈ 9%, incorrect since Choice (a) is higher.
Choice (c) 2010: % growth = 1/24 ≈ 4%, incorrect since Choice (a) is higher.
Choice (d) 2011: % growth = 6/25 ≈ 25%, Correct as it is the highest.
Correct Answer: Choice (d) 2011
Directions for questions 17 to 19: Answer the questions on the basis of the information given below.
The table given below shows the GDP (in ` crores) of five Indian states and the percentage contribution of E-business to their GDP in FY 2011-12. The line graph shows the contributions (in ` crores) of the three major components of E-business – ‘E-Commerce’, ‘Internet Advertising’ and ‘Freelancing’ – for each state in FY 2011-12.
Q17. For which state is the sum of the contributions made by the three major components of E-business third highest among the five states in FY 2011-12?
(a) Bihar (b) Gujarat (c) Karnataka (d) Rajasthan
Q18. The sum of the contributions made by the three major components of E-business is expected to grow by 10% in FY 2012-2013 over the previous year in Gujarat. By what percentage should the contribution of the rest of the components of E-business change so that the percentage contribution of E-business to the GDP in FY 2012-2013 remains the same as that in FY 2011-2012?
(a) 6.31 (b) 11.11
(c) 9.09 (d) Cannot be determined
Q19. Freelancing contributes approximately what percent to E-business for Karnataka in
FY 2011-12?
(a) 7 (b) 11 (c) 17 (d) 23
My approach to questions 17 – 19: The table gives the GDP and the E-business contribution % for five different states for the year 2011-12 while the multiple line chart gives the contribution in Rs cr of the three major components of e-business.
Q17. Found the sum of the contribution of the three components of e-business from the multiple line chart and found that Karnataka is the 3rd highest.
Correct Answer: Choice (c) Karnataka
Q18. Since GDP for 2011-12 or the growth rate of GDP over the previous year is not given hence the answer cannot be calculated.
Correct Answer: Choice (d) Cannot be determined.
Q19. We need to calculate Freelancing as a percentage of e-business in Karnataka.
Freelancing in Karnataka = Rs 1440 cr
e-business in Karnataka = 7% of Rs 297964 ≈ 7 x 2979.64 ≈7 x 3000
Freelancing as a % of e-business in Karnataka =
Correct Answer: Choice (a) 7%
Now that I have attempted two out of the three sets of DI and I am left with the one that is likely to be calculation intensive, individual R2 questions – Q 7, 9, 11, 12, 20, 23 & 26. I decided to do the geometry questions after completing the other individual questions.
Q11. The product of three natural numbers – N1, N2 and N3 – is twelve times their H.C.F. How many ordered triplets (N1, N2, N3) are possible?
(a) 12 (b) 15 (c) 18 (d) 21
My approach:Since the product of the three numbers is 12 times their HCF, the product has to be a multiple of 12. Since we need to find out the number of ordered triplets (N1, N2, N3) each case is equivalent to 3 ordered triplets and hence the choices 12, 15, 18 & 21are equivalent to 4, 5, 6 & 7 cases respectively.
Decided to make cases:
HCF = 1 and Product = 12
(1,1,12), (1,2,6), (1,3,4), (1,12,12) 4 cases or 12 ordered triplets
HCF = 2 and Product = 24
(2,2,6), (2,3,4) 2 cases or 6 ordered triplets.
Thus I marked the answer as 18 and got it wrong because I missed out (2,2,3) where HCF = 1 and Product = 12, thus missing out on 3 ordered triplets. The correct answer is 21.
Q12. The product of the first five terms of an increasing arithmetic progression is 40/81. If the 1st, 2nd and 4th terms of the arithmetic progression are in geometric progression, what is the sum of the 1st term and the 5th term of the arithmetic progression?
(a) 4 (b) 2 (c) 6 (d) 8
My approach: This appeared to be calculation intensive so tried to make cases but was unable to do so and hence decided to solve this question by applying standard mathematical technique.
Assumed the first 5 terms of the AP to be: (a-2d), (a-d), a, (a+d) and (a+2d)
1st, 2nd and 4th terms are in GP, thus:
(a-2d) x (a+d) = (a-d)2 a = 3d
The product of the first 5 terms = 40/81
(a-2d) x (a-d) x a x (a+d) x (a+2d) = 40/81
d x 2d x 3d x 4d x 5d = 40/81 d =1/3
Thus, sum of 1st and 5th term = 6d = 2
Correct Answer: Choice (b) 2
Q20. What is the number of solution(s) of the equation (e = 2.72)
(a) 1 (b) 2 (c) 3 (d) 4
My approach: The question involves modulas hence most probably the number of solutions of the equation will be and even number but I had no idea how to proceed further and left the question unanswered. Not to be attempted again. R3
Q23. The number of positive integer solutions of the equation is:
(a) 2 (b) 3 (c) 4 (d) More than 4
My approach: Solved the question by substituting the value of n in the expression.
For n = 1, we get cos (4π) + sin (4π) = 1 + 0 = 1 satisfies
For n = 2, we get cos (5π/2) + sin (5π/2) = 0 + 1 = 1 satisfies
For n = 3, we get cos (2π) + sin (2π) = 1 + 0 = 1 satisfies
For n = 6, we get cos (3π/2) + sin (3π/2) = 0 + 1 = 1 satisfies
For n > 6 we will not get an integral multiple of π/2 and so should not be checked.
In this I made a mistake, sin (3π/2) = -1, thus n = 6 does not satisfy and the correct answer should be Choice (b) 3
Q26. (xp + 1)(xq + 1) is a factor of (1 + x + x2 + x3 + x4 + … + x39), where x, p and q are positive integers. What is the maximum possible value of (p + q)?
(a) 25 (b) 30 (c)40 (d) None of these
My approach:Tried solving the question by substituting the value of x and by finding the sum of the GP on the RHS but unable to make any headway. While I was sure that p+q ≠ 40, I could not eliminate any other choice. The presence of “None of these” also made my task difficult and hence left the question unatttempted.
Q7. In the figure given below, and AC : BC = 3 : 2. If the area of the triangle ABD is 20 cm2, what is the area (in cm2) of the triangle BDC?
(a) 20 (b) 24 (c) 36 (d) 16
My approach: No idea how to solve the question hence left it. However Richa, a student solved this question and her solution is given below:
Richa’s Solution:
Sir, In ques 7 , I used SQC approach. I made the figure proportionate and found that the required area is less than area of ABD.
Only one option is less than 20
Q9. In the figure given below, SC is a tangent to the bigger circle. If AC is the diameter of the bigger circle, what is the measure of ÐQPR?
(a) 30° (b) 40° (c) 70° (d) 60°
My approach:Angle CBD = 60º = Angle CAD, Angles in the same segment of the circle
AC is the diameter of the circle and SC is tangent to the circle,
Angel SCA = 90º
Angle ASC = 30º
Not sure how to proceed but Δ SCA in the figure appears to be to scale, hence decided to take a chance. Compared the angles felt that Angle RSQ ≥ Angle QPR, and marked the answer as 30º and got it right.
Correct Answer: Choice (a) 30º
Moved to the remaining DI set Q29 – 30:
Directions for questions 29 and 30 : Answer the questions on the basis of the information given below.
Anil, Bala, Chinmay, Devesh and Esha went to different countries for vacationing. Each person carried some amount (in `) with him/her to spend in the foreign country and got it converted into the currency of his/her destination country at the foreign exchange counter of his/her respective departure airport in India. Similarly, after coming back to India from the trip, each person got the amount left after the trip converted back into ` from the foreign currency at the arrival airport in India. Table – I shows the amount (in `) carried by each person and the percentage of the amount left with him/her after converting the leftover money back into `. Table – II shows the exchange rates of different currencies at which these persons bought/sold the foreign currency.
Q29. How many Australian Dollars (approximately) did Bala spend on her trip?
(a) 9549 (b) 8750 (c) 8854 (d) 9444
Q30. What percentage of the total amount (in `) carried by the five persons together was left after they came back from their respective destinations and converted the leftover money back into `?
(a) 12.5 (b) 15 (c) 14.71 (d) 11.11
My approach:
Q29. Bala converted Rs 5,00,000 into A$ and after returning to India converted the remaining A$ into Rs 75,000 (15%of Rs 5,00,000)
Rs 5,00,000 converted into A$ @ Rs48 per A$ = 5,00,000/48 = A$10,417
Rs 75,000 were converted from A$ @ Rs 45 = 75,000/45 = A$ 1,667
Hence amount spent in Australia = 10,417 – 1,667 = 8750
Correct Answer: Choice (b) 8750
Q30. Total amount carried by all 5 people = Rs 21,00,000
Amount left with the 5 people after returning from their trip = 3,09,000
% of amount left after the trip =
Correct Answer: Choice (c) 14.71%
Summary of Performance