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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If the difference between the two expenditures are represented by 18° in the pie-chart, then these expenditures possibly are |
| Answer» Central angle of 18° = 18 x 100 % of the total expenditure 360 = 5% of the total expenditure. From the given chart it is clear that: Out of the given combinations, only in combination (d) the difference is 5% i.e. Paper Cost - Printing Cost = (25% - 20%) of the total expenditure = 5% of the total expenditure. | |
| 2. |
For an edition of 12,500 copies, the amount of Royalty paid by the publisher is Rs. 2,81,250. What should be the selling price of the book if the publisher desires a profit of 5%? |
| Answer» Clearly, S.P. of the book = 105% of C.P. Let the selling price of this edition (of 12500 books) be Rs. x. Then, 15 : 105 = 281250 : x x = Rs. 105 x 281250 = Rs. 1968750. 15 S.P. of one book = Rs. 1968750 = Rs. 157.50 . 12500 | |
| 3. |
If for an edition of the book, the cost of paper is Rs. 56250, then find the promotion cost for this edition. |
| Answer» Let the Promotion Cost for this edition be Rs. p. Then, 25 : 10 = 56250 : p p = Rs. 56250 x 10 = Rs. 22,500. 25 | |
| 4. |
Which two expenditures together have central angle of 108°? |
| Answer» Central angle of 108° = 108 x 100 % of the total expenditure 360 = 30% of the total expenditure. From the pie chart it is clear that: Binding Cost + Transportation Cost = (20% + 10%) of the total expenditure = 30% of the total expenditure. Binding Cost and Transportation Cost together have a central angle of 108°. | |
| 5. |
Royalty on the book is less than the printing cost by: |
| Answer» Printing Cost of book = 20% of C.P. Royalty on book = 15% of C.P. Difference = (20% of C.P.) - (15% of C.P) = 5% of C.P. Percentage difference = Difference x 100 % Printing Cost = 5% of C.P. x 100 % = 25%. Printing Cost | |
| 6. |
If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be amount of royalty to be paid for these books? |
| Answer» Let the amount of Royalty to be paid for these books be Rs. r. Then, 20 : 15 = 30600 : r r = Rs. 30600 x 15 = Rs. 22,950. 20 | |
| 7. |
What is the central angle of the sector corresponding to the expenditure incurred on Royalty? |
| Answer» Central angle corresponding to Royalty = (15% of 360)° = 15 x 360 ° 100 = 54°. | |
| 8. |
The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book? |
| Answer» Clearly, marked price of the book = 120% of C.P. Also, cost of paper = 25% of C.P Let the cost of paper for a single book be Rs. n. Then, 120 : 25 = 180 : n n = Rs. 25 x 180 = Rs. 37.50 . 120 | |
| 9. |
If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%? |
| Answer» For the publisher to earn a profit of 25%, S.P. = 125% of C.P. Also Transportation Cost = 10% of C.P. Let the S.P. of 5500 books be Rs. x. Then, 10 : 125 = 82500 : x x = Rs. 125 x 82500 = Rs. 1031250. 10 S.P. of one book = Rs. 1031250 = Rs. 187.50 . 5500 | |
| 10. |
What percent of total spending is spent on Tennis? |
| Answer» Percentage of money spend on Tennis = 45 x 100 % = 12 1 %. 360 2 | |
| 11. |
How much percent more is spent on Hockey than that on Golf? |
| Answer» Let the total spendings on sports be Rs. x. Then, Amount spent on Golf = Rs. 36 x x = Rs. x . 360 10 Amount spent on Hockey = Rs 63 x x = Rs. 7x . 360 40 Difference = Rs. 7x - x = Rs 3x . 40 10 40 Required percentage = Rs. 3x/40 x 100 % = 75%. x/10 | |
| 12. |
How much percent less is spent on Football than that on Cricket? |
| Answer» Let the total spendings on sports be Rs. x. Then, Amount spent on Cricket = Rs. 81 x x = Rs. 9x . 360 40 Amount spent on Football = Rs 54 x x = Rs. 3x . 360 20 Difference = Rs. 9x - 3x = Rs 3x . 40 20 40 Required percentage = Rs. 3x/40 x 100 % = 33 1 %. 9x/40 3 | |
| 13. |
If the total amount spent on sports during the year was Rs. 2 crores, the amount spent on Cricket and Hockey together was: |
| Answer» Amount spent on Cricket and Hockey together = Rs. (81 + 63) x 2 crores 360 = Rs. 0.8 crores = Rs. 80,00,000. | |
| 14. |
What is the ratio between the number of students studying at post-graduate level from institutes S and the number of students studying at graduate level from institute Q? |
| Answer» Required ratio = (21% of 24700) = (21 x 24700) = 19 . (13% of 27300) 13 x 27300 13 | |
| 15. |
Total number of students studying at post-graduate level from institutes N and P is |
| Answer» Required number = (15% of 24700) + (12% of 24700) = 3705 + 2964 = 6669. | |
| 16. |
Near about 20% of the funds are to be arranged through: |
| Answer» 20% of the total funds to be arranged = Rs. (20% of 57600) crores = Rs. 11520 crores Rs. 11486 crores. Rs. 11486 crores is the amount of funds to be arranged through External Assistance. | |
| 17. |
If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds? |
| Answer» Shortage of funds arranged through External Assistance = Rs. (11486 - 9695) crores = Rs. 1791 crores. Increase required in Market Borrowing = Rs. 1791 crores. Percentage increase required = 1791 x 100 % = 5.98% 6%. 29952 | |
| 18. |
If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4910 crores? |
| Answer» Amount permitted = (Funds required from Toll for projects of Phase II) + (10% of these funds) = Rs. 4910 crores + Rs. (10% of 4910) crores = Rs. (4910 + 491) crores = Rs. 5401 crores. | |
| 19. |
The central angle corresponding to Market Borrowing is |
| Answer» Central angle corresponding to Market Borrowing = 29952 x 360° = 187.2° 57600 | |
| 20. |
The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is |
| Answer» Required ratio = 4910 = 1 1 . 29952 6.1 6 | |
| 21. |
For the year 2005, which company has realised the lowest average unit sales price for a PC ? |
| Answer» Although it seems to be Commodore, the answer cannot be determined due to the fact that we are unaware of the break-up of the sales value and volume of companies compromising the other categories. | |
| 22. |
Over the period 2005-2006, if sales (value-wise) of IBM PC's increased by 50% and of Apple by 15% assuming that PC sales of all other computer companies remained the same, by what percentage (approximately) would the PC sales in New York (value-wise) increase over the same period ? |
| Answer» If we assume the total sales to be 100 in the first year, IBM's sales would go up by 50% (from 28 to 42) contributing an increase of 14 to the total sales value. Similarly, Apple's increase of 15% would contribute an increase of 2.1 to the total sales value. The net change would be 14 + 2.1 on 100. (i.e., 16.1%) | |
| 23. |
In 2005, the average unit sale price of an IBM PC was approximately (in US$) |
| Answer» IBM accounts for 28% of the share by value and 10% of the share by volume. 28% of 1650000 = 28 x 1650000/100 = 462000 10% of 1500 = 10 x 1500/100 = 150 Therefore, average unit sale price = 462000/150 = 3080. | |
| 24. |
What percentage of proteins of the human body is equivalent to the weight of its skin ? |
| Answer» Total percentage = (10 / 24) x 100 = 41.6666667 % | |
| 25. |
What is the ratio of the distribution of proteins in the muscles to that of the distribution of proteins in the bones ? |
| Answer» It cannot be determined since the respective distributions are not known. | |
| 26. |
How much of the human body is neither made of bones or skin ? |
| Answer» 20 + 10 = 30% is made up of either bones or skin. Hence, 70% is made up of neither. | |
| 27. |
What percentage of Indian tourist went to either USA or UK ? |
| Answer» (40+10) = 50% (from first chart) | |
| 28. |
The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is ? |
| Answer» 40:15 = 8:3 | |
| 29. |
If amongst other countries, Switzerland accounted for 25% of the Indian tourist traffic, and it is known from official Swiss records that a total of 25 lakh Indian tourists had gone to Switzerland during the year, then find the number of 30-39 year old Indian tourists who went abroad in that year ? |
| Answer» Tourist traffic from other countries to Swiz is 20%. Amongst this 20%, 25% of traffic from India. So, 25% of 20% = 5% corresponds to the Indian traffic in Switzerland. 5 % corresponds to Switzerland's 25 lakh. Hence 15% will be 75 lakh. | |
| 30. |
What is the total number of graduate and post-graduate level students is institute R? |
| Answer» Required number = (17% of 27300) + (14% of 24700) = 4641 + 3458 = 8099. | |
| 31. |
What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S? |
| Answer» Required ratio = (21% of 24700) = (21 x 24700) = 19 . (14% of 27300) 14 x 27300 14 | |
| 32. |
How many students of institutes of M and S are studying at graduate level? |
| Answer» Students of institute M at graduate level= 17% of 27300 = 4641. Students of institute S at graduate level = 14% of 27300 = 3822. Total number of students at graduate in institutes M and S = (4641 + 3822) = 8463. | |
| 33. |
What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states? |
| Answer» Number of males in U.P = 3 of (15% of N) = 3 x 15 x N = 9 x N . 5 5 100 100 where N = 3276000. Number of males in M.P = 3 of (20% of N) = 3 x 20 x N = 15 x N . 4 4 100 100 Number of males in Goa = 3 of (12% of N) = 3 x 12 x N = 4.5 x N . 8 8 100 100 Total number of males in these three states = (9 + 15 + 4.5) x N 100 = 28.5 x N . 100 Required Percentage = 28.5 x N 100 x 100 % = 28.5%. N | |
| 34. |
What was the total number of illiterate people in A.P. and M.P. in 1998? |
| Answer» No. of illiterate people in A.P. = 7 of (25% of 3276000) = 637000. 9 No. of illiterate people in M.P. = 4 of (20% of 3276000) = 524160. 5 Total number = (637000 + 524160) = 1161160. | |
| 35. |
What is the ratio of the number of females in T.N. to the number of females in Delhi? |
| Answer» Required ratio = 4 of (9% of 3276000) 7 3 of (8% of 3276000) 5 = 4 x 9 7 3 x 8 5 = 4 x 9 x 5 x 1 7 3 8 = 15 . 14 | |
| 36. |
What was the number of males in U.P. in the year 1998? |
| Answer» Number of males in U.P. = 3 of (15% of 3276000) 5 = 3 x 15 x 3726000 5 100 = 294840. | |
| 37. |
If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997? |
| Answer» Let x be the population of U.P. in 1997. Then, Population of U.P. in 1998 = 110% of x = 110 x x. 100 Also, let y be the population of M.P. in 1997. Then, Population of M.P. in 1998 = 112% of y = 112 x y. 100 Ratio of populations of U.P. and M.P. in 1998 = 110 x x 100 = 110x . 112 x y 100 112y From the pie-chart, this ratio is 15 . 20 110x = 15 x = 15 x 112 = 42 . 112y 20 y 20 110 55 Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55. | |
| 38. |
What percent of the total weight of human body is equivalent to the weight of the proteins in skin in human body? |
| Answer» Let the body weight be x kg. Then, weight of skin protein in the body = 16% of 1 of x kg 10 = 16 x kg. 1000 Required percentage = 16x 1000 x 100 % = 1.6%. x | |
| 39. |
What will be the quantity of water in the body of a person weighing 50 kg? |
| Answer» Quantity of water in the body of a person weighing 50 kg = (70% of 50) kg = 35 kg. | |
| 40. |
What is the ratio of the distribution of proteins in the muscles to that of the distribution of proteins in the bones? |
| Answer» Required ratio = 16% of 1 3 = 6 = 2 . 16% of 1 6 3 1 | |
| 41. |
To show the distribution of proteins and other dry elements in the human body, the arc of the circle should subtend at the centre an angle of: |
| Answer» Percentage of proteins and other dry elements in the body = (16% + 14%) = 30%. Central angle corresponding to proteins and other dry elements together = 30% of 360° = 108°. | |
| 42. |
In the human body, what part is made of neither bones nor skin? |
| Answer» Part of the body made of neither bones nor skin = 1 - 1 + 1 = 11 . 6 10 15 | |
| 43. |
What is the approximate ratio of investment flows into India Bonds from NRI's to corporate houses ? |
| Answer» 11:34 is approximately equal to 1:3 | |
| 44. |
What percentage of candidates passed the Exam from institute T out of the total number of candidates enrolled from the same institute? |
| Answer» Required percentage = 9% of 5700 x 100 % = 9 x 5700 x 100 % = 75%. 8% of 8550 8% of 8550 | |
| 45. |
Which institute has the highest percentage of candidates passed to the candidates enrolled? |
| Answer» The percentage of candidates passed to candidates enrolled can be determined for each institute as under: (i) P = 18% of 5700 x 100 % = 18 x 5700 x 100 % = 54.55%. 22% of 8550 22 x 8550 (ii) Q = 17% of 5700 x 100 % = 75.56%. 15% of 8550 (iii) R = 13% of 5700 x 100 % = 86.67%. 10% of 8550 (iv) S = 16% of 5700 x 100 % = 62.75%. 17% of 8550 (v) T = 9% of 5700 x 100 % = 75%. 8% of 8550 (vi) V = 15% of 5700 x 100 % = 83.33%. 12% of 8550 (vii) X = 12% of 5700 x 100 % = 50%. 16% of 8550 Highest of these is 86.67% corresponding to institute R. | |
| 46. |
The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by: |
| Answer» Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550] = [(34% of 5700) - (18% of 8550)] = (1938 - 1539) = 399. | |
| 47. |
What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together? |
| Answer» Candidates passed from institutes Q and R together = [(13% + 17%) of 5700] = 30% of 5700. Candidates enrolled from institutes Q and R together = [(15% + 10%) of 8550] = 25% of 8550. Required Percentage = 30% of 5700 x 100 % 25% of 8550 = 30 x 5700 x 100 % 25 x 8550 = 80%. | |
| 48. |
In the corporate sector, approximately how many degrees should be there in the central angle ? |
| Answer» 34 x 3.6 = 122.4 (since 1% = 3.6 degrees) | |
| 49. |
If the investment by NRI's are Rs 4,000 crore, then the investments by corporate houses and FII's together is: |
| Answer» (67/11) x 4000 = 24 363.6364 | |
| 50. |
What percentage of the total investment is coming from FII's and NRI's ? |
| Answer» (33 + 11) = 44 | |