Directions(Qs 71 to 74) : These Questions Are Based on the Following Graphs

Q1. A shopkeeper sells wheat at a profit of 10% and uses weights which are 20% less than the actual weight .The total weight earned by him will be:

(a) 30% (b) 37.5%

Q2. Which of the following fractions is less than 7/8 and greater than 1/3?

(a) ¼ (b) 23/24

Q3. A sum of Rs5000 was lent partly at 6% and partly at 9% simple interest. If the interest received after one year is Rs390, find the ratio in which money was lent.

(a) 2:3 (b) 3:4

Q4.Two motorists start at the same time , one from Ambala to Delhi and other Delhi to Ambala. If they arrive at their destinations in 2 hours and * hours respectively after passing each other, how much faster is one driving than the other?

(a) Four times as fast as the other

(b) Twice as fast as the other

(d) insufficient data

Q5. The difference between the simple interest and the compound interest on a certain sum of money for four years at 10% per annum is Rs320.50. The sum of money is

(a) Rs 6000 (b) Rs 5000

Q6. 243 has been divided into three parts such that half of the first part, one third of the second part and one fourth of the third part are equal. The largest part is:

(a) 72 (b) 81

Q7. A series of discount of 20%, 10% and 10% is equivalent to a single discount of (approximately) :

(a) 40% (b) 35%

Q8. A company charges interest on its lending @ 20% p.a. . However, the interest is payable in the beginning of each half year. The effective half yearly simple rate of interest would work out to be

(a) 10% (b) 22.22%

Q9 Mr.Vishal buys 11 candles for Rs10 and sells them at 10 for Rs11. Mr. Vishal’s gain percent is:

(a) 21% (b)15%

Q10. A man , a woman and a boy can do a job in 3, 4 and 12 day respectively. How many boys must assist one man and one woman to complete the job in 1.5 days ?

(a) 12 (b) 6

Q11. From New Delhi Station , if we buy 2 tickets to stations A and 3 tickets for station B , the total cost is Rs77 but if we buy 3 tickets to station A and 5 tickets to station B, the total cost is Rs.124. What are the fares from New Delhi to station A and station B ?

(a) Station A Rs13, Station B Rs17

(b) Station A Rs10, Station B Rs19

(d) None of these

Q12. A sum was put on simple interest for 2 years. Had it been at 1% higher rate of interest, it would have fetched Rs24 more. The sum is:

(a)600 (b) 800

Q13. In a certain year, the income of a certain individual from his investments amounted to 45% of his total income. If municipal bonds accounted for ⅔ of his investment income, then the ratio of the income derived from municipal bonds to total non-investment income was

(a) 2/3 (b) 3/10

Q14. The speed of a boat in still water is 10km per hour. If it can travel 26km. downstream and 14km. upstream in the same time, find the speed of the stream.

(a) 5km/hr (b) 4km/hr

Q15. The sum of the ages of father and sum is 45 years . Five years ago, the product of their ages was four times the father’s age at the time. Find the present age of the father.

(a) 30 years (b) 42years

Q16. A wire bent into a circular shape with a radius of 154cm. If the piece of wire is straightened and then bent again in the form of a square, what will be the length of the side of a square

(a) 242cm (b) 24.75cm

Q17. A money lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum payable half yearly and receives the interest at the end of the year. By the means, he gains Rs209 in an year. How much money does he borrows ?

(a)Rs 20900 (b) Rs 10450

Q18. The radii of two circles are in the ratio 1:3. What is the ratio of their circumferences?

(a) 1:9 (b) 1:27

Q19.Five times A’s income added to B’s income is more than Rs 51. Three times a’s income is Rs21 more than B’s income. Find the out range of value of a and b if they represent A’s income and B’s income respectively.

(a) a>9, b<6 (b) a>9, b=6

Q20. The sum of the present ages of father and son is 68 years. Eight years ago, the ratio of their ages was 12:1. What will be the ratio of their ages four years hence.

(a) 13: 2 (b) 15: 4

Q21. The debenture is being quoted at 20% premium and carries 15% p.a. interest on its face value. What is the percentage return on such debenture ?

(a) 35% (b) 58%

Q22. A purse contains Re1, Re 10, and Re20 notes only. The number of one rupee notes is seven times the number of Rs10 notes and Rs20 notes is 4 times the number of Rs10 notes. What is the amount of money in the purse, if there were12 Rs20 notes in this purse?

(a) 291 (b) 873

Q23. An amount of Rs680 was invested at 6% rate of interest and another sum of money was invested at 10% interest. If the average interest on the total at the end of year was 7.5%, how much invested at 10%?

(a) Rs 408 (b)Rs 412.5

Q24.The wages received by A, B, and C together amount to Rs144. If A works for 10 days , b works for 12 days and C works for 15 days, then the amount received by A;

When the proportion of daily wages is ½ : ⅓: 1/5, is

(a) 60 (b) 48

Q25.In a factory, men, women and children were employed in the ratio of 8:5:1 to finish a job and their individual wages were in the ratio of 5:2:3. When 20 women were employed, the total daily wages of all amounted to Rs318. Find the total daily wages in Rupees paid to each category.

(a) 210, 70, and 38 (b) 240, 60, 18

Q26. Amit speaks truth in 75% of the cases , while Bimal speaks truth in 80% of the cases. The percentage of cases in which they contradict each other in narrating the same incident, is likely to be:

(a) 35 (b) 15

Q27.The expenses of hotel consist of two parts. The first one varies with the number of inmates, while the second one is mixed. When the numbers of inmates are 275 and 350, the expenses are 1600 and 1900 respectively. The expenses when the number of inmates is 315, are:

(a) Rs1760 (b) Rs 1680

Q28.Ten percent of the inhabitants of a village died of cholera a result of which panic set in, during which 25% of the remaining inhabitants left the village. If the population was then reduced to 31,941, what was the original population of the village?

(a) 47,320 (b) 49,140

Q29.In a management entrance test there are 200 questions with four alternative answers each. A student marks first alternative as the answer to all the questions. What is the probable net score if each right answer fetches one mark and each wrong answer fetches

-1/4 marks?

(a) 0 (b) 10

Q30. The price of the precious stone is proportional to its weight. What will be the loss incurred, if a stone weighing 28 grams and consisting Rs28,000 breaks into two pieces whose weights are in the ratio 15: 13?

(a) Rs 12,000 (b) Rs 7,000

Q31.The cost of turfing a rectangular field at 85 paise per square metre is Rs624.75. Find the perimeter of the field if its are sides in the ratio 5: 3.

(a) 98metres (b) 126metres

Q32. Let A= (x+1)/(x-1) and B=(x-1)/(x+1). Determine the value of A-B

(a)0 (b) x/(x2 -1)

Q33.Ashok had to multiplication. Instead of taking 35 as one of the multipliers, he took 53. As a result, the product went up by 540. What is the new product?

(a)1050 (b) 1590

Q34. A ladder on a road when inclined on a wall reaches a point 12m aboveground. Placing at the same position if it is inclined on to the other side of a road, it reaches a point 9m above the ground. If the length of ladder is 15m, what is the width of the road?

(a) 17m (b)23m

Q35. A rate of interest on two bonds is in the ratio of 4: 5. A person wants to invest his savings in these bonds in such a way that he received equal half yearly interest from both the bonds. He should invest in these bonds in the ratio:

(a)5:2 (b) 2:5

Q36. A student secured 60, 75, 85 in Mathematics monthly tests. He secured 95 marks in final test. If monthly scores were given equal weightage and final scores are given double weightage, what are his average marks in Mathematics?

(a) 65 (b) 75

Q37. A sells a product having a printed price of Rs2,400 at a discount of 10% on printed price. He earns a profit of 25% on this sale. What was the purchase price on which A purchased this product?

(a) Rs1980 (b) Rs 1728

Q38. A wheel travels a distance of 22 km. in 2500 revolutions. Find the diameter of the wheel.

(a) 1.4m (b) 2.8m

Q39.The difference between the compound interest and simple interest on a sum of money at the rate of 10% p.a. for two years is Rs 50. Find the principal amount.

(a) Rs 5,500 (b) Rs 4,000

Q40.If the numerator of a fraction is doubled and the denominator is increased by 3, the new fraction is 3/5. What is the original fraction if its denominator is more than twice the numerator by1?

(a) 3/7 (b) 6/13

Q41.The average of the marks obtained in class of n students is 64. When eight new students with an average mark of 73 join the class, the new average of the entire class is a whole number. Find the number of students now in the class given that n lies between 25 and 60.

(a) 44 (b) 32

Q42. Rs 1,87,400 were invested in 15% debenture at a discount of 20%. What is the return on investment?

(a) 35% (b) 18%

Q43. Three taps A, B and C can fill the tanks in 30 minutes, 45 minutes, 60 minutes respectively. All the three taps are opened simultaneously and after 10 minutes, tap C is closed and another tap D is opened. It took another 20 minutes to fill the tank. How much time does tap D take to empty a full tank ?

(a) 18 minutes (b) 24 minutes

Q44.A rod of the length 300 inches is to be cut into three pieces of integer length of the first piece is square of the second and that of the second is square of the third. What is the length of the left out portion, if the left out portion has to be the least ?

(a) 12inches (b) 24 inches

Q45. The amounts on a certain sum for 3 and 4 years at a certain rate of compound interest are Rs 18250.50 and Rs 20988.10 respectively. What is the rate of interest?

(a) 10% (b) 12%

Q46. The difference between simple interest and compound interest on a certain sum for two years at 10% p.a. is Rs 4200.The sum is:

(a) Rs 20000 (b)Rs 16000

Q47. In an examination A gets 40% of total marks and B gets 80% of that of A. C gets 60% of A’s and B’s marks taken together. If the required pass percentage is 36, how many of these four students passed the examination?

(a) 1 (b)2

Q48. In a school, the number of girls exceeds the number of boys by 60. If the number of girls is increased by 15% and the number of boys is increased by 50%, there would be 51 boys more than girls. Find the original strength of the class?

(a) 540 (b) 360

Q49. An investor invested a sum of Rs. 10 lacs in shares of company X and debentures of company Y. Company X’s shares yields 24% in cash each year and the rate of interest on company Y’s debenture is 16%. He received a total of Rs 2,08,000 in the form of dividend and interest from these two companies. How much money was invested in company X?

(a)400,000 (b) 600000

Q50.A dry fruit seller purchased 3 kinds of nuts at the rate of Rs100/kg, Rs80/kg and Rs60/kg. respectively. He then mixed them in the ratio of 3:4:5 by weight and sold the same to a customer at 50% profit. The price per kg at which he sold the mix to the customer is:

(a) Rs110 (b)Rs90

Q51. A, B, C and D were partners sharing profits in the ratioof 2: 3: 4:6. D died and his share was distributed equally among the surviving partners. What will be the new profits sharing ratio?

(a)4:5:6 (b) 2:3:4

Q52. A vehicle changed hands three times and at each time the loss to the earlier owner was 10%. If the overall loss was Rs 4,065, find the original price of the vehicle(in rupees).

(a) 10,000 (b) 10,500

Q53. What is the three digit number which is two more than a perfect square and 2 less than a perfect cube?

(a) 627 (b) 402

Q54.If it costs RsY to whitewash the 4 walls of a room, how much would it cost (in rupees) if all the dimensions were to be 5times the original dimensions?

(a) 5Y (b) 25Y

Q55. A sum of Rs4000 was lent partly at 6% and partly at 8% simple interest. If the interest received after one year is Rs272, find the ratio in which the money was lent?

(a)2:3 (b)3:2

Q56. A man pays off 3/20 of his debt every month. At the end of 6 months, his remaining debt is Rs290. How much amount ( in rupees) has he cleared off every month?

(a) 400 (b) 435

Q57. Y wanted to borrow Rs1000 from a moneylender for a period of one year. However, the moneylender deducted Rs200 as interest charges and gave Rs 800 to him. What is the rate of interest at which Y has borrowed the money?

(a) 20% (b)22.5%

Q58. If the interest compounded annually on a certain sum at a certain rate on interest for 2 years is equal to 55% of the simple interest on the same amount at the same rate of interest for twice the time period, find the rate of interest?

(a) 12% (b)20%

Q59.A shopkeeper purchases a packet of 50 pens for Rs500. He sells a part of the packet at a profit of 30%. On the remaining part he incurs a loss of 10%. If his overall profit on the entire packet is 10%, what is the number f pen sold at profit?

(a)25 (b) 30

Q60.For a loan of Rs32,400 that I gave to my friend Anil, he promised to pay me the amount in monthly installments starting with a certain amount and increasing the instalments every month a fixed amount of Rs100. In this way he could clear off the loan in 24 months. How much was the first installment?

(a) 100 (b) 200

Directions(Qs 61 to 65): Study the following graph carefully and answer accordingly:

The following graph shows the production of crude oil by different countries in three years (in million barrels)

Q61. In which of the following countries is there the maximum percentage increase in the production of crude oil from 1998 to 2000?

(a) Russia (b) Venenzula

Q62. If in the particular year Russia produces 20% less crude oil as compared to 1999, and imports 40% of the crude oil it produces in that particular year for fulfilling its requirements, how many million barrel does Russia require in that particular year?

(a) 13.54 (b) 13.44

Q63. In which of the following countries the amount of production of crude oil is more than 50% with respect to both of the previous years?

(a) USA (b) Iran

Q64. Which of the following countries produced the maximum crude oil in the three given years together?

(a) Saudi Arabia (b) Iran

Q65. The production of crude oil by Russia in 1999 and that by Venenzuela in 1998 together is what percent of the production by Saudi Arabia and USA in 2000 together?

(a) 48% (b) 60%

Directions(Qs 66 to 70 ): The diagram below depicts the sources and uses of funds in a public sector enterprise. The total outlay is Rs4000 crore.

Q66. If working capital has to be managed out of the loan funds, then what percentage (approximately) of loan funds should be set apart for this purpose?

(a)25% (b) 40%

Q67. The total amount which has been used for buying land , machinery, setting plants and capital works is approximately Rs

(a) 200crore

(b) 3000crore

(d)3800crore

Q68.The total cash credits acquired by the company are approximately Rs.

(a) 200crore

(b) 240 crore

(d) 285crore

Q69.The company is in need of more working capital. How much capital it can acquire by redeeming its investments?

(a)144 crore

(b)152 crore

(d) 184crore

Q70.If the company were to manage its working capital from internal resources alone, then how much fund from this resource will still be left for other use?

(a)Rs288crore

(b)Rs312crore

(c)Rs344crore

(d)Rs432crore

Directions(Qs 71 to 74) : These questions are based on the following graphs

Total Investment Profile

Govt. Bonds and securities

Municipal Bonds

Total Investment Funds = Rs 11 crore 5 lakh

Q71. According to these graphs, approximately, how much money from the investment portfolio was invested in high risk stocks?

(a)98,34,500 (b) 10,10,100

Q72. Approximately, how much money from the investment portfolio was invested in State issued bonds?

(a) 2,87,30,000 (b) 3,39,50,000

Q73. Which of the following earned the least amount of money for the investment portfolio?

(a)Municipal Bonds

(b)State issued Bonds

(c)Government Bonds and Securities

(d) Cannot be determined from the given information

Q74.Which of the following was the greatest?

(a)The amount of money invested in Municipal Bonds which yielded at 7% and 9%.

(b) The amount of money invested in State issued Bonds.

(d) The amount of money invested in Municipal Bonds which yielded over 9%.

Directions (Qs75 to 77): Study the following information carefully and answer accordingly:

(i)In a school, a total of 220 students are studying together in two sections A and B in the ratio of 5:6. Students are studying only English or only Sanskrit or both English and Sanskrit.

(ii)The number of students studying only English from section A and of those studying both Sanskrit and English from section B equal and each of them is 40% of the students who are studying only English from section B.

(iii)The number of Students studying only Sanskrit from section A is 30% of the number of students studying in section B and 60% of the students studying onlyEnglish from section B.

Q75. How many students are studying both English and Sanskrit from section A?

(a) 48 (b) 16

Q76. How many students are studying only Sanskrit from section B?

(a)36 (b)10

Q77. Number of students studying only English from section B is what per cent more than

that of the students studying only English from section A?

(a)150% (b) 100%

Directions (Qs 78 & 79)

A survey was conducted by an agency in 25000 houses. It was found that 48% used ‘Head and Shoulder’, 48% used ‘Clinic Plus’ and 53% used ‘Pentene Shampoo’. 12% used both ‘Head and Shoulder’and ‘Clinic Plus’ and 10% used both ‘Clinic Plus’ and ‘Pentene’ only.

Q78. How many people used both ‘Head and Shoulder’ and ‘Pentene’ only if 8% used all the three?

(a)2750 (b)2500

Q79. How many people used only Pentene if 8% used all the three shampoos?

(a) 5000 (b) 6000

Directions (Qs. 80 and 81): Study the following number diagram carefully and answer accordingly.

Q80. Find the difference between the total of the numbers of set B and the total of the numbers which are exclusive in set A.

(a) 198 (b) 202

Q81. What is the sum of the even numbers of set A and set B?

(a) 242 (b)340

Directions (Qs 82 to 100); Following Questions are accompanied by three statements. You have to determine which statement is/are necessary/ sufficient to answer the question.