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About CIIT ______________ Background The Vision The Institute The Campus The Courses The Environment Extra Curricular Center for Corporate Learning |
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Entrance Examination CIStems Institute of Information Technology, Jaipur Section I Reasoning
Directions for Question 1 to 5: Seven persons – P, Q, R, S, T, U and V – participate in and finish many races. There are no ties for any position at the finish of any of the races. V always finishes
immediately ahead of P. P always finishes
immediately ahead of Q. Either R finishes
first and T finishes last or S finishes first and U or Q finishes last. 1. If in a race V finishes fifth which of the following must be true? a) S finishes 1st b)R finishes 2nd c) T finishes 3rd d)Q finishes 4th e) U finishes last 2. If in a race R finishes first, V can finish not lower than a) second b) third c) fourth d) fifth e) sixth 3. If in a race S finishes second, which of the following will definitely be true? a) P finishes before R b) V finishes before S c) P finishes before V d) Q finishes before T e) U finishes before V 4. If in a race S finishes sixth and Q finishes fifth, which of the following can be true? a) V finishes 1st or 4th b) R finishes 2nd or 3rd c) P finishes 2nd or 5th d) U finishes 2nd or 4th e) T finishes 4th or 5th 5. If in a race R finishes second and Q finishes fifth, which of the following must be true? a) S finishes 3rd b) P finishes 3rd c) V finishes 4th d) T finishes 6th Directions for Question 6 to 10 : Sixth persons A, B, C, D, E and F are friends. In this group four have passed their graduation in Economics (Honors) and one has graduated in Pol. Science and the other in Botany. There are two married couples in the group. No man has done his graduation in Pol. Science and Botany. D is a widower who stays with his married son C among the four Economics graduates, the husband of F earns more money than E who in turn earns less money than B. E gets less pay than her husband B, but not more than F. 6. Who is the unmarried Economics graduate in the group? a) E b) B c) C d) A 7. Of the following who is a lady? a) B b) C c) F d) A 8. Who among the following earns the least? a) B b) F c) C d) E 9. Who can be a Pol. Science graduate? a) A b) C c) B d) F 10. Who is the husband of F. a) A b) C c) B d) F Directions for questions 11 to 16 : A travel agent is arranging tours which visit various cities : L, M, N, O, P, Q, R, S and T. Each tour must be arranged in accordance with the following restrictions: If M is included in a
tour, both Q and R must also be included. P can be included in a
tour only if O is also included If Q is included in a
tour, M must be included along with N or T or both P and Q cannot both be included in a tour A tour cannot include
Q, R and T. A tour cannot include
N, S and R. A tour cannot include
L and R. 11. If O is included in a tour, what is the minimum number of other cities which must be included in the tour? a) 0 b) 3 c) 4 d) 2 12. If M is included in a tour, what is the minimum number of other cities which must be included in the tour? a) 2 b) 3 c) 4 d) 5 e) 6 13. Which of the following cities cannot be included in a tour which includes P? a) M b) N c) O d) S e) R 14. Which of the following is an acceptable group of cities for a tour? a) M,N,O,P b) M,N,Q,R c) M,N,Q,S d) L,M,Q,R e) N,S,R,T 15. Which one city would have to be deleted from the group M, Q, O, R, T to form an acceptable tour? a) M b) Q c) O d) R e) T 16. Which of the following could be made into an acceptable tour by adding exactly one more city? a) L,O,R b) M,P,Q c) M,Q,R d) N,S,R e) R,T,P Directions for questions 17 to 21: A child is stringing 11 different colored heads on a string. Of the 11, four are
yellow, three are red, two are blue, and two are green. The red beads are
adjacent to one another. The blue beads are
adjacent to one another The green beads are
not adjacent to one another. A red head is at one
end of the string and a green head is at the other end. 17. If the sixth and seventh beads are blue and the tenth bead is red, which of the following must be true? a) The second bead is green b) The fifth bead is yellow c) The eighth bead is green d) A green bead is next to yellow bead e) A blue bead is next to a green bead. 18. If the four yellow beads are next to each other, and if the tenth bead is yellow, which of the following beads must be blue ? a) The fourth b) The fifth c) The sixth d) The seventh e) The eighth 19. If each blue bead is next to a green bead, and if the four yellow beads are next to each other, then which of the following beads must be yellow? I. The Fourth II. The fifth III. The Sixth IV. The seventh a) I and II only b) II and III only c) III and IV only d) I, II and III e) II, III and IV 20. If the fifth and sixth beads are blue and the ninth bead is red, which of the following must be true ? a) One of the green beads is next to a blue bead b) One of the red beads is next to a green bead c) The first bead is Red d) The second bead is yellow e) The eighth bead is yellow 21. If one green bead is next to a red bead and the other green bead is next to a blue bead. Which of the following must be true? I. The fourth or eighth bead is green II. The sixth bead is blue III. Each green bead is next to at least one yellow bead. a) I only b) II only c) I & II only d) I & III only e) I, II & III Directions for questions 22 to 25 : A farmer has three fields, 1, 2, and 3 and is deciding which crops to plant. The crops are F, F, H, I and J. F will grow only in
fields 1 and 3, but in order for F to grow it must be fertilized with X. G will grow in fields
1,2, and 3, but in order for G to grow, fertilizer X must not be used. H will grow in fields
1,2, and 3, but in order for H to grow in field 3, it must be fertilized with
Y. I will grow only in fields 2 and 3, but in order for I to grow in field 2 it must be sprayed with pesticide Z, and in order for I to grow in field 3, it must not be sprayed with Z. J will grow only in
field 2, but in order for J to grow, H
must not be planted in the same field. All the crops are planted and harvested at the same time. More than one crop may be planted in a field. 22. It is possible to grow which of the following pairs of crops together in field 1? I. F & G II. G & H III. F & H IV. H & J a) I & II only b) I & III only c) II & III only d) I, II & III only e) II, III & IV only 23. It is possible for which of the following groups of crops to grow together in field 2 ? a) F, G & H b) F, H & I c) G,H & J d) G,I, & J e) H, I, & J 24. Which of the following is a complete and accurate listing of all crops that will grow alone in field 2 if the only pesticide or fertilizer used is Y ? a) F b) F & H c) G & H d) G, H & J e) G, H, I & J 25. Which of the following pairs of crops will grow together in field 3 if no other crops are planted in the field and no fertilizers or pesticides are applied? a) F & H b) F & I c) G & H d) G & I e) H & J Section II Language
Ability
Directions for questions 1 to 5 : Read the passage and answer these question. Although stage plays have been set to music since the era of the ancient Greeks, when the dramas of Sophocles and Aeschylus were accompanied by lyres and flutes, the usually accepted date for the beginning of opera as we know it is 1600. As part of the celebration of the marriage of King Henry IV of France to the Italian aristocrat Maria de Medici, the Florentine composer Jacopo Peri produced his famous Euridice, generally considered to be the first opera. Following his example, a group of Italian musicians, poets, and nobleman called the Cemerata began to revive the style of musical story that had been used in Greek tragedy. The Camerata took most of the plots for their operas from Greek and Roman history and mythology, writing librettos or dramas for music. They called their compositions opera in mythology, writing librettos or dramas for music. They called their compositions opera in musica or musical works. It is from this phrase that the word “opera” is borrowed. For several years, the center of opera was Florence, but gradually, during the baroque period, it spread throughout Italy. By the late 1600s, operas were being written and performed in Europe, especially in England, France and Germany. But, for many years, the Italian opera was considered the ideal, and many non-Italian composers continued to use Italian librettos. The European form de-emphasized the dramatic aspect. New orchestral effects and even ballet were introduced under the guise of opera. Composers gave in to the demands of singers, writing many operas that were nothing more than a succession of brilliant tricks for the voice. Complicated arias, recitatives, and duets evolved. The aria, which is long solo, may be compared to a song in which the characters express their thoughts and feelings. The recitative, which is also a solo, is a recitation set to music whose purpose is to continue the story line. The duet is a musical piece written for two voices, which may serve the function of either an aria or a recitative. 1. This passage is a summary of a) Opera in Italy b) The Camerata c) The development of opera d) Euridice 2. According to this passage, when did modern opera begin? a. In the time of the ancient Greeks b) In the fifteenth century c) At the beginning of the sixteenth century d) At the beginning of the seventeenth century 3. The word “it” in line 3 refers to a) opera b) date c) era d) music
4. According to the author, what did Jacopo Perri write? a) Greek tragedy b) The first opera c) The opera Maria de Medici d) The opera the Camerata 5. The author suggests that Earidice was produced a) In France b) Originally by Sophocles and Aeschylus c) without much success d) for the wedding of King Henry IV Directions for questions 6 to 15 : Choose the word or phrase that fills the blank : 6. If the Normans had not invaded England in the tenth century, the English language _________ in a very different way a) develop b) developed c) would develop d) would have developed 7. In the Wizard of Oz, the wizard could not help Dorothy ______________. a) that she return to Kansas b) return to Kansas c) Returning to Kansas d) returned Kansas 8. If teaching ______ more, fewer teachers would leave the profession. a) pays b) is paying c) paid d) had paid 9. It is necessary ________ the approaches to a bridge, the road design, and the alignment in such a way as to best accommodate the expected traffic flow over and under it. a) plan b) to plan c) planning d) the plan 10. According to the Christian Bible, when the disciples saw Jesus after he had risen from the dead, they said _________. a) It is him b) it is he c) it is his d) it is himself 11. Ancient civilizations such as those of the Phoenicians and the Mesopotamians _____ goods rather than use money. a) use to trade b) is used to trade c) used to trade d) was used to trade 12. If a ruby is heated it ______ temporarily lose its color. a) would b) will c) does d) has 13. To generate income, magazine publishers must decide whether to increase the subscription price or _______. a) to sell advertising b) if they should sell advertising c) selling advertising d) sold advertising 14. For the investor who ______ money, silver or bonds are good options. a) has so little a b) has very little c) has so few d) has very few 15. Travelers _______ their reservations well in advance if they want to fly during the Christmas holidays. a) had better to get b) had to get better c) had better get d) had better got Directions for questions 16 to 20 Mark the choice, which is nearest in meaning to the given word. 16. ABASH : a) debase b) disgrace c) humiliate d) disappoint 17. ABERRATION a) variation b) eccentricity c) temporal d) pastoral 18. BENIGN a) humane b) rural c) temporal d) pastoral 19. FISSURE : a) slit b) chasm c) fusion d) ravine 20. HEGEMONY a) isotopes b) leadership c) rule d) forecast Section III Numerical
Ability
1. The average height of 30 girls out of a class of 40 is 160 cms. And that of the remaining girls is 156 cms. The average height of the whole class is : a) 158 cms b) 158.5 cms c) 159 cms d) 159.5 cms 2. The average score of a cricketer for 10 matches is 43.9 runs. If the average for the first six matches is 53, the average for last four matches is : a) 17.15 b) 29.75 c) 30.25 d) 31 3. The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member. The difference between the ages of old and new member is : a) 2 years b) 4 years c) 8 years d) 15 years 4. If a : b = c : d, then (ma+nc) is equal to : ------------ (mb+nd) a) m : n b) na : mb c) a : b d) md : nc 5. The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. The total number of students before the increase were a) 10 b) 90 c) 100 d) none of these 6. A and B are two alloys of gold and copper prepared by mixing metals in proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the proportion of gold and copper in C will be : a) 7 : 13 b) 7 : 5 c) 2 : 11 d) none of these 7. Jagmohan, Roopal and Pandeyji rented a video cassette for one week at a rent of Rs. 350/- If they used it for 6 hours, 10 hours and 12 hours respectively, the rent to be paid by Pandeyji is : a) Rs. 75 b) Rs. 125 c) Rs. 135 d) Rs. 150 8. A, B, C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5, after 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B’s share in the profit is : a) Rs.2100 b) Rs. 2400 c) Rs. 3600 d) Rs. 4000 9. Alok bought 25 kg of rice at the rate of Rs. 6 per kg. And 35 kg. Of rice at the rate of Rs. 7 per kg. He mixed the two and sold the mixture at the rate of Rs. 6.75 per kg. What was his gain or loss in the transaction? a) Rs. 16 gain b) Rs. 16 loss c) Rs. 20 gain d) none of these 10. A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in a) no loss or gain b) loss of Rs.1000 c) gain of Rs.1000 d) gain of Rs.2000 11. A man sold an article for Rs. 75 and lost something. Had he sold it for Rs. 96, his gain would have been double the former loss. The price of the article is : a) 82 b) 80 c) 90 d) none of these 12. Sunil completes a work in 4 days whereas Dinesh completers the work in 6 days. Ramesh works 1 ½ times as fast as Sunil. How many days it will take for the three together to complete the work ? a) 7/12 b) 1 5/12 c) 1 5/7 d) none of these 13. If 3 men or 4 women can construct a wall in 43 days, then the number of days, that 7 men and 5 women take to construct it, is : a) 12 b) 18 c) 24 4d) 30 14. 2 men and 3 women can finish a piece of work in 10 days, while 4 men can do it in 10 days. In how many days will 3 men and 3 women finish it? a) 6 days b) 5 2/3 days c) 8 days d) 8 1/3 days 15. Which of the following is in ascending order? a) 5/7, 7/8, 9/11 b) 5/7, 9/11, 7/8 c) 7/8, 5/7, 7/9 d) 7/9, 3/5, 5/7 16. The least multiple of 7, which leaves a remainder of 4, when divided by 6,9, 15 and 18 is : a) 74 b) 94 c) 184 d) 364 17. What percent is ¾ of 5/6 ? a) 60% b) 75% c) 80% d) 90% e. 111% 18. A circle graph of a budget shows the expenditure of 26.2% for housing, 28.4 for food, 12% for clothing, 12.7 % for taxes, and the balance for miscellaneous items. The percent for miscellaneous items is a) 79.3 b) 70.3 c) 29.7 d) 20.7 19. A piece of wood weighing 10 ounces is found to have a weight of 8 ounces after drying. The moisture content was a) 80% b) 40% c) 33 1/3 % d) 35% e. 20% 20. Six quarts of a 20% solution of alcohol in water are mixed with 4 quarts of a 60% solution of alcohol in water. The alcoholic strength of the mixture is a) 805 b) 40% c) 36% d) 33 1/3 % e. 10% 21. The population of Stormville has increased from 80,000 to 100,000 in the last 20 years. Find the percent of increase a) 20 b) 25 c) 80 d) 80 e. 10 22. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If an object made of this alloy weighs 77 lb., how many pounds of aluminum does it contain? a) 0.7 b) 7.0 c) 7.7 d) 70.7 e. 77.0 23. Combine ½ Ö 180 + 1/3 Ö 45 – 2/5 Ö 20 a) 3 Ö10 + Ö15 + 2 Ö2 b) 16/5 Ö5 c) Ö97 d) 24/5 Ö5 e) none of these 24. Which of the following square roots can be found exactly? a) Ö.4 b) Ö.9 c) Ö.09 d) Ö.02 e. Ö.025 25. A dealer mixes a pounds of nuts worth b cents per pound with c pounds of nuts worth d cents per pound. At what price should he sell a pound of the mixture if he wishes to make a profit of 10 cents per pound? a) (ab+cd) / (a+c) + 10 b) (ab+cd)/(a+c)+.10 c) (b+d)/(a+c)+10 d) (b+d)/(a+c)+.10 e. (b+d)+10/(a+c) 26. The value of a fraction is 2/5. If th numerator is decreased by 2 and the denominator increased by 1, the resulting fraction is equivalent to ¼. Find the numerator of the original fraction. a) 3 b) 4 c) 6 d) 10 e. 15 27. A rectangular bin 4 feet long, 3 feet wide, and 2 feet high is solidly packed with bricks whose dimensions are 8 inches, 6 inches and 2 inches. The number of bricks in the bin is a) 54 b) 320 c) 648 d) 848 e. none of these 28. In two hours, the minutes hand of a clock rotates thorough an angle of a) 90° b) 180° c) 360° d) 720° e. 1080° 29. The length of each side of a square is 3x / 4 + 1. What is the perimeter of the square? a) x +1 b) 3x + 1 c) 3x + 4 d) 9x2/16+3x/2+1 e) It cannot be determined from the information given 30. If b books can be purchased for d dollars, how many books can be purchased for m dollars? a) bm/d b) bdm c) d/bm d) b+m/d e. b-m/d 31. Paul is standing 180 yards due north of point P. Franny is tanding 240 yards due west of point P. What is the shortest distance between Franny and Paul ? a) 60 yards b) 300 yards c) 420 yards d) 900 yards e. 9,000 yards 32. If a rectangle has an area of 81x2 and a length of 27x, then what is its width? a) 3x b) 9x c) 3x2 d) 9x2 e. 2,128x3 33. A person is standing on a staircase. He walks down 4 steps, up 3 steps, down 6 steps, up 2 steps, up 9 steps, down 6 steps, up 2 steps, up 9 steps, and down 2 steps. Where is he standing in relation to the step on which he started? a) 2 steps above b) 1 step above c) the same place d) 1 step below e. none of these 34. Hans is taller than Getrude, but he is shorter than Wilhelm. If Hans, Gertrude, and Wilhelam are heights x, y, and z, respectively, which of the following accurately expresses the relationships of their heights? a) x > y > z b) x < y < z c) y > x > z d) z < x < y e. z>x>y 35. If n is a positive integer and 95 and 135 are divided by n, and the remainders are 5 and 3 respectively, then n = a) 6 b) 8 c) 10 d) 15 e. 21 36. A student conducts an experiment in biology lab and discovers that the ratio of the number of the sects in a given population having characteristic X to the number of insects in the population not having characteristic X is 5:3, and that 3/8 of the insects having characteristic X are male insects. What proportion of the total insects population are male insects having the characteristic X? a) 1 b) 5/8 c) 6/13 d) 15/64 e. 1/5 37. A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter’s are both as 3:1. If the daughter gets Rs. 10000 less than the son, what was the whole property worth ? a) Rs.11250 b) 37500 c) 16250 d) 15250 e. 20000 38. Which of the following numbers does NOT satisfy the inequality 5x – 2 < 3x – 1? a) 1 b) 0 c) -1 d) -2 e. -3 39. If x is an even integer and y is an odd integer, then which of the following is an even integer? a) x2+y b) x2-y c) (x2)(y) d) x+y e. x-y 40. In a certain group of people, 3/8 of the people are men, and 2/3 of the men have brown eyes. If ¾ of the people have brown eyes, then what fraction of the group are women who do not have brown eyes? a) 1/8 b) 3/16 c) ¼ d) 5/16 e. 3/8 41. In what proportion should one variety of oil at Rs. 9.50 a kg. Be mixed with another at Rs.10 per kg. to get a mixture worth Rs. 9.60 per kg? 77 a) 1:4 b) 310:4 c) 4:1 d) 2:1 e. 1:3 42. A girl rode her bicycle from home to school, a distance of 15 miles, at an average speed of 15 miles per hour. She returned home from school by walking at an average speed of 5 miles per hour. What was her average speed for the round trip if she took the same route in both directions? a) 7.5 miles/hr. b) 10 miles/hr. c) 12.5 miles/hr. d) 13 miles/hr. e. 25 miles/hr. 43. Ned is two years older than Mike, who is twice as old as Linda. If the ages of the three total 27 years, how old is Mike ? a) 5 years b) 8 years c) 9 years d) 10 years e. 12 years 44. A taxicab charges $1.00 for the first one-fifth mile of a trip and 20c for each following one-fifth or part thereof. If a trip is 2 ½ miles long, what will be the fare? a) $2.60 b) $3.10 c) $3.20 d) $3.40 e. $3.60 45. A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in a) (x-y) hours b) (y-x) hours c) xy/(x-y) hours d) xy/(y-x) hours 46. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank is : a) 5260 ltrs. b) 5760 ltrs. c) 5846 ltrs d) 6970 ltrs. 47. A boy goes to school with a speed of 3 km/hr. and returns to the village with a speed of 2 km/hr. If he takes 5 hours in all, the distance between the village and the school is : a) 6 km b) 7 km c) 8 km d) 9 km 48. Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour: a) 9 b) 10 c) 12 d) 20 49. The ratio between the rates of travelling of A and B is 2 : 3 and therefore, A takes 10 minutes more than the time taken by B to reach a destination. If A had walked at double the speed, he would have covered the distance in: a) 30 min b) 25 min c) 15 min d) 20 min 50. Two trains running in the same direction at 40 kmph and 22 kmph completely pass one another in 1 minute. If the length of the first train is 125 meters, the length of second train is a) 125 mtrs. b) 150 mtrs. c) 200 mtrs. d) 175 mtrs. 51. A train takes 5 seconds to pass an electric pole. If the length of the train is 120 meters, the time taken by it to cross a railway platform 180 meters long is: a) 12 ½ seconds b) 7 ½ seconds c) 6 ½ seconds d) 3 1/3 seconds 52. A tree increases annually by 1/8th of its height. By how much will it increase after 2 years, if it stands today 64 cm high? a) 72 cm b) 74 cm c) 75 cm d) none of these 53. The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 420. The simple interest on the same sum at the same rate and for the same time will be : a) Rs.350 b) Rs. 375 c) Rs.380 d) Rs.400 54. A verandah 40 meters long, 15 meters broad is to be paved with stones, each measuring 6 dm by 5 dm. The number of stones required is : a) 1000 b) 2000 c) 3000 d) none of these 55. If the side of a square be increased by 4 cms, the area increases by 60 sq.cms. The side of the square is: a) 12 cms b) 13 cms c) 14 cms. d) none of these 56. The length of a rectangle is doubled while its breadth is halved. What is the percentage change in area? a) 50 b) 75 c) no change d) none of these 57. Bricks are worth Rs. 750/- per 1000 and their length, breadth and height 25 cm, 12.5 cm and 7.5 cm respectively. The cost of bricks required to build a wall 200 m long, 1.8 m high and 37.5 cm thick, is: a) Rs.42600 b) Rs.43200 c) 40750 d) Rs.41860 58. A hollow garden roller 63 cm wide with a periphery of 440 cm is made of iron 4 cm thick. The volume of iron used is : a) 56372 cm3 b) 58752 cm3 c) 54982 cm3 d) none of these 59. The ratio of two cylinders are in the ratio of 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is : a) 27 : 90 b) 20 : 27 c) 4 : 9 d) 9 : 4 60. Today is 1st August. The day of the week is Monday. This is a leap year. The day of the week on this day after 3 years will be: a) Wednesday b) Thursday c) Friday d) Saturday 61. On January 12, 1980, it was Saturday. The day of the week on January 12, 1979 was : a) Saturday b) Friday c) Sunday d) Thursday 62. At what time between 7 and 8 will the hands of a clock be in the same straight line, but not together? a) 5 mts. past 7 b) 5 2/11 mts. Past 7 c) 5 3/11 mts. Past 7 d) 5 5/11 mts. Past 7 63. 4 2/17 / 1 2/5 x 2 /33 = ? a) 4 2/33 b) 6 2/33 c) 6 1/11 d) 8 1/11 64. If Ö24 = 4.899, then the value of Ö 8/3 is a) 0.544 b) 2.666 c) 1.633 d) 0.173 65. The cube root of .000027 is: a) .3 b) .03 c) .003 d) none of these 66. The length of diagonal of a square is 8 cm. The length of the side of the square is: a) 2 cm b) 2.8 cm c) 1.414 cm d) 5.64 cm 67. The number .05 is how many per cent of 20: a) 25 b) .025 c) .25 d) 2.5 68. 72% of the students of a certain class took Biology and 44% took Mathematics. If each student took Biology or Mathematics and 40 took both, the total number of students in the class was : a) 200 b) 240 c) 250 d) 320 69. In measuring the side of a square, an error of 5% in excess is made. The error per cent in the calculated area is : a) 10% b) 10.25% c) 10.5% d) 25% 70. The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by : a) 20% b) 36% c) 50% d) 56% 71. If the length of a rectangle is increased by 20%, and the width of the same rectangle is decreased by 20%, then the area of the rectangle a) decreases by 20% b) decreases by 4% c) is unchanged d) increases by 20% e) increases by 40% 72. A survey of n people found that 60 percent preferred brand A. An additional x people were surveyed who all preferred brand A. Seventy percent of all the people surveyed preferred brand A. Find x in terms of n. a) n/6 b) n/3 c) n/2 d) n e) 3n 73. If n and p are both odd numbers, which of the following numbers must be an even number ? a) n+p b) np c) np+2 d) n+p+1 e) 2n+p 74. It is 185 miles from Binghamton to New York City. If a bus takes 2 hours to travel the first 85 miles, how long must the bus take to travel the final 100 miles in order to average 50 miles an hour for the entire trip? a) 60 min b) 75 min c) 94 min d) 102 min e) 112 min 75. If x + y = 6 and 3x – y = 4, then x-y is equal to a) -1 b) 0 c) 2 d) 4 e) 6 |
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