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Directions: Solve each CAT sample quantitative ability problem and indicate the best of the answer choices given..

Numbers: All numbers used are real numbers.

Figures: A figure accompanying a CAT sample quantitatove ability problem solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. straight lines may sometimes appear jagged. All figures lie on a plane unless otherwise indicated.

Following are some CAT sample quantitative ability questions.

  1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by :
    1. 4
    2. 144
    3. 12
    4. 2
    5. None of the above.

    Ans : A

  2. A motorcycle stunts man belonging to a fair, rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is:
    1. 2.5 kms
    2. 3.5 kms
    3. 4.5 kms
    4. 5.5 kms
    5. None of the above

    Ans : C

  3. If 1 cm on a map corresponds to an actual distance of 40 kms. And the distance on the map between Bombay and Calcutta is 37.5 cms., the actual distance between them is :
    1. 375 kms
    2. 3750 kms
    3. 1500 kms
    4. 1375 kms
    5. None of the above

    Ans : C

  4. A box contains 90 mts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is :
    1. 10 kg
    2. 10.5 kg
    3. 11 kg
    4. 11.5 kg
    5. None of the above

    Ans : D

  5. If the radius of a circle is increased by 20% then the area is increased by :
    1. 44%
    2. 120%
    3. 144%
    4. 40%
    5. None of the above

    Ans : A

  6. Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is
    1. 120
    2. 200
    3. 60
    4. 24
    5. 36

    Ans : E

  7. If 3/p = 6 and 3/q = 15 then p - q = ?
    1. 1/3
    2. 2/5
    3. 3/10
    4. 5/6
    5. None of the above

    Ans : C

  8. A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time. Hence the father's present age is
    1. 36
    2. 42
    3. 45
    4. 48
    5. None of the above

    Ans : C

  9. (1/4)3 + (3/4)3 + 3(1/4)(3/4)(1/4 + 3/4) =?
    1. 1/64
    2. 27/64
    3. 49/64
    4. 0
    5. 1

    Ans : E

  10. If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is
    1. 10 : 11
    2. 11 : 12
    3. 12 : 13
    4. 13 : 14
    5. None of the above

    Ans : D

  11. Which of the following is the greatest ?
    1. 40% of 30
    2. 3/5 of 25
    3. 6.5% of 200
    4. Five more than the square of 3
    5. 1/2-4

    Ans : E

  12. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ?
    1. 5 minutes
    2. 10 minutes
    3. 15 minutes
    4. 20 minutes
    5. None of the above

    Ans : C

  13. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of the decrease?
    1. 4
    2. 8
    3. 12
    4. 16
    5. 20

    Ans : D

  14. If a building b feet high casts a shadow f feet long, then, at the same time of day, a tree t feet high will cast a shadow how many feet long?
    1. ft/b
    2. fb/t
    3. b/ft
    4. tb/f
    5. t/fb

    Ans : A

  15. If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer?
    1. xyz
    2. (x - y) (y - z)
    3. x - yz
    4. x(y + z)
    5. x + y + z

    Ans : B

  16. At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?
    1. 12
    2. 16
    3. 20
    4. 24
    5. 30

    Ans : C

  17. What is the greatest value of a positive integer n such that 3n is a factor of 1815?
    1. 15
    2. 18
    3. 30
    4. 33
    5. 45

    Ans : C

  18. If .2t = 2.2 - .6s and .5s = .2t + 1.1, then s =
    1. 1
    2. 3
    3. 10
    4. 11
    5. 30

    Ans : B

  19. Five years ago, Beth's age was three times that of Amy. Ten years ago, Beth's age was one half that of Chelsea. If C repre- sents Chelsea's current age, which of the following represents Amy's current age?
    1. c/6 + 5
    2. 2c
    3. (c-10)/3
    4. 3c-5
    5. 5c/3 - 10

    Ans : A

  20. A portion of $7200 is invested at a 4% annual return, while the remainder is invested at a 5% annual return. If the annual income from both portions is the same, what is the total income from the two investments?
    1. $160
    2. $320
    3. $400
    4. $720
    5. $1,600

    Ans : B

  21. An empty swimming pool can be filled to capacity through an inlet pipe in 3 hours, and it can be completely drained by a drainpipe in 6 hours. If both pipes are fully open at the same time, in how many hours will the empty pool be filled to capacity?
    1. 4
    2. 4.5
    3. 5
    4. 5.5
    5. 6

    Ans : E

  22. If r = (3p + q)/2 and s = p - q, for which of the following values of p would r2 = s2?
    1. 1q/5
    2. 10 - 3q/2
    3. q - 1
    4. 3q
    5. 9q/2 - 9

    Ans : A

  23. At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour, which of the following represents the speed of the faster train, in miles per hour?
    1. 38
    2. 40
    3. 44
    4. 48
    5. 50

    Ans : C

  24. On the xy-coordinate plane, points A and B both lie on the circumference of a circle whose center is O, and the length of AB equals the circle's diameter. If the (x,y) coordinates of O are (2,1) and the (x,y) coordinates of B are (4,6), what are the (x,y) coordinates of A?
    1. (3, 3/2)
    2. (1, 2/2)
    3. (0, -4)
    4. (2/2, 1)
    5. (-1, -2/2)

    Ans : C

  25. If a rectangle's length and width are both doubled, by what percent is the rectangle's area increased?
    1. 50
    2. 100
    3. 200
    4. 300
    5. 400

    Ans : D

  26. A rectangular tank 10" by 8" by 4" is filled with water. If all of the water is to be transferred to cube-shaped tanks, each one 3 inches on a side, how many of these smaller tanks are needed?
    1. 9
    2. 12
    3. 16
    4. 21
    5. 39

    Ans : B

  27. Point Q lies at the center of the square base (ABCD) of the pyramid pictured above. The pyramid's height (PQ) measures exactly one half the length of each edge of its base, and point E lies exactly halfway between C and D along one edge of the base. What is the ratio of the surface area of any of the pyramid's four triangular faces to the surface area of the shaded triangle?
    1. 3 :√2
    2. √5:1
    3. 4√3:3
    4. 2√2:1
    5. 8:√5

    Ans : D

  28. The average wages of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wages was Rs.87/day and the average wages during the last 7 days was Rs.92 /day. What was his wage on the 8th day?
    1. 83
    2. 92
    3. 90
    4. 97

    Ans : D

  29. The average of 5 quantities is 6. The average of 3 of them is 8. What is the average of the remaining two numbers?
    1. 6.5
    2. 4
    3. 3
    4. 3.5

    Ans : C

  30. The average temperature on Wednesday, Thursday and Friday was 250. The average temperature on Thursday, Friday and Saturday was 240. If the temperature on Saturday was 270, what was the temperature on Wednesday?
    1. 240
    2. 210
    3. 270
    4. 300

    Ans : D

  31. The average age of a group of 12 students is 20years. If 4 more students join the group, the average age increases by 1 year. The average age of the new students is
    1. 24
    2. 26
    3. 23
    4. 22

    Ans : A

  32. When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?
    1. 57 kgs
    2. 56.8 kgs
    3. 58.2 kgs
    4. 52.2 kgs

    Ans : A

  33. Three math classes: X, Y, and Z, take an algebra test.
    The average score in class X is 83.
    The average score in class Y is 76.
    The average score in class Z is 85.
    The average score of all students in classes X and Y together is 79.
    The average score of all students in classes Y and Z together is 81.

    What is the average for all the three classes?

    1. 81
    2. 81.5
    3. 82
    4. 84.5

    Ans : B

  34. The average weight of a class of 24 students is 36 years. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher?
    1. 60 kgs
    2. 61 kgs
    3. 37 kgs
    4. None of these

    Ans : B

  35. The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2?
    1. 11
    2. 12
    3. 11.5
    4. 12.5

    Ans : C

  36. The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?
    1. 13.5
    2. 14
    3. 15
    4. 12.5

    Ans : D

  37. A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?
    1. 8
    2. 6
    3. 2
    4. 4

    Ans : C

  38. Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.
    1. 1044
    2. 2088
    3. 720
    4. 324

    Ans : B

  39. A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?
    1. Rs. 17.5 lakhs
    2. Rs. 21 lakhs
    3. Rs. 15 lakhs
    4. Rs. 20 lakhs

    Ans : B

  40. What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
    1. 2400
    2. 2592
    3. 2678
    4. 2540

    Ans : B

  41. If a sum of money grows to 144/121 times when invested for two years in a scheme where interest is compounded annually, how long will the same sum of money take to treble if invested at the same rate of interest in a scheme where interest is computed using simple interest method?
    1. 9 years
    2. 22 years
    3. 18 years
    4. 33 years

    Ans : B

  42. The population of a town was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually?
    1. 6000
    2. 6400
    3. 7200
    4. 9600

    Ans : B

  43. A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year.
    1. 5624.32
    2. 5630.50
    3. 5788.125
    4. 5627.20

    Ans : A

  44. The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?
    1. 9000
    2. 6250
    3. 8530.80
    4. 8780.80

    Ans : D

  45. Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10%?
    1. Rs.40,000
    2. Rs.40,000
    3. Rs.12,000
    4. Rs.20,000

    Ans : B

  46. A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested?
    1. 25 years
    2. 40 years
    3. 33 years and 4 months
    4. Cannot be determined

    Ans : A

  47. How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?
    1. 8 years
    2. 64 years
    3. 72 years
    4. 56 years

    Ans : D

  48. Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.
    1. 2088
    2. 2000
    3. 3087
    4. None of these

    Ans : C

  49. Find the coordinates of the point which divides the line joining (5, -2) and (9, 6) internally in the ratio 1 : 3.
    1. (6, 0)
    2. (6, 3)
    3. (0, 6)
    4. (3, 6)

    Ans : A

  50. Find the number of triangles in an octagon.
    1. 326
    2. 120
    3. 56
    4. Cannot be determined

    Ans : C

  51. Find the equation of a line whose intercepts are twice of the line 3x - 2y - 12 = 0
    1. 3x - 2y = 24
    2. 2x - 3y = 12
    3. 2x - 3y = 24
    4. None of these

    Ans : A

  52. Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm.
    1. 77 sq.cm
    2. 38.5 sq.cm
    3. 35 sq.cm
    4. 70 sq.cm

    Ans : B

  53. Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5).
    1. 36
    2. 18
    3. 15
    4. 30

    Ans : C

  54. A stairway 10ft high is such that each step accounts for half a foot upward and one-foot forward. What distance will an ant travel if it starts from ground level to reach the top of the stairway?
    1. 30 ft
    2. 33 ft
    3. 10 ft
    4. 29 ft

    Ans : D

  55. Each interior angle of a regular polygon is 120 degrees greater than each exterior angle. How many sides are there in the polygon?
    1. 6
    2. 8
    3. 12
    4. 3

    Ans : C

  56. What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?
    1. lw/3
    2. (2lw)/3
    3. (3lw)/4
    4. (lw)/2

    Ans : D

  57. Which of the following is inCorrect?
    1. An incentre is a point where the angle bisectors meet.
    2. The median of any side of a triangle bisects the side at right angle.
    3. The point at which the three altitudes of a triangle meet is the orthocentre
    4. The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

    Ans : B

  58. A and B are two points with the co-ordinates (-2, 0) and (0, 5). What is the length of the diagonal AC if AB form one of the sides of the square ABCD?
    1. units
    2. units
    3. units
    4. units

    Ans : B

  59. A regular hexagon is inscribed in a circle of radius r cms. What is the perimeter of the regular hexagon?
    1. 3r
    2. 6r
    3. r
    4. 9r

    Ans : B

  60. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?
    1. 4%
    2. 300%
    3. 75%
    4. 400%

    Ans : B

  61. If the diagonal and the area of a rectangle are 25 m and 168 m2, what is the length of the rectangle?
    1. 17 m
    2. 31 m
    3. 12 m
    4. 24 m

    Ans : D

  62. The surface area of the three coterminous faces of a cuboid are 6, 15, 10 sq.cm respectively. Find the volume of the cuboid.
    1. 30
    2. 20
    3. 40
    4. 35

    Ans : A

  63. If each interior angle of a regular polygon is 150 degrees, then it is
    1. Octagon
    2. Decagon
    3. Dodecagon
    4. Tetrahedron

    Ans : C

  64. Two numbers when divided by a certain divisor leave remainders of 431 and 379 respectively. When the sum of these two numbers is divided by the same divisor, the remainder is 211. What is the divisor?
    1. 599
    2. 1021
    3. 263
    4. Cannot be determined

    Ans : A

  65. How many zeros contained in 100!?
    1. 100
    2. 24
    3. 97
    4. Cannot be determined

    Ans : B

  66. Which is greater of the two
    1. 2300
    2. 3200
    3. Both are equal
    4. Cannot be determined

    Ans : B

  67. What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; Where M & N are single digit integers?
    1. 7, 8
    2. 8, 6
    3. 6, 4
    4. 5, 4

    Ans : C

  68. When 26854 and 27584 are divided by a certain two digit prime number, the remainder obtained is 47. Which of the following choices is a possible value of the divisor?
    1. 61
    2. 71
    3. 73
    4. 89

    Ans : C

  69. Find the G.C.D of 12x2y3z2, 18x3y2z4, and 24xy4z3
    1. 6xy2z2
    2. 6x3y4z3
    3. 24xy2z2
    4. 18x2y2z3

    Ans : A

  70. Find the G.C.D of 12x2y3z2, 18x3y2z4, and 24xy4z3
    1. 6xy2z2
    2. 6x3y4z3
    3. 24xy2z2
    4. 18x2y2z3

    Ans : A

  71. The 7th digit of (202)3is
    1. 2
    2. 4
    3. 8
    4. 6

    Ans : C

  72. A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?
    1. Rs. 105 and Rs. 6
    2. Rs. 216 and Rs. 12
    3. Rs. 210 and Rs. 12
    4. Rs. 210 and Rs. 6

    Ans :D

  73. Find the range of real values of x satisfying the inequalities 3x - 2 > 7 and 4x - 13 > 15.
    1. x > 3
    2. x > 7
    3. x < 7
    4. x < 3

    Ans :B

  74. How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?
    1. 16C7 * 7!
    2. 12C4 * 4C3 * 7!
    3. 12C3 * 4C4
    4. 12C4 * 4C3

    Ans : B

  75. In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
    1. 5C3
    2. 5P3
    3. 53
    4. 35

    Ans : D

  76. How many number of times will the digit '7' be written when listing the integers from 1 to 1000?
    1. 271
    2. 300
    3. 252
    4. 304

    Ans : B

  77. There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
    1. 5
    2. 21
    3. 33
    4. 60

    Ans : B

  78. What is the value of 1*1! + 2*2! + 3!*3! + ............ n*n!, where n! means n factorial or n(n-A(n-2)...1
    1. n(n-A(n-A!))
    2. (n+A!)/(n(n-A))
    3. (n+A! - n!)
    4. (n + A! - 1!)

    Ans : D

  79. There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?
    1. 15624
    2. 16384
    3. 6144
    4. 240

    Ans : A

  80. In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?
    1. 10! - 2!
    2. 9! - 2!
    3. 10! - 9!
    4. None of these

    Ans : D

  81. How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits?
    1. 15
    2. 96
    3. 216
    4. 120

    Ans : C

  82. How many words can be formed by re-arranging the letters of the word PROBLEMS such that P and S occupy the first and last position respectively?
    1. 8! / 2!
    2. 8! - 2!
    3. 6!
    4. 8! - 2*7!

    Ans : C

  83. Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 6?
    1. 6! / 4!
    2. 625
    3. 671
    4. 1296

    Ans : C

  84. Rajesh traveled from city A to city B covering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?
    1. His average speed is the harmonic mean of the individual speeds for the two parts.
    2. His average speed is the arithmetic mean of the individual speeds for the two parts.
    3. His average speed is the geometric mean of the individual speeds for the two parts.
    4. Cannot be determined.

    Ans : B

  85. Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?
    1. 356
    2. 277
    3. 357
    4. 267

    Ans : C

  86. A man and a woman 81 miles apart from each other, start travelling towrds each other at the same time. If the man covers 5 miles per hour to the women's 4 miles per hour, how far will the woman have travelled when they meet?
    1. 27
    2. 36
    3. 45
    4. None of these.

    Ans : B

  87. The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream?
    1. 80 km
    2. 180 km
    3. 60 km
    4. 100 km

    Ans : A

  88. Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?
    1. 545.45 metres
    2. 666.67 metres
    3. 857.14 metres
    4. Cannot be determined

    Ans : B

  89. I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?
    1. 4 hours
    2. 2 hours
    3. 3 hours
    4. 2 hours 24 minutes

    Ans : C

  90. By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?
    1. 30 min
    2. 60 min
    3. 70 min
    4. 50 min

    Ans : B

  91. A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
    1. 20 kms
    2. 25 kms
    3. 45 kms
    4. 40 kms

    Ans : B

  92. Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?
    1. 72 kmph
    2. 32 mph
    3. 20 mph
    4. None of these

    Ans : C

  93. Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
    1. 2 hours
    2. 3 hours 20 minutes
    3. 4 hours 40 minutes
    4. 3 hours 12 minutes

    Ans : D

  94. Find the sum of all the integers which are multiples of 7 and lie between 200 and 400.
    1. 8729
    2. 8700
    3. 8428
    4. None of these

    Ans : A

  95. How many digits will the number 3200 have if the value of log 3 = 0.4771?
    1. 95
    2. 94
    3. 96
    4. None of these

    Ans : C

  96. A and B enter in to a partnership and A invests Rs. 10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as his share of the total profit of Rs.19,100 for the year, how much did B invest in the company?
    1. 12,000
    2. 96,000
    3. 8000
    4. 6000

    Ans : C

  97. The sum of the first and the 9th of an arithmetic progression is 24. What is the sum of the first nine terms of the progression?
    1. 216
    2. 108
    3. 54
    4. None of these

    Ans : B

  98. What is the equation of the line that is parallel to the line 3x + 7y = 10 and passes through the point (4, 8)
    1. 7x - 3y = 46
    2. 3x + 7y = 44
    3. 9x + 21y - 184 = 0
    4. 3x + 7y = 68

    Ans : D

  99. Ram and Shyam take a vacation at their grandparents' house. During the vacation, they do any activity together. They either played tennis in the evening or practiced Yoga in the morning, ensuring that they do not undertake both the activities on any single day. There were some days when they did nothing. Out of the days that they stayed at their grandparents' house, they involved in one of the two activities on 22 days. However, their grandmother while sending an end of vacation report to their parents stated that they did not do anything on 24 mornings and they did nothing on 12 evenings. How long was their vacation?
    1. 36 days
    2. 14 days
    3. 29 days
    4. Cannot be determined.

    Ans : C

  100. Ram buys Rs.100 shares at Rs.112. If he sells the shares after a year at Rs.132 after receiving a dividend of 8% just before selling, what is the net yield on his investment?
    1. 17.85%
    2. 6.06%
    3. 32%
    4. 25%

    Ans : D

  101. The sum of 20 terms of the series 12 + 22, 32 + 42, 52 + 62 is:
    1. 210
    2. 519
    3. 190
    4. None of these.

    Ans : A

  102. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
    1. 2
    2. 4
    3. 6
    4. 5

    Ans : B

  103. If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?
    1. 20 days
    2. 40 days
    3. 30 days
    4. 24 days

    Ans : C

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