Go through the data set given below and solve the questions based on it.
The following pie charts show the break-up of the annual expenditures of two private sector
companies:
1. The amount spent on transport by PamTech is what percentage of the amount spent by
RamTech on transport?
(a) 30%
(b) 35%
(c) 40%
(d) 45%
(e) None of these
2. The expenditure on raw material for both companies taken together, is what fraction of the
total expenditure in 2008?
(a) 0.2
(b) 0.25
(c) 0.3
(d) 0.4
(e) None of these
3. Both RamTech and PamTech spend the same amount on which category?
(a) Rent
(b) Transport
(c) Salaries
(d) Others
(e) None of these
4. For which category the difference in expenditure is maximum?
(a) Telephone & Electricity Bill
(b) Transport
(c) Salaries
(d) Raw Material
(e) None of these
5. The amount spent on salaries by PamTech is what percentage more than the amount spent
by RamTech on trent?
(a) 50%
(b) 65%
(c) 60%
(d) 45%
(e) None of these
The total population of the different states in 1993 is 25 lakhs.
States
UP
Bihar
AP
Karnataka
Maharashtra
Tamil Nadu
Kerala
Sex
M–F
4:3
3:2
4:3
4:5
4:5
3:4
5:6
6. Approximately what will be the percentage of total male in UP, Maharashtra and Kerala of
the total population of the given states?
(a) 20%
(b) 25%
(c) 24%
(d) 28%
(e) 22%
7. If in the year 1994 there was an increase of 10% population of UP and 12% of Bihar
compared to the previous year, then what was the ratio of the population of UP to Bihar in
1994?
(a) 27/32
(b) 31/42
(c) 55/84
(d) 23/42
(e) None of these
8. Women of Andhra Pradesh is approximately what percentage of the women of Tamil Nadu?
(a) 60%
(b) 70%
(c) 50%
(d) 55%
(e) None of these
9. What is the ratio of the number of females in Tamil Nadu to the number of females in
Kerala?
(a) 21/138
(b) 242/43
(c) 205/84
(d) 121/84
(e) None of these
10. In Tamil Nadu, if 70% of the females are literate and 75% of the males are literate, what is
the approximate number of illiterate in the state?
(a) 75000
(b) 76500
(c) 77500
(d) 80000
(e) 74500
Study the following graph carefully to answer these question.
Profit Earned = Total income - Total Investment in the year
Per cent profit earned by two companies producing electronic goods over the years
11. If the profit earned in 2006 by Company B was Rs. 8,12,500, what was the total income of
the company in that year?
(a) Rs. 12,50,000
(b) Rs. 20,62,500
(c) Rs. 16,50,000
(d) Rs. 18,25,000
(e) None of these
12. If the amount invested by the two companies in 2005 was equal, what was the ratio of the
total income of the company A to that of B in 2005?
(a) 31:33
(b) 33:31
(c) 34:31
(d) 14:11
(e) None of these
13. If the amount of profit earned by Company A in 2006 was Rs. 10.15 Lakhs, what was the
total investment?
(a) Rs. 13.8 Lakhs
(b) Rs. 14.9 Lakhs
(c) Rs. 15.4 Lakhs
(d) Rs. 14.2 Lakhs
(e) None of these
14. If the amount invested by Company B in 2004 is Rs. 12 Lakhs and the income of 2004 is
equal to the investment in 2005, what is the amount of profit earned in 2005 by Company B?
(a) Rs. 6.6 Lakhs
(b) Rs. 18.6 Lakhs
(c) Rs. 10.23 Lakhs
(d) Rs. 9.6 Lakhs
(e) None of these
15. If each of the companies A and B invested Rs. 25 Lakhs in 2010, what was the average
profit earned by the two companies?
(a) Rs. 18 Lakhs
(b) Rs. 22.5 Lakhs
(c) Rs. 17.5 Lakhs
(d) Rs. 20 Lakhs
(e) None of these
In the following questions two equations I and II are given. You have to solve both the
equations and give answer:
(a) if p > q
(b) if p < q
(c) if p <= q
(d) if p >= q
(e) if p = q or the relationship can't be determined
16.I. 10p2 + 39p - 88 = 0
II. 21q2 + 41q - 40 = 0
17.I. 14p2 - 43p + 20 = 0
II. 33q2 + 72q + 12 = 0
18.I. 56p2 + 97p + 42 = 0
II. 99q2 - 64q + 5 = 0
19.I. 16p2 - 40p + 25 = 0
II. 25q2 - 40q + 16 = 0
20.I. 15p2 + 38p + 24 = 0
II. 20q2 + 49q + 30 = 0
21. A mixture of milk and water contains 7% water. What quantity of pure milk should be
added to 12 litres of mixture to reduce water to 4%?
(a) 5 litres
(b) 6 litres
(c) 7 litres
(d) 8 litres
(e) None of these
22. Present ages of P and Q are in the ratio 4 : 5 respectively. Six years hence the ratio
becomes 7 : 8. What is the sum of the present ages of P and Q?
(a) 18 years
(b) 30 years
(c) 36 years
(d) Can't be determined
(e) None of these
23. A started a business investing Rs 10,000. B joined him after six months with an amount of
Rs 8,000 and C joined them with Rs 12,000 after another six months. The amount of profit
earned should be distributed in what ratio among A, B and C respectively, four years after A
started the business?
(a) 9 : 7 : 10
(b) 10 : 9 : 7
(c) 10 : 7 : 9
(d) Can't be determined
(e) None of these
24. A man bought some fruits at the rate of 4 for Rs 5 and sold them at the rate of 7 for Rs 8.
What is the profit/loss per cent?
(a) 8 (4/7)% profit
(b) 8 (4/7)% loss
(c) 9 (3/8)% profit
(d) 9 (3/8)% loss
(e) None of these
25. A, B and C can do a piece of work in 20, 30 and 100 days respectively. If A worked alone on
the first day, B worked alone on the second day, C worked alone on the third day, A worked
alone on the fourth day, and so on, then in how many days the work got completed?
(a) 29 days
(b) 28 days
(c) 31 (1/2) days
(d) Can't be determined
(e) None of these
What approximate value should come in the place of question mark (?) in the following
questions?
26. 28. 948 + 37.008 + 46.998 – 195.99 – 784.01 = ?
(a) 71
(b) 79
(c) 85
(d) 55
(e) None of these
27. (31.98)2 – (35.02)2 + (19.03)2 = ?2 + √(255)
(a) ± 13
(b) ± 18
(c) ± 9
(d) ± 15
(e) ± 12
28. (779 + 553) ÷ 33. 3 + 528 = ?/9
(a) 5012
(b) 5112
(c) 5462
(d) 5222
(e) 5812
29. 71 – 1596 ÷ 57 ÷ 4 = ?
(a) 62
(b) 54
(c) 68
(d) 64
(e) 66
30. (3496 – 1002) ÷ 43 × 12 = 456 + ?
(a) 220
(b) 260
(c) 240
(d) 250
(e) 280
In each of these questions, two equations numbered I and II with variables x and y are given.
You have to solve both the equations to find the value of x and y. Give answer
(a) if x > y
(b) if x >= y
(c) if x <y
(d) if x <= y
(e) if x = y or relationship between x and y cannot be determined.
31. I. 5x2 – 8x + 3 = 0
II. 3y2 + 5y – 2 = 0
32. I. x8 – (3 * 8)17/2/√x = 0
II. 11/√y + 18/√y = √y
33.I. √169 x 2– 2197 = 0
II. √ (484) y + 132 = 0
34.I. (625)(1/4) x + √ (1225) = 155
II. 225y2 + 18 = 279
35.I. x2 – 7x + 12 = 0
II. y2 – 9y + 20 = 0
36. The frequency distribution data is given below. If the average age is 17 years, the value of
m is
Age (in years): 8 20 26 29.
Number of people: 3 2 m 1
(a) 1
(b) 2
(c) 3
(d) 4
(e) None of these
37. Average rainfall on Monday, Tuesday, Wednesday and Thursday is 420.5 cm and average
on Tuesday, Wednesday, Thursday and Friday is 440.5 cm. If the ratio of rainfall for Monday
and Friday is 20 : 21, find the rainfall in cm on Monday and Friday.
(a) 1800, 1890
(b) 1600, 1680
(c) 1700, 1470
(d) 1682, 1762
(e) None of these
38. A batsman, in his 12th innings, makes a score of 63 runs and thereby increases his
average score by 2. The average of his score after 12 th innings is:
(a) 41
(b) 42
(c) 34
(d) 35
(e) None of these
39. A professional institute’s total expenditure on students for a particular course is partly
fixed and partly varies linearly with the number of students. The average expense per student
is Rs. 615 when there are 24 students and Rs. 465 when there are 40 students. What is the
average expense when there are 60 students?
(a) Rs. 370
(b) Rs. 450
(c) Rs. 350
(d) Rs. 420
(e) Rs. 390
40. The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the
class is 16 and the average age of another 25 boys in the class is 14. What is the average age
of the remaining boys in the class?
(a) 15.25
(b) 14
(c) 14.75
(d) Cannot be determined
(e) None of these
41. If the selling price of an article is Rs 12000, then what is the profit/loss% on it?
Statement I: The ratio of the selling and price and cost price of the article is 4 : 3.
Statement II: The difference between the cost price and selling price of the article is Rs 2000
A) If the data in statement I alone is sufficient to answer the question.
B) If the data in statement II alone is sufficient to answer the question.
C) If the data either in statement I alone or statement II alone are sufficient to answer the
question.
D) If the data given in both I and II together are not sufficient to answer the question.
E) If the data in both the statements I and II together are necessary to answer the question.
42. What is the ratio of ages of A to B?
Statement I: A’s age will be twice B’ age after 5 years.
Statement II: A’ s present age is 5 more than twice B’ present age.
A) If the data in statement I alone is sufficient to answer the question.
B) If the data in statement II alone is sufficient to answer the question.
C) If the data either in statement I alone or statement II alone are sufficient to answer the
question.
D) If the data given in both I and II together are not sufficient to answer the question.
E) If the data in both the statements I and II together are necessary to answer the question.
43. There are 5 people in a group. Average age of the group decreases by 4 when two more people
join the group. Find the average age of the new group.
Statement I: Average age of the two people who joined later is 36 yrs.
Statement II: Total of the ages of people originally was 160 yrs.
A) If the data in statement I alone is sufficient to answer the question.
B) If the data in statement II alone is sufficient to answer the question.
C) If the data either in statement I alone or statement II alone are sufficient to answer the
question.
D) If the data given in both I and II together are not sufficient to answer the question.
E) If the data in both the statements I and II together are necessary to answer the question.
44. What is the rate of interest per annum on a sum of money invested?
Statement I: The difference between the compound interest and simple interest at the end of 2
years at same rate of interest is Rs 80.
Statement II: A compound interest of Rs 4912 is obtained after 3 years of investment.
A) If the data in statement I alone is sufficient to answer the question.
B) If the data in statement II alone is sufficient to answer the question.
C) If the data either in statement I alone or statement II alone are sufficient to answer the
question.
D) If the data given in both I and II together are not sufficient to answer the question.
E) If the data in both the statements I and II together are necessary to answer the question.
45. What is the two digit number?
Statement I: The difference between the digits of the two digit number is 6.
Statement II: The number obtained by interchanging the digits of original number is 26 more
than twice the original number.
A) If the data in statement I alone is sufficient to answer the question.
B) If the data in statement II alone is sufficient to answer the question.
C) If the data either in statement I alone or statement II alone are sufficient to answer the
question.
D) If the data given in both I and II together are not sufficient to answer the question.
E) If the data in both the statements I and II together are necessary to answer the question.
Directions: Each question below contains a statement followed by Quantity I and Quantity II.
Find both to find the relationship among them. Mark your answer accordingly.
46. If the perimeter of square and circle is same, then
Quantity I: the area of square
Quantity II: the area of circle
A) Quantity I > Quantity II
B) Quantity I ≥ Quantity II
C) Quantity II > Quantity I
D) Quantity II ≥ Quantity I
E) Quantity I = Quantity II or Relation cannot be established
47. The principal amount is Rs 12,000
Quantity I: Simple Interest on the sum at the rate of 10% per annum for 3 years
Quantity II: Compound Interest on the sum at rate of 10% compounded semi-annually for one
and a half year.
A) Quantity I > Quantity II
B) Quantity I ≥ Quantity II
C) Quantity II > Quantity I
D) Quantity II ≥ Quantity I
E) Quantity I = Quantity II or Relation cannot be established
48. If the cost price of an article is increased by 40% to make it as the market price of article,
Quantity I: Selling price of article after allowing a discount of 20%, if the cost price is Rs 1,75,000
Quantity II: The cost price of article if after selling article at 20% profit is Rs 2,52,000
A) Quantity I > Quantity II
B) Quantity I ≥ Quantity II
C) Quantity II > Quantity I
D) Quantity II ≥ Quantity I
E) Quantity I = Quantity II or Relation cannot be established
49. Four years ago, the ratio of ages of A and B is 5 : 6 and five years after the ratio will become 6 :
7, then
Quantity I: present age of A
Quantity II: age of B 4 years ago
A) Quantity I > Quantity II
B) Quantity I ≥ Quantity II
C) Quantity II > Quantity I
D) Quantity II ≥ Quantity I
E) Quantity I = Quantity II or Relation cannot be established
50. Quantity I: The largest number if average of 5 consecutive odd numbers is 39.
Quantity II: The smallest number if average of 5 consecutive of odd numbers is 47.
A) Quantity I > Quantity II
B) Quantity I ≥ Quantity II
C) Quantity II > Quantity I
D) Quantity II ≥ Quantity I
E) Quantity I = Quantity II or Relation cannot be established
Directions: In the following questions, two equations numbered are given in variables x and y.
You have to solve both the equations and find out the relationship between x and y. Then give
answer accordinglyA) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
B)
51. I. 3x2 + 22 x + 24 = 0
II. 2y2 + 11y + 12 = 0
52. I. 3x2 + 7x – 6 = 0
II. 6y2 – 35y + 50 = 0
53. I. 4x2 + 13x + 10 = 0
II. 4y2 – 7y – 15 = 0
54. I. 3x2 + 23x + 30 = 0
II. 3y2 – 4y – 4 = 0
55. I. 6x2 + 5x – 1 = 0,
II. 3y2 – 11y + 6 = 0
56. I. 3x2 + 4x – 4 = 0,
II. 4y2 + 5y – 6 = 0
57. I. 5x2 – 36x – 32 = 0,
II. 3y2 – 17y – 6 = 0
58. I. 3x2 – 25x + 52 = 0,
II. 15y2 – 38y – 40 = 0
59. I. 6x2 + x – 2 = 0,
II. 2y2 + 11y + 14 = 0
60. I. 3x2 + 14x – 5 = 0,
II. 3y2 – 19y + 6 = 0
An urn contains some balls colored white, blue and green. The probability of choosing a white
ball is 4/15 and the probability of choosing a green ball is 2/5. There are 10 blue balls.
61. What is the probability of choosing one blue ball?
A) 2/7
B) 1/4
C) 1/3
D) 2/5
E) 3/7
62. What is the total number of balls in the urn?
A) 45
B) 34
C) 40
D) 30
E) 42
63. If the balls are numbered 1, 2, …. up to number of balls in the urn, what is the probability of
choosing a ball containing a multiple of 2 or 3?
A) 3/4
B) 4/5
C) 1/4
D) 1/3
E) 2/3
64. There are 2 brothers A and B. Probability that A will pass in exam is 3/5 and that B will pass in
exam is 5/8. What will be the probability that only one will pass in the exam?
A) 12/43
B) 19/40
C) 14/33
D) 21/40
E) 9/20
65. If three dices are thrown simultaneously, what is the probability of having a same number on all
dices?
A) 1/36
B) 5/36
C) 23/216
D) 1/108
E) 17/216
66. The height of the cone is 24 cm and the curved surface area of cone is 550 cm2. Find its volume.
A) 1200 cm2
B) 1232 cm2
C) 1240 cm2
D) 1260 cm2
E) 1262 cm2
67. The side of a square base of a pyramid increases by 20% and its slant height increases by 10%.
Find the per cent change in Curved Surface Area.
A) 28%
B) 58.4%
C) 32%
D) 45.20%
E) 48%
68. If a copper wire is bend to make a square whose area is 324 cm 2. If the same wire is bent to form
a semicircle, then find the radius of semicircle.
A) 7 cm
B) 14 cm
C) 11 cm
D) 21 cm
E) 12 cm
69. A man wants to make small sphere of size 1 cm of radius from a large sphere of size of 6 cm of
radius. Find out how many such sphere can be made?
A) 216
B) 125
C) 36
D) 200
E) 64
70. A sphere of radius 9 cm is dip into a cylinder who is filled with water upto 20 cm. If the radius of
cylinder is 6 cm find the percentage change in height.
A) 50%
B) 40%
C) 55%
D) 45%
E) 57%
Study the following table to answer the questions that are given below it.
EXPENDITURES OF A COMPANY (IN LAKH RUPEES)
PER ANNUM OVER THE GIVEN YEARS
Item of
Expenditure
Year
1998
1999
2000
2001
2002
Salary Fuel and Bonus
Transport
288
342
324
336
420
98
112
101
133
142
3.00
2.52
3.84
3.68
3.96
Interest
on
Loans
23.4
32.5
41.6
36.4
49.4
Taxes
83
108
74
88
98
71. The ratio between the total expenditure on taxes for all the years and the total expenditure
on Fuel and Transport for all the years respectively is approximately:
(a) 4 : 7
(b) 10 : 13
(c) 15 : 18
(d) 5 : 8
(e) 2 : 3
72. The total expenditure of the company over these items during the year 2000 is:
(a) Rs. 544.44 lakhs
(b) Rs. 501.11 lakhs
(c) Rs. 446.46 lakhs
(d) Rs. 478.87 lakhs
(e) Rs. 612.13 lakhs
73. What is the average amount of interest per year which the company had to pay during this
period?
(a) Rs. 32.43 lakhs
(b) Rs. 33.72 lakhs
(c) Rs. 34.18 lakhs
(d) Rs. 35.69 lakhs
(e) Rs. 36.66 lakhs
74. Total expenditure on all these items in 1998 was approximately what percent of the total
expenditure in 2002?
(a) 62%
(b) 66%
(c) 69%
(d) 71%
(e) 73%
75. The total amount of bonus paid by the company during the given period is approximately
what percent of the total amount of salary paid during this period?
(a) 0.1%
(b) 0.5%
(c) 1%
(d) 1.25%
(e) 1.11%
Mark (✓) against the correct answer:
76. (3080 + 6160) ÷ 28 = ?
(a) 320
(b) 440
(c) 3320
(d) 3350
(e) None of these
77.
(a) -30
(b) -15
(c) 15
(d) 30
(e) None of these
78. 3640 ÷ 14 × 16 + 340 = ?
(a) 0.70
(b) 3525
(c) 4480
(d) 9600
(e) None of these
79.
(a) 1
(b) 2
(c) 6.65
(d) 7.75
(e) None of these
80. Which of the following will come in place of both the question marks in the following
equation?
(a) 3
(b) 14
(c) 16
(d) 17
(e) 18
81. By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the
shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale
is:
(a) 7
(b) 7.5
(c) 8
(d) 9
(e) None of these
82. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same
distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream
is:
(a) 2 mph
(b) 2.5 mph
(c) 3 mph
(d) 4 mph
(e) None of these
83. A man invests a certain sum of money at 6% p.a. simple interest and another sum at 7%
p.a. simple interest. His income from interest after 2 years was Rs. 354. One-fourth of the first
sum is equal to one-fifth of the second sum. The total sum invested was:
(a) Rs. 2600
(b) Rs. 2700
(c) Rs. 2880
(d) Rs. 2900
(e) None of these
84. The diagonal of a rectangle is thrice its smaller side. The ratio of the length to the breadth
of the rectangle is:
(a) 3 : 1
(b) √3 ∶1
(c) √2 ∶1
(d) 2√2 ∶1
(e) None of these
85. A train X speeding with 120 kmph crosses another train Y, running in the same direction,
in 2 minutes. If the lengths of the trains X and Y be 100 m and 200 m respectively, what is the
speed of train Y?
(a) 111 km/hr
(b) 123 km/hr
(c) 127 km/hr
(d) 129 km/hr
(e) None of these
86. A rectangle plot 55 m long and 45 m broad, has two concrete crossroads (of equal width)
running in the middle of it. One parallel to the length and the other parallel to the breadth. The
rest of the plot is used as a lawn. If the area of the lawn is 1911 m 2, what is the width of each of
the crossroads?
(a) 5m
(b) 5.5m
(c) 6m
(d) 4m
(e) 4.5m
87. The areas of a square and a rectangle are equal. If the length of the rectangle is 8 m more
than the side of the square and its breadth is 6 m less than the side of the square, what is the
perimeter of the rectangle?
(a) 100 m
(b) 96 m
(c) 110 m
(d) 80 m
(e) 120 m
88. A rectangle plot 36 m long and 28 m broad, has to concrete roads 5 m wide running in the
middle of the park, one parallel to the length and the other parallel to the breadth. What would
be the total cost of gravelling the plot, excluding the area covered by the roads, at Rs. 3.60 per
sq m?
(a) Rs. 27723.20
(b) Rs. 2466.60
(c) Rs. 2654.40
(d) Rs. 2332.60
(e) 2566.80
89. The ratio of the base to the height of a right angled triangle is 4 : 5. If the area of the right
angled triangle is 80 cm2, what is the height of the triangle?
(a) 16√2cm
(b) 10 cm
(c) 8 cm
(d) 20 cm
(e) 10√2cm
Study the following diagram to answer the questions.
90. If the diameter of each circle is 14 cm and DC = CE, the area of ∆BCE is
(a) 784 cm2
(b) 748 cm2
(c) 874 cm2
(d) 441 cm2
(e) None of these
91. The area of the shaded region of square ABCD is
(a) 186 cm2
(b) 168 cm2
(c) 188 cm2
(d) 441 cm2
(e) None of the above
92. The area of circle is seven times the numerical value of its circumference. What is the
circumference of the circle?
(a) 616 units
(b) 132 units
(c) 88 units
(d) Cannot be determined
(e) None of these
93. The circumference of a circle is twice the perimeter of a rectangle. The area of the circle is
5544 cm2. What is the area of the rectangle, if the length of the rectangle is 40 cm?
(a) 1120 cm2
(b) 1140 cm2
(c) 1020 cm2
(d) 1040 cm2
(e) None of these
94. Inside a square plot, a circular garden is developed which exactly fits in the square plot
and the diameter of the garden is equal to the side of the square plot which is 28 m. What is
the area of the space left out in the square plot after developing the garden?
(a) 98 m2
(b) 146 m2
(c) 84 m2
(d) 168 m2
(e) None of these
95. Smallest side of a right angled triangle is 8 cm less than the side of a square of perimeter
56 cm. Second largest side of the right angled triangle is 4 cm less than the length of
rectangle of area of 96 cm2 and breadth 8 cm. What is the largest side of the right angled
triangle?
(a) 20 cm
(b) 12 cm
(c) 10 cm
(d) 15 cm
(e) None of these
96. The length of a rectangle floor is twice its breath. If Rs. 256 is required to paint the floor at
the rate of Rs. 2 per sq m, then what would be the length of floor?
(a) 16 m
(b) 8 m
(c) 12 m
(d) 32 m
(e) 20 m
97. The circumference of a circle is equal to the side of a square whose area measures 407044
cm2. What is the area of the circle?
(a) 22583.2 cm2
(b) 32378.5 cm2
(c) 41263.5 cm2
(d) 39483.4 cm2
(e) Cannot be determined
98. The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm 2. What
is the circumference of the circle?
(a) 352 cm
(b) 704 cm
(c) 39424 cm
(d) Cannot be determined
(e) None of these
99. A rectangle carpet has an area of 120 m 2 and a perimeter of 46 m. The lengths of its
diagonal (in m) is
(a) 11
(b) 13
(c) 15
(d) 17
(e) None of these
100. What would be the cost of building a 7 m wide garden around a circular filed with
diameter equal to 280 m, if the cost per sq m for building the garden is Rs. 21?
(a) Rs. 156242
(b) Rs. 248521
(c) Rs. 111624
(d) Rs. 206118
(e) None of these