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Q.1. How many numbers between 400 and 600 begin with or end with a digit of 5?
A. 40
B. 100
C. 110
D. 120
E. None of these
Q.2. The total monthly salary of 4 men and 2 women is Rs 46,000. If a woman earns Rs 500 more than a man, what is the monthly salary of woman?
A. Rs 6500
B. Rs 7500
C. Rs 8000
D. Rs 9000
E. None of these
Q.3. In what ratio must a grocer mix two varieties of pulses costing Rs 15 and Rs 20 per kg respectively so as to get a mixture worth Rs 16.50 per kg?
A. 3:7
B. 5:7
C. 7:3
D. 7:5
E. None of the above
Q.4. A car moves at the speed of 80 km/hour . What is the speed of car in metres per second?
A. 8 m/sec
B. 181/9 m/sec
C. 200/9 m/sec
D. 300/9 m/sec
E. None of the above
Q.5. A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
A. 5 days
B. 6 days
C. 8 days
D. 9 days
E. None of the above
Q.6. If a quarter kg of potato cost 60 paise, how many paise will 200 gram cost?
A. 48 paise
B. 54 paise
C. 56 paise
D. 72 paise
E. None of the above
Q.7. The population of a town 2 years ago was 62500. Due to migration to big cities, it decreases every year at the rate of 4%. The present population of the town is?
A. 56700
B. 57600
C. 58800
D. 60000
E. None of the above
Q.8. The difference between a number and its three-fifth is 50. What is the number?
A. 75
B. 100
C. 125
D. 150
E. None of these
Q.9. The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest numbers?
A. 2
B. 5
C. 8
D. Cannot be determined
E. None of these
Q.10. Find the odd man out. 3, 5, 7, 12, 17, 19.
A. 19
B. 17
C. 13
D. 12
E. None of the above
Q.11. If √(18*14*x)=84, then x =?
A. 22
B. 24
C. 28
D. 32
E. None of the above
Q.12. A city has a population of 300000 out of which 180000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females are?
A. 24000
B. 30000
C. 54000
D. 60000
E. None of the above
Q.13. At present the ratio of ages of Jack and Tom is 4:3. After 6 years Jacks age will be 26 years. What is the age of Tom at present?
A. 12 years
B. 15 years
C. 19.5 years
D. 21 years
Q.14. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
A. 6 hrs
B. 20/3 hrs
C. 5 hrs
D. 7 hrs
Q.15. An express train traveled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
A. 6 hrs 21 min
B. 6 hrs 24 min
C. 6 hrs 27 min
D. 6 hrs 30 min
Q.16. The perimeter of a right angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is:
A. 120 cm²
B. 240 cm²
C. 390 cm²
D. 780 cm²
Q.17. A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:
A. 208 m³
B. 270 m³
C. 360 m³
D. 408 m³
Q.18. In 100 m race A beats B by 10 m and C by 13 m. In a race of 180 m B will beat C by:
A. 5.4 m
B. 4.5 m
C. 5 m
D. 6 m
Q.19. In a simultaneous throw of two coins, the probability of getting at least one head is :
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Q.20. P and Q started a business investing \$ 85000 and \$ 15000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively:
A. 3:4
B. 17:3
C. 5:2
D. 7:4
Q.21. The missing number is:
15, 31, 63, 127, 255, ___
A. 513
B. 511
C. 517
D. 523
Q.22. Which of the following numbers is divisible by 4:
A. 235315618
B. 196858626
C. 347219838
D. 369817884
Q.23. Which of the following fractions is greater than 3/4 and less than 5/6 ?
A. 1/2
B. 2/3
C. 4/5
D. 9/10
Q.24. Two-fifth of one-fourth of three-seventh of a number is 15. What is the half of that number?
A. 94
B. 96
C. 188
D. 175
Q.25. On a sports day, if 30 children were made to stand in a column, than 16 columns could be formed. If 24 children were made to stand in a column, then how many columns could be formed?
A. 20
B. 22
C. 29
D. 45
Q.26. If x*y = x + y + √(xy), the value of 6*24 is:
A. 41
B. 42
C. 43
D. 44
Q.27. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with the Sunday is:
A. 250
B. 276
C. 280
D. 285
Q.28. Three numbers are in ratio 4:5:6 and their average is 25. The largest number is:
A. 30
B. 32
C. 36
D. 42
Q.29. Mike is younger than Philip by 4 years. If their ages are in respective ratio of 7:9, how old is Mike?
A. 16 years
B. 14 years
C. 12 years
D. 20 years
Q.30. The value of $(256)^{5/4}$ is
A. 512
B. 984
C. 1024
D. 1032
Q.31. Roger buys goods worth \$ 6650. He gets a rebate of 6% on it. After getting the rebate, he pays tax @ 10%. Find the amount he will have to pay for the goods.
A. \$ 6876.10
B. \$ 6999.20
C. \$ 6654.00
D. \$ 7000.00
Q.32. The value of $ \left( \frac{0.051 \times 0.051 \times 0.051 + 0.041 \times 0.041 \times 0.041} {0.051 \times 0.051 - 0.051 \times 0.041 + 0.041 \times 0.041} \right) $ is
A. 0.00092
B. 0.0092
C. 0.092
D. 0.92
Q.33. The value of $ \frac{3.157 \times 4126 \times 3.198} {63.972 \times 2835.121} $ is closest to:
A. 0.002
B. 0.02
C. 0.2
D. 2
Q.34. By selling an article for \$ 100, a man gains \$ 15. Then his gain % is:
A. 15%
B. $12\frac{2}{3}$%
C. $17\frac{11}{17}$%
D. $17\frac{1}{4}$%
Q.35. If $ \frac{a}{3} = \frac{b}{4} = \frac{c}{7} $, then $ \frac{a + b + c}{c}$ is equal to:
A. 7
B. 2
C. $ \frac{1}{2} $
D. $ \frac{1}{7} $
Q.36. A, B and C hired a car for \$ 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:
A. \$ 140
B. \$ 160
C. \$ 180
D. \$ 220
Q.37. 36 men can complete a work in 18 days. In how many days will 27 men complete the same work?
A. 12
B. 18
C. 22
D. 24
Q.38. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
A. 5 days
B. 6 Days
C. 10 days
D. $ 10 { \frac{1}{2} } $ days
Q.39. Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively while a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 5 minutes in the beginning and then C is also opened. In what time is the cistern emptied?
A. 30 min
B. 33 min
C. $ 37 \frac{1}{2} $ min
D. 45 min
Q.40. A motor car starts with the speed of 70 km/hr with its speed increasing every two hours by 10 km/hr. In how many hours will it cover 345 kms?
A. $ 2 \frac{1}{4} $ hrs
B. 4 hrs 5 min
C. $ 4 \frac{1}{2} $ hrs
D. 5 hrs
Q.41. How long does a train 110 meters long running at the speed of 72 km/hr take to cross a bridge 132 meters in length?
A. 9.8 sec
B. 12.1 sec
C. 12.42 sec
D. 14.3 sec
Q.42. A man can row upstream at 8 km/hr and down stream at 13 km/hr. The speed of the stream is:
A. 2.5 km/hr
B. 4.2 km/hr
C. 5.0 km/hr
D. 10.5 km/hr
Q.43. The cost of Type 1 rice is \$ 15 per kg and Type 2 rice is \$ 20 per kg. If both Type 1 and Type 2 are mixed in the ratio 2:3, then price per kg of the mixed variety of rice is:
A. \$ 18.00
B. \$ 18.50
C. \$ 19.00
D. \$ 19.50
Q.44. A sum of \$ 12,500 amounts to \$ 15,500 in 4 years at the rate of simple interest. What is the rate of simple interest?
A. 3%
B. 4%
C. 5%
D. 6%
Q.45. If $ a^x = b^y $, then:
A. $ \log{\frac{a}{b}} = \frac{x}{y} $
B. $ \frac{\log a}{\log b} = \frac{x}{y}$
C. $ \frac{\log a}{\log b} = \frac{y}{x}$
D. None of these
Q.46. If $ m(a+b)^2 = 5 $ and $ n(a-b)^2 = 3 $. Find the value of $ m^2(a+b)^2 +4mnab - n^2(a-b)^2 $.
A. m-n
B. 2(m+n)
C. -2(m+n)
D. -(m+n)
Q.47. What will be the compound interest on a sum of \$ 25,000 after 3 years at the rate of 12% per annum?
A. \$ 9000.30
B. \$ 9720.00
C. \$ 10123.20
D. \$ 10483.20
Q.48. $ 2\log_{10}{5} + \log_{10}{8} - \frac{1}{2} \log_{10}{4} = \text{ ?} $
A. $ 2 $
B. $ 4 $
C. $ 2 + 2\log_{10}{2} $
D. $ 4 - 4\log_{10}{2} $
Q.49. The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. The area of triangle is:
A. $ 48 \text{ cm}^2 $
B. $ 56 \text{ cm}^2 $
C. $ 66 \text{ cm}^2 $
D. $ 76 \text{ cm}^2 $
Q.50. Find the surface area of a $ 10 \text{ cm} \times 4 \text{ cm} \times 3 \text{ cm} $ brick.
A. $ 84 \text{ cm}^2 $
B. $ 124 \text{ cm}^2 $
C. $ 164 \text{ cm}^2 $
D. $ 180 \text{ cm}^2 $
Q.51. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A. $145^{\circ}$
B. $150^{\circ}$
C. $155^{\circ}$
D. $160^{\circ}$
Q.52. In a 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
A. 20 m
A. 25 m
A. 22.5 m
A. 9 m
Q.53. In how many ways can the letters of the word 'LEADER' be arranged?
A. 72
B. 144
C. 360
D. 720
Q.54. What is probability of getting a sum 9 from two throws of a dice?
A. $ \frac{1}{6} $
B. $ \frac{1}{8} $
C. $ \frac{1}{9} $
D. $ \frac{1}{12} $
Q.55. Complete the series:
15, 16, 34, 105, 424, ___
A. 1024
B. 2124
C. 1125
D. 2125
Q.56. From a point P on a level ground, the angle of elevation of the top of a tower is $ 30^\circ $. If the tower is 100 m high, the distance of point P from the foot of the tower is:
A. 149 m
B. 156 m
C. 173 m
D. 200 m
Q.57. The unit's digit in the product $(7^{71} \times 6^{59} \times 3^{65} )$ is:
A. 1
B. 2
C. 4
D. 6
Q.58. The ratio of two numbers is 3:4 and their HCF is 4. their LCM is:
A. 12
B. 14
C. 24
D. 48
Q.59. What is the value of $ \frac{(P+Q)}{(P-Q)} $ if $ \frac{P}{Q} = 7$ ?
A. $ \frac{1}{3} $
B. $ \frac{2}{3} $
C. $ \frac{4}{3} $
D. $ \frac{7}{8} $
Q.60. The value of $ \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ is:
A. 4
B. 6
C. 8
D. 10
Q.61. If a, b, c, d, e are five consecutive odd numbers, their average is:
A. $ 5(a+4) $
B. $ \frac{abcde}{5} $
C. $ 5(a+b+c+d+e)$
D. None of these
Q.62. The sum of two numbers is 25 and their differece is 13. Find their product.
A. 104
B. 114
C. 315
D. 325
Q.63. The ratio between present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
A. 3:4
B. 3:5
C. 4:3
D. Data inadequate
E. None of these
Q.64. If $ 2^{2n-1} = \frac{1}{8^{n-3}}$, then the value of $ n $ is:
A. 3
B. 2
C. 0
D. -2
Q.65. In an examination, 65% students passed in Civics and 60% in History, 40% passed in both of these subjects. If 90 students failed in History and Civics both, then what is the total number of students?
A. 600
B. 650
C. 700
D. 750
Q.66. The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%.
A. 37.5%
B. 48%
C. 50.5%
D. 52%
Q.67. If \$ 782 be divided in three parts, proportional to $ \frac{1}{2} : \frac{2}{3} : \frac{3}{4} $, then the first part is:
A. \$ 182
B. \$ 190
C. \$ 196
D. \$ 204
Q.68. Serena started a software business by investing \$ 50,000. After six months, Neil joined her with a capital of \$ 80,000. After 3 years, they earned a profit of \$ 24,500. What is Serena's share in the profit?
A. \$ 9423
B. \$ 10,250
C. \$ 12,500
D. \$ 10,500
Q.69. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?
A. 20
B. 30
C. 40
D. 50
Q.70. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in:
A. 4 days
B. 6 days
C. 8 days
D. 12 days
Q.71. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will the take to fill the tank?
A. 12 min
B. 15 min
C. 25 min
D. 50 min
Q.72. A person travels equal distances with speeds of 3 km/hr, 4 km/hr, and 5 km/hr and takes a total time of 47 minutes. The total distance in km is:
A. 2
B. 3
C. 4
D. 5
Q.73. Two trains of equal length are running on parallel lines in the same direction at 46 Km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
A. 50 m
B. 72 m
C. 80 m
D. 82 m
Q.74. What is the longest side of a rectangle which has a perimeter of 70 units and an area of 276 square units?
A. 12 units
B. 18 units
C. 23 units
D. 36 units
Q.75. In a code language, FRIEND is coded as HUMJTK. In the same language, BHOPAL will be coded as-
A. DJQRCN
B. CJRTEQ
C. DKSUGS
D. DLSVHT
Q.76. Point $ P $, $ Q $ and $ R $ are points on a circle that inscribes right triangle $ \Delta ABC $. If $ BQ = 2 $ cm, $ RC = 7 $ cm and $ AP = x $ cm, find $ x $?
A. 2.4 cm
B. 3.2 cm
C. 3.6 cm
D. 4.2 cm
Q.77. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
A. 40 minutes
B. 1 hour
C. 1 hr 15 min
D. 1 hr 30 min
Q.78. In what ratio must water be mixed with milk to gain $ 16 \frac{2}{3} $ % on selling the mixture at cost price?
A. 1:6
B. 6:1
C. 2:3
D. 4:3
Q.79. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:
A. 1:2
B. 2:3
C. 3:4
D. 3:5
Q.80. The simple interest at $ x $ % for $ x $ years will be \$ $ x $ on a sum of:
A. $ \text{\$ } x $
B. $ \text{\$ } \frac{100}{x}$
C. $ \text{\$ } 100x $
D. $ \text{\$ } \frac{100}{x^2} $
Q.81. Find the next figure in series.
Q.82. Find the missing number in the series-
6 , 12 , 21 , __ , 48
A. 33
B. 38
C. 40
D. 45
Q.83. In a certain code, BREAKTHROUGH is written as EAOUHRBRGHKT. How is DISTRIBUTION written in that code?
A. TISTBUONDIRI
B. STTIBUONRIDI
C. STTIBUDIONRI
D. RISTTIBUDION
E. None of these
Q.84. In how many years will a sum of \$ 800 at 10% per annum compounded semi annually become \$ 926.10?
A. $ 1 \frac{1}{3} $
B. $ 1 \frac{1}{2} $
C. $ 2 \frac{1}{3} $
D. $ 2 \frac{1}{2} $
Q.85. If $ \log_a (ab) = x $, then $ \log_b (ab) $ is:
A. $ \frac{1}{x} $
B. $ \frac{x}{x+1} $
C. $ \frac{x}{1-x} $
D. $ \frac{x}{x-1} $
Q.86. E is son of A. D is son of B. E is married to C. C is B's daughter. How is D related to E?
A. Brother
B. Uncle
C. Father-in-law
D. Brother in law
E. None of these
Q.87. If $ + $ stands for $ \times $, $ - $ stands for $ \div $, $ \times $ for $ - $ and $ \div $ for $ + $, find the value of $ 26 + 74 - 4 \times 5 \div 2 $.
A. 220
B. 376
C. 478
D. 488
Q.88. The length of a rectangular plot is 60% more than its breadth. If the difference between the length and breadth of that rectangle is 24 cm, what is the area of that rectangle?
A. 2400 sq. cm
B. 2480 sq. cm
C. 2560 sq. cm
D. Data inadequate
E. None of these
Q.89. In a city, 40% of the adults are illeterate while 85% of the children are literate.If the ratio of adults to that of the children is 2:3, then what percent of the population is literate?
A. 20%
B. 25%
C. 50%
D. 75%
Q.90. The maximum length of a pencil that can be kept in a rectangular box of dimensions $ 8 \text{ cm} \times 6 \text{ cm} \times 2 \text{ cm} $, is:
A. $ 2 \sqrt{13} \text{ cm} $
B. $ 2 \sqrt{14} \text{ cm} $
C. $ 2 \sqrt{26} \text{ cm} $
D. $ 10 \sqrt{12} \text{ cm} $
Q.91. In a 500 m race, the ratio of speed of two contestants A and B is 3:4. A has a start of 140 m. Then, A wins by:
A. 60 m
B. 40 m
C. 20 m
D. 10 m
Q.92. At what time, in minutes, between 3 o'clock and 4 o'clock, both needles will coincide each other?
A. $ 5\frac{1}{11} $
B. $ 12\frac{4}{11} $
C. $ 13\frac{4}{11} $
D. $ 16\frac{4}{11} $
Q.93. How many shares of market value \$ 25 each can be purchased for \$ 12750, brokerage being 2%?
A. 450
B. 500
C. 550
D. 600
Q.94. In how many different ways can letters of the word 'RUMOUR' be arranged?
A. 180
B. 90
C. 30
D. 720
E. None of these
Q.95. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
A. $ \frac{1}{15} $
B. $ \frac{25}{57} $
C. $ \frac{35}{256} $
D. $ \frac{1}{221} $
Q.96. Complete the series
7, 26, 63, 124, 215, 342, ___
A. 481
B. 511
C. 391
D. 421
Q.97. Sam ranked 9th from the top and 38th from the bottom in a class. How many students are there in the class?
A. 45
B. 46
C. 47
D. 48
Q.98. An observer $ 1.6 $ m tall is $ 20 \sqrt{3} $ m away from a tower. The angle of elevation from his eye to the top of the tower is $ 30^\circ $. The height of the tower is:
A. 21.6 m
B. 23.2 m
C. 24.72 m
D. None of these
Q.99. The sum of all possible two-digit numbers formed from three different one-digit natural numbers when divided by the sum of original three numbers is equal to:
A. 18
B. 22
C. 36
D. None of these
Q.100. The sum of two numbers is 216 and their H.C.F. is 27. The numbers are:
A. 27, 189
B. 81, 189
C. 108, 108
D. 154, 162
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