# Math Is Fun Forum

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## #1 2008-11-29 22:28:24

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Multiple Choice questions:

The time for chosing the correct answer varies in different examinations, I shall give between 20 and 30 seconds, in general, to answer each question unless specified otherwise. I wish to make a point here that many of these questions can be answered within 10 seconds! Use of paper and pencil/pen is permitted, but not a calculator.
However, in some posts (comprising of almost the same level of difficulty), different time limits have been specified.

#1. In the case of how many digits in the number 7214658, their position in the number and the position when the digits of the number are arranged in the ascending order from left to right are identical?
(1) Three    (2) Four   (3) One   (4) Two   (5) None of these

#2.

= ?
(1)53     (2)46    (3)63   (4)66     (5)None of these

#3.

= ?
(1) 472     (2) 7.375     (3) 29.5    (4) 9.485    (5) None of these

#4.

= ?
(1) 64   (2) 512   (3) 16   (4) 4096   (5) None of these

#5. 18.8 x ? x 14.2 = 5232.416
(1) 20.3   (2) 17.4   (3)  19.6   (4) 16.8   (5) None of these

#6.

= ?

(1)

(2)

(3)

(4)

(5) None of these

---------------------------------------------------------------------------------

Find the approximate value that should replace the question mark.

#7.

= ?
(1) 43    (2) 56   (3) 32    (4) 28    (5) 49

#8. 17.998 x 23.005 x 11.99 = ?
(1) 3824   (2) 4055   (3) 5138   (4) 5446   (5) 4964

#9.

= ?
(1) 128   (2)  194   (3) 152   (4) 167   (5) 179

#10.

=?
(1)7245   (2) 5225   (3) 6435   (4) 7705   (5) 8045

#11.

= ?
(1) 1511345  (2) 1639714   (3) 1851216   (4) 1420165   (5) 1583628

---------------------------------------------------------------------------------

#12. What would be the difference between the simple interest and compound interest on a sum of \$19,200 at the end of 3 years at the rate of 12% per annum?
(1)\$722.68    (2)\$802.51   (3) \$862.62    (4)\$798.18   (5) None of these

#13. A 240 meter long train crosses a platform in 20 seconds. What is the speed of the train?
(1) 10 meters/sec  (2) 12 meters/sec  (3) 18 meters/sec   (4) Cannot be determined
(5) None of these

#14. The number obtained after interchanging the two digits of a two digit number is greater than the original number by 9. If the sum of the two digits of the number is 13, what is the original number?
(1) 67   (2) 58   (3) 76  (4) Cannot be determined   (5)None of these

#15. The average of the ages of a man and his daughter is 34 years. If the respective ratio of their ages four years from now is 14:5, what is the daughter's present age?
(1) 12   (2) 18   (3) 10  (4) Cannot be detrmined   (5) None of these

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #2 2008-11-30 00:12:55

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#16.If 30% of A = 0.25 of B = 1/5 of C, then A:B:B is
(1)12:15:10   (2) 10:12:15    (3) 10:15:12   (d) 15:12:10

#17. The population of a country is 90 million. If it increases by 2% in the first year and 10% in the second year, what would the population be after second year?
(1) 98 million  (2)  100.98 million   (c) 102 million  (d)  105 million

#18.In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score of the whole class is 71.8. The percent of girls in the class is:
(1) 60%   (b) 40%    (c) 1.8%    (d) 18%

#19. A buyer after getting two successive discounts of 10% and 10% on the list price of an article, bought it for \$445.50. The article was listed at
(1) \$650    (2)\$560    (C)\$550    (D)\$540

#20. The cost price of 20 articles is the same as the selling price of x articles; if the profit is 25%, then the value of x is
(1) 25  (2) 16  (3)  18  (d) 15.

#21. The sides of a triangle are in the ratio

. If its perimeter is 104 cm, what is the length of the longest side?
(1) 52 cm  (2) 48 cm  (3) 32 cm  (4) 26 cm

#22. A works twice as fast as B. If both of them can together finish a work in 12 days, B alone can do it in:
(1) 48 days   (b) 27 days  (c)24 days   (4)36 days

#23. A man walking at 3/4 th of his usual speed reaches office 20 minutes late. In what time would he reach the office walking at his usual speed?
(1) 1 hour  (2) 2 hours  (3) 3 hours  (d) 4 hours

#24. If one-third of one-fourth of a number is 15, what is three-tenth of that number?
(1)35  (2)  36  (3)45   (4) 54

#25. A sum becomes \$1352 in 2 years at 4% compound interest. The sum is:
(1) \$1245  (2) \$1270  (3) \$1285   (4) \$1250

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #3 2008-11-30 17:18:55

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

Complete the following series:-

#26. 2,3,6,15,42,___
(1) 84  (2) 123  (3) 94   (4) 60

#27. 1,2,3,6,5,10,7,14,9, ____
(1) 16   (2) 20   (3)   18   (4) 20

------------------------------------------------

#28. A train passes two bridges of length 800 m and 400 m in 100 seconds and 60 seconds respectively. What is the length of the train?
(1) 80 m   (2) 90 m   (3) 200 m   94) 150 m

#29. if

,
then what is the value of x?

(1)

(2)

(3)
(4)

#30. By selling an article for \$72, a merchant incurs a loss of 10%. What should the selling price be if he should gain 5%?
(1) \$87    (2) \$85   (3)\$80   (4) \$84

-------------------------------------------------------

In each of the following series, one number is wrong in the series.

#31. 30, 56, 90, 130, 182
(1) 56  (2) 90  (3) 182  (4) 130

#32. 5040, 720, 120, 24, 6, 2, 0
(1) 720   (2) 120   (3) 0   (4)  6

#33. 11, 24, 75, 300, 1525
(1) 24   (2) 300   (3)  75   (4)   1525

------------------------------------------------------------

Solve the following:

#34. If

, then
equals

(1)

(2) 10

(3)

(4)

#35. If

,
then find
.

(1)

(2) 1

(3) 2           (4) 4

-------------------------------------------------------------

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #4 2008-11-30 19:56:00

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#36. Three-fourth of  tank is full of water. When 30 liters of water are taken out, the tank becomes empty. What i the capacity of the tank?
(1) 40 liters  (2) 38 liters  (3)  42 liters  (4) 36 lites

#37. If an article is sold at a gain of 5% instead of being sold at a loss of 5%, one gets \$5 more. What is the cost price of the article?
(1) \$60  (2)  \$50  (3) \$80  (4) \$120

#38. If the areas of a circl and square are equal, what is the ratio of their perimeters?
(1)

(2)

(3)

(4) 2 : 1

#39. What is the value of

?

(1)

(2)

(3)

(4) 1

#40. In an examination, a student was asked to find 3/14 of a certain number. By mistake, he found 3/4 of that number and his answer was 150 more than the correct answer. What was the number?
(1) 130   (2) 240   (3) 280   (4) 290

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #5 2008-12-01 00:53:46

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#41.If n, p, and q are in Geometric Progression, then the expression for p in terms of n and q is:
(1)

(2)

(3)

(4) nq

#42. A radioactive sample decays and the remaining sample at infinite time is given by

, then b is
(1) 0   (2)   1   (3)
(4)

#43. Two Arithmetic Progressions have the same common difference. If the difference between thei 100th terms is 111222333, then the difference between their millionth terms would be _______.

(1) 123  (b) 112233  (3) 111222333 (d) 112333

#44. The number of terms in the Arithmetic progression 7, 13, 19, ....97 is ___________.
(1) 97  (2) 17   (3) 16   (4) 15

#45. The value of 11² + 12² + 13² + .....20² is _______________.
(1) 3845   (2) 2485 (3) 2870  (4) 3255

#46. If two cylinders have their radii in the ratio 4:5 and heights in the ratio 5:6, then the ratio of their volumes is
(1) 8:15   (2) 15:8   (3)  6:5   (4)  4:5

#47. A sector of a circle of radius 21 cm and central angle 120° is made into a cone by bringing its radii together. The radius of the cone thus obtained is:
(1) 21 cm   (2) 7 cm  (3)  14 cm  (4) 10.5 cm

#48. The diameter of the base of two cones are equal. If their slant heights are in the ratio 5:4, the ratio of their curved surface areas is
(1) 5:4   (2) 5:6   (3)  4:5   (4) 3:1

#49.The ratios of the volumes of three solids, namely cylinder, cone and hemishphere having equal base area and height is
(1) 1:3:2  (2) 3:1:2   (3) 2:3:1  94) 1:2:3

#50. The ratio of the total surface area of a solid hemisphere to the square of its radius is
(1)

(2)
(3)

(4)

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #6 2008-12-01 01:52:37

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#51. the Greatest Common Divisor of

where n is a Natural number is
(1) x-y  (2) x+y  (3)
(4) 1

#52. The sum of two natural numbers is 8 and the sum of their reciprocals is

. The numbers are
(1) 3 and 5  (2)  6 and 2   (3)  7 and 1  (4)  4 and 4

#53. If x-1 is a factor of

, then the value of p is
(1) 0  (2) -1  (3) 1  (4) 2

#54. The Least Common Multiple of

and
is

(1)

(2)

(3)

(4)

#55. The Least Common Multiple of

is
(1) 2   (2)
(3)
(4)

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #7 2008-12-01 02:28:40

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#56. What is the value of

?

(1)a-b  (2)  a+b  (3)

(4)1

#57.

(1)
(2)

(3)
(4)

#58. If

,
then the values of x, y, and z are:

(1) 4,6,6  (2) 6,4,6   (c) 6,6,4   (d) 4,4,6

#59. If

then x and y are
(1) (4,2)   (2) (-4,2)   (3) (4,-2)  (4) (4,4)

#60. The nature of the roots of

is
(1) real, distinct and rational
(2) real, distinct and irrational
(3) not real
(4) real and equal

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #8 2008-12-01 02:59:33

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#61. If

,
then the value of a is:

(1) 2   (2)  -4   (3)   4   (4) -2

#62. The order of matrix A is 5x3. The order of matrix B is 3x5. The order of BxA is
(1) 5x5   (2)  3x3   (3)  1x1  (4) 5x3

#63. The corresponding sides of two similar triangles are  in the ratio a:b. What is the ratio of their areas?
(1) a:b   (2) 2a:2b    (3)

(d)

#64. If

and
are the roots of the equation
, then what is the value of
?
(1)

(2)

(3)

(4)

#65. The simplified value of

is
(1)
(2)

(3)
(4)

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #9 2008-12-01 17:27:25

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

Management Aptitude test Questions : Difficulty level - marginally higher.
Time for answering 10 questions - 10 minutes.

#66.A certain length of pathway has to be constructed. It is found that three men can construct one-fifth of all but one kilometer in two days, while 18 men can construct ne kilometer more than two-fifths in one day. What is the length of the path?
(1) 25 km  (2) 10 km  (3) 15 km  (4) 20 km

#67. The age of the father of two children is twice that of the elder one added to four times that of the younger one. If the geometric mean of the ages of the two children is 4√3 and their harmonic mean is 6, then what is the father's age?
(1) 48 years  (2) 32 years  (3) 40 years  (4) 56 years

#68. A cylinder is filled to four-fifth of its volume. It is then tilted so that the level of the water coincides with one edge of its bottom and top edge of the opposite side. In the process, 30 cc of the water is spilled. What is the volume of the cylinder?
(1) 75 cc  (2) 96 cc  (3) Data insufficient  (4) 100 cc

#69.If a maximum of 25 grams of salt dissolves in 100 grams of water and any more salt, if added, remains undissolved and a sediment falls at the bottom. Now, water is evaporated from 1 kilogram of a 4% solution at the rate of 28 grams per hour. After how long would the salt start sedimenting?
(1) 35 hours (approximately)    (2) 29 hours (approximately)
(3) 31 hours (approximately)    (4) 23 hours (approximately)

#70. In a defective 6 faced die with numbers 1 to 6 inscribed, the probability of getting an odd number is twice the probability of getting an even number. Find the probability of getting a 2 digit prime number on adding two successive throws of the dice.
(1)

(2)

(3)

(4)

#71. An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and the fourth shots are 0.4, 0.3, 0.2, and 0.1 respectively. What is the probability that the gun hits the plane?
(1) 0.6024  (2) 0.0024  (3) 0.8976  (4) 0.6976

#72. A lawn is in the form of an isosceles triangle. The cost of turfing it works out to #1200 at \$4 per square meter. If the base is 40 meter long, what is the length of the other two equal sides?
(1) 120 m  (2) 25 m  (3)7.5 m  (4) None of these

#73. a batsman's runs just before the last match of the season adds up to 750. In his last two innings, he scores only 6 runs and his average drops by 2. What is his final average of the season?
(1) 25 runs  (2) 30 runs  (3) 28 runs  (4) 24 runs

#74. The average marks of a student in 8 subjects is 87. Of these, the highest marks are 2 more than the one next in value.If these two subjects are eleminated, the average marks of the remaining subjects is 85. What is the highest marks scored by him?
(1) 89   (2) 94   (3) 91   (96)

#75. Three partners invested capital in the ratio 2:7:9. The time period for which each of them invested was in the ratio of the reciprocals of the amount invested. Find the share of the partner who invested the highest capital, if the profit is #1080.
(1) \$120  (2) #360  (3) #540  (4) \$420

* * * * * * * * * * * * * * * * * * * * * * * * * *

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #10 2008-12-01 17:50:03

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

Note: Most of the questions given below are to be answered within 20 seconds. There are a few exceptions. Hence, for the 25 questions given below, I prescribe a time limit of 10 minutes.

What should appear in the place of '?' in the following questions?

#76.

(1) 6.4 (2) 8 (3) 64 (4) 0.8 (5) None of these

#77.

(1) 1936  (2) 1521  (3) 1681  (4)  1764  (5) None of these

#78.8926 - ?% of 650 = 8848
(1) 15  (2) 8  (3)  12  (4) 10  (5) None of these

#79.

(1) 39  (2) 43  (3) 33  (4) 41  (5) None of these

#80.

(1) 3312  (2) 3864  (3) 2208  (4) 4416  95) None of these

#81.

= ?
(1) 20  (2) 8.5  (3) 11.5  (4) 22 (5) None of these

#82.

(1) 2196  (2) 3364  (3) 2809  (4) 3025  (5) None of these

#83.

(1)
(2)

(3)
(4)

950 None of these

#84.

(1) 49  (2) 1764  (3)  441  (4) 3136  (5) None of these

#85.

(1) 35  (2) 25  (3) 55 (4) 15  (5) None of these

#86. 0.08 x 0.5 + 0.9 = ?
(1) 1.3  (2)  0.94  (3) 0.112  94) 1.5  (5) None of these

#87.

(1) 648  (2) 593  (3) 601  (4) 653  (50 None of these

#88. 15% of 6500 = ?% of 12500
(1) 8.2  (2) 7.5  (3) 6.3 (4) 7.8  (5) None of these

----------------------------------------------------------------------
#89. Fill in the blank in the series:-
3   3   12   108   _____   43200
(1) 2700   (2) 1728   (3) 972   (4) 432   (5) None of these

#90. The population of a town kis 126800. It increases by 15% in the 1st year and decreases by 20% in the 2nd year. What is the population of the town at the end of two years?
(1) 174984  (2) 135996  (3) 116656  (4) 145820  (5) None of these

#91. If an amount of \$172,850 is equally distributed amongst 25 people, how much would each person get?
(1) \$8912.50  (2) \$8642.50  (3) \$7130  (4) \$6914  (50 None of these

#92. The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 centimeters and the breadth of the rectangle is two-third of the side of the square. What is the side of the square?
(1) 10 cms  (2)  20 cms  (3)  9 cms  (4)  Cannot be determined  (5) None of these.

#93, What approximate value should appear in the place of '?' in the following equation?

(1) 401  (2) 441  (3) 301  (4) 333  (5) 386

#94. If

and
, what is the value of
?
(1) 120  (2)  90  (30  180  (4)  cannot be determined  (5) None of these

#95. The difference between a two digit number and the number obtained after interchanging the two digits of the two digit number is 27. The sum of the two digits of the two digit number is 15. What is the two digit number?
(1)87  (2) 96  (3) 78  (4) Cannot be detrmined  (5) None of the above

#96. the difference between 75% of a number and 20% of the same number is 378.4 What is 40% of that number?
(1) 275.2  (2) 274  (3) 267.2  (4) 266  (5) None of these

#97.The average of four positive integers is 73.5. The highest integer is 108 and the lowest integer is 29. The difference between the remaining two integers is 15. Which of the following is the smaller of the remaining two integers?
(1) 80   (2) 86   (3) 73   (4) Cannot be detrmined   (5) None of these

#98. David invested an amount of \$21,250 for 6 years at simple interest. At what rate of simple interest would he obtain a total amount of \$26,350 at the end of 6 years?
(1) 6% per annum  (2) 5% per annum  (3) 8% per annum (4) 12% per annum
(5) None of these

#99. What is the least number to be added to 8115 to make it a perfect square?
(1) 349 (2) 166  (3) 144  (4)  194  (5)  None of these

#100. A gold neklace is sold for \$14,500 at a loss of 10%. What is the cost price of the gold necklace?
(1) \$18,125  (2) \$17,400  (3) \$15,225  (4) \$16,800  (5)None of these

@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #11 2008-12-02 00:41:08

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

Note: Most of the questions given below are to be answered within 20 and 30 seconds. There are a few exceptions. Hence, for the 20 questions given below, I prescribe a time limit of 10 minutes.

#101.

(1) 30.0925  (2)  39.0625  (3) 35.6015  (4) 29.0825  (5) None of these

#102. 741560 + 935416 + 1143 + 17364 = ?
(1) 1694583  (2) 1695438  (3) 1695483  (4) 1659483  (5) None of these

#103. (17891 + 16239 - 26353) x ? = 93336
(1) 12  (2)  15  (3) 18  (4) 8  (5) None of these

#104.

(1) 167.4  (2) 837  (3) 279  (4) 130.2  (5) None of these

#105. 6 x 66 x 666 = ?
(1) 263736  (2) 267336  (3) 263763  (4) 263376  (5) None of these

#106. 1256 x 3892 = ?
(1) 4883582  (2) 4888352  (3) 4888532  (4) 4883852  (5) None of these

#107. 129.36 - 12.57 + 97.31 = ?
(1) 218.20  (2) 44.62  (3) 214.10  (4) 19.48  (5) None of these

#108. In how many different ways can the letters of INHALE be arranged?
(1) 720  (2) 360  (3) 120  (4) 650  (5) None of these

#109.Find the average of the following numbers:-
124  856  331  227  963  338  259  662
(1) 570  (2) 660  (3) 480  (4) 350  (5) None of these

#110. Five bells begin to toll together at intervals of 9 seconds, 6 seconds, 4 seconds, 10 seconds, and 8 seconds respectively. How many times would they toll together in the span of one hour (excluding the toll at the start)?
(1) 5  (2) 8  (3) 10  (4) Cannot be determined  (5) None of these

#111. The ratio of the present ages of Mark and jeff is 6:7. The ratio of their ages 8 years hence would be 8:9. What would be the respective ratio of their ages after 12 years?
(1) 17:19  (2)  15:17  (3)  9:10  (4) 10:11  (5) none of these

#112. In an examination, the aggregate marks required to pass is 40%. A student scores 265 marks and is declared failed by 55 marks. What is the maximum aggregate marks a student can get?
(1) 800  (2) 750  (3) 650  (4) Cannot be determined  (5) None of these

#113. The sum of four consecutive even numbers A, B, C, and D is 180. What is the sum of the next four consecutive even numbers?
(1) 214  (2)  212  (3)  196  (4) 204  (5) none of these

#114. The numerator of a fraction isincreased by 200% and the denominator of the fraction is increased by 150%. The resultant fraction is 9/35. What was the original fraction?
(1)

(2)

(3)
(4)
(5) None of these

#115.

What is the value of n?

#116.What is 786 times 964?
(1)759276  (2) 749844  (3) 75416  (4) 757704  (5) None of these

#117. If 46² is subtracted from the square of a number, the answer so obtained is 485. What is the number?
(1) 49  (2) 51  (3) 56  (4) 53  (5) None lof these.

#118. In the following number series, one of the numbers is wrong. Find out the wrong number:-
14   28   112   672   5374   53760
(1) 112  (2) 672   (3) 5374   (4) 28   (5) None of these

#119.

(1) 4535.52  (2) 4551.36  (3) 4561.92  (4)  4572.48  (5) None of these

#120. if 47a + 47b = 5452, what is the average of a and b?
(1) 116  (b) 23.5  (3) 96  (4) 58  (5) None of these

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #12 2008-12-02 20:05:37

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

8 questions : Time limit : 8 minutes

#121. If p and q are the roots of the equation x²+ax+b = 0, then

is equal to:
(1)
(2)

(3)
(4)

#122. If

is a non-real cube root of unity then

(1) 1       (2)
(3)
(4) 0

#123. If A, G, and H be the Arithmetic Mean, Geometric Mean, and harmonic Mean between two positivenumbers and if xA=yG=zH where x,y,z are non-zero positive quantities, then x,y, and z are in :
(1) Arithmetic progression   (2) Geometric Progression   (3) Harmonic progression
(4) Arithmetic-Geometric progression.

#124. The value of

is:-
Hint : Remember the values of cube root of unity
(1)
(2)
(3)
(4) 0

#125. What is the value of

?
(1) o  (2)
(3) -i  (4) None of these.

#126.If n positive integers are taken at random and multiplied together, the probability of the last digit of the product not being 1, 3, 7, or 9 is:

(1)

(2)

(3)
(4)

#127. If

, then
is equal to
(1) 2(1+2m)  (2)
(3)
(4) 1+m

#128. The value of the determinant

is equal to:

(1)0  (2) -1  (3) 1  (4) p+q+r

<><><><><><><><><><><><><><><><><><>

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #13 2008-12-03 02:05:45

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#129. If 1² + 2² + 3² + 4² + .....10² = 385, then, what is the value of 2² + 4² + 6² + 8² + .....20² ?
(1) 770   (2) 1150   (3) 1540   (4) 385²

#130. If sum of the first 50 Natural numbers is 1275 and the sum of the first 50 odd numbers is 2500, then what is the sum of the first 50 even numbers?
(1) 2550   (2) 1275   (3) 1725   (4) 2500

#131. Water flows into a tank. The volume of water in the tank at each minute forms an Arithmetic Progression. If the initial volume was 5 liters and becomes 6 times after 6 minutes. What is the speed of increase in water?
(1) 5 liters/min  (2)  6 liters/min  (3) 15 liters/min  (4) 2 liters/min

#132. What is the number of terms in 6, 18, 54, .....1458?
(1) 5   (2) 7   (3) 8   (4) 6

#133. A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 1 cm and the diameter of the base is 2 cm. If a right circular cylinder circumscribes the solid, the volume  of the unused spaced inside the cylinder in cubic centimeters is
(1)

(2)

(3)
(4)

#134. If the radius of the base of a cone is doubled and the height is tripled, then the volume is
(1) six times the original volume
(2) twelve times the original volume
(3) four times the original volume
(4) twice the original volume.

#135. A solid lead sphere of radius 8 cm is made into a number of smaller spheres of radius 1 cm each. How many such balls can be made?
(1)   8    (2)  64     (3)  216   (4)  512

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #14 2008-12-04 02:16:56

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#136. If the roots of the equation x²-bx+c = 0 are two consecutive integers, then b²-4c is equal to:
(1)  3    (2)  -2    (3)  -1    (4)  1

#137. The corresponding sides of two similar triangles are in the ratio a:b. What is the ratio of their areas?
(1) a:b    (2) 2a:2b    (3) a²:b²    (4)

#138. The point of intersection of 3x-y=2 and x+y=6 is:
(1) (4,4)    (2) (4,10)    (3) (10,4)     (4) (2,4)

#139. If the slop[e of the line joining (-6,13) and (3,a) is

, then what is the value of a?
(1) 5   (2) -10   (3) -5   (4) 10

#140. What is the slope of the line which is perpendicular to the line joining the points (0,0) and (-1,1)?
(1) 1    (2) -1    (3)

(4) -2

#141. If lines ax-5y=5 and 2x+y=1 are perpendicular, then what is the value of a?
(1) 2    (2)

(3)
(4)

#142. The X intercept of the line 4x-7y+28=0 is
(1) 7    (2) -7    (3)

(4)

#143. The equation of the line passing through the origin and parallel to the line 3x+2y-5 = 0 is:
(1) 3x-2y+5 = 0  (2) 2x+3y = 0  (3) 3x+2y = 0  (4) 2x-3y = 0

#144. The equation of the straight line which has the Y intercept -5 and slope 2 is:-
(1) 2x+y+5 = 0   (2) 2x-y+5 = 0   (3) 2x-y-5 = 0   (4) 2x+y-5 = 0

#145. The lines y=-3 and x=8 meet at the point
(1) (-8,-3)    (2) (3,8)    (3) (-3,8)    (8,-3)

#146. If

, then

(1)
(2)
(3) 1    (4) 0

#147. The value of

(1) 1    (2) -1    (3) 2    (4) -2

#148. If

,
then what is the value of
?
(1)
(2)
(3) 1   (4) 0

#149. The value of

is
(1) cos θ    (2) sin θ    (3) tan θ    (4) cosec θ

#150. If

,
then what is the value of
?
(1) 0    (2) 1    (3) 2    (4) 4

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #15 2008-12-05 03:18:28

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#151. Find the value of

.
(1) 1     (2)

(3)
(4)

#152. A trekker, before climbing a mountain finds the height of the mountain from a point 20 km from it by finding the angle of elevation which is found to be 30° . What is the height olf the mountain in kilometers?

(1)

(2)

(3) 20               (4) 30

#153.The range of the first five prime numbers in order is:
(1) 6     (2) 9     (3) 5     (4) 82

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #16 2008-12-06 19:57:52

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#155. What should come in the place of * mark in the following question?
1*5\$4 ÷ 148 = 78

(1) 1   (2)  4    (3)  6    (4)  8

#156. the number of digits of the smallest number, which whn multiplied by 7 gives the result containing entirely of nines is
(1) 3     (2)  5     (6)     (4) 8

#157.If 64²  - 36²  = 20q, what is the value of q?
(1) 70   (2) 120   (3) 180   (4) None of these

#158.

(1) 1   (2) 2   (3) 689   (4) 1023

#159. How many numbers between 200 and 600 are divisible by 4, 5, and 6?
(1) 5   (2) 6   (3) 7   (4) 8

#160. How many three-digit numbers are divisible by 6 in all?
(1) 149    (2) 150    (3) 151    (4) 166

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #17 2008-12-07 18:36:43

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#161. The fractions 1/3,4/7, and 2/5 wirtten in ascending order is
(1)

(2)

(3)

(4)

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #18 2008-12-08 00:46:13

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#162.The digits indicated by * and \$ in 3422213*\$ so that the number is divisible by 99 are respectively"
(1) 1,9    (2) 3, 7     (3) 4, 6     (4)  5,5

#163. A 4-digit number is formed by repeating a two-digit number such as 2525, 3232 etc. By what number is any number of this form always divisible?
(1)  7    (2)  11    (3)  13    (40 The smallest three-digit prime number.

#164. difference between the squares of two consecutive odd integers is always divisible by:-
(1)   3    (2)   6    (3)   7    (4)  8

#165.A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, what is the smallest possible number?
(1) 12     (2) 22     (3) 26    (4) 53

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #19 2008-12-08 03:21:02

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#166. The Least Common Multiple of two numbers is 4800 and their Greatest Common Divisor is 160. If one of the numbers is 480, what is the second number?
(1) 16   (2)  160 (3)  16,000   (4) 1,600

#167. Which of the following has fractions in the decreasing order?
(1)

(2)

(3)

(4)

#168. The Greatest Common Divisor and the Least Common Multiple of two 2-digit numbers are 16 and 480 respectively. The numbers are:
(1) 40, 48   (2) 60, 72   (3) 60, 80   (4) 80, 96

#169. The value of

is equal to:
(1) 2   (2) 1   (3)
(4]

#170. How many times the Greatest Common Divisor of 27, 51, and 60 is the Least Common Multiple of these three numbers?
(1) 360   (2) 3600     (3) 3060   (4)1020

#171.The difference between two numbers is 1365. When the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15. What is the smaller number?
(1) 240  (2) 270  (3) 295  (4) 360

#172. If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit's place and the thousandth place respectively are:-
(1) 0, 6   (2) 5, 6   (3) 5, 4   (4) None of these

#173. What is the least value that must be assigned to * so that the number 63576*2 is divisible by 8?
(1) 1    (2) 2    (3) 3    (4) 4

#174. A number 476**0 is divisible by both 3 and 11. The non-zero digits in the hundredth and tenth places respectively are:-
(1) 7, 4     (2) 7, 5     (3) 8, 5     (4) None of these

#175. Which of the following numbers is exactly divisible by 24?
(1) 35718    (2) 63810   (3) 537804   (4) 3125736

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #20 2008-12-08 18:27:56

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#176. Which is the smallest number of five digits exactly divisible by 476?
(1) 10000  (2) 10472  (3) 10476  (4) 47600

#177. On dividing a number by 999, the quotient is 366 and the remainder is 103. What is the number?
(1) 364724  (2) 365387  (3) 365737  (4) 366757

#178. On dividing 4150 by a certain number, the quotient is 55 and the remainder is 25. What is the divisor?
(1) 65   (2) 70   (3) 75   (4) 80

#179. A number when divided by the sum of 555 and 445 gives two times thei difference as quotient and 30 as the remainder. What is the number?
(1) 1220   (2) 1250   (3) 22030   (4) 220030

#180. A number when divided by 114 leaves the remainder 21. If the same number is divided by 19, then what will be the remainder?
(1) 1   (2) 2   (3) 7   (4) 21

#181. A number when divided by 296 gives a remainder 75. When the same number is divided by 37, what would be the remainder?
(1) 1  (2) 2  (3) 8  (4) 11

#182. A number when divided by 119 leaves 19 as the remainder. When the same number is divided by 17, what would the remainder be?
(1) 2   (2) 3   (3) 7   (4) 10

#183. A number when divided by 899 gives a remainder 63. If the same number is divided by 29, what would the remainder be?
(1) 3   (2) 4   (3) 5   (4) 10

#184. in a division, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend?
(1) 4236   (2) 4306   (3) 4336   (4) 5336

#185. In doing a division of a question with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35.  What is the correct quotient?
(1) 0   (2) 12   (3) 13   (4) 20

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #21 2008-12-09 02:26:00

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#186. If a + ib = (8-6i)-(2i-7), what are the values of a and b respectively?
(1) 8, -15    (2) 8, 15    (3) 1,4    (4) 15, -8

#187. In a set of integers with operation  *  defined as a*b = a + b - ab, what is the value of 3*(4*5)?
(1) 25     (2) 15     (3) 10     (4) 5

#188. What is the Surface area of a sphere when the volume is increasing at the same rate as its radius?
(1)  1  (2)

(3)
(4)

#189. The value of

is
(1) |z|²    (2) |z|    (3)2|z|    (4) 2|z|²

#190.The equation having 4-3i and 4+3i as the roots is
(1)x²+8x+25 = 0       (2) x²+8x-25 = 0     (3) x²-8x+25 = 0     (4) x²-8x-25 = 0

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #22 2008-12-09 17:08:24

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#191. If n[P(A)]=32 where P is the Power-set of set A, then what is n(A)?
(1) 2    (2) 3    (3) 5    (4) 6

#192. If

then find the set B.
(1) {2,5}   (2) {1,2,3,5}    (3) {2}    (4) {}

#193. If (ax+b) divides P(x), then reminder is
(1) P(a)     (2) P(-a)    (3) P(-b/a)    (4)P(b/a)

#194. If the roots of a quadratic equation are Real, equal and rational, then what is the value of b² -4ac?
(1) 0    (2) <0    (3) >0    (4) 4

#195. The length of a diagonal of a square is 4√2 centimeters. What is the area of the square?
(1) 32 square centimeters  (2) 16 square centieters  (3) 8 centimeters   (4) 64 square centimeters

#196. The center of a circle is (4, -1). If one end of diamter of the circle is (9,7), what is the other end?
(1)

(2) (18, 14)   (3) (-1, -9)   (4) (8, -2)

#197. The angle of depression of a stone from the top of a building is 30°. What is the angle of elevation of the top of the building from the stone?
(1) 15°     (2) 30°     (3) 60°     (4) 0°

#198. The Standard Deviation of the data 5, 10, 15, 20, 25 is 5√2. If we add 3 to each term, then whatwould the new Standrad deviation be?
(1) 3 + 5√2   (2) 8√2   (3) 5√2   (4) 2√2

#199. The probability of an impossible event is
(1) 0   (2) 1   (3) 2   (4) Not defined

#200. Find the fifth term of the Geometric Progression 3, 6, 12, ....
(1) 36   (2) 42    (3) 27    (4) 48

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #23 2008-12-10 00:23:34

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#201. If the number 42573* is divisible by 72, which of the following numbers should replace the asterik?
(1) 4   (2)   5   (3)   6   (4) 7

#202. Which of the following is divisible by 99?
(1) 114345   (2) 135792   (3) 913464   (4) 3572404

#203. How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, and 6336.
(1) 4   (2) 5   (3) 6   (4) 7

#204.If x and y are the two digits of 653xy such that the number is divisible by 80, what is the value of x+y equal to?
(1) 4     (2) 5     (3) 6     (4)8

#205. Which of the following numbers is divisible by all prime numbers from 2 to 17 (both included)?
(1) 345345     (2) 440440    (3) 510510    (4) 515513

#206. What is the number of times 99 must be subtracted from 1111 so that the remainder is less than 99?
(1) 10     (2) 11     (3) 12     (4) 13

#207. Find the number nearest to 457 that is exactly divisible by 11.
(1) 450      (2) 451      (3) 460     (4) 462

#208. When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition?
(1) 240, 335    (2) 250, 341     (3) 245, 342      (4) None of these

#209. Which of the following numbers should be added to 11158 to make it divisible by 77?
(1) 5     (2)7     (3) 8     (4) 9

#210. What is the least number that must be subtracted from 427398 so that the remaining number is divisible by 15?
(1) 3     (2) 6     (3) 11      (4) 16

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #24 2008-12-11 02:34:36

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#211. Which is the smallest number to be added to 680621 to make the sum a perfect square?
(1)  4   (2)  5   (3)  6    (4)  8

#212. Which is the greatest four digit perfect square?
(1) 9000    (2) 9801   (3) 9900    (4) 9981

#213. What is the value of

?

#214. The least perfect square number which is divisible by 21, 36, and 66 is:-
(1) 213444    (2) 214344    (3) 214434    (4) 231444

#215. The least perfect square which is divisible by 3,4,5,6, and 8 is:
(1) 900    (2) 1200    (3) 2500     (4) 3600

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #25 2008-12-13 18:40:08

Jai Ganesh
Registered: 2005-06-28
Posts: 45,493

### Re: Multiple Choice questions:

#216. The value of

is equal to:

(1) √5     (2)  5      (3) 5√5         (4) 25

#217. What is the value of

?

(1) 102   (2) 105   (3) 107   (4) 109

#218.

(1)

(2)

(3)
(4)

#219. The value of

is :-
(1)
(2)

(3)
(4)

#220. The value of

is equal to:-
(1)

(2)

(3)

(4)

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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