Solved Question Papers » Mathematics

ARITHMEITC,GEOMETRIC & HARMONIC MEANS (A.M, G.M & H.M) : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:58:38 +0000

1. The geometric mean of two numbers is 16. If one number is 32, the other number is
a) 4 b) 6 c) 8 d) 10
2. The geometric mean of 4 and 16 is
a) 8 b) 12 c) 16 d) None of these
3. The average of first 5 multiples of 3 is
a) 6 b) 8 c) 9 d) None of these
3. The Harmonic Mean of 4 and 6 is
a) 4.5 b) 4.8 c) 5 d) 5.2
4. The arithmetic mean of 8 items is 2.5 and that of 12 items is 3. Then the arithmetic mean of the entire set of 20 items is
a) 2.75 b) 2.80 c) 2.85 d) 2.90
5. The Geometric mean of 2, 4, 8 is
a) 2 b) 8 c) 4 d) 2
6. If the arithmetic mean of two numbers is 10 and their geometric mean is 8, the numbers are
a) 20,5 b) 16,4 c) 15,5 d) 12,8

Boat Problems : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:57:39 +0000

1. A man rides at the rate of 20 km/hr and stops for 12 minutes at the end of every 25 km. The time he takes to cover a distance of 145 km is
a) 8 hrs. 15 min. b) 8 hrs. 27 min. c) 8 hrs. 30 min. d) 8 hrs. 45 min.
2. A boat move downstream at the rate of 3 kmph and upstream at the rate of 5 kmph. The speed of the boat in still water is
a) 6 kmph b) 6.5 kmph c) 7 kmph d) 7.5 kmph
3. The current of a stream runs at the rate of 4 km/hr. A boat goes 6 km and comes back to the starting point in 2 hours. The speed of the boat in still water is
a) 6 km/hr b) 7.5 km/hr c) 6.8 km/hr d) 8 km/hr

Train Problems : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:56:46 +0000

1. A car runs at the rate of 15kmph during the first 30kms and at 25kmph during the second 50kms. What is the average speed for the entire trip?
a) 15kmph b) 20kmph c) 25kmph d) 30kmph
2. A train covered the first 5 km of its journey at a speed of 30 km/h and the next 15 km/hr at a speed of 45 km/h. The average speed of the train was
a) 35 km/hr b) 40 km/hr c) 32 km/hr d) 42 km/hr
3. A car travels the first 100 km at a speed of 40 km/hr and the next 200 km at 60 km/hr. Find the average speed?
a) 50 km/hr. b) 52.8 km/hr c) 51.4 km/hr d) 51.6 km/hr
4. A man walking at a rate of 9 km per hour crosses a square field diagonally in 18 seconds. The area of the field is
a) 2025 sq .m. b) c) 1012.5 sq. m. d) 2025 sq. m.
5. One man travels at the speed of 64 km/hr. for the first 160 km, then travels the next 160 km at the speed of 80 km/hr. what is the average speed for the 320 km?
a) 35.55 km/hr b) 36 km/hr c) 71.11 km/hr d) 72 km/hr
6. Two trains 121 m and 99 m long are running in opposite direction at speeds of 40 km/hr and 32 km/hr respectively. In what time they completely pass each other from the moment they meet?
a) 8 sec b) 11 sec c) 12 sec d) 10 sec
7. A train running at 30metre/second takes 30 seconds to cross a platform of 600 m long. The length of the train (in metre) is
a) 120 b) 150 c) 200 d) None of these
8. A thief running at a speed of 8 km/hour is chased by a policeman at a speed of 10 km/hour. If the thief is ahead by 100 meters, the police man will catch him after
a) 2 minutes b) 6 minutes c) 10minutes d) 3 minutes
9. A bus travelled 200 km in 4 hours. The first 125 km was travelled in 2 ? hours. What is the average speed with which the bus travels the remaining distance?
a) 50 km/hr b) 55 km/hr c) 60 km/hr d) None of these
10. A cyclist travels 10 km with a speed of 5 km/hhour and 15 km with a speed of 7.5 km/hr. What his average speed?
a) 6 km/hr b) 6.25 km/hr c) 6.5 km/hr d) None of these
11. A car runs at the rate of 15 kmph during the first 30 kms and at 25 kmph during the second 50 kms. What is the average speed for the entire trip?
a) 15 kmph b) 20 kmph c) 20 kmph d) 30 kmph
12. A train 270 metres long is moving at a speed of 25 km/hour. It will cross a man coming from the opposite direction at a speed of 2 km/hour in
a) 36 sec b) 32 sec c) 28 sec d) 24 sec
13. How many seconds will a train, 100 m long, running at the rate of 20 km/hr. take to pass a certain telegraph post?
a) 18 sec b) 12 sec c) 20 sec d) 10 sec
14. A man travels 10 km in the first hour, 20 km in the second hour and 30 km in the third hour. Then his average speed for three hours is
a) 25 km/hr b) 35 km/hr c) 20 km/hr d) 15 km/hr

Direction : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:55:01 +0000

3. A starts and walks towards south. He then turns to his right and walks 3km and then again turns left and walks 5km. In which direction is he from the starting point?
a) West b) South c) North d) North-east
4. A went 10 m to the east, then turned north and walked another 5 m, then turned west and covered 12 m and then turned south and covered 15 m. How far is he from his starting point?
a) 0 m b) 3 m c) 2 m d) none of these
5. A person starts from A and travels 3 km. in the north-east direction and then travels 4 km in the south-east direction and reaches B. The distance between A and B is
a) 3 km b) 4 km c) 5 km d) none of these
6. A man travels 2 miles, turns left and travels another 4 miles, then turns right and travels yet another mile. How far is he from the starting point?
a) 4 miles b) 5 miles c) 6 miles d) 7 miles
7. I go north, then turn right, then right again and then left. In which direction am I going now?
a) East b) West c) North d) South
8. Rita travelled 5 km north and then turned right and travelled 12 km. What is the distance of her from the starting point?
a) 13 km b) 17 km c) 7 km d) 144 km

Missing Number : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:53:57 +0000

1. The missing number (?) in the following series is 3, 7, 9, 13, 15, 19, (?), 25
a) 23 b) 20 c) 21 d) 22
2. Find the missing term in the following series: 1, 1, 2, 3, 5, 8,?, 21.
a) 7 b) 12 c) 13 d) 15
3. Find the missing term in the following series: 81, 9, 64, 8, 49, 7, 36, 6, 25, ?
a) 3 b) 5 c) 7 d) 10
4. Find the missing term in the series: 2, 5, 6, ?, 15, 16, 32, 35, 36
a) 9 b) 12 c) 10 d) 14
5. Complete the series: , , , ,?.
a) b) c) d)
6. What is the next number in the series:3, 9, 19, 33,?..?
a) 51 b) 53 c) 55 d) 61
7. In the series 2, 7, 14, 23, ?, 47, the number in the place of ? is
a) 35 b) 34 c) 33 d) None of these
8. The next term in the series 81, 27, 9, 3,.??
a) b) 1 c) d)
9. 243, 5, 81, 15, 27, 45, 9, ? The missing number in the above series is
a) 8 b) 6 c) 130 d) 135
10. Supply the missing number:1, 4, 9, 15, 26, ?.. 49
a) 27 b) 64 c) 81 d) 36
11. Complete the number series: 81, 69, 58, 48, 39,?.
a) 7 b) 3 c) 31 d) 32
12. Find the missing number in the following series: 4, 8, 24, 96, ?..
a) 480 b) 520 c) 560 d) 640
13. Complete the series: 1, 9, 25, 49, 81,
a) 91 b) 101 c) 111 d) 121
14. Complete the series: 64, 8, 49, 7, 36, 6, 25?..
a) 1 b) 3 c) 5 d) 10
15. Complete the series:7, 11, 8, 12, 9, 13, 10,?.
a) 14 b) 15 c) 16 d) 17
16. Complete the series:1,10, 2, 20, 3, 30, 4??
a) 5 b) 10 c) 20 d) 40
17. The 11th term of the series 2, 4, 6, ?. is
a) 20 b) 22 c) 18 d) 24
18. Find the missing number: 1, 2, 3, 6, 12,?..?
a) 48 b) 42 c) 36 d) 30

Algebrical Problems : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:52:58 +0000

ALGEBRICAL PROBLEMS1. (153?109) + (82?153) – (153?91) =?
a) 14,300 b) 15,300 c) 16,300 d) 17,300
2.
a) 3.9 b) 39 c) 34.45 d) 50
3. On simplification:
(0.01?0.01+0.02?0.02+0.03?0.03+0.0004+0.0012+0.0006)?0.036 reduces to
a) 0.1 b) 10 c) 100 d) 1.0
4. (0.6?0.6+0.6)?6 is equal to
a) 0.16 b) 0.46 c) 0.37 d) 0.42
5.
a) 35 b) 30 c) 10 d) 1
6. (3) 4 + (2)4 + 2?25 = ?
a) 69.5 b) 97.5 c) 96.5 d) none of these
7.
a) b) c) d)
8. 26-[5-(12-3)] =?
a) 16 b) 18 c) 24 d) none of these
9. =?
a) 2?6 b) 2 c) d) 6?2
10.
a) 0.14 b) 0.8 c) 13.3 d) 1
11. (3.2?10+3) ? (8?10-2)
a) 4?104 b) 4?105 c) 40 d) 40?10-5
12. Simplify:
a) 0.0101 b) 0.01 c) 0.1 d) 1
13. (0.04)3?(0.2)2 is the same as
a) (0.4) ?(0.02)6 b) (0.04)2?(0.02)3 c) (0.04) ?(0.2)6 d) (0.04)2?(0.02)4
14. If UPSC is 21, 16, 19, 3 then TNPSC is
a) 20, 14, 16, 19, 3 b) 14, 20, 16, 19, 3 c) 21, 15, 16, 19, 3 d) None of these
15. The value of log5 is equal to
a) 725 b) 6 c) 3125 d) 5
16. 3 +5 +6 =?
a) 12 b) 10 c) 18 d) None of these
17. Supply the missing figure: ? ? ? ? =
a) 3 b) 2 c) 4 d) 5
18. The value of the following: 3+2+1+0 is
a) 9 b) 8 c) 10 d) None of these
19. Simplify: (999)2
a) 19848 b) 108431 c) 93670 d) 998001
20. 0.000033?0.11=?
a) 0.003 b) 0.03 c) 0.0003 d) 0.3
21. If 6?2=31, 8?4=42, 2?2=11, then 6?6=?
a) 34 b) 33 c) 36 d) 32
22. Find the value of
a) 22 b) 50 c) 100 d) 132
23. Find the value of + + ?
a) b) c) d) None of these
24. 0.5-0.0036=?
a) 0.4964 b) 0.4864 c) 0.4854 d) 0.4954

Average and Standard Deviation : Mathematics Objective Questions

Editor — Sun, 01 Feb 2009 08:51:29 +0000

1. 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 the girls is 51.4 years. The ratio of number of boys to the numbers of girls in the class is
a) 1 : 2 b) 3 : 4 c) 3 :5 d) 2 : 3
2. The mean weight of 9 items produced by a factory was 5 kg. By the production of one more item, the mean weight became 5.5 kg. Then the weight of the item produced is
a) 8 kg b) 10 kg c) 12 kg d) 14 kg

3. The densities of three liquids are D, 2D and 3D. What will be the density of the resulting mixture, if equal volumes of the three liquids are mixed?
a) 6 D b) 1.4 D c) 2 D d) 3 D
4. Average mark scored by a class of 31 students is 40. If one student is left out, the average falls to 39. Mark of this child is
a) 60 b) 41 c) 70 d) 39
5. The average age of 4 sisters is 7 years. If the age of mother is included, the average is increased by 6 years. The age of the mother is
a) 28 years b) 33 years c) 34 years d) 37 years
6. In which of the following, the average is 100?
a) 100,105,110,112,120 b) 94,95,96,97,100
c) 94, 99,100,101,106 d) None of these

7. The marks obtained by 11 students in Computer Science are as follows: 94,94,91,89,87,92,97,88,90,98,92.
How many of the about values are below the average ?
a)
8. The mean and median of a certain value are 2.5 and 3 respectively. Then the mode of the variate is
a) 2 b) 3 c) 3.5 d) none of these
9. On 5 days, the price of gold was Rs. 380 on each day. On the next 10 days, the price was Rs. 390 on each day. What was the daily average price ?
a) Rs. 385.00 b) Rs. 386.00 c) Rs. 390.00 d) None of these
10. Which tow series of the following three series have the same mode ?
1) 5 8 8 13 9 12 8
2) 8 12 6 8 10 8 7
3) 9 8 14 9 12 9 8
a) series 1 and series 2 b) series 1 and series 3 c) series 2 and series 3 d) none of these
11. The heights of eight six ? year old boys are given below :
Height ( in cm ) : 80, 81, 83, 81, 78, 80, 79, 81 . The mode is
a) 81 b) 79 c) 73 d) 76
12. Daily average rainfall in a week is 7 cms, daily average rainfall in the first 6 days of the week is 6cms. What is the rainfall on the last day?
a) 1cm b) 7 cms c) 13 cms d) 43 cms
13. Five years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average age of all the five is 49 years. The age of E in years is
a) 25 b) 40 c) 45 d) 49
14. The most stable measure of Central Tendency is
a) The mean b) The median c) The mode d) none of these
15. Secondary data should be used them because
a) it is easily available b) it is less costly to use
c) the source and purposes known d) the data meets the purpose
16. A Library has an average number 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 as Sunday is
a) 285 b) 276 c) 250 d) 280
17. The empirical relationship connecting the three main averages is
a) Mean ? Median = Mean ? Mode
b) Mode ? Median = 2(Median ? Mean)
c) Mean ? Mode = 3(Mean ?Median )
d) 3 ( Mean ? Mode ) = Median ? Mode
18. In a normal distribution, which relation is true?
a) mean ? median = mode b) mean ? median ? mode
c) mean = median ? mode d) mean = median = mode
19. The average that can be found out with help of Ogives is
a) Mean b) Median c) Range d) Harmonic mean
20. The average income of sample A is 300 and the average income of sample B is 200. Their sizes are 10 and 15 respectively. Find the combined average.
a) 240 b) 20 c) 230 d) None of these
21. A student has to score 40% marks to pass. He gets 178 marks and fails by 22 marks. The maximum mark is
a) 200 b) 500 c) 800 d) 1000
22. The mode of the numbers 6,5,5,4,5,5,4,4,6 is
a) 4 b) 5 c) 6 d) None of these
22. The less reliable measure of dispersion is
a) Regression coefficient b) Standard deviation
c) Correlation coefficient d) Range
23. The average of first five odd natural numbers
a) 3.0 b) 4.5 c) 5.0 d) 6.0
24. A cricketer makes 72, 59,18,101 and 7 runs respectively in five matches played by him. Find his average score.
a) 50.0 b) 51.0 c) 51.4 d) none of these
25. In a class of 40 students 5 were absent for a test. The average marks in it came out of 60. Those 5 students wrote a retest and the average marks calculated for all the 40 students came out as 60. The total marks scored by those 5 students were
a) 0 b) 100 c) 300 d) None of these
26. The average age of a family of 6 members is 25 years. The average age of the family after a 45 year old member leaves is
a) 20 years b) 21 years c) 22 years d) 23 years
27. The average weight of a class of 40 students is 50 kg. if the teacher is also included, the average weight increases to 50.5 kg. the weight of the teacher is
a) 70.5 kg b) 71.5 kg c) 72.5 kg d) 75 kg
28. The mean of 100 observations is 60. What will be the new value of mean, if 8 is subtracted from each observation and then divided by 4 ?
a) 50 b) 52 c) 13 d) 14
29. The most stable measure of central tendency is
a) the mean b) the median c) the mode d) geometric mean
30. The heights of 5 persons are 59, 63, 68, 60,72 inches. The value of range is
a) 10 b) 13 c) 12 d) 15
31. The sum of deviations taken from arithmetic mean is
a) 2 b) 0 c) 4 d) 5
32. The arithmetic mean of 21, 30, 33 and 64 is
a) 35 b) 28 c) 37 d) 42
33. In a symmetrical distribution
a) mean > median> mode b) mean < median> mode
c) mean = median = mode d) mean > median< mode
34. What is the median of 45, 65, 35, 42, 75, 21, 64, 5 ?
a) 48.5 b) 47.6 c) 42 d) None of these
35. The prices of commodity in six days are Rs.200, Rs.210, Rs.208, Rs.160, Rs.220, Rs.250. The range is
a) Rs.208 b) Rs.210 c) Rs.160 d) Rs.90
36. If the average marks of 20 male and 30 female students in a class are respectively 45 and 40, the average marks of the class is
a) 41 b) 42 c) 44 d) 42.5
37. In a symmetrical distribution with median equal to 10, the mean is
a) greater than 10 b) less than 10 c) equal to 10 d) not equal to 10
38. The average, which gives equal importance?s to all times in the distribution, is
a) median b) mode c) both a & b d) neither a nor b
39. For unimodal distribution, which one of the following diagrams is used to find the mode ?
a) Pie ? diagram b)Frequency polygon c) Ogive d) None
40. With the help of Ogive curve, one can determine
a) median b) decibels c) percentiles d) all these
41. The median of the first 42 natural number is
a) 21 b) 21.25 c) 21.5 d) 22
42. Average marks of 30 boys of a class is 70. Average marks of 20 girls of the class is 80. what is the average marks per students class ?
a) 70 b) 74 c) 75 d) 80
43. The mean and mode of the following set of values are 66,65,61,65,66,60,65
a) 62 and 63 b) 63 and 64 c) 64 and 65 d) 62 and 65
44. If the mean farm ? size is 5 acres, find the value of y.
Farm ? size in acres : 1 2 3 y
Frequency : 10 20 30 40
a) 4 b) 9 c) 10 d) None of these
45. The mode of the following data is
2, 3, 5, 3, 7, 3, 5, 2, 7, 3
a) 5 b) 2 c) 3 d) 7
46. The prices of a share during the seven days in a week are as follows:
Price (in Rs.): 102, 96, 98, 101, 104, 103, 100
The median value is:
a) 104 b) 102 c) 101 d) 100
47. The range of given in value id
a) x standard deviation b) Maximum value – Minimum value
c) Standard Deviation/Mean d) None of these
48. Variance is
a) Always negative b) May be positive or negative
c) Always positive d) None of these
49. The standard deviation of series 1,2, 3, 4, 5 is
a) b) c) 11 d) 55
50. A class contains 10 students. The marks obtained by them in a test are 43, 48, 65, 57, 31, 60, 37, 48, 78, 59.
a) 3 b) 4 c) 5 d) 7
51. The median of the first 21 number is
a) 10 b) 11 c) 12 d) None of these
52. The average marks of 8 students was found to be 80. How ever, it was later found that the value 90 was wrongly copied as 32. What is correctly average?
a) 82 b) 81 c) 80 d) 79
53. Which of the following sets of data has equal median and mode?
a) 1, 5, 7, 7, 8, 10 b) 1, 3, 5, 7, 9, 5 c) 2, 4, 6, 8, 10, 8 d) 1, 2, 3, 7, 8, 8, 10
54. For a more than Ogive, which of the following statements are false:
I) As X decreases Y also decreases II) As X increases Y decreases
III) As X decreases Y increases IV) As X increases Y also increases
Of these:
a) I and II are incorrect b) II and III are incorrect c) III, IV are incorrect d) I and IV are incorrect
55. Consider the following set of values: 31,27,30,28,29,23
What can you say about the mean median and mode of these values?
a) They are same b) They are different c) Cannot say surely d) None of these
56. The average age of 30childrens in a class is 9 years. If the teacher?s age is added, the average age become 10 years, then teacher?s age in years in
a) 40 b) 31 c) 30 d) 27
57. The average age of a husband and wife who were married four years ago was 30 ,then the average age of the family consisting of the husband wife and a child now is 23. The age of the child is
a) Less than 1 year b) 3 years c) 2 years d) 1 year

Objective Mathematics Model Question Papers for Competitive Examinations

Editor — Sat, 24 Jan 2009 13:30:25 +0000

1. (153 x 109) + (82 x 153) + (153 x 91) = ?
a) 14,300 b) 15,300 c) 16,300 d) 17,300
2. In the geometric series, , , ,????, the 8th term is
a) b) c) d)
3. The average weight of a group of 25 boys was calculated to be 30 kg. It was later discovered that one weight was misread as 25 kg instead of 35 kg. Then the correct average is
a) 30.0 kg b) 30.2 kg c) 30.4 kg d) 31.0 kg
4. Average marks scored by a class of 31 students is 40. If one student is left out the average falls to 39. Mark of this child is
a) 60 b) 41 c) 70 d) 39
5. The average age of 4 sisters is 7 years. If the age of mother is included ,the average is increased by 6 years. The age of the mother is
a) 28 years b) 33 years c) 34 years d) 37 years
6. The median of the set of observations: 27,36,28,18,35,26,35,40,26,50 is
a) 20 b) 26 c) 27 d) 28
7. If x + y = 3 and xy = 2, x3 + y3 = ?
a) 7 b) 10 c) 14 d) 17
8. On simplification: (0.01 x 0.01+0.02 x 0.02+0.03 x 0.03+0.0004+0.0012+0.0006) ? 0.036 reduces to
a) 0.1 b) 10 c) 100 d) 1.0
9. A boat moves downstream at the rate of 3 kmph and upstream at the rate of 5 kmph. The speed of the boat in still water is
a) 6 kmph b) 6.5 kmph c) 7 kmph d) 7.5 kmph
10. The geometric mean of two numbers is 16. If one number is 32, the other number is
a) 4 b) 6 c) 8 d) 10
11. The mean and median of a certain value are 2.5 and 3 respectively. Then the mode of the variate is
a) 2 b) 3 c) 3.5 d) None of these
12. The type of average that can be used to find out the average rate of speed is
a) Harmonic mean b) Geometric mean c) Arithmetic mean d) Median
13. The height of eight six-year old boys are given below:
Height (in cm): 80, 81, 83, 81, 78, 80, 79,81
The mode is
a) 81 b) 79 c) 78 d) 76
14. Ogives of more than type and less than type distributions intersect at
a) Mean b) Median c) Mode d) Origin
15. The value of is
a) 32n b) 3n-1 c) 1/36 d) 1
16. The value of the following: 3+2+1+0 is
a) 9 b) 8 c) 10 d) None of these
17. If = , then the value of is
a) b) c) 2 d) 1
18. The average ,which gives equal importances to all items in the distribution, is
a) median b) mode c) both (a) & (b) d) Neither (a) nor (b)
19. Supply the missing figure:
? ? ? ? =
a) 3 b) 2 c) 4 d) 5
20. What percent of 7.2 kg is 18 grams?
a) 25% b) 2.5% c) 0.25% d) 0.025%
21. A sum amounts to Rs.605 in two years and Rs.665.50 in the third year. What is the rate of interest?
a) 3% b) 7% c) 10% d) 9%
22. The compound interest on Rs.10,000 for 3 years at 10% per annum is
a) Rs.3,312 b) Rs.3,310 c) Rs.3,300 d) Rs.330
23. In a symmetrical distribution with median equal to 10, the mean is
a) greater than 10 b) less than 10
c) equal to 10 d) not equal to 10
24. Rajan?s age is two years less than twice of Rama?s. If Rajan is 16 years old,how old is Rama?
a) 7 b) 9 c) 14 d) 10
25. A man had 17 cows. All but nine died. How many is left with him?
a) 9 b) 8 c) 11 d) 9
26. Simplify: (999)2
a) 19848 b) 108431 c) 93670 d) 998001
27. A cat in front of two behind two cats and one cat in the middle.How many cats are there?
a) 5 b) 3 c) 7 d) 9
28. The median of the first 42 natural numbers is
a) 21 b) 21.25 c) 21.5 d) 22
29. The mean and mode of the following set of values are 66,65,61,65,66,60,65
a) 62 and 63 b) 63 and 64 c) 64 and 65 d) 62 and 65
30. The mode of the following data is:2,3,5,3,7,3,5,2,7,3
a) 5 b) 2 c) 3 d) 7
31. Average marks of 30 boys of a class is 70.Average marks of 20 girls of the class is 80. What is the average marks per student of the class?
a) 70 b) 74 c) 75 d) 80
32. The Harmonic Mean of 4 and 6 is
a) 4.5 b) 4.8 c) 5 d) 5.2
33. The arithmetic mean of 8 items is 2.5 and that of 12 items is 3. Then the arithmetic mean of entire set of 20 items is
a) 2.75 b) 2.80 c) 2.85 d) 2.90
34. The standard deviation of the series 1,2,3,4,5 is
a) b) c) 11 d) 55
35. The mean of first 10 multiples of 5 is
a) 5 b) 11 c) 27.5 d) 55
36. The median of the first 21 natural numbers is
a) 10 b) 11 c) 12 d) None of these
37. The average marks of 8 students was found to be 80. However, it was later found that the value 90 was wrongly copied as 32. What is the correctly average?
a) 82 b) 81 c) 80 d) 79
38. A whole seller gives 10% discount and then another 20%.The total discount is
a) 30% b) 28% c) 25% d) None of these
39. ?
a) 3.9 b) 39 c) 34.45 d) 50
40. A man bought two hens at the same price and sold one at a gain of 20% and other at the loss of 20%.On the whole the man will
a) gain b) loss c) neither gain nor loss d) none of these
41. If A?s income is 10% more than B, how much %, If B?s income less than A?
a) 9 % b) 10 % c) 11% d) 13%
42. The mean age of a group of 100 children is 10 years and the mean age of 25 of them is 8 years and that of another 65 is 11 years. Then the mean age of the remaining 10 children is
a) 7.5 years b) 8.0 years c) 8.5 years d) 9.0 years
43. The area of a circle whose radius is 7 feet is equal to the area of a rectangle whose length is 7 feet. The breadth of the rectangle is
a) 7 b) 49 c) 22 d) 14
44. In 10 years A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is
a) 19 years b) 29 years c) 39 years d) 49 years
45. A train covered the first 5 km of its journey at a speed of 30 km/hr and the next 15 km at a speed of 45 km/h. The average speed of the train was
a) 35 km/h b) 40 km/h c) 32 km/h d) 42 km/h
46.On 5 days, the price of gold was Rs.380 on each day. On the next 10 days, the price was Rs.390 on each day. What was the daily average price?
a) Rs.385.00 b) Rs.386.67 c) Rs.390.00 d) None of these
47. a and b are 2 real numbers. The relation = is
a) always true b) never true c) true when a and b are positive d) true when either a or b is non-negative
48. If x is positive and real, the value of x + is
a) not defined b) is between 0 and 1 c) less than 2 d) greater than or equal to 2
49. Cost price of 30 articles is equal to selling price of 24 articles. The percentage of gain is
a) 20% b) 25% c) 15% d) 22.5%
50. x sold an article to y at a gain of 10%, y sold it to z at a gain of 20%.If z paid Rs.2640 for it, What did it cost to x?
a) Rs.1500 b) Rs.1700 c) Rs.2000 d) Rs.2500
51. 0.3 can be expressed as a
a) natural number b) integer c) rational number d) irrational number
52. If 4x+1?4x =24 then the value of (2x)x is
a) b) 3 c) 3 d) 9
53. The value of is
a) 9 b) 3 c) 0.9 d) 1
54. Find the value of x, given x:3 = :0.13
a) b) 5 c) 10 d) 20
55. Which one of the following gives the correct relation?
a) = 0.3 b) 0.1 > (0.1)2 c) = 0.2 d) 0.9 <
56. A rectangular hall 12 metres long, 10 metres broad is surrounded by a verandah 2 metres wide. Find the area of the verandah?
a) 224 sq..metres b) 104 sq..metres
c) 124 sq..metres d) 134 sq..metres
57. The diameter of a right circular cone is 14 metres and its height is 12 metres. Its volume is
a) 564 m3 b) 500 m3 c) 616 m3 d) 418 m3
58. The ratio between two numbers is 2:3 one number is greater than the other by 15. The numbers are
a) 15,30 b) 30,45 c) 20,30 d) 30,50
59. A sum of Rs.10,000 doubles in 5 years at compound interest. What will be the amount after 15 years?
a) 15 b) 10 c) 12 d) 8
60. If the length of a rectangle is increased by 20% and its width is decreased by 20%.Then the area of the rectangle will
a) increases by 2% b) decreases by 2%
c) increases by 4% d) decreases by 4%
61.The arithmetic mean of the set of numbers 1,2,3,?..,n is
a) b) c) d)
62. 5 + 10 + ?. + 105 =
a) 1100 b) 1150 c) 1155 d) 1200
63. (0.6?0.6+0.6)?6 is equal to
a) 0.16 b) 0.46 c) 0.37 d) 0.42
64. The sum of first 50 natural numbers is
a) 2525 b) 1725 c) 1275 d) 2550
65. The value of 1 + is
a) b) c) d)
66. A tap A fills a tank in 15 hours and another tap B empties it in 30 hours. If both the taps are opened, in how many hours the tank will be full?
a) 30 b) 15 c) 25 d) 60
67. A car travels the first 100 km at a speed of 40 kmph and the next 200 km at a speed of 60 kmph. Find the average speed
a) 50 kmph b) 52.8 kmph c)51.4 kmph d) 51.6 kmph
68. If the arithmetic mean of two numbers is 10 and their geometric mean is 8, the numbers are
a) 20,5 b) 16,4 c) 15,5 d) 12,8
69. If 20% of a number is 12, the number is
a) 40 b) 54 c) 60 d) 48
70. If x men can do a piece of work in 8 days and (x+4) men can do the same work in 6 days, then x is equal to
a) 10 b) 6 c) 12 d) 24
71.
a) ?(x+2)(x-2)(4x+1) b) ?(x+2)(x-2)(4x-1)
c) ?(x-2)(x-2)(4x-1) d) ?(x+2)(x+2)(4x+1)
72. In what time will a sum of money double itself at 6 % p.a. simple interest?
a) 5 years b) 8 years c) 12 years d) 16 years
73. The compound interest on Rs.5000 at 16% per annum for 1 year compound half-yearly is
a) Rs.832 b) Rs.382 c) Rs.283 d) Rs.823
74. What is the value of the following? 0!?1!?2!?4!?5!
a) 4870 b) 5870 c) 5760 d) 4760
75. What is the number whose 16 % is 40?
a) 200 b) 240 c) 120 d) 320
76. Three tractors working together can plough a field in 16 hours. How long will it take for 8 tractors to plough the same field?
a) 3 hours b) 4 hours c) 8 hours d) 6 hours
77. Simplify:
a) 1 b) 2 c) 3 d) 2 ?
78. What percent of 70 is 46 ?
a) 63 b) 65 c) 66 d) 64
79. What is the value of + + =
a) b) c) d)
80. If = then is
a) b) c) d) 0
81. If 12 men can do a piece of work in 24 days, then how many days can 18 men do the same work?
a) 36 b) 20 c) 16 d) 12
82. What is the value of 35% of ?
a) 0.25 b) 15 c) 1.5 d) 0.15
83. If a sum becomes 3 times in 3 years at compound rate in how many years will it become 9 times?
a) 6 years b) 9 years c) 4 ? years d) cannot be determined
84. Simplify:
a) 10 b) 12 c) 14 d) 16
85. 4a2 ? 4ab + b2 is the expansion of
a) (a-b)2 b) (2a+b)2 c) (2a-b)2 d) (a-2b)2
86. The average of the first four prime numbers
a) 3.5 b) 4.6 c) 5.6 d) None of these
87. Three cubes of sides 3 cm, 4 cm and 5 cm are melted to form a new cube. The side of the new cube is
a) 5 cm b) 6 cm c) 6.5 cm d) 7 cm
88. The sixth term in the following series is
50,10,2, ,???
a) b) c) d)
89. The sum of any four consecutive numbers is always
a) even b) odd c) prime number d) either odd or even
90. A piece of wire of length 44 cm is bent in the form of a circle. The area of the circle thus formed is
a) 8.5 sq.cm b) 67.0 sq.cm c) 154 sq.cm d) 308 sq.cm
91. A glass cylinder is melted and remoulded into cones of original height and radius. The number of cones formed is
a) 1 b) 2 c) 3 d) 4
92. The least number of men that could be arranged in a group 25,45 and 60 is
a) 900 b) 450 c) 60 d) 1800
93. Cube root of 0.008 is
a) 0.2 b) 0.02 c) 0.002 d) ?
94. If = 1+ then x is
a) 1 b) 2 c) 3 d) 5
95. The LCM of two numbers is 72 and HCF is 12. If one of the numbers is 24,the other number is
a) 48 b) 36 c) 18 d) 30
96. The sum of first 5 odd numbers is
a) 15 b) 25 c) 16 d) 18
97. Which of the numbers 5,9,2,6,1 can never take the unit?s place in a perfect square is
a) 5 b) 9 c) 6 d) 2
98. If the geometric mean of x,16,50 be 20 then the value of x is
a) 40 b) 20 c) 10 d) 32
99. Cost price of 40 articles is equal to the selling price of 30 articles. The percentage gain is
a) 20% b) 25% c) 33 ? d) 30%
100. If 5 men take 2 hours to dig a ditch, how long will it take 12 men to dig a ditch?
a) 45 minutes b) 50 minutes c) 54 minutes d) 60 minutes

Ratio and Proportion : Mathematics Objective Questions

Editor — Sun, 18 Jan 2009 09:08:03 +0000

RATIO AND PROPORTIO1. What is the ration between the ages of Suresh and Ramesh if their ages are 18 years and 24 years respectively.
a) 4:3
b) 2:3
c) 3:4
d) 8:3

2. If A:B =4:3, B: C=5:2 then A:B:C is
a) 20:6
b) 6:2:4
c) 1:2:3
d)20:15:6

3. If 6 girls complete a work in 15 days then 9 girls will complete the work in
a) 10 days
b) 12 days
c) 8 days
d) 6 days

4. In a class, ratio between girls and boys is 1:4. If the number of boys is 44, what is the total strength of the class.
a) 45
b) 55
c) 48
d) 43

5. Divide Rs.600 among A:B:C in the ratio 3:5:7, then B?s share is
a) Rs.120
b) Rs. 200
c) Rs.280
d) Rs.400

6. Divide 180 in the ratio , ,
a) Rs.40,80,60
b) Rs.80,40,60
c) Rs.87,58,35
d) Rs.80,60,40

7. Divide Rs.1,791 in three parts so that 3/7 of the first, 2/3rd of the second and 4/5th of the third are equal. Then the share of the third is Rs.?
a) Rs.400
b) Rs.620
c) Rs.720
d) Rs.756

8. Divide Rs.15000 among ABC in the ratio 6:7:2 then A?s share is
a) Rs.6,000
b) Rs.7,000
c) Rs.8,000
d) Rs.12,000

9. Divide Rs.1900 in three parts such that 4 times the first, 6 times the second and 9 times the third are equal. Then the sum of the first and second is
a) Rs.1,000
b) Rs.1,500
c) Rs.1300
d) Rs.900

10. If 25:x = x:9, then the value of x is
a) 15
b) 9
c) 6
d) None of these

Mensuration : Mathematics Objective Questions

Editor — Sun, 18 Jan 2009 09:03:51 +0000

1. If the sides of a square be increased by 50% the present increase in the area will be
a) 100%
b) 25%
c) 125%
d) 60%

2. In a rhombus whose area is 144cm2 one of its diagonals twice as long as the other. What are the length of the diagonals.
a) 6,12cm
b) 8,16cm
c)10,20cm
d) 12,24cm

3. The length of a right triangle sides are in the ratio 1:2 and its area is 36. Find the hypotenuse of the triangle.
a) 6 units
b) 6 units
c) 12 units
d) units

4. If the sides of a triangle are doubled then the area becomes
a) 3 times
b) 4 times
c) 2 times
d) same

5. A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio 6:5. Then the smaller side of the rectangle is
a) 48cm
b) 24cm
c) 60cm
d) 21cm

6. Find the circumference of a circle whose area is 314cm2 (? = 3.14)
a) 62.8cm
b) 32.4cm
c) 6.2cm
d) 12.8cm

7. How much distance a wheel having a diameter of 1.26 m will cover in 500 rounds.
a) 2,120 m
b) 1,981 m
c) 1,680 m
d) 1,980 m