# (Paper) Objective Mathematics Model Question Papers for Competitive Examinations

**Paper : Objective Mathematics Model Question
Papers for Competitive Examinations**

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