Maths Sample Questions objective Test Free Online Model Paper

Maths Sample Questions objective Test Free Online Model Paper
Online problems, questions and self tests on Maths Topics Like Algebra Geometry
Mathematics? free sample question paper
1. If a(a — 1) = 6 then the value of (a — 6/a) is
(a) 2
(b) 0
(c) 1
(d) —1
Ans. (c)

2. If p = 3 + 1/p then the value of p/(p2 + p - 1) is
(a) 7/4
(b) 5/4
(c) 3/4
(d) 1/4
Ans. (d)

3. If x + 1/x = 3 then the value of x/(1+x+x2) is
(a) 5/4
(b) 1/4
(c) 1/3
(d) ¾
Ans. (b)


4. The value of a[(a/a + b) + (b/a-b)] / [(a/a-b) – (a—b)] on simplifying is
(a) 2
(b) —1
(c) I
(d) 0
Ans. (c)

5. If ax + by = 3, bx — ay = 4 and x2 + y2 = l then the value of a2 + b2 is
(a) 25
(b) 26
(c) 27
(d) 28
Ans. (a)

6. The number of pieces of 4 cm2 can be cut from a rectangular piece of dimensions 9 dm by 7dm are
(a) 1574
(b) 1575
(c) 1580
(d) 1585
Ans. (b)

7. The area of the square drawn on the diagonal of a square of side 3 cm is
(a) 21 cm2
(b) 20 cm2
(c) 19 cm2
(d) 18 cm2
Ans. (d)

8. The perimeter of a rhombus is 40 cm and the length of one of its diagonals is 12 cm then the area of the rhombus is
(a) 95 cm2
(b) 96 cm2
(c) 97 cm2
(d) 98 cm2
Ans. (b)

9. The diagonals of a rhombus are in the ratio 2: 3 and the area is 27 cm2 then the lengths of the diagonals of a rhombus is
(a) 6 cm, 9 cm
(b) 7 cm, 8 cm
(c) 8 cm, 9 cm
(d) 7 cm, 6 cm
Ans. (a)

10. The lengths of the sides of a triangle are 9 cm, 12 cm and 15 cm then the length of the median to the longest side is
(a) 7.2 cm
(b) 7.3 cm
(c) 7.4 cm
(d) 7.5 cm
Ans. (d)

11. The supplement of the complement of the one third of a right angle is
(a) 110°
(b) 120°
(c) 130°
(d) 140°
Ans. (c)

12. The sides of a triangle are in the ratio 3 : 4: 5 then the measure of the greatest angle is
(a) 70°
(b) 80°
(c) 90°
(d) 100°
Ans. (c)

13. The ratio of two numbers is 4:5 and their LCM is 60 then their HCF is
(a) 1
(b) 3
(c) 4
(d) 2
Ans. (b)

14. A train travels at a speed of 30 km per hour for 12 minutes and then for the next 8 minutes at a speed of 45 km per hour then the average speed for the journey is
(a) 36 km/hr
(b) 37 km/hr
(c) 38km/hr
(d) 401cm/hr
Ans. (a)
15. A man can row 16 km downstream in one hour but upstream he takes twice the time then the speed of the current is
(a) 8km/h
(b) 12 km/h
(c) 4 km/h
(d) 2km/h
Ans. (c)


16. A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days then that numbers of days taken by A, B and C together to finish the work are
(a) 10 days
(b) 12 days
(c) 14 days
(d) 15 days
Ans. (a)

17. ABCD is a cyclic quadrilateral, if AB II CD, AD = 5 cm then the length of BC is
(a) 3cm
(b) 4cm
(c) 5cm
(d) 6cm
Ans. (c)

18. The centers of two circles with radii 8 cm and 3 cm are 13 cm apart. A direct common tangent touches the circle at A and B respectively then the length of AB is
(a) 8 cm
(b) 10 cm
(c) 12 cm
(d) 14 cm
Ans. (c)


19. An exterior angle of a regular polygon is 12° the sum of all the interior angles is
(a) 4040°
(b) 5040°
(c) 6040°
(d) 7040°
Ans. (b)

20. In a circle of diameter 10cm, the length of each of 2 equal and parallel chords is 8 cm, then the distance between these two chords is
(a) 4cm
(b) 5cm
(c) 6cm
(d) 7cm
Ans. (c)

21. If a2 + ab+ b2 = 19, a4 + a2b2+ b4= 133 then the value of ab is
(a) 6
(b) 7
(c) 8
(d) 9
Ans. (a)

22. If q = 999, then the value of q (q2 + 3q + 3) is
(a) 999999
(b) 99999
(c) 999999999
(d) None of these
Ans. (c)


23. The product of two numbers is 0.008 and one is 1/5 of the other, then the smaller number is
(a) 0.002
(b) 0.004
(c) 0.2
(d) 0.04
Ans. (d)

24. The greatest number which can divide 309, 814 and 2219 leaving the remainders 3, 4
and 5 respectively is
(a) 16
(b) 17
(c) 18
(d) 19
Ans. (c)

25. The average age of two brothers is 9 years. It is increased by 9 years when their mother’s age is also included then the age of mother is
(a) 35 years
(b) 36 years
(c) 37 years
(d) 38 years
Ans. (b)

26. The diameter is
(a) Smallest chord of a circle
(b) Greatest chord of a circle
(c) Three times the radius of a circle
(d) None of these
Ans. (b)

27. Two chords of a circle bisect each other. Then they must be
(a) Diameters
(b) Tangents
(c) Secants parallel to each other
(d) None of these
Ans. (a)

28. In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. Then ABCD is a
(a) Square
(b) Parallelogram
(c) Rhombus
(d) Trapezium
Ans. (a)

29. The quadrilateral formed by joining the midpoints of the sides of a quadrilateral PQRS, taken in order, is a rectangle if
(a) PQRS is a rectangle
(b) PQRS is a parallelogram
(c) Diagonals of PQRS are perpendicular
(d) Diagonals of PQRS are equal

Ans. (c)

30. If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3: 7: 6: 4 then PQRS is a
(a) Rhombus
(b) Parallelogram
(c) Trapezium
(d) Kite
Ans. (c)

31. The ratio of x% of y to y% of x is equal to
(a) 1/xy
(b) xy
(c) x/y
(d) 1
Ans. (d)

32. If three-fourth part of a post is under water, then what percent is above water?
(a) 25%
(b) 30%
(c) 40%
(d) 50%
Ans. (a)

33. A rectangular field has its length and breadth in the ratio 5: 3. Its area is 3.75 hectares. The cost of fending it at Rs 5 per meter is
(a) Rs 400
(b) Rs 4000
(c) Rs 1000
(d) Rs 500
Ans. (b)

34. A man’s salary is reduced by 10%. In order to have his salary back to the original amount, it must be raised by
(a) 8%
(b) 10%
(c) 100/9 %
(d) 87/7 %
Ans. (c)

35. In an examination, 34% of the candidates fail in Arithmetic and 42% in English. If 20% fail in Arithmetic and English, the percentage of the passing in both subjects is
(a) 44
(b) 45
(c) 46
(d) 47
Ans. (a)

36. A candidate gets 71% of votes and wins the election by 756 votes. If there are two candidates then the total number of votes is
(a) 1,800
(b) 1,850
(c) 1,860
(d) 1,890
Ans. (a)

37. The population of small town is increased by 15/2% per annum for two years. If the present population is 73960, then two years before the population was
(a) 6,000
(b) 70,000
(c) 4,000
(d) 60,000
Ans. (c)


38. By selling a suitcase for Rs 570, a man loses 5%.At what price must he sell it to gain 5%?
(a) Rs 630
(b) Rs 650
(c) Rs 580
(d) Rs 620
Ans. (b)

39. A man deposited Rs 8,000 in a bank for 3 years at 5% per annum compound interest. After 3 years he will get
(a) Rs 8,800
(b) Rs 9,000
(c) Rs 9,200
(d) Rs 9,261
Ans. (d)


40. The list price of a parker pen is Rs 160 and a customer buys it for Rs 122.40 after two successive discounts. If first is 10% then the second is
(a) 18%
(b) 17%
(c) 16%
(d) 15%
Ans. (d)

41. The compound interest for a certain sum at 5% per annum for first year is 25. The simple interest for the same money at 5% for two years will be rupees
(a) 40
(b) 50
(c) 60
(d) 70
Ans. (b)



42. A sum of money at compound interest is doubled in 20 years. Then the number of years required to treble the sum will be
(a) 32 yrs
(b) 35 yrs
(c) 40 yrs
(d) 45 yrs
Ans. (a)
43. If three numbers are in the ratio 3: 2 5 and they are such that the sum of their squares is equal to 1,862, the middle one is
(a) 11
(b) 12
(c) 13
(d) 14
Ans. (d)

44. The speed of a boat in still water is 10 km/hour. If it can travel 26 km downstream and 14 km upstream at the same time, the speed of the stream is
(a) 4 km/hour
(b) 4.5 km/hour
(c) 5 km/hour
(d) 3 km/hour
Ans. (d)



45. If selling price of 16 items same as the cost price of 20 items, then there is a
(a) Loss of 20%,
(b) Loss of 25%
(c) Gain of 20%
(d) Gain of 25%
Ans. (d)

46. A person borrowed Rs 5,500 from a money lender at the rate of 24% per annum simple interest. He lent this amount to his friend at the rate of 36% per annum simple interest. After two years he collected the amount due to the money lender. The amount he thus earned is
(a) Rs 1,250
(b) Rs 1,300
(c) Rs 1,320
(d) Rs 1,350
Ans. (c)

47. The current population of a town is 10,000. If the population increases by 10% every year, then the population of the town after three years will be
(a) Rs 13,310
(b) Rs 13,500
(c) Rs 14,000
(d) Rs 14,500
Ans. (a)


48. A boy takes 20 minutes to reach the school at an average speed of 12 Km/hour. If he wants to reach the school in 15 minutes, his average speed (in km/hour) will be
(a) 16
(b) 17
(c) 18
(d) 19
Ans. (a)


49. A number is increased by 10% and then reduced by 10%, then the number
(a) Doesn’t change
(b) Decreases by 1%
(c) Increases by 1%
(d) None of these
Ans. (b)

50. A boy is given rich diet and gains 15% in weight. He is then put on a poor diet and loses 20% in weight. On the whole the boy will
(a) Lose 5% weight
(b) Lose 8% weight
(c) Lose 10% weight
(d) Remain the same
Ans. (b)