PM Yashasvi 9th Class Maths – Important Bits – Ep-01

 

PM Yashasvi Scholarship Entrance Test (YET) 9th Class Maths Important Bits

1. An integer can be:
A. Only Positive
B. Only Negative
C. Both positive and negative
D. None of the above
Answer: C

2. A rational number can be represented in the form of:
A. p/q
B. pq
C. p+q
D. p-q
Answer: A

3. The value of ½ x ⅗ is equal to:
A. ½
B. 3/10
C. ⅗
D. ⅖
Answer: B

4. The value of (½) ÷ (⅗) is equal to:
A. 3/10
B. ⅗
C. 6/5
D. ⅚
Answer: D

5. The value of ½ + ¼ is equal to:
A. ¾
B. 3/2
C. ⅔
D. 1
Answer: A

6. The value of (5/4) – (8/3) is:
A. 17/12
B. -17/12
C. 12/17
D. -12/17
Answer: B

7. The associative property is applicable to:
A. Addition and subtraction
B. Multiplication and division
C. Addition and Multiplication
D. Subtraction and Division
Answer: C

8. The value of (-10/3) x (-15/2) x (17/19) x 0 is:
A. 0
B. 22.66
C. 20
D. 35
Answer: A

9. The additive identity of rational numbers is:
A. 0
B. 1
C. 2
D. -1
Answer: A

10. The multiplicative identity of rational numbers is:
A. 0 B. 1
C. 2 D. -1
Answer: B

11. What is the sum of ⅔ and 4/9?
A. 6/3           B. 6/9
C. 10/9        D. 10/3
Answer: C.10/9

12. What is the product of 2/9 and ¾?
A. ⅙
B. ⅔
C. 1/9
D. ¼
Answer: A. ⅙

13. What is the reciprocal of 1/9?
A. 9
B. 0
C. 1
D. None of the above
Answer: A. 9

14. What is the value of 100 divided by 0?
A. 0
B. 100
C. 1
D. Undefined
Answer: D. Undefined

15. Which of the following is commutative for rational numbers?
A. Addition and subtraction
B. Addition and multiplication
C. Multiplication and division
D. Subtraction and division
Answer: B. Addition and multiplication

16. Division of rational numbers is associative.
A. True        B. False
Answer: B. False.

17. What is the value of ¾ + ⅚ + 2/7?
A. 10/84
B. 134/84
C. 157/84
D. 167/84
Answer: C. 157/84

18. Find the additive inverse of 11/7?
A. 7/11    B. -7/11
C. 11/7    D.-11/7
Answer: D. -11/7

19. How many rational numbers are there in between ¾ and 1?
A. 0
B. 1
C. 2
D. Countless
Answer: D. Countless

20. What should be subtracted from -⅔ to get -1?
A. ⅓
B. -⅓
C. ⅔
D. -⅔
Answer: A. ⅓

21. Which of the following is not a linear equation in one variable?
A. 33z+5 = 0
B. 33(x+y) = 0
C. 33x+5 = 0
D. 33y+5 = 0
Answer: B

22. The solution of 2x-3=7 is:
A. 5
B. 7
C. 12
D. 11
Answer: A

23. The solution of 2y + 9 = 4 is:
A. 9/2
B. 4/9
C. -⅖
D. -5/2
Answer: D

24. The solution of y/5 = 10 is:
A. 15
B. 10
C. 50
D. 5
Answer: C

25. What should be added to -7/3 to get 3/7?
A. 21/58
B. 58/21
C. 47/21
D. 50/21
Answer: B

26. The perimeter of the rectangle is 20cm. If the length of the rectangle is 6cm, then its breadth will be:
A. 4 cm
B. 6 cm
C. 10 cm
D. 14 cm
Answer: A

27. The age of the father is three times the age of the son. If the age of the son is 15 years old, then the age of the father is:
A. 50 years
B. 55 years
C. 40 years
D. 45 years
Answer: D

28. The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are:
A. 60 and 6
B. 100 and 33
C. 110 and 44
D. 99 and 33
Answer: C

29. Three consecutive integers add up to 51. The integers are:
A. 16,17,18
B. 15,16,17
C. 17,18,19
D. 18,19,20
Answer: A

30. The solution for 3m = 5m – (8/5) is:
A. 8/5
B. ⅘
C. 5/4
D. 4/3
Answer: B

31. The degree of x2 – 5x + 2 = x3 is:
A. 3
B. 2
C. 1
D. 0
Answer: A. 3

32. The degree of equation x2 – 9 = 2×2 is:
A. 0
B. 1
C. 2
D. 3
Answer: C. 2

33. What is the value of x if x + 9 = 12?
A. 2
B. 3
C. 8
D. 6
Answer: B. 3

34. If a number is divided by 8 it gives 6 as the value. Find the number.
A. 36
B. 42
C. 48
D. 56
Answer: C. 48

35. Solve 2x + 9 = 4.
A. X = 6
B. X = -5/2
C. X = -3/2
D. X = -9/2
Answer: B. X = -5/2

36. Find the value of x if 2x + 10 = 76.
A. 33
B. 7.6
C. 66
D. 32
Answer: A. 33

37. The perimeter of a rectangle is 40 cm. If its width is 10 cm, then find the length.
A. 10
B. 20
C. 30
D. 40
Answer: A. 10

38. If x is an even number, then the next even number is:
A. x+1
B. x+2
C. x+3
D. x+4
Answer: B. x+2

39. The difference between the two numbers is 30. If the bigger number is x, then what is the smaller number?
A. x – 30
B. 30 – x
C. 30x
D. None of these
Answer: A. x – 30

40. When a number is added to itself, it becomes 24. What is the number?
A. 2
B. 4
C. 12
D. 21
Answer: C. 12

41. Which of the following is not a quadrilateral?
A. Square
B. Rectangle
C. Triangle
D. Parallelogram
Answer: C

42. Which of the following quadrilaterals has two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?
A. Square
B. Kite
C. Rhombus
D. Rectangle
Answer: B

43. Which one of the following is a regular quadrilateral?
A. Square
B. Trapezium
C. Kite
D. Rectangle
Answer: A

44. If AB and CD are two parallel sides of a parallelogram, then:
A. AB>CD
B. AB<CD
C. AB=CD
D. None of the above
Answer: C

45. The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7 cm is:
A. 21 cm
B. 42 cm
C. 19 cm
D. 38 cm
Answer: D

46. If ∠A and ∠C are two opposite angles of a parallelogram, then:
A. ∠A > ∠C
B. ∠A = ∠C
C. ∠A < ∠C
D. None of the above
Answer: B

47. If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?
A. 70°
B. 90°
C. 110°
D. 180°
Answer: C

48. ABCD is a rectangle and AC & BD are its diagonals. If AC = 10 cm, then BD is:
A. 10 cm
B. 5 cm
C. 15 cm
D. 20 cm
Answer: A

49. Each of the angles of a square is:
A. Acute angle
B. Right angle
C. Obtuse angle
D. 180 degrees
Answer: B

50. The quadrilateral whose diagonals are perpendicular to each other is:
A. Parallelogram
B. Rectangle
C. Trapezium
D. Rhombus
Answer: D

51. Which of the following is not a regular polygon?
A. Square
B. Equilateral triangle
C. Rectangle
D. Regular hexagon
Answer: C. Rectangle

52. If the two angles of a triangle are 80° and 50°, respectively. Find the measure of the third angle.
A. 50°
B. 60°
C. 70°
D. 80°
Answer: A. 50°

53. In a parallelogram ABCD, angle A and angle B are in the ratio 1:2. Find the angle A.
A. 30°
B. 45°
C. 60°
D. 90°
Answer: C.60°

54. The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure?
A. 120°
B. 144°
C. 98°
D. 36°
Answer: B.144°

55. The length and breadth of a rectangle is 4 cm and 2 cm respectively. Find the perimeter of the rectangle.
A. 12 cm
B. 6 cm
C. 8 cm
D. 16 cm
Answer: A. 12 cm

56. The diagonals of a rectangle are 2x + 1 and 3x – 1, respectively. Find the value of x.
A. 1
B. 2
C. 3
D. 4
Answer: B.2

All Competitive Exams IMP Bits

57. The diagonals of a kite:
A. Bisects each other
B. Are perpendicular to each other
C. Does not bisect each other
D. None of the above
Answer: B. Are perpendicular to each other

58. A rhombus has a side length equal to 5 cm. Find its perimeter.
A. 25     B. 10
C. 20     D. 30
Answer: C. 20

59. ABCD is a parallelogram. If angle A is equal to 45°, then find the measure of its adjacent angle.
A. 135° B. 120°
C. 115° D. 180°
Answer: A.135°

60. The kite has exactly two distinct consecutive pairs of sides of equal length.
A. True
B. False
Answer: A. True

61. What is the appropriate condition to construct a quadrilateral?
A. When four sides and one diagonal are given
B. When three sides and one diagonal are given
C. When two sides and one diagonal are given
D. None of the above
Answer: A

62. If two diagonals and three sides are given, then:
A. A quadrilateral cannot be constructed
B. A quadrilateral can be constructed
C. Insufficient information
D. Any polygon can be constructed
Answer: B

63. To construct a quadrilateral, we need to know two adjacent side and _____ angles.
A. One
B. Two
C. Three
D. All four angles
Answer: C

64. To construct a quadrilateral, we need to know two diagonals and _____ sides.
A. One
B. Two
C. Three
D. All four sides
Answer: C

65. To construct a quadrilateral, we need to know three sides and _____ included angles.
A. One
B. Two
C. Three
D. All four angles
Answer: B

66. To construct a square, we need to know:
A. All the interior angles
B. All the side lengths
C. Only one interior angle
D. Only one side length
Answer: D

67. To construct a rectangle, we need to know:
A. All the interior angles
B. All the Sides
C. Only Length and breadth
D. Only one angle measure
Answer: C

68. If two diagonals are given, then we can construct a:
A. Rhombus
B. Rectangle
C. Kite
D. Parallelogram
Answer: A

69. How many measurements are required to construct a quadrilateral, uniquely?
A. Four
B. Five
C. Six
D. Three
Answer: B

70. To construct a parallelogram we need to know:
A. Length of its parallel sides
B. Measure of interior angles
C. Two adjacent sides and one angle
D. Two adjacent sides and two angles
Answer: C

71. A polygon that has a minimum number of sides is:
A. Triangle
B. Square
C. Rectangle
D. Angle
Answer: A.

72. If n is the number of sides, then the number of diagonals of a polygon is:
A. n/2             B. n/3
C. n(n-3)/2     D. n(n-3)/3
Answer: C. n(n-3)/2

73. The sum of all the interior angles of a hexagon is:
A. 720°    B. 540°
C. 360°    D. 180°
Answer: A. 720°

74. If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon.
A. Quadrilateral
B. Pentagon
C. Hexagon
D. Septagon
Answer: B. Pentagon

75. ______ measurements can determine a quadrilateral uniquely.
A. Three
B. Four
C. Five
D. Six
Answer: C. Five

76. The sum of exterior angles of a polygon is equal to:
A. 180°
B. 360°
C. 540°
D. 720°
Answer: B. 360°

77. All the sides of a regular polygon are:
A. Equal in length
B. Unequal in length
C. Parallel to each other
D. None of these
Answer: A. Equal in length

78. If a polygon has 8 sides, then the number of diagonals it has is:
A. 8
B. 16
C. 20
D. 24
Answer: C. 20

79. Can we draw a square with a side length equal to 7cm?
A. Yes
B. No
C. Cannot be determined
D. None of the above
Answer: A. Yes

80. If a quadrilateral constructed has two distinct consecutive sides equal in length, then it is a:
A. Rhombus
B. Kite
C. Parallelogram
D. Rectangle
Answer: B. Kite

81. Pictorial representation of data using symbols is known as:
A. Bar graph
B. Pictograph
C. Pie chart
D. None of these
Answer: B

82. Double bar graphs display ______ sets of data simultaneously.
A. Four
B. Three
C. Two
D. No
Answer: C

83. _________ gives the number of times a particular entry occurs.
A. Organisation of data
B. Collection of Data
C. Representation of Data
D. Frequency distribution table
Answer: D

84. In the grouped data, each of the group is called:
A. Class interval
B. Collection of data
C. Frequency
D. Grouped frequency distribution
Answer: A

85. If 20-30 is the class interval of grouped data, then the lower class limit is:
A. 50
B. 30
C. 20
D. 10
Answer: C

86. The difference between the upper-class limit and lower class limit of a class interval is called:
A. Frequency
B. Width
C. Grouped data
D. Ungrouped data
Answer: B

87. The width or size of the class interval 30-40 is:
A. 10
B. 30
C. 40
D. 70
Answer: A

88. If a coin is flipped in the air, what is the probability of getting a tail?
A. 0
B. ½
C. 1
D. 2
Answer: B

89. A bag has 4 red balls and 4 green balls, what is the probability of getting a red ball randomly?
A. 1/4
B. 1/8
C. 1/2
D. 0
Answer: C

90. If a die is thrown in the air, the probability of getting even numbers is:
A. ½
B. ⅙
C. ⅓
D. ⅔
Answer: A

91. Which of the following is a perfect square?
A. 1057
B. 625
C. 7928
D. 64000
Answer: B

92. Which of the following will have 6 at unit place?
A. 192
B. 112
C. 242
D. 132
Answer: C

93. If 5278 is squared, then what will be at unit place?
A. 8
B. 7
C. 6
D. 4
Answer: D

94. What will be the number of zeros in square of 400?
A. 2
B. 3
C. 4
D. 6
Answer: C

95. How many natural numbers lie between 92 and 102?
A. 17
B. 18
C. 19
D. 20
Answer: B

96. What is the sum of the first four odd natural numbers?
A. 16
B. 17
C. 18
D. 20
Answer: A

97. The value of 92 – 1 is equal to:
A. 81
B. 80
C. 79
D. None of the above
Answer: B

98. The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:
A. 121        B. 120
C. 100       D. 110
Answer: C

99. The square of 42 is:
A. 1764     B. 1664
C. 1564     D. 1504
Answer: A

100. The Pythagorean triple whose smallest number is 8:
A. 8, 16 17
B. 8, 17, 18
C. 8, 15, 17
D. 8, 15, 16
Answer: C

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