NUMERICAL ANALYTICS: SIMPLIFICATIONS QUIZ 1

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MATH SIMPLIFICATIONS

SIMPLIFICATION SKILLS TEST – NUMERICAL ANALYTICS QUIZ 1

1 / 132

1. Solve:

a. 98

b. 97

c. 96

d. 95

2 / 132

2. Simplify:

a. 21

b. 23

c. 22

d. 24

3 / 132

3. EVALUATE:
[(3×5)²−(6×4)]÷3

a. 67

b. 65

c. 66

d. 68

EXPLANATION:
3×5=15, 15²=225, 6×4=24, 225−24=201, 201÷3=67

4 / 132

4. SIMPLIFY: 144÷12+5×3

a. 29

b. 27

c. 32

d. 33

EXPLANATION:
144÷12=12, 5×3=15, 12+15=27

5 / 132

5. Find the value of:

a. 217

b. 218

c. 216

d. 219

6 / 132

6. SIMPLIFY:
(72/8 + 3)²−5 × 6

a. 110

b. 124

c. 114

d. 120

72÷8=9, 9+3=12, 12²=144, 144−30=114

7 / 132

7. Solve:

a. 20

b. 19

c. 18

d. 21

8 / 132

8. SIMPLIFY:

a. 24

b. 28

c. 30

d. 26

9 / 132

9. EVALUATE: 81÷ (3²) + 4

a. 11

b. 12

c. 14

d. 13

EXPLANATION:
3²=9, 81÷9=9, 9+4=13

10 / 132

10. SOLVE: (36÷3) + (5×2) −4

a. 18

b. 20

c. 16

d. 14

EXPLANATION:
36÷3=12, 5×2=10, 12+10=22, 22−4=18

11 / 132

11. EVALUATE:
6²+4×(15−3)²÷6

a. 140

b. 128

c. 132

d. 136

EXPLANATION:
6²=36, 15−3=12, 12²=144, 144÷6=24, 4×24=96, 96+36=132

12 / 132

12. SOLVE:

a. 15.8

b. 15.6

c. 17

d. 16

13 / 132

13. FIND THE VALUE: (12×5) − (6÷2)

a. 58

b. 60

c. 54

d. 57

EXPLANATION:
12×5=60, 6÷2=3, 60−3=57

14 / 132

14. EVALUATE:
{[5²−(6+4)]÷3}×2

a. 16

b. 12

c. 10

d. 14

EXPLANATION:
5²=25, 6+4=10, 25−10=15, 15÷3=5, 5×2=10

15 / 132

15. Find: 20 + 5²−3 × 4

a. 27

b. 18

c. 25

d. 33

EXPLANATION:
5²=25, 3×4=12, 20+25−12=33

16 / 132

16. What is the result of $2$ ?

a. 2.25

b. 1.25

c. 2.0

d. 1.75

17 / 132

17. SOLVE:

a. 15.25

b. 16.25

c. 18.25

d. 17.25

18 / 132

18. Evaluate:

a. 137

b. 135

c. 136

d. 138

19 / 132

19. SIMPLIFY: 72− [24÷(4×2)]

a. 70

b. 69

c. 78

d. 71

EXPLANATION:
4×2=8, 24÷8=3, 72−3=69

20 / 132

20. SIMPLYFY:

a. 20

b. 21

c. 23

d. 22

EXPLANATION:
6²=36, 2³=8→44÷4=11, 5 × 2 = 10

11+10=21

21 / 132

21. EVALUATE:

a. 324

b. 400

c. 361

d. 484

EXPLANATION:
5²=25→25−1=24→24÷2=12

12+6=18, 18²=324

22 / 132

22. WHAT IS THE VALUE OF: (28÷2+6) × 2

a. 40

b. 42

c. 44

d. 46

EXPLANATION:
28÷2=14, 14+6=20, 20×2=40

23 / 132

23. WHAT IS THE VALUE OF 45+63÷9×2?

a. 61

b. 24

c. 67

d. 59

EXPLANATION:
FIRST SOLVE INSIDE OUT: 63÷9=7, THEN 7×2=14, THEN 45+14=59

24 / 132

24. Simplify:

a. 265

b. 250

c. 255

d. 260

25 / 132

25. SIMPLIFY:

a. 66

b. 84

c. 82

d. 88

26 / 132

26. FIND TH VALUE OF:

a. 121

b. 144

c. 169

d. 100

EXPLANATION:
3²=9, 36÷9=4, 6+4=10, 10²=100

27 / 132

27. Evaluate:

a. 251

b. 249

c. 250

d. 248

28 / 132

28.

a. 24

b. 28

c. 25

d. 26

EXPLANATION:
10²=100, 100−36=64, 64÷4=16, 2³=8, 16+8=24

29 / 132

29. EVALUATE
120÷(4+2)+4²

a. 34

b. 36

c. 32

d. 40

EXPLANATION:
4+2=6, 120÷6=20, 4²=16, 20+16=36

30 / 132

30. Simplify:

a. 243

b. 240

c. 241

d. 242

31 / 132

31. SIMPLIFY:

a. 100

b. 81

c. 49

d. 64

32 / 132

32. Simplify:

a. 60

b. 50

c. 40

d. 70

33 / 132

33. Simplify:

a. 9.7

b. 9.6

c. 9.5

d. 9.4

34 / 132

34. Evaluate:

a. 108

b. 110

c. 106

d. 112

35 / 132

35. WHAT IS THE VALUE OF 60 ÷ 5 + 6 × 3?

a. 30

b. 36

c. 27

d. 33

EXPLANATION:
60÷5=12, 6×3=18, 12+18=30

36 / 132

36.

a. 12

b. 0

c. 10

d. 8

EXPLANATION:
9²=81, 81−81=0, 0÷3=0, 0+8=8

37 / 132

37. Evaluate:

a. 238

b. 236

c. 234

d. 232

38 / 132

38. SIMPLIFY:
100−{(2+3)²+[8÷4]}

a. 74

b. 75

c. 72

d. 73

EXPLANATION:
2+3=5, 5²=25, 8÷4=2, 25+2=27, 100−27=73

39 / 132

39. FIND THE RESULT OF 64÷4+3²−5

a. 18

b. 20

c. 19

d. 21

EXPLANATION:
64÷4=16, 3²=9, 16+9=25, 25−5=20

40 / 132

40. SIMPLIFY: (50+10÷2) × 2

a. 100

b. 120

c. 130

d. 110

EXPLANATION:
10÷2=5, 50+5=55, 55×2=110

41 / 132

41.

a. 14

b. 15

c. 16

d. 13

EXPLANATION:
4+6=10→10²=100,
8²=64→100−64=36
2²=4→36÷4=9,
9+5=14
Answer: 14

42 / 132

42. SIMPLIFY:

a. 217

b. 218

c. 216

d. 215

EXPLANATION:
36÷6=6→9+6=15→15²=225

225−10=215

43 / 132

43.

a. 289

b. 300

c. 361

d. 324

EXPLANATION:
3×2=6, 72÷6=11, 12+5=17, 17²=289

44 / 132

44. EVALUATE:

a. 17

b. 14

c. 16

d. 15

45 / 132

45. Which operation should be performed first in this expression: 6 + 4 × (3 − 1)?

a. 3-1

b. 6+4

c. ALL AT ONCE

d. 4X2

Explanation: According to BODMAS, solve brackets first.

46 / 132

46. Evaluate:

a. 11.5

b. 10

c. 12

d. 13

47 / 132

47. SIMPLIFY: (5+3)²÷4

a. 18

b. 20

c. 16

d. 15

EXPLANATION:
5+3=8, 8²=64, 64÷4=16

48 / 132

48. Evaluate:

a. 150

b. 160

c. 170

d. 180

49 / 132

49. SIMPLIFY:

a. 18

b. 15

c. 17

d. 16

50 / 132

50. SIMPLIFY: (45÷5) + (6×3)

a. 27

b. 30

c. 28

d. 29

EXPLANATION:
45÷5=9, 6×3=18, 9+18=27

51 / 132

51. Simplify:

a. 16

b. 18

c. 20

d. 22

Explanation:
, ,

52 / 132

52. Solve:

a. 38

b. 39

c. 36

d. 37

53 / 132

53. EVALUATE:{60−[(4+2)×5]}÷5

a. 8

b. 7

c. 5

d. 6

EXPLANATION:-

4+2=6→6×5=30→60−30=30→30÷5=6

54 / 132

54. FIND THE RESULT OF: 100−[25×(2+2)]

a. 50

b. 0

c. 25

d. 75

EXPLANATION:
2+2=4, 25×4=100, 100−100=0

55 / 132

55.

a. 50

b. 46

c. 48

d. 52

EXPLANATION:
18÷3=6, 2+6=8, 8²=64, 4²=16, 64−16=48

56 / 132

56. Solve:

a. 6

b. 4

c. 8

d. 10

57 / 132

57. EVALUATE:

a. 34

b. 33

c. 35

d. 32

58 / 132

58. WHAT IS THE RESULT OF:
(3²+5²)×(10÷5)

a. 76

b. 68

c. 80

d. 72

EXPLANATION:
3²=9, 5²=25, 9+25=34, 10÷5=2, 34×2=68

59 / 132

59. EVALUATE: 9 × (6−2) + 5

a. 39

b. 41

c. 37

d. 45

EXPLANATION:
6−2=4, 9×4=36, 36+5=41

60 / 132

60. EVALUATE:

a. 34

b. 36

c. 37

d. 35

61 / 132

61. EVALUATE: 100− [8 × (2+5)]

a. 56

b. 60

c. 50

d. 44

EXPLANATION:
2+5=7, 8×7=56, 100−56=44

62 / 132

62. Evaluate:

a. 51

b. 50

c. 49

d. 48

63 / 132

63. SIMPLIFY:
[(30÷5)+(2³)]×3

a. 42

b. 40

c. 44

d. 39

EXPLANATION:
30÷5=6, 2³=8, 6+8=14, 14×3=42

64 / 132

64. EVALUATE:- (18÷3+4)²−9

a. 91

b. 92

c. 90

d. 93

EXPLANATION:
18÷3=6→6+4=10→10²=100→100−9=91

65 / 132

65. SIMPLIFY:

a. 38

b. 39

c. 40

d. 37

66 / 132

66. SOLVE:

a. 22

b. 18

c. 16

d. 20

EXPLANATION:
81+27=108→108÷6=18,
2²=4→18+4=22

Final Answer: 22

67 / 132

67. EVALUATE:
[7²−(3×5)]×(6÷2)

a. 102

b. 105

c. 84

d. 96

EXPLANATION:
7²=49, 3×5=15, 49−15=34, 6÷2=3, 34×3=102

68 / 132

68. EVALUATE:
2³+3²×(4+2)

a. 62

b. 64

c. 60

d. 66

EXPLANATION:
2³=8, 3²=9, 4+2=6, 9×6=54, 8+54=62

69 / 132

69. FIND THE VALUE: 5²+3×4

a. 33

b. 31

c. 37

d. 29

EXPLANATION:
5²=25, 3×4=12, 25+12=37

70 / 132

70. SIMPLIFY:

a. 64

b. 62

c. 58

d. 60

71 / 132

71. What is the value of: 12 + 5 × 2 − 4 ÷ 2?

a. 19

b. 17

c. 18

d. 20

Table of Contents
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Step-by-step:
✅ Final Answer: 20

Step-by-step:

Multiplication and Division first:

5 × 2 = 10,\quad 4 ÷ 2 = 2 ]

Replace in the expression:

12 + 10 − 2 ]

Now do Addition and Subtraction:

12 + 10 = 22,\quad 22 − 2 = 20 ]

✅ Final Answer:

72 / 132

72. EVALUATE: [(3²+4²) − (5²−6)] × 2

a. 16

b. 10

c. 14

d. 12

EXPLANATION:
3²=9,4²=16→9+16=25

5²=25→25−6=19

25−19=6×2=12

FINAL: 12

73 / 132

73. EVALUATE: (10+6)²−4×3?

a. 252

b. 240

c. 238

d. 244

EXPLANATION:
10+6=16, 16²=256, 4×3=12, 256−12=244

74 / 132

74. SOLVE: (30÷3) + (5²)

a. 33

b. 36

c. 34

d. 35

EXPLANATION:
30÷3=10, 5²=25, 10+25=35

75 / 132

75. SOLVE: 3 + 6 × (5 + 4)

a. 57

b. 63

c. 45

d. 54

EXPLANATION:
5+4=9, 6×9=54, 3+54=57

76 / 132

76. WHAT IS THE RESULT OF (25+5) ÷ 3 + 4²?

a. 26

b. 21

c. 22

d. 20

EXPLANATION:
25+5=30, 30÷3=10, 4²=16, 10+16=26

77 / 132

77. SOLVE: 144 ÷ (12−6)

a. 24

b. 36

c. 18

d. 12

EXPLANATION:
12−6=6, 144÷6=24

78 / 132

78. EVALUATE: (18÷2+3)²

a. 121

b. 144

c. 100

d. 81

EXPLANATION:
18÷2=9, 9+3=12, 12²=144

79 / 132

79. EVALUATE: 72÷6+3³

a. 45

b. 39

c. 42

d. 36

EXPLANATION:
72÷6=12, 3³=27, 12+27=39

80 / 132

80. WHAT IS THE SIMPLIFIED VALUE OF 120 ÷ 2 + 18 × 2?

a. 78

b. 66

c. 96

d. 84

EXPLANATION:
120÷2=60, 18 × 2 = 36, 60+36=96

81 / 132

81. Simplify:

a. 8.5

b. 8.4

c. 8.6

d. 8.7

82 / 132

82. SIMPLIFY:
(18+12÷4)²−3³

a. 418

b. 420

c. 414

d. 410

EXPLANATION:
12÷4=3, 18+3=21, 21²=441, 3³=27, 441−27=414

83 / 132

83. EVALUATE: (18÷3)²

a. 49

b. 36

c. 16

d. 25

EXPLANATION:
18÷3=6, 6²=36

84 / 132

84. SIMPLIFY: [(8×3)²÷4]−10

a. 132

b. 134

c. 136

d. 128

EXPLANATION:
8×3=24→24²=576→576÷4=144→144−10=134

85 / 132

85. SIMPLIFY:

a. 20

b. 18

c. 21

d. 19

86 / 132

86. Find the value of:

a. -41

b. -43

c. -42

d. -44

87 / 132

87. SOLVE:

a. 31

b. 32

c. 33

d. 30

EXPLANATION:
6+3=9→8×9=72→72÷3=24

24+7=31

88 / 132

88. Simplify:

a. 31/20

b. 29/20

c. 26/20

d. 23/20

LCM of 4 and 5 is 20 →

89 / 132

89. Simplify:

a. 68

b. 60

c. 64

d. 72

90 / 132

90. SOLVE:

a. 95

b. 96

c. 99

d. 98

91 / 132

91. Simplify:

a. 180

b. 184

c. 182

d. 188

92 / 132

92. SIMPLIFY:
{100−[8×(3+2)]}÷2

a. 40

b. 60

c. 30

d. 50

EXPLANATION:
3+2=5, 8×5=40, 100−40=60, 60÷2=30

93 / 132

93. SIMPLIFY:
125÷(5+5)+3²×2

a. 27.5

b. 30.5

c. 28.5

d. 25.5

EXPLANATION:
5+5=10, 125÷10=12.5, 3²=9, 9×2=18, 12.5+18=30.5

94 / 132

94. What is 25% of 240?

a. 60

b. 20

c. 40

d. 50

Explanation:

95 / 132

95. Which is the smallest?

a. 0.05

b. 0.5

c. 0.0005

d. 0.005

96 / 132

96. FIND THE VALUE: 5 × 4 + 3²

a. 28

b. 27

c. 29

d. 31

EXPLANATION:
5×4=20, 3²=9, 20 + 9 = 29

97 / 132

97. Simplify:

a. 40.15

b. 39.25

c. 36.65

d. 38.75

98 / 132

98. SIMPLIFY: 6²− (4×3) + 5

a. 32

b. 31

c. 29

d. 30

EXPLANATION:
6²=36, 4×3=12, 36−12=24, 24+5=29

99 / 132

99. SIMPLIFY:

a. 20

b. 25

c. 15

d. 30

EXPLANATION:

96÷4=24→4²=16→24+16=40→40÷2=20

Answer: 20

100 / 132

100. SIMPLIFY:

a. 20

b. 16

c. 22

d. 18

EXPLANATION:
4³=64, 64+16=80, 2²=4, 80÷4=20

101 / 132

101. EVALUATE: 7 + (6²−12) ÷ 2

a. 20

b. 22

c. 21

d. 19

EXPLANATION:
6²=36, 36−12=24, 24÷2=12, 7+12=19

102 / 132

102. WHAT IS THE SIMPLIFIED VALUE OF 100 ÷ [ 25−(10+5) ] ?

a. 50

b. 20

c. 25

d. 10

EXPLANATION:
10+5=15, 25−15=10, 100÷10=10

103 / 132

103. EVALUATE: 7 + (6²−10) ÷ 4

a. 13.5

b. 17

c. 20

d. 21

EXPLANATION:
6²=36, 36−10=26, 26÷4=6.5, 7+6.5=13.50

104 / 132

104. Solve:

a. 30

b. 50

c. 40

d. 60

Explanation:

105 / 132

105. EVALUATE:
[4²×(18÷3)]−10

a. 90

b. 86

c. 84

d. 88

EXPLANATION:
4²=16, 18÷3=6, 16×6=96, 96−10=86

106 / 132

106. SIMPLIFY:

a. 43.5

b. 42.5

c. 41.5

d. 40.5

107 / 132

107. EVALUATE: {[(25÷5)²]−(2³+1)}×3

a. 42

b. 46

c. 48

d. 40

EXPLANATION:
25÷5=5→5²=25,
2³=8→8+1=9→25−9=16,
16×3=48

108 / 132

108. FIND THE VALUE OF:
(25+5²)÷(2+3)

a. 10

b. 11

c. 13

d. 12

EXPLANATION:
5²=25, 25+25=50, 2+3=5, 50÷5=10

109 / 132

109. SIMPLIFY:

a. 8.6

b. 1.9

c. 3.5

d. 2.6

EXPLANATION:
3³=27,2⁴=16→27+16=43,
5²=25→25−20=5
43÷5=8.6

110 / 132

110. SIMPLIFY: (7²−4²) ÷ 3

a. 11

b. 15

c. 13

d. 9

EXPLANATION:
7²=49, 4²=16, 49 - 16 = 33, 33 ÷ 3 = 11

111 / 132

111. SIMPLIFY: (15+5)²÷ 10

a. 50

b. 20

c. 30

d. 40

EXPLANATION:
15+5=20, 20²=400, 400÷10=40

112 / 132

112. FIND THE VALUE OF: 64 ÷ (4×2) + 3

a. 16

b. 7

c. 11

d. 8

EXPLANATION:
4×2=8, 64÷8=8, 8 + 3 = 11

113 / 132

113. SIMPLIFY: (3²+4²) × 2

a. 50

b. 74

c. 98

d. 58

EXPLANATION:
3²=9,4²=16,9+16=25, 25×2=50

114 / 132

114. WHAT IS THE VALUE OF (100−40)÷10+2³?

a. 14

b. 12

c. 11

d. 13

Explanation:
100−40=60, 60÷10=6, 2³=8, 6+8=14

115 / 132

115. EVALUATE: 48 ÷ 4 + 9 −5

a. 16

b. 14

c. 15

d. 12

EXPLANATION:
48÷4=12, 12+9=21, 21−5=16

116 / 132

116. WHAT IS THE RESULT OF 100 − (6²+4²)?

a. 52

b. 54

c. 50

d. 48

EXPLANATION:
6²=36, 4²=16, 36+16=52, 100−52=48

117 / 132

117. FIND THE VALUE: 8 × 4 − 6 + 2

a. 32

b. 34

c. 28

d. 30

EXPLANATION:
8×4=32, 32−6=26,, 26+2=28

118 / 132

118. FIND THE RESULT OF: 81 ÷ 3 ÷ 3

a. 1

b. 3

c. 27

d. 9

EXPLANATION:
LEFT TO RIGHT: 81÷3=27, 27÷3=9

119 / 132

119. Simplify:

a. 8/15

b. 5/6

c. 3/10

d. 10/12

Explanation: Keep–Change–Flip →

120 / 132

120. WHAT IS THE VALUE OF (30÷5)³?

a. 36

b. 18

c. 64

d. 216

EXPLANATION:
30÷5=6, 6³=216

121 / 132

121. SOLVE: (20+10) ÷ 5 + 8

a. 14

b. 11

c. 10

d. 12

EXPLANATION:
20+10=30, 30÷5=6, 6+8=14

122 / 132

122. Solve:

a. 2450

b. 2500

c. 2596

d. 2400

123 / 132

123. SIMPLIFY: (50−20) ÷ 5 + 6

a. 14

b. 12

c. 10

d. 15

EXPLANATION:
50−20=30, 30÷5=6, 6+6=12

124 / 132

124. Evaluate:

a. 190

b. 189

c. 192

d. 191

125 / 132

125. Simplify: (8+2)²−4 × 5

a. 100

b. 80

c. 96

d. 110

Explanation: (10)²−20=100−20=80

126 / 132

126. Evaluate:

a. 240

b. 270

c. 250

d. 260

127 / 132

127. Find the value of:

a. 68

b. 70

c. 72

d. 71

128 / 132

128. Solve:

a. 42

b. 40

c. 41

d. 43

129 / 132

129. Simplify:

a. 59

b. 58

c. 57

d. 60

130 / 132

130. SOLVE:

a. 147

b. 148

c. 145

d. 146

131 / 132

131. SIMPLIFY:

a. 10

b. 14

c. 16

d. 12

132 / 132

132. SOLVE: 10+4²÷2

a. 18

b. 12

c. 16

d. 14

EXPLANATION:
4²=16, 16÷2=8, 10+8=18

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