NUMERICAL ANALYTICS: SIMPLIFICATIONS QUIZ 1

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MATH SIMPLIFICATIONS

SIMPLIFICATION SKILLS TEST – NUMERICAL ANALYTICS QUIZ 1

1 / 132

1. EVALUATE:
[(3×5)²−(6×4)]÷3

a. 67

b. 68

c. 66

d. 65

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

2 / 132

2. Solve:

a. 2500

b. 2450

c. 2596

d. 2400

3 / 132

3. SIMPLIFY:

a. 100

b. 64

c. 81

d. 49

4 / 132

4. SIMPLIFY: 6²− (4×3) + 5

a. 29

b. 32

c. 31

d. 30

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

5 / 132

5. SIMPLIFY:
125÷(5+5)+3²×2

a. 25.5

b. 28.5

c. 27.5

d. 30.5

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

6 / 132

6. Evaluate:

a. 234

b. 232

c. 236

d. 238

7 / 132

7. Simplify:

a. 29/20

b. 31/20

c. 23/20

d. 26/20

LCM of 4 and 5 is 20 →

8 / 132

8. SOLVE:

a. 17.25

b. 15.25

c. 16.25

d. 18.25

9 / 132

9. Simplify:

a. 70

b. 60

c. 50

d. 40

10 / 132

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

a. 36

b. 33

c. 27

d. 30

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

11 / 132

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

a. 4X2

b. 3-1

c. 6+4

d. ALL AT ONCE

Explanation: According to BODMAS, solve brackets first.

12 / 132

12.

a. 25

b. 26

c. 24

d. 28

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

13 / 132

13. Evaluate:

a. 240

b. 250

c. 270

d. 260

14 / 132

14. FIND THE VALUE: 8 × 4 − 6 + 2

a. 30

b. 28

c. 32

d. 34

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

15 / 132

15. Simplify:

a. 40.15

b. 39.25

c. 38.75

d. 36.65

16 / 132

16. SIMPLIFY:

a. 17

b. 18

c. 16

d. 15

17 / 132

17. Which is the smallest?

a. 0.005

b. 0.05

c. 0.5

d. 0.0005

18 / 132

18. SIMPLIFY: (3²+4²) × 2

a. 74

b. 50

c. 58

d. 98

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

19 / 132

19. Evaluate:

a. 112

b. 110

c. 108

d. 106

20 / 132

20. SIMPLYFY:

a. 22

b. 21

c. 23

d. 20

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

11+10=21

21 / 132

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

a. 11

b. 14

c. 12

d. 13

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

22 / 132

22. 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

23 / 132

23. Find: 20 + 5²−3 × 4

a. 18

b. 27

c. 25

d. 33

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

24 / 132

24. SIMPLIFY:

a. 20

b. 18

c. 19

d. 21

25 / 132

25. EVALUATE:
2³+3²×(4+2)

a. 64

b. 62

c. 66

d. 60

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

26 / 132

26. What is the result of $2$ ?

a. 1.25

b. 2.25

c. 1.75

d. 2.0

27 / 132

27.

a. 289

b. 300

c. 324

d. 361

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

28 / 132

28. Find the value of:

a. -43

b. -44

c. -41

d. -42

29 / 132

29. Solve:

a. 97

b. 96

c. 95

d. 98

30 / 132

30. SIMPLIFY: (15+5)²÷ 10

a. 50

b. 20

c. 30

d. 40

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

31 / 132

31. SOLVE:

a. 98

b. 96

c. 99

d. 95

32 / 132

32. 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

33 / 132

33. WHAT IS THE VALUE OF 45+63÷9×2?

a. 24

b. 67

c. 61

d. 59

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

34 / 132

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

a. 68

b. 80

c. 72

d. 76

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

35 / 132

35. 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

36 / 132

36. Find the value of:

a. 218

b. 216

c. 219

d. 217

37 / 132

37. SIMPLIFY: (45÷5) + (6×3)

a. 28

b. 27

c. 29

d. 30

EXPLANATION:
45÷5=9, 6×3=18, 9+18=27

38 / 132

38. SIMPLIFY: [(8×3)²÷4]−10

a. 136

b. 132

c. 128

d. 134

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

39 / 132

39. SIMPLIFY: (7²−4²) ÷ 3

a. 9

b. 13

c. 15

d. 11

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

40 / 132

40. SIMPLIFY:

a. 16

b. 14

c. 12

d. 10

41 / 132

41. FIND THE VALUE OF: 64 ÷ (4×2) + 3

a. 16

b. 8

c. 7

d. 11

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

42 / 132

42. SOLVE: 10+4²÷2

a. 16

b. 18

c. 12

d. 14

EXPLANATION:
4²=16, 16÷2=8, 10+8=18

43 / 132

43. Simplify:

a. 58

b. 60

c. 59

d. 57

44 / 132

44. EVALUATE: 48 ÷ 4 + 9 −5

a. 12

b. 16

c. 14

d. 15

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

45 / 132

45. Find the value of:

a. 72

b. 71

c. 68

d. 70

46 / 132

46. SIMPLIFY:

a. 28

b. 30

c. 24

d. 26

47 / 132

47. FIND TH VALUE OF:

a. 169

b. 100

c. 144

d. 121

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

48 / 132

48.

a. 52

b. 48

c. 46

d. 50

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

49 / 132

49. SOLVE:

a. 145

b. 148

c. 147

d. 146

50 / 132

50. EVALUATE: 100− [8 × (2+5)]

a. 56

b. 60

c. 44

d. 50

EXPLANATION:
2+5=7, 8×7=56, 100−56=44

51 / 132

51. Evaluate:

a. 51

b. 49

c. 48

d. 50

52 / 132

52. 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

53 / 132

53. SIMPLIFY: (50−20) ÷ 5 + 6

a. 14

b. 12

c. 10

d. 15

EXPLANATION:
50−20=30, 30÷5=6, 6+6=12

54 / 132

54. Solve:

a. 8

b. 4

c. 10

d. 6

55 / 132

55. Solve:

a. 20

b. 21

c. 18

d. 19

56 / 132

56. FIND THE VALUE OF:
(25+5²)÷(2+3)

a. 12

b. 13

c. 11

d. 10

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

57 / 132

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

a. 22

b. 21

c. 26

d. 20

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

58 / 132

58. EVALUATE: 9 × (6−2) + 5

a. 39

b. 41

c. 37

d. 45

EXPLANATION:
6−2=4, 9×4=36, 36+5=41

59 / 132

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

a. 18

b. 20

c. 17

d. 19

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:

60 / 132

60. EVALUATE: (10+6)²−4×3?

a. 252

b. 238

c. 240

d. 244

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

61 / 132

61. Solve:

a. 38

b. 39

c. 36

d. 37

62 / 132

62. EVALUATE: {[(25÷5)²]−(2³+1)}×3

a. 48

b. 40

c. 46

d. 42

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

63 / 132

63. SIMPLIFY: 72− [24÷(4×2)]

a. 71

b. 78

c. 69

d. 70

EXPLANATION:
4×2=8, 24÷8=3, 72−3=69

64 / 132

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

a. 54

b. 50

c. 48

d. 52

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

65 / 132

65. EVALUATE: 81÷ (3²) + 4

a. 11

b. 12

c. 13

d. 14

EXPLANATION:
3²=9, 81÷9=9, 9+4=13

66 / 132

66. SOLVE: (36÷3) + (5×2) −4

a. 18

b. 20

c. 14

d. 16

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

67 / 132

67. EVALUATE: 72÷6+3³

a. 36

b. 45

c. 42

d. 39

EXPLANATION:
72÷6=12, 3³=27, 12+27=39

68 / 132

68. SOLVE:

a. 32

b. 33

c. 30

d. 31

EXPLANATION:
6+3=9→8×9=72→72÷3=24

24+7=31

69 / 132

69. SIMPLIFY:

a. 39

b. 38

c. 40

d. 37

70 / 132

70. SIMPLIFY: (5+3)²÷4

a. 20

b. 16

c. 18

d. 15

EXPLANATION:
5+3=8, 8²=64, 64÷4=16

71 / 132

71. EVALUATE:

a. 14

b. 16

c. 17

d. 15

72 / 132

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

a. 46

b. 42

c. 44

d. 40

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

73 / 132

73. SOLVE: (30÷3) + (5²)

a. 34

b. 33

c. 36

d. 35

EXPLANATION:
30÷3=10, 5²=25, 10+25=35

74 / 132

74. Evaluate:

a. 190

b. 189

c. 191

d. 192

75 / 132

75.

a. 10

b. 0

c. 12

d. 8

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

76 / 132

76. SIMPLIFY:

a. 8.6

b. 2.6

c. 3.5

d. 1.9

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

77 / 132

77. FIND THE VALUE: 5 × 4 + 3²

a. 29

b. 31

c. 28

d. 27

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

78 / 132

78. What is 25% of 240?

a. 20

b. 40

c. 60

d. 50

Explanation:

79 / 132

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

a. 50

b. 10

c. 25

d. 20

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

80 / 132

80. Simplify:

a. 9.4

b. 9.7

c. 9.5

d. 9.6

81 / 132

81. Evaluate:

a. 11.5

b. 12

c. 13

d. 10

82 / 132

82. SOLVE:

a. 22

b. 20

c. 16

d. 18

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

Final Answer: 22

83 / 132

83. Evaluate:

a. 249

b. 248

c. 251

d. 250

84 / 132

84. Simplify:

a. 8.5

b. 8.6

c. 8.4

d. 8.7

85 / 132

85. SOLVE: 3 + 6 × (5 + 4)

a. 45

b. 63

c. 57

d. 54

EXPLANATION:
5+4=9, 6×9=54, 3+54=57

86 / 132

86. EVALUATE:

a. 400

b. 361

c. 324

d. 484

EXPLANATION:
5²=25→25−1=24→24÷2=12

12+6=18, 18²=324

87 / 132

87. SIMPLIFY:

a. 20

b. 22

c. 18

d. 16

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

88 / 132

88. FIND THE RESULT OF: 81 ÷ 3 ÷ 3

a. 9

b. 1

c. 3

d. 27

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

89 / 132

89. FIND THE RESULT OF 64÷4+3²−5

a. 20

b. 18

c. 19

d. 21

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

90 / 132

90. 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

91 / 132

91. EVALUATE
120÷(4+2)+4²

a. 36

b. 40

c. 32

d. 34

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

92 / 132

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

a. 75

b. 25

c. 50

d. 0

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

93 / 132

93. SIMPLIFY:
(72/8 + 3)²−5 × 6

a. 120

b. 124

c. 114

d. 110

72÷8=9, 9+3=12, 12²=144, 144−30=114

94 / 132

94. Simplify:

a. 64

b. 72

c. 68

d. 60

95 / 132

95. EVALUATE: (18÷3)²

a. 25

b. 49

c. 36

d. 16

EXPLANATION:
18÷3=6, 6²=36

96 / 132

96. Simplify:

a. 21

b. 23

c. 22

d. 24

97 / 132

97. Solve:

a. 60

b. 40

c. 30

d. 50

Explanation:

98 / 132

98. Simplify:

a. 5/6

b. 10/12

c. 3/10

d. 8/15

Explanation: Keep–Change–Flip →

99 / 132

99. SOLVE: (20+10) ÷ 5 + 8

a. 10

b. 14

c. 11

d. 12

EXPLANATION:
20+10=30, 30÷5=6, 6+8=14

100 / 132

100. Simplify:

a. 255

b. 260

c. 250

d. 265

101 / 132

101. SIMPLIFY:
[(30÷5)+(2³)]×3

a. 39

b. 42

c. 40

d. 44

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

102 / 132

102. Simplify: (8+2)²−4 × 5

a. 80

b. 100

c. 110

d. 96

Explanation: (10)²−20=100−20=80

103 / 132

103. EVALUATE:

a. 33

b. 35

c. 34

d. 32

104 / 132

104. EVALUATE:- (18÷3+4)²−9

a. 93

b. 92

c. 90

d. 91

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

105 / 132

105. Evaluate:

a. 180

b. 160

c. 150

d. 170

106 / 132

106. FIND THE VALUE: 5²+3×4

a. 33

b. 29

c. 37

d. 31

EXPLANATION:
5²=25, 3×4=12, 25+12=37

107 / 132

107. Simplify:

a. 22

b. 18

c. 16

d. 20

Explanation:
, ,

108 / 132

108. FIND THE VALUE: (12×5) − (6÷2)

a. 58

b. 60

c. 57

d. 54

EXPLANATION:
12×5=60, 6÷2=3, 60−3=57

109 / 132

109. Evaluate:

a. 135

b. 136

c. 138

d. 137

110 / 132

110. SIMPLIFY:
100−{(2+3)²+[8÷4]}

a. 72

b. 73

c. 75

d. 74

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

111 / 132

111. EVALUATE:

a. 34

b. 35

c. 37

d. 36

112 / 132

112. SIMPLIFY:

a. 88

b. 82

c. 84

d. 66

113 / 132

113. EVALUATE:{60−[(4+2)×5]}÷5

a. 8

b. 5

c. 7

d. 6

EXPLANATION:-

4+2=6→6×5=30→60−30=30→30÷5=6

114 / 132

114.

a. 16

b. 14

c. 13

d. 15

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

115 / 132

115. Solve:

a. 42

b. 40

c. 43

d. 41

116 / 132

116. SIMPLIFY:

a. 58

b. 60

c. 64

d. 62

117 / 132

117. Simplify:

a. 182

b. 180

c. 184

d. 188

118 / 132

118. EVALUATE: 7 + (6²−10) ÷ 4

a. 21

b. 17

c. 13.5

d. 20

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

119 / 132

119. SIMPLIFY:

a. 20

b. 15

c. 30

d. 25

EXPLANATION:

96÷4=24→4²=16→24+16=40→40÷2=20

Answer: 20

120 / 132

120. SIMPLIFY: (50+10÷2) × 2

a. 120

b. 130

c. 100

d. 110

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

121 / 132

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

a. 96

b. 84

c. 66

d. 78

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

122 / 132

122. SIMPLIFY:

a. 41.5

b. 40.5

c. 43.5

d. 42.5

123 / 132

123. EVALUATE:
{[5²−(6+4)]÷3}×2

a. 12

b. 10

c. 14

d. 16

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

124 / 132

124. EVALUATE: (18÷2+3)²

a. 121

b. 100

c. 144

d. 81

EXPLANATION:
18÷2=9, 9+3=12, 12²=144

125 / 132

125. Simplify:

a. 240

b. 243

c. 241

d. 242

126 / 132

126. WHAT IS THE VALUE OF (30÷5)³?

a. 36

b. 18

c. 64

d. 216

EXPLANATION:
30÷5=6, 6³=216

127 / 132

127. SIMPLIFY:

a. 217

b. 215

c. 216

d. 218

EXPLANATION:
36÷6=6→9+6=15→15²=225

225−10=215

128 / 132

128. SOLVE:

a. 17

b. 15.8

c. 15.6

d. 16

129 / 132

129. SIMPLIFY: 144÷12+5×3

a. 33

b. 27

c. 29

d. 32

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

130 / 132

130. SIMPLIFY:
{100−[8×(3+2)]}÷2

a. 40

b. 60

c. 50

d. 30

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

131 / 132

131. SOLVE: 144 ÷ (12−6)

a. 36

b. 12

c. 24

d. 18

EXPLANATION:
12−6=6, 144÷6=24

132 / 132

132. EVALUATE:
[7²−(3×5)]×(6÷2)

a. 105

b. 96

c. 102

d. 84

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

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