NUMERICAL ANALYTICS: SIMPLIFICATIONS QUIZ 1

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MATH SIMPLIFICATIONS

SIMPLIFICATION SKILLS TEST – NUMERICAL ANALYTICS QUIZ 1

1 / 96

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

a. 78

b. 84

c. 66

d. 96

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

2 / 96

2. SIMPLIFY:

a. 60

b. 62

c. 58

d. 64

3 / 96

3.

a. 16

b. 14

c. 15

d. 13

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

4 / 96

4. SOLVE:

a. 30

b. 33

c. 32

d. 31

EXPLANATION:
6+3=9→8×9=72→72÷3=24
24+7=31

5 / 96

5. SIMPLIFY: 144÷12+5×3

a. 32

b. 29

c. 27

d. 33

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

6 / 96

6. EVALUATE: [(3²+4²) − (5²−6)] × 2

a. 12

b. 10

c. 16

d. 14

EXPLANATION:
3²=9,4²=16→9+16=25
5²=25→25−6=19
25−19=6×2=12
FINAL: 12

7 / 96

7. EVALUATE
120÷(4+2)+4²

a. 36

b. 32

c. 40

d. 34

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

8 / 96

8. SIMPLIFY: (50+10÷2) × 2

a. 130

b. 120

c. 100

d. 110

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

9 / 96

9. 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

10 / 96

10. EVALUATE: 7 + (6²−12) ÷ 2

a. 19

b. 21

c. 22

d. 20

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

11 / 96

11. SIMPLIFY:

a. 3.5

b. 1.9

c. 2.6

d. 8.6

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

12 / 96

12. EVALUATE: 48 ÷ 4 + 9 −5

a. 15

b. 12

c. 16

d. 14

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

13 / 96

13. SIMPLIFY: (5+3)²÷4

a. 18

b. 16

c. 15

d. 20

EXPLANATION:
5+3=8, 8²=64, 64÷4=16

14 / 96

14. SIMPLIFY: 72− [24÷(4×2)]

a. 70

b. 69

c. 71

d. 78

EXPLANATION:
4×2=8, 24÷8=3, 72−3=69

15 / 96

15. FIND THE RESULT OF: 81 ÷ 3 ÷ 3

a. 27

b. 3

c. 1

d. 9

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

16 / 96

16. SIMPLIFY:

a. 24

b. 30

c. 26

d. 28

17 / 96

17. SIMPLIFY: (3²+4²) × 2

a. 58

b. 74

c. 50

d. 98

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

18 / 96

18. SIMPLIFY: (50−20) ÷ 5 + 6

a. 15

b. 12

c. 14

d. 10

EXPLANATION:
50−20=30, 30÷5=6, 6+6=12

19 / 96

19. SIMPLIFY:
100−{(2+3)²+[8÷4]}

a. 74

b. 73

c. 75

d. 72

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

20 / 96

20. Which is the smallest?

a. 0.05

b. 0.0005

c. 0.005

d. 0.5

21 / 96

21. SOLVE: (30÷3) + (5²)

a. 36

b. 35

c. 33

d. 34

EXPLANATION:
30÷3=10, 5²=25, 10+25=35

22 / 96

22. SOLVE: 144 ÷ (12−6)

a. 18

b. 36

c. 12

d. 24

EXPLANATION:
12−6=6, 144÷6=24

23 / 96

23. SIMPLIFY:
125÷(5+5)+3²×2

a. 30.5

b. 27.5

c. 28.5

d. 25.5

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

24 / 96

24. EVALUATE:
[7²−(3×5)]×(6÷2)

a. 84

b. 102

c. 96

d. 105

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

25 / 96

25. SOLVE:

a. 16

b. 18

c. 22

d. 20

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

26 / 96

26. EVALUATE:

a. 400

b. 361

c. 324

d. 484

EXPLANATION:
5²=25→25−1=24→24÷2=12
12+6=18, 18²=324

27 / 96

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

a. 4X2

b. 3-1

c. ALL AT ONCE

d. 6+4

Explanation: According to BODMAS, solve brackets first.

28 / 96

28. SIMPLIFY:
(72/8 + 3)²−5 × 6

a. 114

b. 124

c. 120

d. 110

72÷8=9, 9+3=12, 12²=144, 144−30=114

29 / 96

29. EVALUATE:
[4²×(18÷3)]−10

a. 84

b. 88

c. 90

d. 86

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

30 / 96

30. FIND THE VALUE: 5²+3×4

a. 31

b. 37

c. 29

d. 33

EXPLANATION:
5²=25, 3×4=12, 25+12=37

31 / 96

31. 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

32 / 96

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

a. 20

b. 17

c. 19

d. 18

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:

33 / 96

33. EVALUATE: (18÷3)²

a. 16

b. 49

c. 36

d. 25

EXPLANATION:
18÷3=6, 6²=36

34 / 96

34. Find: 20 + 5²−3 × 4

a. 18

b. 33

c. 27

d. 25

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

35 / 96

35. WHAT IS THE VALUE OF 45+63÷9×2?

a. 61

b. 67

c. 24

d. 59

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

36 / 96

36. WHAT IS THE VALUE OF (30÷5)³?

a. 216

b. 64

c. 18

d. 36

EXPLANATION:
30÷5=6, 6³=216

37 / 96

37. FIND THE VALUE: 5 × 4 + 3²

a. 29

b. 28

c. 31

d. 27

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

38 / 96

38. FIND THE VALUE OF: 64 ÷ (4×2) + 3

a. 8

b. 11

c. 16

d. 7

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

39 / 96

39. What is the result of $2$ ?

a. 1.75

b. 2.25

c. 2.0

d. 1.25

40 / 96

40. Solve:

a. 30

b. 50

c. 40

d. 60

Explanation:

41 / 96

41. Simplify:

a. 10/12

b. 8/15

c. 5/6

d. 3/10

Explanation: Keep–Change–Flip →

42 / 96

42. EVALUATE: 7 + (6²−10) ÷ 4

a. 17

b. 21

c. 20

d. 13.5

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

43 / 96

43. EVALUATE: (18÷2+3)²

a. 144

b. 121

c. 81

d. 100

EXPLANATION:
18÷2=9, 9+3=12, 12²=144

44 / 96

44. 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

45 / 96

45. SOLVE: (20+10) ÷ 5 + 8

a. 14

b. 11

c. 12

d. 10

EXPLANATION:
20+10=30, 30÷5=6, 6+8=14

46 / 96

46. FIND THE VALUE: 8 × 4 − 6 + 2

a. 30

b. 32

c. 28

d. 34

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

47 / 96

47. 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

48 / 96

48. Simplify:

a. 31/20

b. 23/20

c. 29/20

d. 26/20

LCM of 4 and 5 is 20 →

49 / 96

49.

a. 12

b. 10

c. 0

d. 8

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

50 / 96

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

a. 20

b. 22

c. 21

d. 26

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

51 / 96

51. FIND THE RESULT OF 64÷4+3²−5

a. 21

b. 18

c. 19

d. 20

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

52 / 96

52. SIMPLIFY:
[(30÷5)+(2³)]×3

a. 44

b. 39

c. 40

d. 42

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

53 / 96

53. SIMPLIFY: (45÷5) + (6×3)

a. 28

b. 27

c. 30

d. 29

EXPLANATION:
45÷5=9, 6×3=18, 9+18=27

54 / 96

54. SIMPLIFY:

a. 14

b. 12

c. 16

d. 10

55 / 96

55. SIMPLIFY:

a. 215

b. 218

c. 216

d. 217

EXPLANATION:
36÷6=6→9+6=15→15²=225
225−10=215

56 / 96

56.

a. 324

b. 300

c. 361

d. 289

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

57 / 96

57. EVALUATE:
{[5²−(6+4)]÷3}×2

a. 12

b. 16

c. 14

d. 10

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

58 / 96

58. SIMPLIFY:

a. 20

b. 22

c. 18

d. 16

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

59 / 96

59. EVALUATE:
6²+4×(15−3)²÷6

a. 140

b. 128

c. 136

d. 132

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

60 / 96

60. SIMPLIFY: (15+5)²÷ 10

a. 40

b. 50

c. 20

d. 30

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

61 / 96

61. EVALUATE: 81÷ (3²) + 4

a. 12

b. 11

c. 14

d. 13

EXPLANATION:
3²=9, 81÷9=9, 9+4=13

62 / 96

62.

a. 26

b. 24

c. 25

d. 28

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

63 / 96

63. FIND THE VALUE OF:
(25+5²)÷(2+3)

a. 11

b. 13

c. 12

d. 10

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

64 / 96

64. SIMPLIFY:

a. 81

b. 49

c. 100

d. 64

65 / 96

65. SOLVE: 3 + 6 × (5 + 4)

a. 63

b. 54

c. 45

d. 57

EXPLANATION:
5+4=9, 6×9=54, 3+54=57

66 / 96

66. 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

67 / 96

67. EVALUATE: 100− [8 × (2+5)]

a. 44

b. 50

c. 60

d. 56

EXPLANATION:
2+5=7, 8×7=56, 100−56=44

68 / 96

68. 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

69 / 96

69. EVALUATE: 9 × (6−2) + 5

a. 41

b. 39

c. 37

d. 45

EXPLANATION:
6−2=4, 9×4=36, 36+5=41

70 / 96

70. Simplify:

a. 20

b. 22

c. 16

d. 18

Explanation:
, ,

71 / 96

71. SIMPLIFY:
{100−[8×(3+2)]}÷2

a. 60

b. 40

c. 30

d. 50

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

72 / 96

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

a. 44

b. 42

c. 40

d. 46

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

73 / 96

73. SIMPLIFY:

a. 39

b. 40

c. 38

d. 37

74 / 96

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

a. 75

b. 50

c. 0

d. 25

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

75 / 96

75. Simplify: (8+2)²−4 × 5

a. 80

b. 110

c. 100

d. 96

Explanation: (10)²−20=100−20=80

76 / 96

76. EVALUATE: 72÷6+3³

a. 45

b. 42

c. 39

d. 36

EXPLANATION:
72÷6=12, 3³=27, 12+27=39

77 / 96

77. Simplify:

a. 21

b. 23

c. 22

d. 24

78 / 96

78. FIND THE VALUE: (12×5) − (6÷2)

a. 60

b. 54

c. 57

d. 58

EXPLANATION:
12×5=60, 6÷2=3, 60−3=57

79 / 96

79. EVALUATE:- (18÷3+4)²−9

a. 90

b. 92

c. 91

d. 93

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

80 / 96

80. FIND TH VALUE OF:

a. 121

b. 100

c. 169

d. 144

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

81 / 96

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

a. 50

b. 54

c. 52

d. 48

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

82 / 96

82. SIMPLIFY:

a. 20

b. 30

c. 15

d. 25

EXPLANATION:
96÷4=24→4²=16→24+16=40→40÷2=20
Answer: 20

83 / 96

83. EVALUATE: {[(25÷5)²]−(2³+1)}×3

a. 40

b. 42

c. 48

d. 46

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

84 / 96

84. SIMPLIFY:

a. 18

b. 16

c. 15

d. 17

85 / 96

85. SIMPLIFY: 6²− (4×3) + 5

a. 32

b. 30

c. 31

d. 29

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

86 / 96

86. SOLVE: 10+4²÷2

a. 12

b. 18

c. 14

d. 16

EXPLANATION:
4²=16, 16÷2=8, 10+8=18

87 / 96

87. 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

88 / 96

88. SIMPLIFY:

a. 40.5

b. 41.5

c. 42.5

d. 43.5

89 / 96

89. SIMPLYFY:

a. 23

b. 22

c. 20

d. 21

EXPLANATION:
6²=36, 2³=8→44÷4=11, 5 × 2 = 10
11+10=21

90 / 96

90. SIMPLIFY: (7²−4²) ÷ 3

a. 13

b. 9

c. 15

d. 11

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

91 / 96

91. EVALUATE:
[(3×5)²−(6×4)]÷3

a. 66

b. 68

c. 65

d. 67

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

92 / 96

92. SOLVE: (36÷3) + (5×2) −4

a. 18

b. 16

c. 20

d. 14

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

93 / 96

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

a. 14

b. 11

c. 12

d. 13

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

94 / 96

94. What is 25% of 240?

a. 50

b. 20

c. 60

d. 40

Explanation:

95 / 96

95.

a. 48

b. 52

c. 46

d. 50

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

96 / 96

96. EVALUATE:
2³+3²×(4+2)

a. 66

b. 64

c. 62

d. 60

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

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