NUMERICAL ANALYTICS: SIMPLIFICATIONS QUIZ 1

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MATH SIMPLIFICATIONS

SIMPLIFICATION SKILLS TEST – NUMERICAL ANALYTICS QUIZ 1

1 / 152

FIND THE RESULT OF: 81 ÷ 3 ÷ 3

a. 1

b. 9

c. 3

d. 27

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

2 / 152

EVALUATE:
{[5²−(6+4)]÷3}×2

a. 14

b. 12

c. 16

d. 10

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

3 / 152

SIMPLIFY: (5+3)²÷4

a. 15

b. 20

c. 18

d. 16

EXPLANATION:
5+3=8, 8²=64, 64÷4=16

4 / 152

SOLVE:

a. 18.25

b. 15.25

c. 16.25

d. 17.25

5 / 152

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

6 / 152

Solve:

a. 2450

b. 2500

c. 2400

d. 2596

7 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2022)

APPROXIMATE:
804 ÷ 39 ≈ ?

a. 22

b. 25

c. 20

d. 18

SOLUTION:
804 ≈ 800
39 ≈ 40

= 800 ÷ 40 = 20

8 / 152

Simplify:

a. 16

b. 22

c. 20

d. 18

Explanation:
, ,

9 / 152

SIMPLIFY:
100−{(2+3)²+[8÷4]}

a. 73

b. 74

c. 75

d. 72

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

10 / 152

SIMPLIFY: 6²− (4×3) + 5

a. 29

b. 32

c. 30

d. 31

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

11 / 152

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

a. ALL AT ONCE

b. 6+4

c. 4X2

d. 3-1

Explanation: According to BODMAS, solve brackets first.

12 / 152

SOLVE:

a. 30

b. 32

c. 33

d. 31

EXPLANATION:
6+3=9→8×9=72→72÷3=24

24+7=31

13 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CHSL 2023)

APPROXIMATE:
498 × 19 ≈ ?

a. 9800

b. 9200

c. 10000

d. 9500

SOLUTION:
498 ≈ 500
19 ≈ 20

= 500 × 20 = 10000

14 / 152

SIMPLIFY:

a. 16

b. 18

c. 22

d. 20

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

15 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC MTS 2021)

SIMPLIFY:
144 ÷ 12 × (5 + 3)

a. 92

b. 88

c. 84

d. 96

SOLUTION:
= 144 ÷ 12 × 8
= 12 × 8
= 96

16 / 152

SOLVE:

a. 17

b. 16

c. 15.8

d. 15.6

17 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC GD 2020)

SIMPLIFY:
(20 + 10) × 6 ÷ 5

a. 30

b. 36

c. 50

d. 40

SOLUTION:
= 30 × 6 ÷ 5
= 180 ÷ 5
= 36

18 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2022)

APPROXIMATE:
1210 ÷ 59 ≈ ?

a. 20

b. 18

c. 22

d. 25

SOLUTION:
1210 ≈ 1200
59 ≈ 60

= 1200 ÷ 60 = 20

19 / 152

FIND THE VALUE: 5²+3×4

a. 31

b. 37

c. 29

d. 33

EXPLANATION:
5²=25, 3×4=12, 25+12=37

20 / 152

SIMPLIFY:
[(30÷5)+(2³)]×3

a. 44

b. 42

c. 40

d. 39

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

21 / 152

SIMPLIFY: 144÷12+5×3

a. 29

b. 32

c. 33

d. 27

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

22 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CHSL 2022)

SIMPLIFY:
(18 × 5) + (64 ÷ 8) – 12

a. 94

b. 86

c. 90

d. 88

SOLUTION:
= 90 + 8 – 12
= 98 – 12
= 86

23 / 152

SIMPLIFY:

a. 40

b. 37

c. 38

d. 39

24 / 152

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

25 / 152

FIND THE VALUE: 8 × 4 − 6 + 2

a. 30

b. 34

c. 28

d. 32

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

26 / 152

SIMPLIFY:
(72/8 + 3)²−5 × 6

a. 110

b. 114

c. 124

d. 120

72÷8=9, 9+3=12, 12²=144, 144−30=114

27 / 152

EVALUATE:{60−[(4+2)×5]}÷5

a. 7

b. 6

c. 5

d. 8

EXPLANATION:-

4+2=6→6×5=30→60−30=30→30÷5=6

28 / 152

SOLVE: (30÷3) + (5²)

a. 34

b. 36

c. 35

d. 33

EXPLANATION:
30÷3=10, 5²=25, 10+25=35

29 / 152

WHAT IS THE RESULT OF:
(3²+5²)×(10÷5)

a. 80

b. 72

c. 68

d. 76

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

30 / 152

a. 12

b. 8

c. 0

d. 10

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

31 / 152

a. 50

b. 52

c. 46

d. 48

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

32 / 152

Find: 20 + 5²−3 × 4

a. 33

b. 27

c. 25

d. 18

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

33 / 152

FIND THE VALUE: 5 × 4 + 3²

a. 27

b. 28

c. 29

d. 31

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

34 / 152

Simplify:

a. 8.5

b. 8.6

c. 8.4

d. 8.7

35 / 152

SIMPLIFY:

a. 88

b. 84

c. 82

d. 66

36 / 152

SIMPLIFY: [(8×3)²÷4]−10

a. 134

b. 136

c. 128

d. 132

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

37 / 152

SIMPLIFY:
(18+12÷4)²−3³

a. 414

b. 410

c. 418

d. 420

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

38 / 152

EVALUATE: {[(25÷5)²]−(2³+1)}×3

a. 48

b. 42

c. 40

d. 46

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

39 / 152

SIMPLIFY:

a. 217

b. 218

c. 216

d. 215

EXPLANATION:
36÷6=6→9+6=15→15²=225

225−10=215

40 / 152

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

a. 25

b. 10

c. 20

d. 50

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

41 / 152

a. 24

b. 26

c. 28

d. 25

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

42 / 152

WHAT IS THE VALUE OF 60 ÷ 5 + 6 × 3?

a. 27

b. 33

c. 30

d. 36

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

43 / 152

WHAT IS THE VALUE OF: (28÷2+6) × 2

a. 44

b. 40

c. 42

d. 46

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

44 / 152

SIMPLIFY: (50+10÷2) × 2

a. 120

b. 100

c. 110

d. 130

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

45 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC MTS 2021)

APPROXIMATE:
(399 + 602) × 3 ≈ ?

a. 3300

b. 2700

c. 3600

d. 3000

SOLUTION:
399 ≈ 400
602 ≈ 600

= (400 + 600) × 3
= 1000 × 3 = 3000

46 / 152

SIMPLIFY:

a. 40.5

b. 42.5

c. 43.5

d. 41.5

47 / 152

Simplify: (8+2)²−4 × 5

a. 110

b. 80

c. 96

d. 100

Explanation: (10)²−20=100−20=80

48 / 152

What is 25% of 240?

a. 60

b. 20

c. 50

d. 40

Explanation:

49 / 152

Evaluate:

a. 260

b. 250

c. 270

d. 240

50 / 152

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

a. 20

b. 17

c. 18

d. 19

Table of Contents
Toggle

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:

51 / 152

Solve:

a. 30

b. 40

c. 50

d. 60

Explanation:

52 / 152

Evaluate:

a. 150

b. 170

c. 160

d. 180

53 / 152

SIMPLIFY: (45÷5) + (6×3)

a. 30

b. 28

c. 29

d. 27

EXPLANATION:
45÷5=9, 6×3=18, 9+18=27

54 / 152

EVALUATE: 72÷6+3³

a. 36

b. 45

c. 39

d. 42

EXPLANATION:
72÷6=12, 3³=27, 12+27=39

55 / 152

FIND THE RESULT OF: 100−[25×(2+2)]

a. 50

b. 25

c. 0

d. 75

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

56 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC GD 2020)

SIMPLIFY:
(18 + 6) × 5 ÷ 3

a. 30

b. 35

c. 20

d. 40

SOLUTION:
= 24 × 5 ÷ 3
= 120 ÷ 3
= 40

ANSWER: A

57 / 152

SOLVE: 10+4²÷2

a. 12

b. 14

c. 18

d. 16

EXPLANATION:
4²=16, 16÷2=8, 10+8=18

58 / 152

Solve:

a. 38

b. 39

c. 37

d. 36

59 / 152

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

a. 84

b. 96

c. 66

d. 78

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

60 / 152

What is the result of $2$ ?

a. 2.25

b. 1.25

c. 1.75

d. 2.0

61 / 152

FIND THE VALUE: (12×5) − (6÷2)

a. 57

b. 54

c. 60

d. 58

EXPLANATION:
12×5=60, 6÷2=3, 60−3=57

62 / 152

SOLVE: 144 ÷ (12−6)

a. 18

b. 12

c. 36

d. 24

EXPLANATION:
12−6=6, 144÷6=24

63 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CHSL 2022)

SIMPLIFY:
(25 × 4) + (36 ÷ 6) – 15

a. 95

b. 85

c. 91

d. 89

SOLUTION:
= 100 + 6 – 15
= 106 – 15
= 91

64 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2018)

APPROXIMATE:
(78 × 12) + 21 ≈ ?

a. 950

b. 900

c. 1000

d. 850

SOLUTION:
78 ≈ 80
12 ≈ 12

= 80 × 12 = 960
960 + 21 ≈ 980 ≈ 1000 (CLOSEST)

65 / 152

SIMPLIFY: (7²−4²) ÷ 3

a. 15

b. 9

c. 13

d. 11

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

66 / 152

EVALUATE:
[4²×(18÷3)]−10

a. 88

b. 84

c. 90

d. 86

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

67 / 152

Solve:

a. 95

b. 97

c. 96

d. 98

68 / 152

EVALUATE: 7 + (6²−12) ÷ 2

a. 19

b. 22

c. 21

d. 20

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

69 / 152

SIMPLIFY:

a. 25

b. 30

c. 20

d. 15

EXPLANATION:

96÷4=24→4²=16→24+16=40→40÷2=20

Answer: 20

70 / 152

SOLVE:

a. 145

b. 147

c. 146

d. 148

71 / 152

Simplify:

a. 60

b. 40

c. 70

d. 50

72 / 152

EVALUATE: 7 + (6²−10) ÷ 4

a. 17

b. 21

c. 13.5

d. 20

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

73 / 152

Simplify:

a. 60

b. 59

c. 58

d. 57

74 / 152

SOLVE: (20+10) ÷ 5 + 8

a. 12

b. 14

c. 11

d. 10

EXPLANATION:
20+10=30, 30÷5=6, 6+8=14

75 / 152

Simplify:

a. 241

b. 240

c. 243

d. 242

76 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2023)

SIMPLIFY:
48 ÷ 6 × 3 + 12 – 5

a. 33

b. 35

c. 31

d. 29

SOLUTION:
= 48 ÷ 6 × 3 + 12 – 5
= 8 × 3 + 12 – 5
= 24 + 12 – 5
= 36 – 5
= 31

77 / 152

SIMPLIFY:

a. 64

b. 81

c. 49

d. 100

78 / 152

a. 324

b. 289

c. 300

d. 361

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

79 / 152

SIMPLIFY:

a. 12

b. 16

c. 14

d. 10

80 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC GD 2020)

APPROXIMATE:
1002 × 39 ≈ ?

a. 41000

b. 40000

c. 38000

d. 39000

SOLUTION:
1002 ≈ 1000
39 ≈ 40

= 1000 × 40 = 40000

81 / 152

SIMPLIFY:
125÷(5+5)+3²×2

a. 27.5

b. 28.5

c. 30.5

d. 25.5

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

82 / 152

EVALUATE:

a. 34

b. 35

c. 32

d. 33

83 / 152

EVALUATE:
[7²−(3×5)]×(6÷2)

a. 84

b. 105

c. 102

d. 96

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

84 / 152

SOLVE: 3 + 6 × (5 + 4)

a. 63

b. 54

c. 45

d. 57

EXPLANATION:
5+4=9, 6×9=54, 3+54=57

85 / 152

FIND THE VALUE OF:
(25+5²)÷(2+3)

a. 12

b. 11

c. 13

d. 10

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

86 / 152

EVALUATE: 100− [8 × (2+5)]

a. 50

b. 44

c. 56

d. 60

EXPLANATION:
2+5=7, 8×7=56, 100−56=44

87 / 152

SOLVE:

a. 22

b. 20

c. 18

d. 16

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

Final Answer: 22

88 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2023)

SIMPLIFY:
36 ÷ 6 × 4 + 15 – 9

a. 30

b. 27

c. 33

d. 24

SOLUTION:
= 36 ÷ 6 × 4 + 15 – 9
= 6 × 4 + 15 – 9
= 24 + 15 – 9
= 39 – 9
= 30

89 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CHSL 2023)

APPROXIMATE:
602 × 48 ≈ ?

a. 28000

b. 32000

c. 29000

d. 30000

SOLUTION:
602 ≈ 600
48 ≈ 50

= 600 × 50 = 30000

90 / 152

EVALUATE:
[(3×5)²−(6×4)]÷3

a. 65

b. 67

c. 66

d. 68

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

91 / 152

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

a. 22

b. 20

c. 26

d. 21

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

92 / 152

Simplify:

a. 23

b. 24

c. 21

d. 22

93 / 152

Find the value of:

a. -42

b. -43

c. -44

d. -41

94 / 152

Simplify:

a. 5/6

b. 8/15

c. 10/12

d. 3/10

Explanation: Keep–Change–Flip →

95 / 152

Which is the smallest?

a. 0.5

b. 0.005

c. 0.0005

d. 0.05

96 / 152

Evaluate:

a. 13

b. 10

c. 11.5

d. 12

97 / 152

EVALUATE:- (18÷3+4)²−9

a. 92

b. 90

c. 91

d. 93

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

98 / 152

Simplify:

a. 9.7

b. 9.6

c. 9.5

d. 9.4

99 / 152

Evaluate:

a. 236

b. 234

c. 232

d. 238

100 / 152

SIMPLIFY:
{100−[8×(3+2)]}÷2

a. 40

b. 50

c. 60

d. 30

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

101 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2019)

SIMPLIFY:
72 ÷ 8 × 4 + 10

a. 48

b. 44

c. 46

d. 42

SOLUTION:
= 9 × 4 + 10
= 36 + 10
= 46

102 / 152

Evaluate:

a. 136

b. 137

c. 138

d. 135

103 / 152

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

104 / 152

Evaluate:

a. 191

b. 192

c. 189

d. 190

105 / 152

Simplify:

a. 26/20

b. 31/20

c. 23/20

d. 29/20

LCM of 4 and 5 is 20 →

106 / 152

Simplify:

a. 38.75

b. 40.15

c. 39.25

d. 36.65

107 / 152

SIMPLIFY: (3²+4²) × 2

a. 74

b. 50

c. 58

d. 98

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

108 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC MTS 2021)

SIMPLIFY:
150 ÷ 10 × (6 + 4)

a. 160

b. 170

c. 140

d. 150

SOLUTION:
= 150 ÷ 10 × 10
= 15 × 10
= 150

109 / 152

FIND TH VALUE OF:

a. 144

b. 100

c. 169

d. 121

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

110 / 152

SIMPLIFY: (50−20) ÷ 5 + 6

a. 10

b. 12

c. 14

d. 15

EXPLANATION:
50−20=30, 30÷5=6, 6+6=12

111 / 152

Simplify:

a. 265

b. 250

c. 260

d. 255

112 / 152

EVALUATE: 81÷ (3²) + 4

a. 12

b. 13

c. 14

d. 11

EXPLANATION:
3²=9, 81÷9=9, 9+4=13

113 / 152

EVALUATE:

a. 400

b. 361

c. 324

d. 484

EXPLANATION:
5²=25→25−1=24→24÷2=12

12+6=18, 18²=324

114 / 152

SIMPLIFY: 72− [24÷(4×2)]

a. 78

b. 70

c. 69

d. 71

EXPLANATION:
4×2=8, 24÷8=3, 72−3=69

115 / 152

Simplify:

a. 68

b. 72

c. 64

d. 60

116 / 152

EVALUATE: (10+6)²−4×3?

a. 240

b. 238

c. 252

d. 244

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

117 / 152

SIMPLYFY:

a. 23

b. 22

c. 21

d. 20

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

11+10=21

118 / 152

Find the value of:

a. 70

b. 72

c. 68

d. 71

119 / 152

Simplify:

a. 182

b. 184

c. 188

d. 180

120 / 152

WHAT IS THE VALUE OF (30÷5)³?

a. 18

b. 64

c. 216

d. 36

EXPLANATION:
30÷5=6, 6³=216

121 / 152

Evaluate:

a. 249

b. 248

c. 251

d. 250

122 / 152

Evaluate:

a. 51

b. 49

c. 50

d. 48

123 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

SSC CGL 2019)

SIMPLIFY:
84 ÷ 7 × 5 + 8

a. 68

b. 70

c. 65

d. 60

SOLUTION:
= 12 × 5 + 8
= 60 + 8
= 68

124 / 152

EVALUATE:

a. 36

b. 35

c. 34

d. 37

125 / 152

Solve:

a. 6

b. 4

c. 10

d. 8

126 / 152

EVALUATE: (18÷3)²

a. 49

b. 36

c. 25

d. 16

EXPLANATION:
18÷3=6, 6²=36

127 / 152

SIMPLIFY:

a. 24

b. 30

c. 28

d. 26

128 / 152

Evaluate:

a. 108

b. 110

c. 106

d. 112

129 / 152

EVALUATE:

a. 14

b. 17

c. 16

d. 15

130 / 152

SIMPLIFY:

a. 18

b. 19

c. 21

d. 20

131 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC GD 2020)

APPROXIMATE:
999 × 51 ≈ ?

a. 53000

b. 52000

c. 51000

d. 50000

SOLUTION:
999 ≈ 1000
51 ≈ 50

= 1000 × 50 = 50000

132 / 152

Solve:

a. 43

b. 41

c. 40

d. 42

133 / 152

SOLVE:

a. 96

b. 98

c. 99

d. 95

134 / 152

EVALUATE: 9 × (6−2) + 5

a. 41

b. 39

c. 45

d. 37

EXPLANATION:
6−2=4, 9×4=36, 36+5=41

135 / 152

WHAT IS THE VALUE OF 45+63÷9×2?

a. 61

b. 67

c. 59

d. 24

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

136 / 152

SIMPLIFY:

a. 60

b. 62

c. 64

d. 58

137 / 152

WHAT IS THE VALUE OF (100−40)÷10+2³?

a. 12

b. 14

c. 13

d. 11

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

138 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC MTS 2021)

APPROXIMATE:
(199 + 301) × 5 ≈ ?

a. 2500

b. 2700

c. 2600

d. 2400

SOLUTION:
199 ≈ 200
301 ≈ 300

= (200 + 300) × 5
= 500 × 5 = 2500

139 / 152

SIMPLIFICATION (BODMAS & APPROXIMATION)

(SSC CGL 2018)

APPROXIMATE:
(89 × 11) + 52 ≈ ?

a. 1000

b. 1100

c. 950

d. 1050

SOLUTION:
89 ≈ 90
11 ≈ 10

= 90 × 10 = 900
900 + 52 ≈ 950 (CLOSEST)

140 / 152

SIMPLIFY: (15+5)²÷ 10

a. 40

b. 30

c. 50

d. 20

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

141 / 152

WHAT IS THE RESULT OF 100 − (6²+4²)?

a. 54

b. 48

c. 50

d. 52

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

142 / 152

EVALUATE: [(3²+4²) − (5²−6)] × 2

a. 16

b. 10

c. 12

d. 14

EXPLANATION:
3²=9,4²=16→9+16=25

5²=25→25−6=19

25−19=6×2=12

FINAL: 12

143 / 152

a. 13

b. 15

c. 16

d. 14

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

144 / 152

EVALUATE
120÷(4+2)+4²

a. 34

b. 40

c. 32

d. 36

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

145 / 152

SIMPLIFY:

a. 16

b. 18

c. 17

d. 15

146 / 152

EVALUATE:
6²+4×(15−3)²÷6

a. 132

b. 140

c. 128

d. 136

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

147 / 152

Find the value of:

a. 217

b. 216

c. 219

d. 218

148 / 152

EVALUATE: (18÷2+3)²

a. 144

b. 100

c. 81

d. 121

EXPLANATION:
18÷2=9, 9+3=12, 12²=144

149 / 152

EVALUATE:
2³+3²×(4+2)

a. 66

b. 62

c. 64

d. 60

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

150 / 152

EVALUATE: 48 ÷ 4 + 9 −5

a. 15

b. 12

c. 14

d. 16

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

151 / 152

FIND THE VALUE OF: 64 ÷ (4×2) + 3

a. 8

b. 11

c. 7

d. 16

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

152 / 152

Solve:

a. 20

b. 21

c. 18

d. 19

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