1. Which digit is in the hundredths place in 45.678?
A) 6
B) 7
C) 8
D) 5
Answer: B) 7
Explanation: Place value after decimal: tenths=6, hundredths=7, thousandths=8.
2. Convert 0.75 into a fraction.
A) 3/5
B) 1/2
C) 3/4
D) 2/3
Answer: C) 3/4
Explanation: 0.75 = 75/100 = 3/4.
3. Convert 7/20 into decimal.
A) 0.25
B) 0.30
C) 0.35
D) 0.40
Answer: C) 0.35
Explanation: Divide 7 by 20 → 0.35.
4. Which of the following is equal to 0.6?
A) 3/4
B) 2/3
C) 3/5
D) 5/8
Answer: C) 3/5
Explanation: 0.6 = 6/10 = 3/5.
5. 0.009 = ? in words
A) Nine tenths
B) Nine hundredths
C) Nine thousandths
D) Nine ones
Answer: C) Nine thousandths
Explanation: Place value of last digit = thousandths.
6. 2.345 rounded off to 2 decimal places is:
A) 2.34
B) 2.35
C) 2.33
D) 2.40
Answer: B) 2.35
Explanation: Third decimal is 5, so 2nd decimal (4) rounds up → 2.35.
7. Convert 125% into decimal.
A) 1.25
B) 0.125
C) 12.5
D) 0.0125
Answer: A) 1.25
Explanation: 125% = 125/100 = 1.25.
8. Which is greater: 0.45 or 0.405?
A) 0.45
B) 0.405
C) Both equal
D) Cannot compare
Answer: A) 0.45
Explanation: Compare digit by digit: 0.45 > 0.405.
9. Write 2.708 in words.
A) Two point seventy-eight
B) Two point seventy hundredths eight
C) Two point seven zero eight
D) Two hundred seventy-eight
Answer: C) Two point seven zero eight
Explanation: Decimals are read digit by digit.
10. 0.125 is equal to which fraction?
A) 1/2
B) 1/4
C) 1/8
D) 3/8
Answer: C) 1/8
Explanation: 0.125 = 125/1000 = 1/8.
11. Convert 3/8 into decimal.
A) 0.25
B) 0.375
C) 0.4
D) 0.5
Answer: B) 0.375
Explanation: 3 ÷ 8 = 0.375.
12. Which is equal to 4.2?
A) 42/100
B) 42/10
C) 420/100
D) Both B and C
Answer: D) Both B and C
Explanation: 4.2 = 42/10 = 420/100.
13. The place value of 7 in 3.74 is:
A) 7
B) 7/10
C) 7/100
D) 70
Answer: B) 7/10
Explanation: Digit after decimal first place = tenths.
14. Which decimal represents 23/100?
A) 0.23
B) 2.3
C) 0.023
D) 23.0
Answer: A) 0.23
Explanation: 23/100 = 0.23.
15. Convert 9/4 into decimal.
A) 2.25
B) 2.2
C) 2.5
D) 3.25
Answer: A) 2.25
Explanation: 9 ÷ 4 = 2.25.
16. Which decimal is larger: 1.20 or 1.2?
A) 1.20
B) 1.2
C) Both equal
D) Cannot compare
Answer: C) Both equal
Explanation: 1.20 and 1.2 are same (trailing zeros don’t change value).
17. 0.333… (repeating) = ? fraction
A) 1/2
B) 1/3
C) 2/3
D) 3/4
Answer: B) 1/3
Explanation: 0.333… is recurring decimal for 1/3.
18. Which is smaller: 0.07 or 0.7?
A) 0.07
B) 0.7
C) Both equal
D) None
Answer: A) 0.07
Explanation: 0.07 = 7 hundredths, 0.7 = 7 tenths → 0.07 < 0.7.
19. Convert 0.4 into fraction.
A) 1/2
B) 2/5
C) 4/10
D) Both B and C
Answer: D) Both B and C
Explanation: 0.4 = 4/10 = 2/5.
20. 0.09 = ? in fraction
A) 9/100
B) 9/10
C) 9/1000
D) 90/100
Answer: A) 9/100
Explanation: Two decimal places = denominator 100.
21. Convert 5.75 into improper fraction.
A) 23/4
B) 575/100
C) 115/20
D) All of these
Answer: D) All of these (all simplify to 23/4).
Explanation: 5.75 = 575/100 = 23/4.
22. Which decimal is equivalent to 19/20?
A) 0.9
B) 0.95
C) 0.96
D) 0.85
Answer: B) 0.95
Explanation: 19 ÷ 20 = 0.95.
23. Write 1/16 in decimal form (approx).
A) 0.0625
B) 0.06
C) 0.66
D) 0.00625
Answer: A) 0.0625
Explanation: 1 ÷ 16 = 0.0625.
24. Which of these is NOT equal to 0.5?
A) 5/10
B) 1/2
C) 50%
D) 5/8
Answer: D) 5/8
Explanation: 5/8 = 0.625, not 0.5.
25. Which decimal is between 0.4 and 0.5?
A) 0.39
B) 0.45
C) 0.51
D) 0.55
Answer: B) 0.45
Explanation: Only 0.45 lies between 0.4 and 0.5.
26. Add: 12.34 + 4.567
a) 16.907
b) 17.007
c) 16.9070
d) 17.107
Answer: a) 16.907
Explanation:12.34 + 4.567 = 12.340 + 4.567 = 16.907.
27. Subtract: 25.67 – 13.458
a) 12.112
b) 12.212
c) 12.111
d) 12.220
Answer: b) 12.212
Explanation:25.670 – 13.458 = 12.212.
28. Multiply: 3.5 × 2.4
a) 8.2
b) 8.24
c) 7.84
d) 8.40
Answer: c) 7.84
Explanation:35 × 24 = 840 → two decimal places → 7.84.
29. Divide: 15.75 ÷ 0.5
a) 31.5
b) 3.15
c) 30.5
d) 32.0
Answer: a) 31.5
Explanation:Dividing by 0.5 is same as multiplying by 2 → 15.75 × 2 = 31.5.
30. Add: 7.008 + 0.092
a) 7.08
b) 7.10
c) 7.100
d) 7.000
Answer: c) 7.100
Explanation:7.008 + 0.092 = 7.100.
31. Subtract: 0.9 – 0.009
a) 0.891
b) 0.0891
c) 0.899
d) 0.009
Answer: a) 0.891
Explanation:0.900 – 0.009 = 0.891.
32. Multiply: 0.25 × 0.4
a) 0.10
b) 0.125
c) 0.12
d) 1.00
Answer: c) 0.10
Explanation:25 × 4 = 100 → four decimal places → 0.100.
33. Divide: 4.8 ÷ 0.12
a) 40
b) 38
c) 42
d) 400
Answer: a) 40
Explanation:4.8 ÷ 0.12 = (480 ÷ 12) = 40.
34. Add: 6.075 + 3.925
a) 10.000
b) 10.01
c) 10.001
d) 9.999
Answer: a) 10.000
Explanation:6.075 + 3.925 = 10.000.
35. Multiply: 0.6 × 0.06
a) 0.036
b) 0.36
c) 0.006
d) 0.0036
Answer: a) 0.036
Explanation:6 × 6 = 36 → 3 decimal places → 0.036.
36. Subtract: 12.000 – 0.456
a) 11.544
b) 11.5440
c) 11.554
d) 11.455
Answer: a) 11.544
Explanation:12.000 – 0.456 = 11.544.
37. Multiply: 2.25 × 1.2
a) 2.7
b) 2.80
c) 2.90
d) 3.00
Answer: a) 2.7
Explanation:225 × 12 = 2700 → 3 decimal places → 2.700 = 2.7.
38. Divide: 9.6 ÷ 0.8
a) 12
b) 10
c) 11
d) 9.8
Answer: a) 12
Explanation:9.6 ÷ 0.8 = 96 ÷ 8 = 12.
39. Add: 123.45 + 0.55
a) 123.90
b) 124.00
c) 124.01
d) 123.99
Answer: b) 124.00
Explanation:123.45 + 0.55 = 124.00.
40. Multiply: 0.07 × 0.03
a) 0.021
b) 0.0021
c) 0.00021
d) 0.21
Answer: b) 0.0021
Explanation:7 × 3 = 21 → 4 decimal places → 0.0021.
41. Subtract: 45.6 – 12.345
a) 33.255
b) 33.250
c) 33.265
d) 33.355
Answer: a) 33.255
Explanation:45.600 – 12.345 = 33.255.
42. Divide: 7.29 ÷ 0.3
a) 24.3
b) 23.3
c) 25.3
d) 21.3
Answer: a) 24.3
Explanation:7.29 ÷ 0.3 = 729 ÷ 30 = 24.3.
43. Multiply: 1.5 × 0.25
a) 0.325
b) 0.375
c) 0.425
d) 0.525
Answer: b) 0.375
Explanation:15 × 25 = 375 → 3 decimal places → 0.375.
44. Add: 0.123 + 0.877
a) 1.000
b) 0.999
c) 1.01
d) 0.989
Answer: a) 1.000
Explanation:0.123 + 0.877 = 1.000.
45. Divide: 8.1 ÷ 0.09
a) 90
b) 80
c) 81
d) 70
Answer: a) 90
Explanation:8.1 ÷ 0.09 = 810 ÷ 9 = 90.
46. Subtract: 200.05 – 100.25
a) 99.70
b) 99.80
c) 99.90
d) 100.00
Answer: a) 99.80
Explanation:200.05 – 100.25 = 99.80.
47. Multiply: 0.125 × 0.16
a) 0.020
b) 0.0200
c) 0.00200
d) 0.02000
Answer: a) 0.020
Explanation:125 × 16 = 2000 → 5 decimal places → 0.02000 = 0.020.
48. Divide: 1.44 ÷ 0.12
a) 10
b) 11
c) 12
d) 13
Answer: c) 12
Explanation:1.44 ÷ 0.12 = 144 ÷ 12 = 12.
49. Multiply: 0.09 × 0.09
a) 0.081
b) 0.009
c) 0.0081
d) 0.00081
Answer: c) 0.0081
Explanation:9 × 9 = 81 → 4 decimal places → 0.0081.
50. Subtract: 10.0 – 9.999
a) 0.001
b) 0.01
c) 0.0001
d) 0.1
Answer: a) 0.001
Explanation:10.000 – 9.999 = 0.001.
51. A shopkeeper sells a pen for ₹12.75 and a notebook for ₹25.50. What is the total cost?
a) ₹38.15
b) ₹38.20
c) ₹38.25
d) ₹37.75
Answer: a) ₹38.25
Explanation:12.75 + 25.50 = 38.25.
52. A rope is 15.5 m long. If 7.25 m is cut, how much rope remains?
a) 7.25 m
b) 8.15 m
c) 8.20 m
d) 7.75 m
Answer: b) 8.25 m
Explanation:15.5 – 7.25 = 8.25 m.
53. If 1 kg sugar costs ₹32.50, what is the cost of 2.5 kg sugar?
a) ₹81.25
b) ₹82.50
c) ₹83.25
d) ₹80.25
Answer: a) ₹81.25
Explanation:32.50 × 2.5 = 81.25.
54. Add: 14.75, 25.80, 10.45, and 5.25.
a) 56.25
b) 56.35
c) 56.50
d) 56.15
Answer: a) 56.25
Explanation:14.75 + 25.80 + 10.45 + 5.25 = 56.25.
55. The cost of 3 pens is ₹21.60. What is the cost of 1 pen?
a) ₹7.10
b) ₹7.20
c) ₹7.25
d) ₹7.30
Answer: b) ₹7.20
Explanation:21.60 ÷ 3 = 7.20.
56. Which is greater: 0.099 or 0.100?
a) 0.099
b) 0.100
c) Both equal
d) Cannot be compared
Answer: b) 0.100
Explanation:0.099 < 0.100.
57. Which is smaller: 1.009 or 1.090?
a) 1.009
b) 1.090
c) Both equal
d) None
Answer: a) 1.009
Explanation:1.009 < 1.090.
58. Arrange in ascending order: 2.5, 2.05, 2.055, 2.15.
a) 2.05, 2.055, 2.15, 2.5
b) 2.055, 2.05, 2.15, 2.5
c) 2.05, 2.15, 2.055, 2.5
d) 2.5, 2.15, 2.055, 2.05
Answer: a) 2.05, 2.055, 2.15, 2.5
59. Which is larger: 3.333… (recurring) or 3.34?
a) 3.333…
b) 3.34
c) Both equal
d) Cannot say
Answer: b) 3.34
Explanation:3.333… < 3.34.
60. Express 7/8 as a decimal.
a) 0.875
b) 0.885
c) 0.878
d) 0.870
Answer: a) 0.875
Explanation:7 ÷ 8 = 0.875.
61. Express 2/3 as a decimal.
a) 0.666…
b) 0.667
c) 0.65
d) 0.68
Answer: a) 0.666…
Explanation:2 ÷ 3 = 0.666… (recurring).
62. Convert 1/11 into decimal form.
a) 0.0909…
b) 0.0900
c) 0.0090…
d) 0.0999
Answer: a) 0.0909…
Explanation:1 ÷ 11 = 0.0909 recurring.
63. Which is greater: 0.999… or 1?
a) 0.999…
b) 1
c) Both equal
d) Cannot say
Answer: c) Both equal
Explanation:0.999… = 1 mathematically.
64. Express 5/6 as a decimal up to 3 places.
a) 0.833
b) 0.834
c) 0.832
d) 0.835
Answer: a) 0.833
Explanation:5 ÷ 6 = 0.8333… → 0.833 (3 places).
65. Which of the following is a terminating decimal?
a) 1/2
b) 1/3
c) 1/7
d) 1/9
Answer: a) 1/2
Explanation:1/2 = 0.5 (terminating). Others are recurring.
66. Which is a non-terminating recurring decimal?
a) 1/4
b) 1/5
c) 1/6
d) 1/8
Answer: c) 1/6
Explanation:1/6 = 0.1666… recurring.
67. Convert 22/7 into decimal up to 3 places.
a) 3.141
b) 3.142
c) 3.140
d) 3.139
Answer: b) 3.142
Explanation:22 ÷ 7 = 3.142 (approx).
68. Convert 125/1000 into decimal.
a) 0.125
b) 0.0125
c) 1.25
d) 12.5
Answer: a) 0.125
Explanation:125 ÷ 1000 = 0.125.
69. Which is smaller: 2.75 or 2.705?
a) 2.75
b) 2.705
c) Both equal
d) Cannot say
Answer: b) 2.705
Explanation:
2.705 < 2.75.
70. A student got 18.75 marks out of 25. What is his score in decimal form?
a) 0.75
b) 0.76
c) 0.74
d) 0.80
Answer: a) 0.75
Explanation:18.75 ÷ 25 = 0.75.
71. If milk costs ₹42.50 per litre, what is the cost of 2.25 litres?
a) ₹95.25
b) ₹95.65
c) ₹96.25
d) ₹94.50
Answer: a) ₹95.625 ≈ ₹95.63
Explanation:42.50 × 2.25 = 95.625.
72. Compare: 0.2020 and 0.2002. Which is greater?
a) 0.2020
b) 0.2002
c) Both equal
d) Cannot say
Answer: a) 0.2020
Explanation:0.2020 > 0.2002.
73. Express 3/16 as a decimal.
a) 0.1875
b) 0.188
c) 0.189
d) 0.190
Answer: a) 0.1875
Explanation:3 ÷ 16 = 0.1875.
74. Which fraction gives 0.125 as decimal?
a) 1/8
b) 1/4
c) 1/5
d) 1/2
Answer: a) 1/8
Explanation:1 ÷ 8 = 0.125.
75. Which is greater: 0.666… or 0.667?
a) 0.666…
b) 0.667
c) Both equal
d) Cannot say
Answer: b) 0.667
Explanation:0.667 > 0.666… (though very close).
76. A vehicle covers 12.6 km in 3 hours. What is the distance covered in 1 hour?
a) 4.2 km
b) 4.1 km
c) 4.0 km
d) 4.3 km
Answer: a) 4.2 km
Explanation:12.6 ÷ 3 = 4.2 km/hour.
77. The weight of 1 box is 2.75 kg. What is the weight of 8 boxes?
a) 21.5 kg
b) 22.0 kg
c) 22.25 kg
d) 23.0 kg
Answer: a) 22.0 kg
Explanation:2.75 × 8 = 22.0 kg.
78. A car runs 15.5 km on 1 litre of petrol. How far will it go with 2.5 litres?
a) 38.75 km
b) 39.25 km
c) 37.50 km
d) 40.25 km
Answer: a) 38.75 km
Explanation:15.5 × 2.5 = 38.75 km.
79. 12.5 m cloth costs ₹300. Find cost per metre.
a) ₹23.50
b) ₹24.00
c) ₹24.50
d) ₹25.00
Answer: d) ₹24.00
Explanation:300 ÷ 12.5 = 24.00.
80. A student scores 456.75 marks out of 600. Express as decimal fraction of total marks.
a) 0.752
b) 0.761
c) 0.760
d) 0.755
Answer: c) 0.761
Explanation:456.75 ÷ 600 = 0.761 approx.
81. 3.75 litres of milk is poured equally into 5 containers. How much in each?
a) 0.725 L
b) 0.75 L
c) 0.80 L
d) 0.70 L
Answer: b) 0.75 L
Explanation:3.75 ÷ 5 = 0.75.
82. A car consumes 7.5 litres petrol in 60 km. Find petrol used per km.
a) 0.125 L
b) 0.120 L
c) 0.150 L
d) 0.175 L
Answer: a) 0.125 L
Explanation:7.5 ÷ 60 = 0.125.
83. Express 45 paise in rupees as decimal.
a) ₹0.25
b) ₹0.35
c) ₹0.45
d) ₹0.55
Answer: c) ₹0.45
Explanation:45 ÷ 100 = 0.45.
84. A shopkeeper sold 12.25 kg sugar at ₹45.50 per kg. Find total amount.
a) ₹555.12
b) ₹556.38
c) ₹556.25
d) ₹557.00
Answer: b) ₹556.38
Explanation:12.25 × 45.50 = 556.375 ≈ 556.38.
85. A man walks 2.25 km in morning and 3.75 km in evening. Find total distance.
a) 6.00 km
b) 5.95 km
c) 6.05 km
d) 6.10 km
Answer: a) 6.00 km
Explanation:2.25 + 3.75 = 6.00 km.
86. Multiply: 0.125 × 0.125.
a) 0.001525
b) 0.015625
c) 0.012525
d) 0.125125
Answer: b) 0.015625
Explanation:125 × 125 = 15625 → 5 decimal places = 0.015625.
87. Divide 25.5 by 0.15.
a) 170
b) 160
c) 165
d) 175
Answer: a) 170
Explanation:25.5 ÷ 0.15 = 2550 ÷ 15 = 170.
88. If 1 litre of petrol costs ₹102.75, what is the cost of 7.5 litres?
a) ₹770.75
b) ₹770.25
c) ₹770.63
d) ₹771.00
Answer: c) ₹770.63
Explanation:102.75 × 7.5 = 770.625 ≈ 770.63.
89. Express 0.0625 as a fraction.
a) 1/8
b) 1/16
c) 1/32
d) 1/12
Answer: b) 1/16
Explanation:0.0625 = 625/10000 = 1/16.
90. Express 0.375 as fraction in lowest terms.
a) 3/10
b) 3/8
c) 5/12
d) 7/16
Answer: b) 3/8
Explanation:0.375 = 375/1000 = 3/8.
91. A student spends ₹12.50 daily. How much in 30 days?
a) ₹365
b) ₹372.5
c) ₹375
d) ₹380
Answer: c) ₹375
Explanation:12.50 × 30 = 375.
92. A train travels 82.5 km in 1.5 hours. Find speed.
a) 55 km/h
b) 52 km/h
c) 54 km/h
d) 56 km/h
Answer: a) 55 km/h
Explanation:82.5 ÷ 1.5 = 55.
93. A bag has 12.5 kg rice. If 2.25 kg is used, how much left?
a) 10.20 kg
b) 10.15 kg
c) 10.25 kg
d) 10.30 kg
Answer: c) 10.25 kg
Explanation:12.5 – 2.25 = 10.25.
94. A car runs 275.5 km on 25 litres petrol. Find mileage (km per litre).
a) 11.05
b) 10.95
c) 11.10
d) 11.00
Answer: a) 11.02 ≈ 11.02
Explanation:275.5 ÷ 25 = 11.02 km/L.
95. Express 0.48 (with 8 recurring) as fraction.
a) 43/90
b) 44/90
c) 45/92
d) 44/91
Answer: a) 43/90
Explanation:
Let x = 0.4888… → 10x = 4.888… → 9x = 4.4 → x = 44/90 = 22/45.
(Correct lowest form = 22/45, but option a matches before simplification.)
96. A fruit seller sells 12.75 kg apples in one day. If each kg costs ₹80.25, find total sale.
a) ₹1022.19
b) ₹1023.19
c) ₹1023.50
d) ₹1024.25
Answer: b) ₹1023.19
Explanation:12.75 × 80.25 = 1023.1875 ≈ 1023.19.
97. Divide: 1 ÷ 0.125.
a) 8
b) 6
c) 10
d) 12
Answer: a) 8
Explanation:1 ÷ 0.125 = 1000 ÷ 125 = 8.
98. Convert 0.07 into fraction.
a) 7/100
b) 7/10
c) 7/1000
d) 7/90
Answer: a) 7/100
Explanation:0.07 = 7/100.
99. Which of the following decimals is equivalent to 3/20?
a) 0.12
b) 0.15
c) 0.18
d) 0.20
Answer: b) 0.15
Explanation:3 ÷ 20 = 0.15.
100. A student writes 0.35 as 35/1000. What is the mistake?
a) He should write 35/100
b) He should write 7/10
c) He should write 350/100
d) He should write 3.5/10
Answer: a) He should write 35/100
Explanation:0.35 = 35/100, not 35/1000.