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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the product: 0.076 × 1000 |
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Answer» 0.076 × 1000 On multiplying a decimal by 1000, the decimal point is shifted to the right by three places. We have, 0.076 × 1000 = 76 |
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| 2. |
Express the following fractions as decimals:(i) (23/10)(ii) 25 (1/8)(iii) 39 (7/35)(iv) 15 (1/25) |
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Answer» (i) Given (23/10) Divide 23 by 10 we get (23/10) = 2.3 (ii) Given 25 (1/8) 25 (1/8) can be written as 25 (1/8) = 25 + (1/8) Consider (1/8), Now multiply both numerator and denominator by 125 to get 1000 as denominator 25 (1/8) = 25 + (1/8) = 25 + (1 × 125 /8 × 125) = 25 + (125/1000) = 25 + 0.125 = 25.125 (iii) Given 39 (7/35) First convert given mixed fraction 39 (7/35) into improper fraction 39 (7/35) = 1372/35 By dividing we get 39 (7/35) = 39.2 (iv) Given 15 (1/25) 15 (1/25) can be written as 15 (1/25) = 15 + (1/25) Consider (1/25), Now multiply both numerator and denominator by 4 to get 100 as denominator 15 (1/25) = 15 + (1/25) = 15 + (1 × 4 /25 × 4) = 15 + (4/100) = 15 + 0.04 = 15.04 |
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| 3. |
Write the following decimals as fractions. Reduce the fractions to lowest form.(a) 0.6(b) 2.5(c) 1.0(d) 3.8(e) 13.7(f) 21.2(g) 6.4 |
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Answer» (a) 0.6 = 6/10 = 3/5 (b) 2.5 = 25/10 = 5/2 (c) 1.0 = 1 (d) 3.8 = 38/10 = 19/5 (e) 13.7 = 137/10 (f) 21.2 = 212/10 = 106/5 (g) 6.4 = 64/10 = 32/5 |
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| 4. |
Convert each of the following fractions as decimals:(i) 0.04(ii) 2.34(iii) 0.342(iv) 17.38 |
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Answer» (i) Given 0.04 Here we have to convert given decimals into fractions 0.04 can be written as (0.04/1) Now multiply both numerator and denominator by 100 then we get (0.04/1) = (0.04 × 100 /1 × 100) = (4/100) = (1/25) (ii) Given 2.34 Here we have to convert given decimals into fractions 2.34 can be written as (2.34/1) Now multiply both numerator and denominator by 100 then we get (2.34/1) = (2.34 × 100 /1 × 100) = (234/100) = (117/50) (iii) Given 0.342 Here we have to convert given decimals into fractions 0.342 can be written as (0.342/1) Now multiply both numerator and denominator by 1000 then we get (0.342/1) = (0.342 × 1000 /1 × 1000) = (342/1000) = (171/500) (iv) Given 17.38 Here we have to convert given decimals into fractions 17.38 can be written as (17.38/1) Now multiply both numerator and denominator by 100 then we get (17.38/1) = (17.38 × 100 /1 × 100) = (1738/100) = (869/50) |
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| 5. |
6 cm = ? a) 0.006 km b) 0.0006 km c) 0.00006 km d) none of these |
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Answer» c) 0.00006 km WKT, =1 m = 100 cm Then, = 6 cm = (6/100) m = 0.06 m WKT, = 1 km = 1000 m Then, = 0.06 m = (0.06/1000) = (0.00006) km |
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| 6. |
1.04 = ?a) [1(1/50)] b) [1(2/5)] c) [1(1/25)] d) none of these |
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Answer» c) [1(1/25)] Because, =1.04 = (104/100) = (26/25) … [÷ 4] = [1(1/25)] |
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| 7. |
[2(2/25)] = ?a) 2.8 b) 2.08 c) 2.008 d) none of these |
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Answer» b) 2.08 Because, = [2(2/25)] = (52/25) … [÷ 25] = 2.08 |
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| 8. |
Find the product: 4.8 × 1000 |
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Answer» 4.8 × 1000 On multiplying a decimal by 1000, the decimal point is shifted to the right by three places. We have, 4.8 × 1000 = 4800 |
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| 9. |
The length of Ramesh’s note book is 9 cm 5 mm What will be its length in cm? |
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Answer» The length of Ramesh’s note book is 9 cm 5 mm ∴ The length in cm is (9 + 5/10)cm = 9.5cm |
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| 10. |
Find the product: 3.65 × 19 |
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Answer» 3.65 × 19 Multiply the decimal without the decimal point by the given whole number. We have, 365 × 19 = 6935 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 3.65 × 19 = 69.35 |
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| 11. |
The length of a young gram plant is 65 mm Express it’s length in cm. |
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Answer» The length of a gram plant is 65 mm ∴ The length in cm is 65/10 = 6.5cm |
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| 12. |
Find the product: 4.125 × 86 |
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Answer» 4.125 × 86 Multiply the decimal without the decimal point by the given whole number. We have, 4125 × 86 = 354750 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 4.125 × 86 = 35.4750 |
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| 13. |
Find the product: 0.854 × 12 |
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Answer» 0.854 × 12 Multiply the decimal without the decimal point by the given whole number. We have, 854 × 12 = 10248 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 0.854 × 12 = 10.248 |
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| 14. |
Find the product: 5.4 × 16 |
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Answer» 5.4 × 16 Multiply the decimal without the decimal point by the given whole number. We have, 54 × 16 = 864 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 5.4 × 16 = 8.64 |
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| 15. |
Find the product: 36.73 × 48 |
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Answer» 36.73 × 48 Multiply the decimal without the decimal point by the given whole number. We have, 3673 × 48 = 176304 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 36.73 × 48 = 1763.04 |
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| 16. |
Complete the table with the help of these boxes and use decimals to write the number. |
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| 17. |
Find the product: 104.06 × 75 |
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Answer» 104.06 × 75 Multiply the decimal without the decimal point by the given whole number. We have, 10406 × 75 = 780450 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 104.06 × 75 = 780.450 |
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| 18. |
Write the following decimals in the place value table.(a) 0.29 (b) 2.08 (c) 19.60 (d) 148.32 (e) 200.812 |
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Answer» (a) `0.29 = 2/10+9/100` So, tenths will be `2` and hundredths will be `9`. (b) `2.08 = 2/1+8/100` So, ones will be `2` and hundredths will be `8`. (c) `19.60 = 1**10+9**1+6/10+0/100` So, tens will be `1`, ones will be `9`, tenths will be `6`. (d) `148.32 = 1**100+4**10+8**1+3/10+2/100` So,hundreds will be 1, tens will be `4`, ones will be `8`, tenths will be `3`, hundredths will be `2`. (e) `200.812 = 2**100+8/10+1/100+2/1000` So,hundreds will be `2`, tenths will be `8`, hundredths will be `1`, thousandths will be `2`. Please refer to video for place value table. |
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| 19. |
Find the product: 0.06 × 1000 |
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Answer» 0.06 × 1000 On multiplying a decimal by 1000, the decimal point is shifted to the right by three places. We have, 0.06 × 1000 = 60 |
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| 20. |
Evaluate: (0.7)2 |
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Answer» (0.7)2 The above question can be written as, (0.7) × (0.7) First we find the product of, = (7) × (7) = 49 Sum of decimal places in the given decimals = 2 So, the product must contain 2 places of decimals ∴ (0.7)2 = 0.49 |
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| 21. |
Evaluate: (0.3)3 |
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Answer» (0.3)3 The above question can be written as, (0.3) × (0.3) × (0.3) First we find the product of, = (3) × (3) = 9 = (9) × (3) = 27 Sum of decimal places in the given decimals = 3 So, the product must contain 2 places of decimals ∴ (0.3)3 = 0.027 |
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| 22. |
Evaluate: (0.11)2 |
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Answer» (0.11)2 The above question can be written as, (0.11) × (0.11) First we find the product of, = (11) × (11) = 121 Sum of decimal places in the given decimals = 4 So, the product must contain 2 places of decimals ∴ (0.11)2 = 0.0121 |
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| 23. |
Evaluate: (1.5)3 |
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Answer» (1.5)3 The above question can be written as, (1.5) × (1.5) × (1.5) First we find the product of, = (15) × (15) = 225 = (225) × (15) = 3375 Sum of decimal places in the given decimals = 3 So, the product must contain 2 places of decimals ∴ (1.5)3 = 3.375 |
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| 24. |
Write each of the following as decimals.(a) 20 + 9 + 4/10 + 1/100(b) 137 + 5/100(c) 7/10 + 6/100 + 4/1000(d) 23 + 2/10 + 6/1000(e) 700 + 20 + 5 + 9/100 |
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Answer» (a) 20 + 9 + 4/10 + 1/100 = 29 + 0.04 + 0.01 = 29.41 (b) 137 + 5/100 = 137 + 0.05 = 137.05 (c) 7/10 + 6/100 + 4/1000 0.7 + 0.06 + 0.004 = 0.764 (d) 23 + 2/10 + 6/1000 = 23 + 0.2 + 0.006 = 23.206 (e) 700 + 20 + 5 + 9/100 = 725 + 0.09 = 725.09 |
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| 25. |
Between Which two numbers in tenths place on the number line does each of the given number lie?(a) 0.06(b) 0.45(c) 0.19(d) 0.66(e) 0.92(f) 0.57 |
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Answer» (a) 0.06 = 0 and 0.6 (b) 0.45 = 0.4 and 0.5 (c) 0.19 = 0.1 and 0.2 (d) 0.66 = 0.6 and 0.7 (e) 0.92 = 0.9 and 1.0 (f) 0.57 = 0.5 and 0.6 |
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| 26. |
Divide: 0.3 by 100 |
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Answer» 0.3 by 100 On dividing a decimal by 100, the decimal point is shifted to the left by two places. We have, = 0.3 ÷ 100 = (0.3/100) = 0.003 |
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| 27. |
A bus can cover 62.5 km in one hour. How much distance can it cover in 18 hours? |
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Answer» A bus can cover distance in one hour is = 62.5 km Total distance it covers in 18 hours = (62.5 × 18) First we find the product of, = (625 × 18) = 11250 The product contain 1 places of decimals ∴ Total distance covered by bus in 18 hours is 1125 |
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| 28. |
Divide: 2 by 1000 |
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Answer» 2 by 1000 On dividing a decimal by 1000, the decimal point is shifted to the left by three places. We have, = 2 ÷ 1000 = (2/1000) = 0.0002 |
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| 29. |
Divide: 0.8 by 1000 |
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Answer» 0.8 by 1000 On dividing a decimal by 1000, the decimal point is shifted to the left by three places. We have, = 0.8 ÷ 1000 = (0.8/1000) = 0.0008 |
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| 30. |
Divide: 4.7 by 100 |
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Answer» 4.7 by 100 On dividing a decimal by 100, the decimal point is shifted to the left by two places. We have, = 4.7 ÷ 100 = (4.7/100) = 0.047 |
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| 31. |
Divide: 354.16 by 1000 |
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Answer» 354.16 by 1000 On dividing a decimal by 1000, the decimal point is shifted to the left by three places. We have, = 354.16 ÷ 1000 = (354.16/1000) = 0.35416 |
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| 32. |
Divide: 4.6 by 1000 |
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Answer» 4.6 by 1000 On dividing a decimal by 1000, the decimal point is shifted to the left by three places. We have, = 4.6 ÷ 1000 = (4.6/1000) = 0.0046 |
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| 33. |
Write each of the following decimals in words.(a) 0.03(b) 1.20(c) 108.56(d) 10.07(e) 0.032(f) 5.008 |
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Answer» (a) 0.03 = Zero point zero three (b) 1.20 = One point two zero (c) 108.56 = One hundred eight point five six (d) 10.07 = Ten point zero seven (e) 0.032 = Zero point zero three two (f) 5.008 = Five point zero zero eight |
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| 34. |
Divide: 131.6 by 10 |
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Answer» 131.6 by 10 On dividing a decimal by 10, the decimal point is shifted to the left by one place. We have, = 131.6 ÷ 10 = (131.6/10) = 13.16 |
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| 35. |
Find the product: 0.00125 × 327 |
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Answer» 0.00125 × 327 Multiply the decimal without the decimal point by the given whole number. We have, 125 × 327 = 40875 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 0.00125 × 327 = 0.40875 |
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| 36. |
Divide: 23.4 by 100 |
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Answer» 23.4 by 100 On dividing a decimal by 100, the decimal point is shifted to the left by two places. We have, = 23.4 ÷ 100 = (23.4/100) = 0.234 |
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| 37. |
Find the product: 6.032 × 124 |
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Answer» 6.032 × 124 Multiply the decimal without the decimal point by the given whole number. We have, 6.032 × 124 = 747968 Mark the decimal point in the product to have as many places of decimal as are there are in the given decimal. ∴ 6.032 × 124 = 747.968 |
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| 38. |
Divide: 38.9 by 1000 |
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Answer» 38.9 by 1000 On dividing a decimal by 1000, the decimal point is shifted to the left by three places. We have, = 38.9 ÷ 1000 = (38.9/1000) = 0.0389 |
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| 39. |
Divide: 32.56 by 10 |
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Answer» 32.56 by 10 On dividing a decimal by 10, the decimal point is shifted to the left by one place. We have, = 32.56 ÷ 10 = (32.56/10) = 3.256 |
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| 40. |
Divide: 137.2 by 100 |
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Answer» 137.2 by 100 On dividing a decimal by 100, the decimal point is shifted to the left by two places. We have, = 137.2 ÷ 100 = (137.2/100) = 1.372 |
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| 41. |
Divide: 4.38 by 10 |
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Answer» 4.38 by 10 On dividing a decimal by 10, the decimal point is shifted to the left by one place. We have, = 4.38 ÷ 10 = (4.38/10) = 0.438 |
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| 42. |
Find the product: 0.032 × 10 |
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Answer» 0.032 × 10 On multiplying a decimal by 10, the decimal point is shifted to the right by one place. We have, 0.032 × 10 = 0.32 |
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| 43. |
Find the product: 2.4 × 1.5 × 2.5 |
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Answer» 2.4 × 1.5 × 2.5 First we find the product of 24 × 15 × 25 Now, =24 × 15 = 360 = 360 × 25= 9000 Sum of decimal places in the given decimals = 3 So, the product must contain 3 places of decimals. ∴ 2.4 × 1.5 × 2.5 = 9 |
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| 44. |
Find the product: 0.7 × 10 |
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Answer» 0.7 × 10 On multiplying a decimal by 10, the decimal point is shifted to the right by one place. We have, 0.7 × 10 = 7 |
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| 45. |
Find the product: 2.397 × 100 |
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Answer» 2.397 × 100 On multiplying a decimal by 100, the decimal point is shifted to the right by two places. We have, 2.397 × 100 = 239.7 |
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| 46. |
Divide: 0.34 by 10 |
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Answer» 0.34 by 10 On dividing a decimal by 10, the decimal point is shifted to the left by one place. We have, = 0.34 ÷ 10 = (0.34/10) = 0.034 |
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| 47. |
Divide: 0.062 by 10 |
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Answer» (vi) 0.062 by 10 On dividing a decimal by 10, the decimal point is shifted to the left by one place. We have, = 0.062 ÷ 10 = (0.062/10) = 0.0062 |
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| 48. |
Find the product: 13 × 1.3 × 0.13 |
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Answer» 13 × 1.3 × 0.13 First we find the product of 13 × 13 × 13 Now, =13 × 13 = 169 = 169 × 13= 2197 Sum of decimal places in the given decimals = 3 So, the product must contain 3 places of decimals. ∴ 13 × 1.3 × 0.13 = 2.197 |
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| 49. |
Find the product: 6.83 × 100 |
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Answer» 6.83 × 100 On multiplying a decimal by 100, the decimal point is shifted to the right by two places. We have, 6.83 × 100 = 683 |
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| 50. |
Divide: 0.08 by 10 |
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Answer» 0.08 by 10 On dividing a decimal by 10, the decimal point is shifted to the left by one place. We have, = 0.08 ÷ 10 = (0.08/10) = 0.008 |
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