Decimal Fraction problems
- 1. Which of the following are in descending order of their value?
Options- A.
1 , 2 , 3 , 4 , 5 , 6 3 5 7 5 6 7 - B.
1 , 2 , 3 , 4 , 5 , 6 3 5 5 7 6 7 - C.
1 , 2 , 3 , 4 , 5 , 6 3 5 5 6 7 7 - D.
6 , 5 , 4 , 3 , 2 , 1 7 6 5 7 5 3
Discuss
Correct Answer:
| 6 | , | 5 | , | 4 | , | 3 | , | 2 | , | 1 |
| 7 | 6 | 5 | 7 | 5 | 3 |
- 2. The rational number for recurring decimal 0.125125.... is:
Options- A.
63 487 - B.
119 993 - C.
125 999 - D. None of these Discuss
Correct Answer:
| 125 |
| 999 |
Explanation:
| 0.125125... = 0.125 = | 125 |
| 999 |
- 3.
4.2 x 4.2 - 1.9 x 1.9 is equal to: 2.3 x 6.1
Options- A. 0.5
- B. 1.0
- C. 20
- D. 22 Discuss
Correct Answer: 1.0
Explanation:
| Given Expression = | (a2 - b2) | = | (a2 - b2) | = 1. |
| (a + b)(a - b) | (a2 - b2) |
- 4. The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
Options- A. 2010
- B. 2011
- C. 2012
- D. 2013 Discuss
Correct Answer: 2011
Explanation:
Suppose commodity X will cost 40 paise more than Y after z years.
Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40
⟹ 0.25z = 0.40 + 2.10
| ⟹ z = | 2.50 | = | 250 | = 10. |
| 0.25 | 25 |
∴ X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
- 5. 617 + 6.017 + 0.617 + 6.0017 =?
Options- A. 6.2963
- B. 62.965
- C. 629.6357
- D. None of these Discuss
Correct Answer: 629.6357
Explanation:
617.00
6.017
0.617
+ 6.0017
--------
629.6357
---------
- 6.
If 144 = 14.4 , then the value of x is: 0.144 x
Options- A. 0.0144
- B. 1.44
- C. 14.4
- D. 144 Discuss
Correct Answer: 0.0144
Explanation:
| 144 | = | 14.4 |
| 0.144 | x |
| ⟹ | 144 x 1000 | = | 14.4 |
| 144 | x |
| ⟹ x = | 14.4 | = 0.0144 |
| 1000 |
- 7. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =?
Options- A. 0.172
- B. 1.72
- C. 17.2
- D. 172 Discuss
Correct Answer: 17.2
Explanation:
| 29.94 | = | 299.4 |
| 1.45 | 14.5 |
| = | ❨ | 2994 | x | 1 | ❩ | [ Here, Substitute 172 in the place of 2994/14.5 ] |
| 14.5 | 10 |
| = | 172 |
| 10 |
= 17.2
- 8. 34.95 + 240.016 + 23.98 =?
Options- A. 298.0946
- B. 298.111
- C. 298.946
- D. 299.09 Discuss
Correct Answer: 298.946
Explanation:
34.95 240.016 + 23.98 -------- 298.946 --------
- 9.
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 is: 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04
Options- A. 0.0125
- B. 0.125
- C. 0.25
- D. 0.5 Discuss
Correct Answer: 0.125
Explanation:
| Given expression = | (0.1)3 + (0.02)3 | = | 1 | = 0.125 |
| 23 [(0.1)3 + (0.02)3] | 8 |
- 10.
The fraction 101 27 in decimal for is: 100000
Options- A. .01027
- B. .10127
- C. 101.00027
- D. 101.000027 Discuss
Correct Answer: 101.00027
Explanation:
| 101 | 27 | = 101 + | 27 | = 101 + .00027 = 101.00027 |
| 100000 | 100000 |
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