Discussion
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- Question
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
- Correct Answer
- 0.125
ExplanationGiven expression = (0.1)3 + (0.02)3 = 1 = 0.125 23 [(0.1)3 + (0.02)3] 8 - 1. 34.95 + 240.016 + 23.98 =?
Options- A. 298.0946
- B. 298.111
- C. 298.946
- D. 299.09 Discuss
- 2. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =?
Options- A. 0.172
- B. 1.72
- C. 17.2
- D. 172 Discuss
- 3.
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
- 4. 617 + 6.017 + 0.617 + 6.0017 =?
Options- A. 6.2963
- B. 62.965
- C. 629.6357
- D. None of these Discuss
- 5. 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
- 6.
The fraction 101 27 in decimal for is: 100000
Options- A. .01027
- B. .10127
- C. 101.00027
- D. 101.000027 Discuss
- 7. The cube root of .000216 is:
Options- A. .6
- B. .06
- C. 77
- D. 87 Discuss
- 8. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
Options- A. 57
- B. 67
- C. 77
- D. 87 Discuss
- 9.
If x = √3 + 1 and y = √3 - 1 , then the value of (x2 + y2) is: √3 - 1 √3 + 1
Options- A. 10
- B. 13
- C. 14
- D. 15 Discuss
- 10. How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8?
Options- A. 1
- B. 2
- C. 3
- D. None of these Discuss
Decimal Fraction problems
Search Results
Correct Answer: 298.946
Explanation:
34.95 240.016 + 23.98 -------- 298.946 --------
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
Correct Answer: 0.0144
Explanation:
| 144 | = | 14.4 |
| 0.144 | x |
| ⟹ | 144 x 1000 | = | 14.4 |
| 144 | x |
| ⟹ x = | 14.4 | = 0.0144 |
| 1000 |
Correct Answer: 629.6357
Explanation:
617.00
6.017
0.617
+ 6.0017
--------
629.6357
---------
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.
Correct Answer: 101.00027
Explanation:
| 101 | 27 | = 101 + | 27 | = 101 + .00027 = 101.00027 |
| 100000 | 100000 |
Correct Answer: .06
Explanation:
| (.000216)1/3 | = | ❨ | 216 | ❩ | 1/3 |
| 106 |
| = | ❨ | 6 x 6 x 6 | ❩ | 1/3 |
| 102 x 102 x 102 |
| = | 6 |
| 102 |
| = | 6 |
| 100 |
= 0.06
Correct Answer: 77
Explanation:
Money collected = (59.29 x 100) paise = 5929 paise.
∴ Number of members = √5929 = 77.
Correct Answer: 14
Explanation:
| x = | (√3 + 1) | x | (√3 + 1) | = | (√3 + 1)2 | = | 3 + 1 + 2√3 | = 2 + √3. |
| (√3 - 1) | (√3 + 1) | (3 - 1) | 2 |
| y = | (√3 - 1) | x | (√3 - 1) | = | (√3 - 1)2 | = | 3 + 1 - 2√3 | = 2 - √3. |
| (√3 + 1) | (√3 - 1) | (3 - 1) | 2 |
∴ x2 + y2 = (2 + √3)2 + (2 - √3)2
= 2(4 + 3)
= 14
Correct Answer: None of these
Explanation:
A number ending in 8 can never be a perfect square.
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