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- Question
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
Options- A. 0.02
- B. 0.2
- C. 0.04
- D. 0.4
- Correct Answer
- 0.04
ExplanationGiven expression = (11.98)2 + (0.02)2 + 11.98 x x.For the given expression to be a perfect square, we must have
11.98 x x = 2 x 11.98 x 0.02 or x = 0.04
Decimal Fraction problems
Search Results
- 1.
The value of 489.1375 x 0.0483 x 1.956 is closest to: 0.0873 x 92.581 x 99.749
Options- A. 0.006
- B. 0.06
- C. 0.6
- D. 6 Discuss
Correct Answer: 0.06
Explanation:
489.1375 x 0.0483 x 1.956 ≈ 489 x 0.05 x 2 0.0873 x 92.581 x 99.749 0.09 x 93 x 100 = 489 9 x 93 x 10 = 163 x 1 279 10 = 0.58 10 = 0.058 ≈ 0.06.
- 2.
5 x 1.6 - 2 x 1.4 =? 1.3
Options- A. 0.4
- B. 1.2
- C. 1.4
- D. 4 Discuss
Correct Answer: 4
Explanation:
Given Expression = 8 - 2.8 = 5.2 = 52 = 4. 1.3 1.3 13 - 3. 3889 + 12.952 -? = 3854.002
Options- A. 47.095
- B. 47.752
- C. 47.932
- D. 47.95 Discuss
Correct Answer: 47.95
Explanation:
Let 3889 + 12.952 - x = 3854.002.Then x = (3889 + 12.952) - 3854.002
= 3901.952 - 3854.002
= 47.95.
- 4.
Evaluate : (2.39)2 - (1.61)2 2.39 - 1.61
Options- A. 2
- B. 4
- C. 6
- D. 8 Discuss
Correct Answer: 4
Explanation:
Given Expression = a2 - b2 = (a + b)(a - b) = (a + b) = (2.39 + 1.61) = 4. a - b (a - b) - 5. How many digits will be there to the right of the decimal point in the product of 95.75 and .02554?
Options- A. 5
- B. 6
- C. 7
- D. None of these Discuss
Correct Answer: 6
Explanation:
Sum of decimal places = 7.Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.
- 6. When 0.232323..... is converted into a fraction, then the result is:
Options- A.
1 5 - B.
2 9 - C.
23 99 - D.
23 100
Discuss
Correct Answer:23 99
Explanation:
0.232323... = 0.23 = 23 99 - 7. The least among the following is:
Options- A. 0.2
- B. 1 ? 0.2
- C. 0.2
- D. (0.2)2 Discuss
Correct Answer: (0.2)2
Explanation:
1 ? 0.2 = 1 = 10 = 5; 0.2 2 0.2 = 0.222...;
(0.2)2 = 0.04.
0.04 < 0.2 < 0.22....<5.
Since 0.04 is the least, so (0.2)2 is the least.
- 8. What decimal of an hour is a second?
Options- A. .0025
- B. .0256
- C. .00027
- D. .000126 Discuss
Correct Answer: .00027
Explanation:
Required decimal = 1 = 1 = .00027 60 x 60 3600 - 9.
0.0203 x 2.92 =? 0.0073 x 14.5 x 0.7
Options- A. 0.8
- B. 1.45
- C. 2.40
- D. 3.25 Discuss
Correct Answer: 0.8
Explanation:
0.0203 x 2.92 = 203 x 292 = 4 = 0.8 0.0073 x 14.5 x 0.7 73 x 145 x 7 5 - 10. 0.002 x 0.5 =?
Options- A. 0.0001
- B. 0.001
- C. 0.01
- D. 0.1 Discuss
Correct Answer: 0.001
Explanation:
2 x 5 = 10.Sum of decimal places = 4
∴ 0.002 x 0.5 = 0.001
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