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- Question
Which of the following is equal to 3.14 x 106?
Options- A. 314
- B. 3140
- C. 3140000
- D. None of these
- Correct Answer
- 3140000
Explanation3.14 x 106 = 3.14 x 1000000 = 3140000.
Decimal Fraction problems
Search Results
- 1.
The value of (0.96)3 - (0.1)3 is: (0.96)2 + 0.096 + (0.1)2
Options- A. 0.86
- B. 0.95
- C. 0.97
- D. 1.06 Discuss
Correct Answer: 0.86
Explanation:
Given expression = (0.96)3 - (0.1)3 (0.96)2 + (0.96 x 0.1) + (0.1)2 = ❨ a3 - b3 ❩ a2 + ab + b2 = (a - b) = (0.96 - 0.1) = 0.86 - 2. 4.036 divided by 0.04 gives :
Options- A. 1.009
- B. 10.09
- C. 100.9
- D. None of these Discuss
Correct Answer: 100.9
Explanation:
4.036 = 403.6 = 100.9 0.04 4 - 3. What is the sum of two consecutive even numbers, the difference of whose squares is 84?
Options- A. 34
- B. 38
- C. 42
- D. 46 Discuss
Correct Answer: 42
Explanation:
Let the numbers be x and x + 2.Then, (x + 2)2 - x2 = 84
⟹ 4x + 4 = 84
⟹ 4x = 80
⟹ x = 20.
∴ The required sum = x + (x + 2) = 2x + 2 = 42.
- 4. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
Options- A. 3
- B. 10
- C. 17
- D. 20 Discuss
Correct Answer: 3
Explanation:
Let the number be x.Then, x + 17 = 60 x ⟹ x2 + 17x - 60 = 0
⟹ (x + 20)(x - 3) = 0
⟹ x = 3.
- 5. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Options- A. 20
- B. 30
- C. 40
- D. None of these Discuss
Correct Answer: 20
Explanation:
Let the numbers be a, b and c.Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
⟹ (a + b + c) = √400 = 20.
- 6. 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.
- 7.
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) - 8. 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.
- 9.
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 - 10.
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.
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