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- Question
- If (x - 6) is the HCF of x 2 - 2x - 24 and x 2- kx - 6, then what is the value of k?
Options- A. 3
- B. 5
- C. 6
- D. 8
- Correct Answer
- 5
ExplanationGiven that, (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 i.e., (x - 6) is a factor of both expressions.
Let f (x1) = x12 - 2x1 - 24
and f (x2) = x22 - kx2 - 6
Now f(x1) = f (x2) at (x1 = x2 = 6)
? (6)2 - 2(6) - 24 = (6)2 - k(6) - 6 [by condition]
? 0 = 30 - 6k ? 6 k = 30
? k = 5 - 1. The value of 47 / 10000 is?
Options- A. .0047
- B. .0470
- C. .00047
- D. .000047 Discuss
- 2. If 4x = 18y, then the value of ( x/y - 1) is
Options- A. 1 3
- B. 7 2
- C. 2 3
- D. 3 2 Discuss
- 3. If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options- A. 144
- B. 158
- C. 159
- D. 166 Discuss
- 4. .02 =(......?.....)%
Options- A. 20
- B. 2
- C. .02
- D. .2 Discuss
- 5. If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options- A. 45
- B. 55
- C. 60
- D. 72 Discuss
- 6. 2?63 / 11 =233
Options- A. 4
- B. 3
- C. 6
- D. 5 Discuss
- 7. When 121012 is divided by 12, the remainder is
Options- A. 0
- B. 2
- C. 3
- D. 4 Discuss
- 8. Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options- A. 18 days
- B. 21 days
- C. 3 days
- D. 6 days Discuss
- 9. 750.0003 ÷ 19.999 =?
Options- A. 49
- B. 18
- C. 22
- D. 38 Discuss
- 10. 105, 85, 60, 30, 0, - 45, - 90?
Options- A. 0
- B. 85
- C. -45
- D. 60 Discuss
More questions
Correct Answer: .0047
Explanation:
47/10000 = .0047
Correct Answer: 7 2
Correct Answer: 144
Explanation:
Correct Answer: 2
Explanation:
.02 =(2/100) x 100% =2%
Correct Answer: 60
Explanation:
Correct Answer: 5
Explanation:
Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.
Correct Answer: 4
Explanation:
121012 = 12 x 10084 + 4
? remainder = 4
Correct Answer: 18 days
Explanation:
We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days
Correct Answer: 38
Explanation:
? = 750.0003 ÷ 19.999
? ? ? 750 ÷ 20
? ? ? 375 ? 38
Correct Answer: 0
Explanation:
Subtract 20, 25, 30, 35, 40, 45 from successive numbers. So 0 is wrong.
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