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- Question
- In a geometric progression, the sum of the first and the last terms is 66 and the product of the second and the last second terms is 128. Determine the first term of the series?
Options- A. 64
- B. 64 or 2
- C. 2 or 32
- D. 32
- Correct Answer
- 64 or 2
ExplanationLet a be the first term and and r be the common ratio of the GP. From the given problem,
a + arn - 1 = 66 ...(i)
Also, ar x arn - 2 = 128 ? a2rn - 1 = 128 ... (ii)
From Eq. (ii),
a.arn - 1 = 128
arn - 1 = 128/ a
On substitution this in Eq.(i), we get
a + 128/a = 66
a2 - 66a + 128 = 0
a = [-b ± ?b2 - 4ac] /2a
= 66 ± ?662 - 4 x 128 x 1)/2 = 64 or 2 - 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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