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- Question
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Options- A. 648
- B. 1800
- C. 2700
- D. 10800
- Correct Answer
- 1800
Explanation
Let the required number of bottles be xMore machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines 6 : 10 ] :: 270 : x Time (in minutes) 1 : 4 ∴ 6 x 1 x x = 10 x 4 x 270
⟹ x = (10 x 4 x 270) (6) ⟹ x = 1800.
- 1. A certain sum of money becomes double of itself in 15 years at a rate of simple interest. In how many years will it become 5 times of itself at the same rate of simple interest
Options- A. 45
- B. 37.5
- C. 75
- D. 60 Discuss
- 2. A certain sum of money triples itself in 5 years at simple interest. In how many years it will be five times?
Options- A. 5
- B. 8
- C. 10
- D. 15 Discuss
- 3. Which of the following statement(s) is/are TRUE? I. 12>163>244II. 253>324>486III. 94>153>246
Options- A. Only I and II
- B. Only I and III
- C. Only I
- D. All are true. Discuss
- 4. The simple interest on Rs. 2000 for 2 years at Rs. 75 per thousand per annum will be
Options- A. Rs.150
- B. Rs.300
- C. Rs.600
- D. Rs.400 Discuss
- 5. If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x ? y)2 + (y ? z)2 + (z ? x)2 ?
Options- A. 793
- B. 681
- C. 758
- D. 715 Discuss
- 6. A sum of Rs. 10,000 is lent partly at 6% and the remaining at 10% p.a. If the yearly interest on the average is 9.2%, the money lent at 10% is:-
Options- A. Rs. 8000
- B. Rs. 8500
- C. Rs. 5000
- D. Rs. 2000 Discuss
- 7. If (x + y)/z = 2, then what is the value of [y/(y ? z)] + [x/(x ? z)]?
Options- A. 0
- B. 1
- C. 2
- D. ? 1 Discuss
- 8. A sum becomes Rs 1392 in 2 years and Rs 1488 in 3 years at simple interest. What is the rate (in percentage) of interest per annum?
Options- A. 8
- B. 10
- C. 12
- D. 8.5 Discuss
- 9. If ? and ? are the roots of equation x2 ? 2x + 4 = 0, then what is the equation whose roots are ?3/?2 and ?3/?2?
Options- A. x2 ? 4 x + 8 = 0
- B. x2 ? 32 x + 4 = 0
- C. x2 ? 2 x + 4 = 0
- D. x2 ? 16 x + 4 = 0 Discuss
- 10. On a certain Principal if the Simple interest for two years is Rs 4800 and Compound interest for the two years is Rs 5088, what is the rate of Interest?
Options- A. 6 percent
- B. 24 percent
- C. 12 percent
- D. 18 percent Discuss
More questions
Correct Answer: 60
Correct Answer: 10
Correct Answer: Only I and II
Correct Answer: Rs.300
Correct Answer: 758
Correct Answer: Rs. 8000
Explanation:
Let the amount at 6% be x
Amount at 10% be (10000 ?x)
At 9.2 % interest, SI = 10000 X 9.2 X 1/100 = 920
Amount = 10920
? 6x/100 + (10000 ? x)10/100 = 920
? 6x ? 10x + 100000 = 92000
? 4x = 8000
? x = 2000
Money lent at 10 % = 10000 ? 2000 = 8000
Correct Answer: 2
Correct Answer: 8
Correct Answer: x2 ? 2 x + 4 = 0
Correct Answer: 12 percent
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