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- Question
- There are three taps of diameter 1 cm, 4/3 cm and 2 cm, respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill the tank alone in 61 min. If all the taps are opened simultaneously, how long will the tank take to be filled?
Options- A. 44 min
- B. 45 min
- C. 155/18
- D. None of the above
- Correct Answer
- None of the above
ExplanationTime taken to fill the tank by the tap having 2 cm diameter = 61 min
? Time taken to fill the tank by the tap having 1 cm diameter
= 61 x (2/1)2 = 244 min
Similarly, time taken to fill the tank by the tap having 4/3 cm diameter
= 61 x [(2 x 3)/4]2 = 61 x 9/4 = 549/4 min.
? Part of the tank filled by all the three pipes in 1 min
= 1/61 + 1/244 + 1/(549/4)
= (36 + 9 + 16)/2196 = 61/2196 = 1/36
Hence, required time taken = 36 min - 1. ( x2/3)- 3/4 is equivalent to :
Options- A. 1 x
- B. 1 ?x
- C. 1 x2
- D. 1 x- 2 Discuss
- 2. The probability of getting a composite number when a six-faced unbiased die is tossed, is
Options- A. 1/4
- B. 1/3
- C. 1/2
- D. 1 Discuss
- 3. Ajay takes some loan from Rashmi at the rate of 5% per annum andd after 2 yr, Ajay gave back ? 8800 to Rashmi and this way paid his whole loan. Find the interest by Ajay.
Options- A. ? 825
- B. ? 975
- C. ? 800
- D. ? 850 Discuss
- 4. 582, 605, 588, 611, 634, 617, 600
Options- A. 634
- B. 611
- C. 605
- D. 600 Discuss
- 5. In the given figure, AM ? BC and AN is the bisector of ?A. What is the measure of ?MAN.
Options- A. 17.5°
- B. 15.5°
- C. 20°
- D. 25° Discuss
- 6. If the cost of 1/4 th of kg is Rs. 0·60, then what is the cost of 200 gm ?
Options- A. 42 paise
- B. 48 paise
- C. 40 paise
- D. 50 paise Discuss
- 7. 10, 26, 74, 218, 654, 1946, 5834
Options- A. 26
- B. 74
- C. 218
- D. 654
- E. 1946 Discuss
- 8. One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?
Options- A. 12 m2
- B. 15 m2
- C. 20 m 2
- D. 4?5 m2 Discuss
- 9. Convert 0.2 7 into a vulgar fraction.
Options- A. 5/18
- B. 5/19
- C. 7/19
- D. 3/17 Discuss
- 10. If in a hostel 45 days, food is available food is available for 50 students, for how many days will this food be sufficient for 75 students?
Options- A. 25 days
- B. 28 days
- C. 30 days
- D. 40 days Discuss
More questions
Correct Answer: 1 ?x
Explanation:
Correct Answer: 1/3
Explanation:
n(S) = 6, n(E) = (4, 6) = 2
? P(E) = 2/6 = 1/3
Correct Answer: ? 800
Explanation:
Here, A = ? 8800, T =2 yr, R = 5%
We know
SI = ART/(100 + RT) = (8800 x 5 x 2) / (100 + 5 x 2)
= (8800 x 10) / 110
= ? 800
Correct Answer: 634
Explanation:
Correct Answer: 17.5°
Explanation:
Correct Answer: 48 paise
Explanation:
Correct Answer: 654
Explanation:
3rd term = (2nd term) x 3 - 4 = 26 x 3 - 4 = 74.
4th term = (3th term) x 3 - 4 = 74 x 3 - 4 = 218.
5th term = (4th term) x 3 - 4 = 218 x 3 - 4 = 650.
∴ 5th term must be 650 instead of 654.
Correct Answer: 12 m2
Explanation:
Other side = ?5 2 - 42
= ? 9
=3 m
So The area of the rectangular field = 4 x 3
= 12 m2
Correct Answer: 5/18
Explanation:
0.27 = (27 - 2)/90 = 25/90 = 5/18
Correct Answer: 30 days
Explanation:
For 50 students, food is sufficient for 45 days
? For 1 student, food is sufficient for 45 x 50 days
and for 75 students, food is sufficient for (45 x 50)/75 days. i,e., for 30 days.
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