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- Question
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
Options- A.
5 11 - B.
6 11 - C.
7 11 - D.
8 11 - Correct Answer
-
6 11
ExplanationPart filled by (A + B + C) in 3 minutes = 3 ❨ 1 + 1 + 1 ❩ = ❨ 3 x 11 ❩ = 11 . 30 20 10 60 20 Part filled by C in 3 minutes = 3 . 10 ∴ Required ratio = ❨ 3 x 20 ❩ = 6 . 10 11 11
More questions
- 1. How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
Options- A. 36 kg
- B. 42 kg
- C. 54 kg
- D. 63 kg Discuss
Correct Answer: 63 kg
Explanation:
S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.∴ C.P. of 1 kg of mixture = Rs. ❨ 100 x 9.24 ❩ = Rs. 8.40 110 By the rule of allilation, we have:
C.P. of 1 kg sugar of 1st kind Cost of 1 kg sugar of 2nd kind Rs. 9 Mean Price
Rs. 8.40Rs. 7 1.40 0.60 ∴ Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27
⟹ x = ❨ 7 x 27 ❩ = 63 kg. 3 - 2. 39.8% of 400 +?% of 350 = 230
Options- A. 15
- B. 25
- C. 18
- D. 20 Discuss
Correct Answer: 20
Explanation:
39.8% of 400 + ?% of 350 = 230
? 159.2 + (350 x ?)/100 = 230
&Arr; ? = (230 - 159.2) x 100/360 = 20.23 = 20- 3. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
Options- A. 0
- B. 2
- C. 4
- D. 6 Discuss
Correct Answer: 4
Explanation:
3 x - y = 27 = 3 3 ⟺ x - y = 3 ....(i)3x + y = 243 = 35 ⟺ x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
- 4. The day before the day before yesterday is three days after Saturday. What day is it today?
Options- A. Tuesday
- B. Wednesday
- C. Thursday
- D. Friday Discuss
Correct Answer: Friday
Explanation:
Three days after Saturday is Tuesday and Tuesday is a day before a day before yesterday So, yesterday is Tuesday.
Hence, today is Friday.- 5. Rakesh credits 15% of his salary in his fixed deposit account and spend 30% of the remaining amount on groceries. If the cash in hand is Rs. 2380, What is this salary?
Options- A. 35000
- B. 4000
- C. 45000
- D. 5000 Discuss
Correct Answer: 4000
Explanation:
Let salary be Rs. A, then A - 15 % of A - 30% of 85% of A = 2380
? A - 15A/100 - (30 x 85 x A)/(100 x 100) = 2380
? 200A - 30A - 51A = 2380 x 200
? 119A = 2380 x 200
? A = (2380 x 200)/199 = 4000- 6. If a number is decreased by 4 and divided by 6 the result is 9. What would be the result if 3 is subtracted from the number and then it is divided by 5?
Options- A. 9 2/ 5
- B. 10 1/ 5
- C. 11 2/ 5
- D. 11 Discuss
Correct Answer: 11
Explanation:
Let the number be x.
? (x - 4)/6 = 9
? x = 58
Again (x - 3)/5 = (58 - 3)/5 = 11- 7. (1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) =?
Options- A. 0.10
- B. 0.1
- C. 1
- D. 0.01 Discuss
Correct Answer: 1
Explanation:
Given Expression = (1.04)2 + 1.04 x 0.04 + (0.04)2 / (1.04)3 - (0.04)3
= (a2 + ab + b2) / (a3 - b3)
= (a2 + ab + b2) / [(a-b) (a2 + ab + b2)]
= 1 / (a - b)
= 1/ (1.04 - 0.04)
= 1- 8. (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) =?
Options- A. 0.14
- B. 0.8
- C. 15.51
- D. 1 Discuss
Correct Answer: 0.14
Explanation:
Given expression
= [(0.47)3 - (0.33)3] / [(0.47)2 + 0.47 x 0.33 + (0.33)2]
= [a3 - b3 ] / [ a2 + ab + b2]
= [(a-b) (a2 + ab + b2)] / [(a2 + ab + b2)]
= (a - b)
= (0.47 - 0.33)
= 0.14- 9. A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 25 % of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each person now working 9 hours a day.
Options- A. 60
- B. 58
- C. 12
- D. 56 Discuss
Correct Answer: 56
Explanation:
According to question ,
- 10. In a class of 100 students, the number of students passed in English only is 46, in Maths only is 46, in Commerce only is 58. The number who passed in English and Maths is 16, Maths and Commerce is 24 and English and Commerce is 26, and the number who passed in all the subjects is 7. Find the number of the students who failed in all the subjects.
Options- A. 9
- B. 8
- C. 10
- D. None of these Discuss
Correct Answer: 9
Explanation:
No. of students who passed in one or more subjects = 11 + 9 + 13 + 17 + 15 + 19 + 7 = 91.
No. of students who failed in all the subjects = 100 ? 91 = 9.
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