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Home ‣ Aptitude ‣ Pipes and Cistern See What Others Are Saying!
- Question
- A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min, but a third pipe can empty it in 6 min. The first two pipes are kept open 5 min in the beginning and then the third pipe is also opened.Time taken to empty the cistern is?
Options- A. 38 min
- B. 22 min
- C. 42 min
- D. 45 min
- Correct Answer
- 45 min
ExplanationLet the number of minutes taken to empty the cistern be T min.
According to the questions,
T/6 - (T + 5)/12 - (T + 5)/15 = 0
? T/6 - T/12 - 5/12 - T/12 - T/12 - T/15 = 0
? T/6 - T/12 - T/15 = 5/12 + 5/15
? (10T - 5T - 4T)/ 60 = (25 + 20)/60
? T/60 = 45/60
? T = 45 min. - 1. The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of Rs. 500.What is the new profit percentage if instead of two successive discount the markup price was further increased successively two times by the same percentage?
Options- A. 259.2%
- B. 59.2%
- C. 159.2%
- D. can't be determined Discuss
- 2. A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
Options- A. 24.52 litres
- B. 29.63 litres
- C. 28.21 litres
- D. 25.14 litres Discuss
- 3. What value should come in place of the question mark(?) in the following question?
? +1046 -398 - 69 = 999
Options- A. 2502
- B. 2512
- C. 2472
- D. 514 Discuss
- 4. The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is?
Options- A. 20
- B. 23
- C. 169
- D. None of these Discuss
- 5. What least number must be subtracted from 13601 to get a number exactly divisible by 87?
Options- A. 49
- B. 23
- C. 29
- D. 31 Discuss
- 6. What is th unit digit in ( 3 65+6 59+7 71 )?
Options- A. 6
- B. 4
- C. 2
- D. 1 Discuss
- 7. It is given that ( 2 32 + 1 ) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
Options- A. ( 216 + 1 )
- B. ( 216 - 1 )
- C. 7 x 213
- D. ( 296 + 1 ) Discuss
- 8. A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5?
Options- A. 9
- B. 3
- C. 1
- D. 4 Discuss
- 9. A two-digit number is seven times the sum of its digits, If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits, Find the number?
Options- A. 42
- B. 24
- C. 48
- D. Data adequate Discuss
- 10. Prathiba printers prepares diaries expecting to earn a profit of 40% by selling on the marked price. But during transportation 8% diaries were got spoiled due to at random rain and 32% could be sold only at 75% of the cost price. Thus the remaining 60% diaries could be sold at the expected price. What is the net profit or loss in the whole consignment?
Options- A. 6%
- B. 10%
- C. 8%
- D. can't be determined Discuss
More questions
Correct Answer: 159.2%
Explanation:
Cost price (CP) = 500
Selling Price (SP) = 576
Markup price (MP) = 900
Again SP = MP [( 1 - r/100)2] [r - rate of discount in %]
? 576 = 900 (1 - r/100)2
? 24/30 = (1 - r/100)
? r = 20%
Again, new SP = MP (1 + r/100)2
= 900 (1 + 20/100)2
= 1296
New, profit percentage = [(SP - CP)/CP] X 100
= [( 1296 - 500 ) / 500 ] x 100 = 159.2%
Correct Answer: 29.63 litres
Explanation:
Given that container has 50 litres of milk.
After replacing 8 litres of milk with water for three times, milk contained in the container is:
= 29.63 litres.
Correct Answer: 2512
Explanation:
Let x - 1046 - 398 - 69 = 999
Then x = 999 + 1046 + 398 + 69
= 2512.
Correct Answer: 23
Explanation:
Let the number be a and b .
Then, (a+b)2 = a2 + b2 + 2ab
= 289 + 2 x 120
= 289 + 240
= 529
? a+b = ?529 = 23
Correct Answer: 29
Explanation:
On dividing 13601 by 86, we get 29 as remainder
? Required number to be subtracted = 29.
Correct Answer: 4
Explanation:
Unit digit in 34 = 1
? Unit digit in ( 34 )16 = 1
? Unit digit in 365 = 3
Unit digit in 659 = 6
Unit digit in 771 = 3
? Required unit digit = Unit digit in ( 3 x 6 x 3 )
= Unit digit in 54
= 4
Correct Answer: ( 296 + 1 )
Explanation:
Let 232 = x and let ( 232 + 1 ) = ( x + 1 )
( 296 + 1 ) = ( x3 + 1 ) = ( x + 1 )( x2 -x + 1 )
Which is clearly divisible by n as ( x + 1 ) is divisible by n.
Correct Answer: 4
Explanation:
The number is of the form (5x + 3 ) where x is an integer
? [(5x + 3)2] / 5 = ( 25x2 + 30x + 9) / 5
= 25x2/ 5 + 30x/5 + (5 +4)/5
? The remainder is 4.
Correct Answer: 42
Explanation:
Let the two-digit number be 10x + y
10x + y = 7(x + y)
? x = 2y ...(i)
10(x +2 ) + (y + 2) = 6(x + y + 4) + 4
or 10x + y + 22 = 6x + 6y + 28
? 4x - 5y = 6 ...(ii)
Solving equations (i) and (ii)
We get x = 4 and y = 2
Correct Answer: 8%
Explanation:
Let the numbers of diaries (produced) be 100 and the cost price of a diary be Rs. 1 then
Total cost incurred = 100 x 1 = 100
Total sale price = 32 x 0.75 + 60 x 1.4 = 108
Therefore profit = Rs. 8
Thus there is 8% profit.
Note : Marked price (i.e. expected) = 40% above the cost price.
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