Question
Pipe ‘A’ can fill a tank in 30 hours while pipe
‘B’ can empty it in 40 hours. They were operated on alternate hours starting with pipe ‘A’. Find the percentage of tank filled this way in 54 hours.Solution
Let the total capacity of tank be 120 units Efficiency of pipe ‘A’ = 120/30 = 4 units/hour Efficiency of pipe ‘B’ = 120/40 = 3 units/hour Tank filled in 2 hours = (4 – 3) = 1 units Therefore, tank filled in (2 × 27 = 54 hours) = 1 × 27 = 27 units Required percentage of tank filled = (27/120) × 100 = 22.5%
Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
When a number is divided by 8, the remainder is half of the divisor and the quotient is 3 more than twice the product of the divisor and remainder. Find...
What is the value of (2² + 3²) × (4³ + 5³) ÷ (6⁴)?
How many factors of 23 × 33 × 54 ×91× is divisible by 50 but not by 100?
Find the least 4-digit number which is when divided by 16, 20, and 24 leaves a remainder of 9 in each case.
Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
What is the smallest number that is divisible by both 18 and 24 and is greater than 200?
Find the least 4-digit number which is when divided by 21, 28, and 36 leaves a remainder of 11 in each case.
What are the last two digits of 56283 x 141283 × 125254?
What will be the remainder when 577 + 87 is divided by 13?
Relevant for Exams:
