(01) A goldsmith has two qualities of gold, one of 12 carates and another of 16 carates purity. In what proportion should he mix both to male an ornament of 15 carates purity? Given: `Purity of type of gold 1 = 12 carates Purity of type of gold 2 = 16 carates Purity …
(1) Use the figure to name:(a) Five points(b) A line(c) Four Rays(d) Five Line Segments (2) Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given. (3) Use the figure to name (4) How many lines can pass through (a) one given point? (b) two …
(11) Write five pairs of prime numbers less than 20 whose sum is divisible by 5. Sol: Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19 2 + 3 = 5 (divisible by 5) 2 + 13 = 15 (divisible by 5) 3 + 7 = 10 (divisible by …
(06) Express the following as the sum of two odd primes. (a) 44 = 3 + 41 (Both 3 and 41 are odd primes)(b) 36 = 5 + 31 (Both 5 and 31 are odd primes)(c) 24 = 5 + 19 (Both 5 and 19 are odd primes)(d) 18 = 5 + 13 (Both 5 …
(1) What is the sum of any two a) Odd numbers? b) Even numbers? a) Sum of any two odd numbers is always an even number.Example: 1 + 3 = 4, 3 + 5 = 8, 5 + 7 = 12All final obtained numbers (4, 8 and 12) are even numbers. b) Sum of any …
Question 01 The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is: Given: average of 11 numbers = 10.9 Sum of 11 numbers/ 11 = 10.9 (average = sum of data/ number of data)Sum …
Question 1 Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank? Sol: Pipe A can fill the tank in 15 minutesPart of the …
Question 01 Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Given:Pipe A can fill the whole tank in 20 minsSo, Part of the tank filled by Pipe A in 1 minute …
Question 01 Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of man and a woman? 20 women can complete the work in 16 days.So, 1 woman can complete the work in (20 × 16) = 320 days.Thus, …