Question
The HCF of two numbers is 33 and their sum is 594. Find
the total number of such possible pairs of numbers.Solution
Let the two numbers be 33a and 33b (33 is the H.C.F.) 33a +33b = 594 33(a + b) = 594 Â a+b = 594/33 a+b=18 Now, a and b must be co-primes Pairs = (1, 17), (5, 13), and (7, 11)Â Number of pairs are 3
- A set of 50 observations has an average of 63. Find the new average when each observation is increased 8 times.
The average weight of 4 persons is 40 kg. The heaviest person’s weight is 26 kg more than the lightest person’s weight. If the average weight of the...
A candidate just passed by getting 60 answers correct by attempting 132 of the total questions. Find the total number of questions in the examination if...
The average of first two numbers and last two numbers of a set of six numbers is 70 and 45 respectively. If the overall average of all six numbers is 65...
Average run scored by a batsman in first ‘x’ matches is 70. In next 12 matches he scored runs with an average of 90 so that his overa...
Deepak spends an average of Rs. 520 on Sundays and Rs. 340 on the remaining days. Find his average spending in a 30-day month starting with Sunday.
The average expenditure of a man for the first 4 month is Rs.4000 and for the next 8 months is Rs.6000. If he saves 11000 in that year then find his ave...
Average age of a class of 28 students is 10 years. Average age of the class is increased by 12 months if the age of the teacher is included. Find...
Ashish bought 25 notebooks for Rs.1230 from shop A and 12 notebooks for Rs.805 from shop B. What is the average price he paid per book?
The average weight of 25 students in a classroom was found to be 52 kg. Later, it was discovered that one student’s weight was taken as 59 kg instead ...
Relevant for Exams:
