If x is an odd integer, in which of the following equations must y be an even integer? I. xy = 5 II. x + 2y = 11 III. 2x + y = 12
A. Only I
B. Only II
C. Only III
D. both II and III
E. all of these
Explanation: i. xy = 5 শুধু Odd x Odd = Odd হয়, So y এখানে odd ii. x + 2y = 11 এখানে x odd, so 11-x even হবে। so 2y is even. কিন্তু y odd/even যেকোনটাই হতে পারে iii. 2x + y = 12 এখানে y = 12 - 2x x is odd, but 2x is even. So, 12-2x even. তার মানে y even.
Related Questions (Any University/Year)
- A sport goods store ordered an equal number of white and yellow tennis balls. The tennis ball company delivered 30 extra tennis ball, making the ratio of white balls to yellow balls 6:5, How many tennis ball did the sport goods store originally order?
- Two staions P and Q are 110 km apart on a straight track. One train starts from P at 7 AM and travels towards Q at 20 kmph . Another train starts from Q at 8 AM and travels towards P at a speed of 25 kmph . At what time will they meet?
- At a club, 70% of the members are women and 60% of the members are married. If 2/3 of the men are single, what fraction of the women is married?
- Thirty percent of the members of a swimming club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not. How many members are there in the swimming club?
- When 10 is divided by a positive integer n, the remainder is \(n - 4\) which of the following could be the value of n?
- current age ratio of father and son is 7:2 After 5 years, their age ratio will be 8:3 what is the corrent age of father?
- In the figure above area of the inscribed rectangle is 32. The circumference of the circle is-
- If X4=81 and Y2= 49, then maximum possible value for Y-X is
- Two workers, working separately but at the same speed, take hours 40 minutes to complete a particular task, How long will one of these two workers take to complete the same task alone?
- Lima is 6 years older than her sister Sharmin, and Jamal is 5 years older than Lima. If the total of their ages is 41, how old is Jamal?
- আপনার কাছে পাঁচটি আধুলি, ৮টা সিকি আছে। আর কয়টা ১০ পয়সার মুদ্রা দিলে মোট ৫ টাকা হবে?
- The sum of the ages of 4 children born at the intervals of 3 years each is 42 years. What is the age of the youngest child?
- ০.১ × ০.০১ × ০.০০১ = ?
- Sally gets paid x dollars per hour for a 40-hour work week and y dollars for each hour she works over 40 hours. How much did Sally earn if she worked 48 hours?
- 9 men went to a restaurant together. 8 of them spent Tk. 3 each over their meals and the 9th man spent Tk. 2 more than the average expenditure of all the 9 men. Find out the total money spent by the 9 men?
- Sharif ran a 2 mile race at an average speed of 8 miles per hour. If arif ran the same race at an average speed of 6 miles per hr. How many minutes longer than sharif did arif take to complete the race?
- A car completes a journey in 11 hours, the first half at 30 km/hr and the second half at 25 km/hr. Find the distance travelled?
- Reservoir A contains 450 million gallons of water more than does Reservoir B. If 100 million gallons of water were to be drained from Reseryoir A into Reservoir B, then Reservoir A would contain twice as much water as would Reservoir B. How many million gallons of water does reservoir A currently contain?
- 9 numbers are written in ascending order, middle number is average of that nine numbers. Average of five larger numbers is 68 and also average of five smaller numbers is 44. What is the sum of all nine numbers?
- The number 0.127 is how much greater than 1/8