Subject
Quantitative Aptitude
Topic
Number
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
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
ক)
Only Iখ)
Only IIগ)
Only IIIঘ)
both II and IIIঙ)
all of theseExplanation
*xy = 5: এখানে y even বা odd যেকোনোটি হতে পারে। উদাহরণস্বরূপ, x = 1 এবং y = 5 হতে পারে। *x + 2y = 11: এখানে y even বা odd যেকোনোটি হতে পারে। উদাহরণস্বরূপ, যদি x = 3 হয়, তাহলে 2y = 8, অর্থাৎ y = 4 (even)। আবার যদি x = 5 হয়, তাহলে 2y = 6, অর্থাৎ y = 3 (odd)। *2x + y = 12: যেহেতু x odd, 2x সবসময় even হবে। 12 even সংখ্যা, তাই y-ও অবশ্যই even হতে হবে (even + even = even)। *সুতরাং, শুধুমাত্র III নং সমীকরণে y অবশ্যই even integer হবে। *সঠিক উত্তর: (C) শুধুমাত্র IIIRelated questions
The average of four consecutive odd positive integers is alwaysIf n and p are both odd numbers, which of the following must be an even number?If x is not a negative number, what is the maximum possible value of 2-3x?If x and y are both odd integers, which of the following numbers must be an even integer?If m is an even integer and n is an odd integer and both are positive numbers, which of the following must be even?If x and y are positive odd integers and z is an even integer, which one of the following statements cannot be true?If a and b are integers such that a+b=5, which of the following must be true?I. The product of a and b is odd.II. If a is odd then b must be even.III. If a is negative, then b must be positive.If x is a positive even number, then each of the following is odd except: