2356 . If x>y and y is a positive integer, which of the following cannot be true?

A. xy>0
B. x/y >0
C. y/x >1
D. x-y >0

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Answer: Option C

Explanation:

Here, x/y>1 and y is a positive integer.

For example, if x=3 and y=2 then 3/2>1

so y/x or, ⅔ can never be greater than 1

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2357 . If x>y>1 and xy=z, which of the following is true?

A. y
B. y=z
C. z=1
D. none of these

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Answer: Option A

Explanation:

xy+z=xy+xz
z=xz
xz-z=0
z(x-1)=0

Means;
either z=0
OR
x-1=0 i.e. x=1

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2358 . If xaxb = 1 and x ≠ 1 then a + b =?

B. -1
C. x
D. 1

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Answer: Option A

Explanation:

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2359 . If xy= 2 any $x y^{2} = 16$ , , what is the value of 2 x?

A. $4$
B. $2$
C. $\frac{1}{4}$
D. $8$

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Answer: Option C

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. -x
B. y
C. -y
D. (x-y)

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Answer: Option B

Explanation:

Here, x<0 or, x is negative.

Now, if y is positive, the multiply of x & y will be negative.

Therefore, xy>0 is possible only if y is negative or y<0. Then, xy = ( - ve) x ( - ve) = + ve >0.

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2361 . If xy>0 and yz<0, Which of the followings must be negative :

A. xy2z
B. xyz2
C. xyz
D. None

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Answer: Option A

Explanation:

xy> 0 অর্থাৎ xy এর গুনফল ধনাত্নক সংখ্যা
yz<0 অর্থাৎ yz এর গুনফল ঋনাত্নক সংখ্যা

এখন, ধনাত্মক সংখ্যা× ঋণাত্মক সঙখ্যা = ঋণাত্মক সংখ্যা
xy×yz

অর্থাৎ<0xy>0

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2362 . If xy>0 and yz<0, which of the followings must be negative?

A. xyz

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Answer: Option A

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বিমান বাংলাদেশ এয়ারলাইন্স লিঃ নিয়োগ পরীক্ষা-২০১৮। গ্রাউন্ড সার্ভিস অ্যাসিসটেন্ট। ১৩.১০.২০১৮

2363 . If $x \geq$ and $y \geq$ then which of the following must be true?

A. $(x + y) \leq 22$
B. $(x - y) = 22$
C. $(x + y) = 22$
D. $(x + y) \geq 22$

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Answer: Option D

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Bangladesh Bank - Assistant Director - 2010

2364 . If y $(\frac{4 x - 2}{4})$ = y and y not =0,then x=?

A. $\frac{2}{3}$
B. $\frac{4}{3}$
C. $\frac{1}{3}$
D. $\frac{3}{2}$

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Answer: Option D

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Bangladesh Bank - Assistant Director - 2010

A. x>2 or x <0
B. x>0
C. x<0
D. -2
E. None of these

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Answer: Option A

Explanation:

সমীকরণ হতে দেখা যাচ্ছে, (x−2)/x এর ধনাত্মক মানের জন্য y এর মান ধনাত্মক হবে। এখন, (x−2)/x এর মান ঋণাত্মক হবে, যদি (i) x - 2 > 0 হয় এবং x > 0 হয় অথবা (ii) x - 2 < 0 হয় এবং x < 0 হয়।[ঋণাত্মক সংখ্যা দিয়ে ভাগ করলে ধনাত্মক সংখ্যা পাওয়া যায়]।
(i) হতে x > 2 হলে y এর মান ধনাত্মক হবে
(ii) হতে x < 0 হলে y " " " "
∴ নির্ণেয় সীমা x > 2 or x< 0

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2366 . If y = (3x - 6)/x, then for what values of x, y will be positive?

A. x > 2 or x < 0
B. x > 0
C. x < 0
D. -2 < x < 2

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Answer: Option A

Explanation:

সমীকরণ হতে দেখা যাচ্ছে,
x-2/x
এর ধনাত্মক মানের জন্য y এর মান ধনাত্মক হবে। এখন,
x−2/x
এর মান ঋণাত্মক হবে, যদি (i) x - 2 > 0 হয় এবং x > 0 হয় অথবা (ii) x - 2 < 0 হয় এবং x < 0 হয়।[ঋণাত্মক সংখ্যা দিয়ে ভাগ করলে ধনাত্মক সংখ্যা পাওয়া যায়]।
(i) হতে x > 2 হলে y এর মান ধনাত্মক হবে
(ii) হতে x < 0 হলে y " " " "
∴
নির্ণেয় সীমা x > 2 or x< 0

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2367 . If y = (3x-6)/ x, then for what values of x, y will be positive?

A. x>2 or x<0
B. x>0
C. x<0
D. -2
E. None of these

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Answer: Option A

Explanation:

সমীকরণ হতে দেখা যাচ্ছে,(x-2)/x এর ধনাত্মক মানের জন্য y এর মান ধনাত্মক হবে। এখন, (x-2)/x এর মান ঋণাত্মক হবে, যদি (i) x - 2 > 0 হয় এবং x > 0 হয় অথবা (ii) x - 2 < 0 হয় এবং x < 0 হয়।[ঋণাত্মক সংখ্যা দিয়ে ভাগ করলে ধনাত্মক সংখ্যা পাওয়া যায়]।
(i) হতে x > 2 হলে y এর মান ধনাত্মক হবে
(ii) হতে x < 0 হলে y " " " "
∴ নির্ণেয় সীমা x > 2 or x< 0

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2368 . If y =2.5 x +4 and 15x-2 =40 then y=?

A. 36
B. 28
C. 22
D. 11

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Answer: Option D

Explanation:

15x - 2 = 40

⇨ 15x = 42

y = 2 .5x + 4

⇨ 6y = 15x + 24

⇨ 6y = 42 + 24 = 66

⇨ y = 11

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প্রধান প্রশাসনিক কর্মকর্তার কার্যালয় ( প্রতিরক্ষা মন্ত্রণালয়) সহকারী পরিচালক ০৫.০৪.২০১৯

A. 246
B. 369
C. 531
D. 855

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Answer: Option B

Explanation:

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2370 . If you had only one match stick and entered a COLD and DARK room, where there was an oil heater, an oil lamp and a candle , which would you light first ?

A. Oil lamp
B. Oil heater
C. Candle
D. None of these

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Answer: Option D

Explanation:

It is a simple riddle. The first thing that would be lit up was the match stick.

So the correct answer is None of these.

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2356 . If x>y and y is a positive integer, which of the following cannot be true?

2357 . If x>y>1 and xy=z, which of the following is true?

2358 . If xaxb = 1 and x ≠ 1 then a + b =?

2360 . If xy>0 and x<0, which of the following must be negative?

2361 . If xy>0 and yz<0, Which of the followings must be negative :

2362 . If xy>0 and yz<0, which of the followings must be negative?

2365 . If y = ( 3x - 6 )/x, then for what values of x, y will be positive?

2366 . If y = (3x - 6)/x, then for what values of x, y will be positive?

2367 . If y = (3x-6)/ x, then for what values of x, y will be positive?

2368 . If y =2.5 x +4 and 15x-2 =40 then y=?

2369 . If you add up the digits of a three-digit number you get 18. the ten's digit is twice the hundred's digit and the hundred's digit is 1/3 the unit's digit. What is the number?

2370 . If you had only one match stick and entered a COLD and DARK room, where there was an oil heater, an oil lamp and a candle , which would you light first ?

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