286 . If x = 5y = 16 and x = -3, then the value of y is--

A. -24
B. -8
C. -2
D. 2
E. -0.6

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Answer: Option E

Explanation:

x = 5y = 16

5y = 16

y = 16/5 = 3.2

Again, 5y = x = - 3

y = - 3/5 = - 0.6

সঠিক উত্তর অপশনে নাই

287 . If x and (x + 11)/2 are integers, which of the following must be true? i. x is odd ii. x is a multiple of 9 iii. (x + 9)/2 is an integer

A. i only
B. ii only
C. iii only
D. i and ii
E. i and iii

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Answer: Option E

Explanation:

x odd হলেই x + 11 even হবে। তাই 2 দিয়ে ভাগ যাবে।

Similarly, x + 9, 2 দ্বারা বিভাজ্য।

but x, 9 এর. multiple হতে পারে but must নয়।

288 . If x and y are consecutive positive integers, which of the following must be an even integer ?

A. x
B. y
C. xy/2
D. x/y
E. xy

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Answer: Option E

Explanation:

As x and y are consecutive positive integers. Let , x = 1 and y = 2,

As we know that, odd × even = even

so, xy = 1×2 = 2

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A. x - 1
B. x + 1
C. x + 2
D. 2x + 2

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Answer: Option D

Explanation:

290 . If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, What is the average of x, y and z in terms of m?

A. m+6
B. m+7
C. 2m+14
D. 2m+14

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Answer: Option B

Explanation:

291 . if y/x = 1/3 and x + 2y = 10, then x is--/যদি y/x = 1/3 এবং x + 2y = 10 হয় তাহলে x = ?

A. 2
B. 3
C. 4
D. 6

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Answer: Option D

Explanation:

Y/X = 1/3

বা, x = 3

এখন, x + 2y = 10

3y + 2y = 10

5y = 10

y = 10/8 = 2

x = 3 × 2 = 6

292 . $i f \frac{1}{x} > 1,$ which of the following must be true? ..

A. $1 < x^{2}$
B. $\frac{1}{x^{2}} > 2$
C. $x^{2} > 1$
D. $\frac{1}{x^{2}} < 1$

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Answer: Option D

Explanation:

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293 . $i f {(2 x - 1)}^{2}$ = 100 then which one of the following could equal x? ..

A. -11/2
B. -9/2
C. 11/2
D. 13/2

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Answer: Option C

Explanation:

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294 . $i f (89^{2})$ is added to the square of a number, the answer so obtained is 16292. what is the $\frac{1}{26}$ of that number ..

A. 5.65
B. 2.70
C. 3.50
D. 6.66

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Answer: Option C

Explanation:

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295 . $i f a^{x} = b a n d b^{y} = a$ then find the value of xy. ..

A. 1
C. a
D. y

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Answer: Option A

Explanation:

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296 . $i f x + \frac{1}{x} = 2, t h e n x^{3} + \frac{1}{x^{3}} e q u a l t o -$ ..

A. 64
B. 14
C. 8
D. 2

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Answer: Option D

Explanation:

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297 . $i f x = \frac{\sqrt{3} - 2}{\sqrt{2} + 1}$ then which of the following equals to x - 4 ? ..

A. $- 2 \sqrt{2} + \sqrt{6} - \sqrt{3} - 2$
B. $- 2 \sqrt{2} + \sqrt{6} - \sqrt{3} + 2$
C. $\sqrt{3} - 2$
D. $\sqrt{3} + 2$

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Answer: Option A

Explanation:

Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

298 . $i f x = a + \frac{1}{a} a n d y = a - \frac{1}{a} t h e n x^{4} + y^{4} - 2 x^{2} y^{2} = ?$ ..

A. 4
B. 8
C. 16
D. 20

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Answer: Option C

Explanation:

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023) | | 2023

299 . $i f a^{2} + b^{2} = 45$ and ab = 18, $f i n d \frac{1}{a} + \frac{1}{b}$ ..

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

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Answer: Option B

Explanation:

বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023) || 2023

300 . $I f a^{x} = b^{y},$ $b y c a n d c^{z} = a,$ $w h a t i s t h e v a l u e v o f x y z ?$ ..

A. $0$
B. $a b c$
C. $1$
D. $2$

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Answer: Option C

Explanation:

Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

286 . If x = 5y = 16 and x = -3, then the value of y is--

287 . If x and (x + 11)/2 are integers, which of the following must be true? i. x is odd ii. x is a multiple of 9 iii. (x + 9)/2 is an integer

288 . If x and y are consecutive positive integers, which of the following must be an even integer ?

289 . If x is an integer, then which of the following is always an even integer?

290 . If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, What is the average of x, y and z in terms of m?

291 . if y/x = 1/3 and x + 2y = 10, then x is--/যদি y/x = 1/3 এবং x + 2y = 10 হয় তাহলে x = ?

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