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

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

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Answer: Option D

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

287 . $i f x = 10^{14}, y = 10^{0.7}$ and $x^{z} = y^{3}$ then is the value of $z$

A. $0.5$
B. $0.66$
C. $1.5$
D. $2$

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Answer: Option C

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

288 . $i f x = \frac{\sqrt{3} - 2}{\sqrt{2} + 1}$ 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

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

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

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

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Answer: Option C

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

290 . $i f 2 x - 1 \geq - 3, t h e n -$

A. $x \leq - 2$
B. $x \geq - 2$
C. $x \leq - 1$
D. $x \geq - 1$

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Answer: Option C

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

291 . $i f a^{2} + b^{2} = 45$ 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

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

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

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

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Answer: Option C

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

293 . $i f \sec θ + \tan θ = x, t h e n \tan θ i s -$

A. $(x^{2} + 1) / x$
B. $(x^{2} - 1) / x$
C. $(x^{2} + 1) / 2 x$
D. $(x^{2} - 1) / 2 x$

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Answer: Option D

Explanation:

Step - by - step explanation:

Given : sec θ + tan θ = x …….. (1)

By using an identity , sec² θ - tan² θ = 1

(sec θ + tan θ)(sec θ - tan θ) = 1

[By using identity , a² - b² = (a + b) (a - b) ]

x (sec θ - tan θ) = 1

(sec θ - tan θ) = 1/x ……….(2)

On Subtracting eq 1 & 2,

sec θ + tan θ - (sec θ - tan θ) = (x - 1/x)

sec θ + tan θ - sec θ + tan θ) = (x - 1/x)

2 tan θ = (x - 1/x)

2 tan θ = (x² - 1)/x

tan θ = (x² - 1)/2x

Hence, the value of tan θ is (x² - 1)/2x.

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. The number of total hotel rooms has increased
B. The number of tourist has increased from 1990 to 2010
C. Average stay per tourist has increased
D. The average price of tourist services has increased
E. Average expenditure per tourist has increased

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Answer: Option A

Explanation:

To explain the trend in tourist revenue from 1990 to 2010, we need to identify the option that does not provide a plausible explanation. Let's analyze the options provided:

A. The number of total hotel rooms has increased.
This can be a possible explanation for the increase in tourist revenue. If the number of hotel rooms has increased, it suggests that there is more accommodation available for tourists, potentially attracting more visitors and generating higher revenue.

B. The number of tourists has increased from 1990 to 2010.
This can be a possible explanation for the increase in tourist revenue. If the number of tourists has increased over time, it indicates a larger customer base, which can contribute to higher revenue.

C. Average stay per tourist has increased.
This can be a possible explanation for the increase in tourist revenue. If the average stay per tourist has increased, it implies that tourists are spending more time at the hotel, which can lead to higher revenue.

D. The average price of tourist services has increased.
This can be a possible explanation for the increase in tourist revenue. If the average price of tourist services has increased, it suggests that tourists are paying more for their accommodations or other services, resulting in higher revenue.

E. Average expenditure per tourist has increased.
This can be a possible explanation for the increase in tourist revenue. If the average expenditure per tourist has increased, it indicates that tourists are spending more money on various services, contributing to higher revenue.

Based on the analysis, there is no option that does not provide a plausible explanation for the trend in tourist revenue. Each of the options can potentially explain the increase in revenu

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Bangladesh Bank - Assistant Director - 2011

A. 3200
B. 1200
C. 2400
D. 4800
E. None of them

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Answer: Option D

Explanation:

(Rahim + karim)/2 + (Karim + ripon)/2 + (Ripon + Rahim)/2 = 3800 + 4800 + 5800
So, (Rahim + Karim + Ripon)/3 = 14400/3 = 4800

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Bangladesh Bank - Assistant Director - 2012

A. 1
B. 2
C. 3
D. 5

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Answer: Option B

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প্রবেশনারি অফিসার | 02-04-2022

A. 20%
B. 18%
C. 12%
D. 6%

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Answer: Option A

Explanation:

Ans

100% =57% + 63% - Both

Both = 120 - 100 = 20%

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বাংলাদেশ ব্যাংক || সহকারী পরিচালক 28-10-2022

A. 20
B. 15
C. 10
D. 25
E. None of these

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Answer: Option C

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299 . In a class of 24 students, one half of the students like movie A & one-third like movie B and 1/4th like both. How many like neither?

A. 9
B. 10
C. 11
D. 6
E. 8

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Answer: Option B

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300 . In a club 60% members are male and 70% members are graduates. Also 50% of the graduate members are male. What percentage of the club members are female and non-graduate?

A. 15
B. 10
C. 5
D. 40
E. 20

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Answer: Option C

Explanation:

Let, X be the percentage of female non - graduate members.

According to the question.

100 = 25 + 70 + X

(Male non - Graduates) (Graduates) (Female non - Graduate)

:. X = 100 - 95 = 5

ans: 5

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294 . In 1990, Hotel Seagull earned TK. 5 million in tourist revenue. By 2000, tourist revenue doubled and in 2010, it reached the sum TK. 20 million. Each of the following , if true , may explain the trend in tourist revenue except :

295 . In 2007, the arithmetic mean of the annual incomes of Rahim and Karim was Taka 3800 . The arithmetic mean of the annual incomes of Karim and Ripon was Ripon and Rahim was TaKa5800. What is the arithmetic mean of the incomes of the three ?

297 . In a certain population group, 57% of the people have characteristics, X and 63% have characteristics Y. If every person in the group has at lest what percent of the people have both X and Y?

299 . In a class of 24 students, one half of the students like movie A & one-third like movie B and 1/4th like both. How many like neither?

300 . In a club 60% members are male and 70% members are graduates. Also 50% of the graduate members are male. What percentage of the club members are female and non-graduate?

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