3811 . 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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3812 . In a class of 150 students 90 students have taken Finance(F), 75 students have taken Banking(B) and 55 students have taken Economics(E). 10 students have taken F and E but not B, 15 students have taken F and B but not E and 25 students have taken B and E but not F. Find the number of students who have taken all the three courses.

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

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Answer: Option C

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3813 . 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?

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. 1
B. 2
C. 3
D. 5

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Answer: Option B

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প্রবেশনারি অফিসার | 02-04-2022

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. 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

3817 . $i f \sec θ + \tan θ = x, t h e n \tan θ i s -$

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

3818 . $I f a^{x} = b^{y},$ $b y c a n d c^{z} = a,$ $w h a t i s t h e v a l u e v o f x y z ?$

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

3819 . $i f a^{2} + b^{2} = 45$ 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

3820 . $i f 2 x - 1 \geq - 3, t h e n -$

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

3821 . $i f x = a + \frac{1}{a} a n d y = a - \frac{1}{a} t h e n x^{4} + y^{4} - 2 x^{2} y^{2} = ?$

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

3822 . $i f x = \frac{\sqrt{3} - 2}{\sqrt{2} + 1}$ 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

3823 . $i f x = 10^{14}, y = 10^{0.7}$ 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

3824 . $i f x + \frac{1}{x} = 2, t h e n x^{3} + \frac{1}{x^{3}} e q u a l t o -$

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

3825 . $i f a^{x} = b a n d b^{y} = a$ then find the value of xy.

A. 1
C. a
D. y

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Answer: Option A

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

3811 . 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?

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3813 . 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?

3815 . 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 ?

3816 . 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 :

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