3931 . $a^{x} = b, y^{y} = c a n d c^{z} = a,$ then the value of xyz

A. $0$
B. $1$
C. $\frac{1}{a b c}$
D. $a b c$

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Answer: Option B

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Bangladesh Bank - Assistant Director - 2014

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3932 . Average weight of 8 persons is 120 lb. One person leaves the group and a new person comes in and the new average is 122 lb. If the weight of the outgoing person is 110 lb, then what is the weight of the incoming person?

A. 126
B. 122
C. 118
D. 120
E. None of them

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Answer: Option A

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3933 . Average of 17 even consecutive integers is 42. What is the third integer from the beginning of the series when the integers are arranged in an increasing sequence ?

A. 28
B. 29
C. 30
D. 34
E. 36

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Answer: Option C

Explanation:

There are 8 even integers before 42 and the other 8 integers are after 42.

The third of them will be 42 - 2 - 2 - 2 - 2 - 2 - 2 = 42 - 12 = 30.

[Alternatively, The first one will be 42 - (8 x 2) = 42 - 16 = 26.

The third one will be 26 + 2 + 2 = 30]

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Bangladesh Bank - Assistant Director - 2011

A. 32
B. 34
C. 36
D. 28
E. 30

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Answer: Option E

Explanation:

There are 8 even integers before 42 and the other 8 integers are after 42.

The third of them will be 42 - 2 - 2 - 2 - 2 - 2 - 2 = 42 - 12 = 30.

[Alternatively, The first one will be 42 - (8 x 2) = 42 - 16 = 26.

The third one will be 26 + 2 + 2 = 30]

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3935 . At a stationary shop, it costs Tk. 185 for 4 gel-pen, 8 ball -point pens and 1 marker pen and Tk. 315 for 7 gel-pens, 15 ball point pens and 1 marker pen. What would be the cost of 1 gel-pen, 1 ball -point pen and 1 marker pen?

A. Tk. 45
B. Tk. 55
C. Tk.60
D. Tk.70

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Answer: Option B

Explanation:

Let,

price of gel-pen, ball-pen, and marker-pen are respectively x,y,z

First case,

4x+8y+z=185…………..(1)

2nd case,

7x+15y+z=315…………..(2)

eq. (2)-(1)>>

3x+7y=130………………..(3)

Now eq. (2)-(3)*2 >>

1x+1y+1z=315-260=55

ans 55

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বাংলাদেশ ব্যাংক || সহকারী পরিচালক 28-10-2022

A. 13
B. 11
C. 10
D. 12
E. None of them

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Answer: Option D

Explanation:

12C2 = 12 ×11 / 2 = 66 handshakes

So, total number of people in the party were 12.

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Bangladesh Bank - Assistant Director - 2012

A. 4860
B. 4875
C. 4900
D. 4960
E. none of these

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Answer: Option A

Explanation:

After 8% increase new price = tk. 5000×108/100 = Tk.5400

Again after 10% reduction on last price, new price = Tk.5400 × 90/100 = Tk.4860

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3938 . Aslam bought 5 apples at Taka 10 and sold 4 apples at Taka 10. What will be the rate of profit?

A. 25%
B. 20%
C. 30%
D. 33.33%

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Answer: Option A

Explanation:

5 টি আপেলের ক্রয়মূল্য = 10 টাকা

∴ 1 টি আপেলের ক্রয়মূল্য = 10/5 টাকা = 2 টাকা

আবার, ৪টি আপেলের বিক্রয়মূল্য = 10 টাকা

∴ 1 টি আপেলের বিক্রয়মূল্য = 10/4 = 2.5 টাকা

শতকরা লাভ = {(2.5 - 2/2) × 100 }% = 25 %

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সমন্বিত ৮ ব্যাংক | অফিসার | 21-01-2022

A. 425
B. 450
C. 475
D. None of these

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Answer: Option D

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3940 . As a salesperson, Poly can choose one of two methods of annual payment either an annual salary of Tk. 35,000 with no commission or an annual salary of Tk. 10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method?

A. Tk.100,000
B. Tk. 120,000
C. Tk. 125,000
D. Tk. 130,000

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Answer: Option C

Explanation:

35,000 = 10,000 + 0.2*x --> x = 125,000

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সমন্বিত ৯ ব্যাংক | 07-01-2022 ||

A. 12.4m
B. 12m
C. 11.5m
D. 13m

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Answer: Option A

Explanation:

Let the length carriage=x

So the length of engine=(⅔)*X

According to question,

4x+(⅔)x=86.8

We get, x=8.266

So the length of engine = (⅔)*8.266=12.4

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সমন্বিত ৫ ব্যাংক | অফিসার ক্যাশ | 25-03-2022 ||

A. Tk.150 or 8500
B. Tk.175 or 11700
C. Tk.180 or 10800
D. Tk.195 or 9000
E. Tk.200 or 12000

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Answer: Option E

Explanation:

X = 125% of y = 125y/100 = 5y/4
Or, y = 4x/5
Again,
X = 80% of z = 80z/100 = 4z/5
Or, z = 5x/4
X:y:z = x:4x/5:5x/4 = 20:16:25
Sum of ratio = 20 + 16 + 25 = 61

So, x makes a week = 20/61 × 36600 = 20×600 = 12000 tk. (ans)

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কর্ণফুলী গ্যাস ডিস্ট্রিবিউশন কোম্পানী লিমিটেড || সহকারী ব্যবস্থাপক (সাধারণ) (04-12-2021)

A. The cost of fruits and vegetables has risen sharply
B. Consumers have decreased their consumption of fruits and vegetables
C. The cost of fruits and vegetables is a major item in the COL
D. Other items that make up the COL have not significantly decreased in price
E. Food cost changes are reflected quickly in the COL

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Answer: Option B

Explanation:

The statement suggests that the cost of living index (COL) will increase due to a recent increase in the price of fruits and vegetables. Let's analyze the options provided:

A. The cost of fruits and vegetables has risen sharply.
This can be inferred from the statement. If the economist mentioned an increase in the price of fruits and vegetables, it suggests that their cost has risen.

B. Consumers have decreased their consumption of fruits and vegetables.
This cannot be directly inferred from the statement. The statement does not provide any information about consumer behavior or changes in consumption patterns. It only mentions the increase in the price of fruits and vegetables.

C. The cost of fruits and vegetables is a major item in the COL.
This can be inferred from the statement. If the economist suggests that the COL will go up due to the increase in the price of fruits and vegetables, it implies that fruits and vegetables are a significant component of the COL.

D. Other items that make up the COL have not significantly decreased in price.
This cannot be inferred from the statement. The statement focuses on the increase in the price of fruits and vegetables and does not provide any information about the price changes of other items included in the COL.

E. Food cost changes are reflected quickly in the COL.
This can be inferred from the statement. The economist suggests that the increase in the price of fruits and vegetables will lead to an increase in the COL next month, implying that changes in food costs are quickly reflected in the COL.

Therefore, the option that cannot be inferred from the statement is option B: Consumers have decreased their consumption of fruits and vegetables.

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Bangladesh Bank - Assistant Director - 2011

A. 30%
B. 44%
C. 56%
D. 64%

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Answer: Option B

Explanation:

10% of 800 = 800x10/100 = 80
Profit = (800 - 80) - 500 = 720 - 500 = 220
So, the profit % = (220x100)/500 = 44%

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Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018

A. Amira
B. Zunaira
C. Raya
D. Both Amira and Raya

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Answer: Option C

Explanation:

Amira typing speed = 720/16 = 45 words/minutes

Reya typing speed = 820/18 = 45.56 words/minutes

Zunaira typing speed = 798/19 = 42 words/minutes

So, Reya is the fatest typist (Ans)

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3932 . Average weight of 8 persons is 120 lb. One person leaves the group and a new person comes in and the new average is 122 lb. If the weight of the outgoing person is 110 lb, then what is the weight of the incoming person?

3933 . Average of 17 even consecutive integers is 42. What is the third integer from the beginning of the series when the integers are arranged in an increasing sequence ?

3934 . Average of 17 even consecutive iintegers is 42. What is the 3rd number from the begining of the series when the integers are arranged in an increasing sequence?

3935 . At a stationary shop, it costs Tk. 185 for 4 gel-pen, 8 ball -point pens and 1 marker pen and Tk. 315 for 7 gel-pens, 15 ball point pens and 1 marker pen. What would be the cost of 1 gel-pen, 1 ball -point pen and 1 marker pen?

3936 . At a party , everyone shook hands with everybody else. There were 66 handshakes . How many people were there in the party ?

3937 . At a certain store, a chair was on sale for Tk.5000. As the manager thought he could get money for the chair, he increaed its price by 8 percent. After a week the chair had not been sold. The manager then reduced the last price by 10% and the chair was sold. For how much was the chair sold?

3938 . Aslam bought 5 apples at Taka 10 and sold 4 apples at Taka 10. What will be the rate of profit?

3939 . Asif purchased a radio from a store and sold it to Rahim and make profit of 20%. After few months, Rahim sold the same radio to Fahad and incurred a loss of 15%. If Fahad bought the radio for Taka.510, what was the original price that Asif had paid to purchase the radio?

35,000 = 10,000 + 0.2*x --> x = 125,000

3941 . An engine pulls four identical carriages. The engine is 2/3 the length of a carriage and the total length of the train is 86.8m. Find the length of the engine.

3942 . An employer pays 3 workers X, Y and Z a total of Tk.610 or 36600.00 a week. X is paid 125% of the amount of Y is paid and 80% of the amount of Z is paid. How much does X make a week?

3943 . An economist was quoted as saying that the cost of living index ( COL ) will go up next month because a recent increase in the price of fruits and vegetables . Which of the following cannot be inferred from the statement ?

3944 . An article costs Tk. 500 and the marked price is mentioned as Tk. 800. What is the profit % for the seller it he sells and offers a discount of 10% on the marked price ?

3945 . Amira can type 720 words in sixteen minutes, Reya can type 820 words in 18 minutes ans Zunaira can type 798 words in 19 minutes. Whos is/are the fastest typist (s)?

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