3961 . Bank X pays a simple interest of TaKa 80 on principal o taka 1,000 annually . Bank y pays a simple interest of TaKa 140 on a principal of Taka 1000 annually . What is the ratio of the interest rates of Bank x to Bank y ?

A. 4:7
B. 6:8
C. 9:18
D. 2:7
E. None of them

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Answer: Option A

Explanation:

Ratio of the interest rates of Bank X to Bank Y = 80/140 = 4/7

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Bangladesh Bank - Assistant Director - 2012

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3962 . Babu hired a labor to clean his garden for Tk.35.50. He was very happy with the cleaning and paid the labor bonus in addition to the original agreed Tk.35.50. If the bonus was more than 10 percent but less than 15 percent of the contract amount, then the total amount paid must have been between Tk.

A. 40 & 42
B. 39 & 41
C. 38 & 40
D. 37 & 39
E. None of these

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Answer: Option B

Explanation:

Total amount paid if bonus was 10% = 35.50 + 10% of 35.50 = 35.50 + 3.55 = 39.05 TK

Total amount paid if bonus was 15% = 35.50 + 15% of 35.50 = 35.50 + 5.325 = 40.825 TK

So, the total amount paid must have been in between 39 TK & 41 TK.

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3963 . Babu's income is Tk.1000 more than that of Selim. Their total salary is Tk.x. What is Selim's salary?

A. x/2 - 500
B. (x + 1000)/2
C. (2x - 500)/2
D. 2x - 1000
E. None of these

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Answer: Option A

Explanation:

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3964 . a² + 3ab = 145, If a = 5, then what is the value of b²?

A. 8
B. 64
C. 16
D. 4

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Answer: Option B

Explanation:

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3965 . $a^{x} = b, y^{y} = c a n d c^{z} = a,$ 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

Explanation:

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Bangladesh Bank - Assistant Director - 2014

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

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Answer: Option A

Explanation:

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3967 . 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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3969 . 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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3972 . 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

Explanation:

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3974 . 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 ||

3961 . Bank X pays a simple interest of TaKa 80 on principal o taka 1,000 annually . Bank y pays a simple interest of TaKa 140 on a principal of Taka 1000 annually . What is the ratio of the interest rates of Bank x to Bank y ?

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3963 . Babu's income is Tk.1000 more than that of Selim. Their total salary is Tk.x. What is Selim's salary?

3964 . a² + 3ab = 145, If a = 5, then what is the value of b²?

3966 . 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?

3967 . 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 ?

3968 . 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?

3969 . 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?

3970 . At a party , everyone shook hands with everybody else. There were 66 handshakes . How many people were there in the party ?

3971 . 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?

3972 . Aslam bought 5 apples at Taka 10 and sold 4 apples at Taka 10. What will be the rate of profit?

3973 . 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

3975 . 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.

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