1801 . If 12a + 3b =1 and 7b-2a=9, what is the average of a and b?

A. 0.1
B. 0.5
C. 1
D. 2.5

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Answer: Option B

Explanation:

12a + 3b = 1........... (1)

7b - 2a = 9........... (2)

(1) + (2) =

10a + 10b = 10

a + b = 10/10 = 1

a + b/2 = 1/2

a + b/2 = 0.5

a এবং b এর গড় হলো 0.5

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1802 . If 13 = 13w/(1 - w), then (2w)2 =

A. 1/4
B. 1/2
C. 1
D. 2

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Answer: Option D

Explanation:

13 = 13w / (1 - w)

1 = w/(1 - w)

1 - w = w

2w = 1

(2w)w = 1 × 2 = 2

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1803 . If 13 =13w / ( 1 - w ), then ( 2w )2 =

A. 1/4
B. 1/2
C. 1
D. 2
E. None of these

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Answer: Option D

Explanation:

13 = 13w / (1 - w)

1 = w/(1 - w)

1 - w = w

2w = 1

(2w)w = 1 × 2 = 2

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Bangladesh Bank - Assistant Director - 2009

A. 120 minutes
B. 168 minutes
C. 180 minutes
D. 2.8 hours
E. None of these

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Answer: Option B

Explanation:

Given, 14 farmers can plough a field in 3hours = (3 * 60) = 180 minutes

let, 15 farmers can do the same job in x minutes

ATQ,

14 * 180 = 15 * x

or, x = (14 * 180)/ 15

∴ x = 168

ans: 168 minutes

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1805 . If 15% of 40 is greater than 25% of a number by 2, then the number is :

A. 12
B. 16
C. 24
D. 32

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Answer: Option B

Explanation:

Hints : 15 % of 40 = 25 % of number + 2

15 × 40/100 - 2 = 25/100 × number

6 - 2 = 25/100 × number

number = 4 × 100/ 25 = 16

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1806 . If 15 men working at same rate can make 27 baskets in an hour, how many baskets would 45 workers make in 40 minutes?

A. 27
B. 54
C. 35
D. 40

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Answer: Option B

Explanation:

15 men working 60 minutes(1hr) can make 27 baskets

45 men working for 40 minutes can make = 27×45×40 / (15×60) = 54

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1807 . If 15 men working at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men manufacture in 40 minutes?

A. 37
B. 54
C. 35
D. 40

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Answer: Option B

Explanation:

27 baskets / 15 men = 1.8
So, 1 man can make 1.8 baskets in an hour.

1.8 baskets / 60 minutes = 0.03
So, 1 man can make 0.03 baskets in a minute.

0.03 baskets × 40 minutes = 1.2
So, 1 man can make 1.2 baskets in 40 minutes.

1.2 baskets × 45 men = 54
S0 45 men can make 54 baskets in 40 minutes

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1808 . If 15 women working at the same rate can produce 25 dolls in an hour, how many dolls would 20 women make in 45 minutes?

A. 20
B. 25
C. 30
D. 50

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Answer: Option B

Explanation:

15 Women in 60 minutes can produce = 25 dolls

1 Women in 60 minutes can produce = 25/15 dolls

1 Women in 1 minutes can produce =25/60×15 dolls

So, 20 Women in 45 minutes can produce = 25×20×45/60×15 = 25 dolls (Ans)

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1809 . If 150 is increased by 60% and then decreased by x percent the result is 192. What is x ?

A. 20
B. 30
C. 32
D. 25
E. None

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Answer: Option A

Explanation:

Since at first increase by 60% so the number is 150 + 150 × 60/100 = 240

Again, since decrease by x% then we get 240 - 240 × x/100 = 192

= ) 240 - 12x/5 = 192

= ) 12x/5 = 240 - 192

= ) x = 48×5/12

So x = 20

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Probationary Officer | 31.03.2017 ||

A. 20
B. 30
C. 32
D. 25

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Answer: Option A

Explanation:

Since at first increase by 60% so the number is 150 + 150 × 60/100 = 240

Again, since decrease by x% then we get 240 - 240 × x/100 = 192

= ) 240 - 12x/5 = 192

= ) 12x/5 = 240 - 192

= ) x = 48×5/12

So x = 20

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1811 . If ${(\frac{1}{5})}^{3 y} = 0.008,$ then find ${(0.25)}^{y} = ?$

A. $0.75$
B. $- 0.75$
C. $0.25$
D. $0.0$

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Answer: Option C

Explanation:

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Probashi Kallyan Bank-Officer (Cash)-25-09-2021

A. -2
C. 1/2
D. 3

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Answer: Option A

Explanation:

16(4a)=1

or, 4a=1/16

or, 4a=4-2

or, a=-2

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1813 . If 18 identical machines required 40 days to complete a job, how many fewer days would have been required to do the job if 6 additional machines of the same type had been used from the beginning?

A. 10
B. 13.33
C. 16
D. 26.66

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Answer: Option A

Explanation:

18 machines complete a job in 40 days

So, 18 + 6 = 24 machines complete the job in 40 x 18 / 24 = 30 days

Number of days saved = 40 - 30 = 10 days

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1814 . If 194 means AID, BEFF means what?

A. 2254
B. 2256
C. 2846
D. None of these

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Answer: Option D

Explanation:

Hints: AID = 194 ; যেখানে A = 1, I = 9 এবং D = 4 সুতরাং BEEF = 2566 ; যেখানে B = 2, E = 5, এবং F = 6। উল্লেখিত অপশনে সঠিক উত্তর নাই

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1815 . If $\frac{1}{y} = 3 \frac{1}{2}$ then $\frac{1}{y + 2} = ?$

A. $\frac{1}{16}$
B. $\frac{2}{7}$
C. $\frac{2}{11}$
D. $\frac{7}{16}$

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Answer: Option D

Explanation:

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সমন্বিত ৬ ব্যাংক ও আর্থিক প্রতিষ্ঠান - সহকারী প্রোগ্রামার - 18.03.2021

1801 . If 12a + 3b =1 and 7b-2a=9, what is the average of a and b?

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1802 . If 13 = 13w/(1 - w), then (2w)2 =

1803 . If 13 =13w / ( 1 - w ), then ( 2w )2 =

1804 . If 14 farmers can plough a field in three hours, how long will it take 15 farmers to do the same job?

1805 . If 15% of 40 is greater than 25% of a number by 2, then the number is :

1806 . If 15 men working at same rate can make 27 baskets in an hour, how many baskets would 45 workers make in 40 minutes?

1807 . If 15 men working at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men manufacture in 40 minutes?

1808 . If 15 women working at the same rate can produce 25 dolls in an hour, how many dolls would 20 women make in 45 minutes?

1809 . If 150 is increased by 60% and then decreased by x percent the result is 192. What is x ?

1810 . If 150 is increased by 60% and then decreased by x percent the result is 192 What is X?

1812 . If 16(4a) = 1, find the value of a.

1813 . If 18 identical machines required 40 days to complete a job, how many fewer days would have been required to do the job if 6 additional machines of the same type had been used from the beginning?

1814 . If 194 means AID, BEFF means what?

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