2026 . If f(x)=2x-1 and g(x)=x², what is the value of f(g(-3))?

A. -7
B. 2
C. 9
D. 17

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Answer: Option D

Explanation:

To find the value of f(g(-3)), we'll first find g(-3) and then use the result in the function f(x).

Calculate g(-3):

g(x) = x² g(-3) = (-3)² g(-3) = 9

Now that we have g(-3) = 9, substitute this value into the function f(x):

f(x) = 2x - 1 f(g(-3)) = 2(9) - 1

Now, calculate f(g(-3)):

f(g(-3)) = 18 - 1 f(g(-3)) = 17

So, f(g(-3)) = 17.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. H and L
B. H and R
C. H and T
D. L and R

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Answer: Option B

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2028 . If Farhan were to add 5 gallons of kerosine to a tank that is already 3/4 full of kerosine , the tank would be 7/8 full. How many gallons of kerosine would the tank hold if it were full ?

A. 25 gallons
B. 40 gallons
C. 64 gallons
D. 80 gallons
E. None of these

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Answer: Option B

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2029 . If for integer x, 5

A. 32
B. 22
C. 23
D. 27

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Answer: Option C

Explanation:

Since y = x + 5y = x + 5 then x + y = x + (x + 5) = 2x + 5x + y = x + (x + 5) = 2x + 5. So, we need to find the greatest possible integer value of 2x + 52x + 5.
Multiply 5

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Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 3/16
B. 1/4
C. 1/8
D. 1/16

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Answer: Option D

Explanation:

When you flip a fair coin, there are 2 possible outcomes: heads (H) or tails (T). Each outcome is equally likely, so the probability of getting heads on a single coin flip is 1/2.

To find the probability of getting all heads when flipping four fair coins, you need to calculate the probability of getting heads on each coin flip and then multiply these probabilities together because each coin flip is independent of the others.

P(All Heads) = P(Head on Coin 1) * P(Head on Coin 2) * P(Head on Coin 3) * P(Head on Coin 4)

Since each coin flip has a 1/2 probability of landing heads:

P(All Heads) = (1/2) * (1/2) * (1/2) * (1/2) = (1/16)

So, the probability of getting all heads when flipping four fair coins is 1/16. Therefore, the answer is 1/16

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 5, 12, 13
B. 8,15, 17
C. 3, 4, 5
D. 12, 15, 18

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Answer: Option D

Explanation:

12²+15²≠18²

So, it's not possible to be a right triangle

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2032 . If $f (x) = x^{2} + \frac{1}{x - 1} - 1$ , then which of the following is correct?

A. $f (0) = \infty$
B. $f (1) = - 1$
C. $f (1) = 0$
D. $f (- 1) = - 1$

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Answer: Option D

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Bangladesh Bank - Assistant Director - 2015

A. R
B. R, S
C. S, T
D. R,S,T

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Answer: Option B

Explanation:

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2034 . If in a certain language, POPULAR is coded as QPQVMBS. Which word would be coded as GBNPVT?

A. FARMER
B. FRAMES
C. FAMOUS
D. FAMOUS

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Answer: Option C

Explanation:

Hints: Every letrer is replaced by the letrer immediately following it. using this trick, FAMOUS would be written as GBNPVT.

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2035 . If in $∆ A B C,$ AB 6cm, BC 12cm and $C A = 6 \sqrt{3} c m,$ then the measure of

A. 30°
B. 45°
C. 60°
D. 90°

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Answer: Option D

Explanation:

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

A. 10%
B. 15%
C. 20%
D. 25%

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Answer: Option C

Explanation:

let, Karim's income is 100 tk

as,Rahim's income is 25% more

so, Rahim's income is 125 tk

income of Karim will be how much less than that of Rahim by = (125 - 100)/125 * 100% = 20%

ans: 20%

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2037 . If isosceles $△$ DEF has sides of length 11.5 and 13.7 m which of the following cound be the perimeter of the trigangle?

A. $2.1$
B. $12.0$
C. $25.2$
D. $36.7$

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Answer: Option D

Explanation:

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Dhaka Bank Ltd | Probationary Officer | 05-02-2021

A. 2 hours 24 minutes
B. 6 houres 12 minutes
C. 5 houres 12 minutes
D. 6 hours 40 minutes

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Answer: Option D

Explanation:

Here, 4 hours = 240 minutes

Now, 50 workers can dig the hole in 240 minutes

So, 30 workers can dig the hole in 240×50/30 = 400 minutes = 6 hours 40 minutes

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2039 . If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

A. 5 hours 12 minutes
B. 6 hours 40 minutes
C. 2 hours 24 minutes
D. 6 hours 12 minutes

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Answer: Option B

Explanation:

Here, 4 hours = 240 minutes

Now, 50 workers can dig the hole in 240 minutes

So, 30 workers can dig the hole in 240×50/30 = 400 minutes = 6 hours 40 minutes

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2040 . If k is divisible by 2, 3 and 15, which of the following is also divisible by these numbers?

A. k + 5
B. k + 15
C. k + 20
D. k + 30

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Answer: Option D

Explanation:

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2026 . If f(x)=2x-1 and g(x)=x², what is the value of f(g(-3))?

2027 . If F and S appear on pages 30 pages 30 and 35, respectively, which one of the following is a pair of poems that must appear on pages 10 and 15, respectively?

2028 . If Farhan were to add 5 gallons of kerosine to a tank that is already 3/4 full of kerosine , the tank would be 7/8 full. How many gallons of kerosine would the tank hold if it were full ?

2029 . If for integer x, 5

2030 . If four fair coins are flipped, what is the probability that they all will come up heads?

2031 . If four triangles are constructed with sides of the length indicated below, which of the following triangles will not be a right triangle ?

2033 . If H appears on page 25 , which one of the following is a complete and accurate list of all poems any one of which could appear on page 20?

2034 . If in a certain language, POPULAR is coded as QPQVMBS. Which word would be coded as GBNPVT?

2036 . If income of Rahim is 25% more than that of Karim, Then income of Karim will be how much less than that of Rahim?

2038 . If it takes 4 hours to dig a hole by 50 workers, how long should it take to dig the same hole by 30 workers?

2039 . If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

2040 . If k is divisible by 2, 3 and 15, which of the following is also divisible by these numbers?

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