2881 . Simple interest on a certain sum at the rate of 4.5% p.a. for 4 years and 6 years differs by BDT 216. The sum is-

A. BDT 2100
B. BDT 2400
C. BDT 1800
D. None of these

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Answer: Option B

Explanation:

Let the principal amount be P.

According to the question, the simple interest for 4 years and 6 years at 4.5% per annum are:

SI(4 years) = (P × 4 × 4.5) / 100 = 0.18P

SI(6 years) = (P × 6 × 4.5) / 100 = 0.27P

The difference between the two interests is given as BDT 216. Therefore, we can write:

SI(6 years) - SI(4 years) = 0.27P - 0.18P = 0.09P = 216

Solving for P, we get:

P = 216 / 0.09 = 2400

Hence, the principal amount is BDT 2400.

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2882 . sin 1260° = ?

B. 1/2
C. -1/2
D. √3/2

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Answer: Option A

Explanation:

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2883 . Since 1965 Mr. Ajmal has gained 2 pounds every year. In 1995 he was 40% heavier than what he was in 1965. What percent of his weight in 2010 was his weight in 1995?

A. 80%
B. 85%
C. 87.5%
D. 90%
E. None of these

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Answer: Option C

Explanation:

1965 to 1995 or 30 yrs, - - - - Gains 30*2 = 60 lb

1995 to 2010 or 15 yrs, - - - - Gains 15*2 = 30 lb

Now, 40% is equivalent to 60 lb

Then, 100% is equivalent to 60*100/40 = 150 lb

That is, in 1965 his weight was 150 lb;

So, in 1995 = 150 + 60 = 210 lb;

And in 2010 = 210 + 30 = 240 lb

Required percent = (210/240)*100 = 87.5% (Ans.)

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2884 . Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

A. 4
B. 10
C. 15
D. 16
E. None of these

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Answer: Option C

Explanation:

The L.C.M of 2, 4, 6, 8, 10, 12 = 120

So, after 120 seconds later they toll together.

Now,

At 120 seconds toll it 1 times

At 1 seconds toll it 1/120 times

At 1800 seconds toll it ( 1800/120) = 15 times

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2885 . Six consecutive whole numbers are given. The sum of the first three numbers is 27. What is the sum of the last three numbers?

A. 36
B. 33
C. 32
D. 30
E. None of these

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Answer: Option A

Explanation:

Let,

Numbers are n, n + 1, n + 2

ATQ,

n + n + 1 + n + 2 = 27

Or, 3n + 3 = 27

Or, 3n = 24

Or, n = 8

So, the numbers are - 8,9,10

Now, the last 3 consecutive numbers are 11,12,13

Sum of them 11 + 12 + 13 = 36

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2886 . Six consecutive whole numbers are given; the sum of the first three numbers is 27. What is the sum of the last three numbers?

A. 36
B. 33
C. 32
D. 30

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Answer: Option A

Explanation:

Let,

Numbers are n, n + 1, n + 2

ATQ,

n + n + 1 + n + 2 = 27

Or, 3n + 3 = 27

Or, 3n = 24

Or, n = 8

So, the numbers are - 8,9,10

Now, the last 3 consecutive numbers are 11,12,13

Sum of them 11 + 12 + 13 = 36

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2887 . Six men can earn as much as eight women ,two women can earn earn as much as three boys and four boys can earn as much as five girls.If a girl can earn Tk. 50 a day , what amount can a man earn in a day?

A. TK.115
B. Tk.125
C. Tk.135
D. Tk.150

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Answer: Option B

Explanation:

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2888 . Six years ago, Hena was 1/4th of the age she will be after 12 years from now. How old is she now?

A. 6 years
B. 8 years
C. 12 years
D. 24 years

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Answer: Option C

Explanation:

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

2889 . Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P?

A. $\frac{11}{p} + 6$
B. $\frac{p}{11} + 6$
C. $17 - \frac{p}{6}$
D. $\frac{17}{p}$

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Answer: Option A

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

A. 30
B. 40
C. 35
D. 45

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Answer: Option C

Explanation:

Let the present age of son and his father be S and 5S respectively. Six years from now, their ages will be (S + 6) and (5S + 6) respectively.

So, S + 6 + 5S + 6 = 54

or, 6S + 12 = 54

or, 6S = 54 - 12

or, 6S = 42

or, S = 42/6 = 7

So, present age of the father = 5 × 7 = 35 years

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2891 . Sixty-five percent of a number is 21 less than; four-fifth of that number.What is the number?

A. 140
B. 150
C. 160
D. None of these

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Answer: Option A

Explanation:

Hints: Let, the number is x

65% of x is = 65x/ 100 = 13x / 20

According to condition

13x/20 = 4x/5 - 21

4x/5 - 13x/20 = 21

(16x - 13x) /20 = 21

3x = 420

x = 140

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Bangladesh Bank - Assistant Director - 2014

A. x = 16
B. x = -16
C. x = 8
D. x = 5

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Answer: Option C

Explanation:

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2893 . Solve the equation $2^{2 x + 1} + 4^{x} = 48$

A. $1$
B. $2$
C. $3$
D. $4$

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Answer: Option B

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Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

A. 20%
B. 30%
C. 40%
D. 50%

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Answer: Option D

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2895 . Some marbles are divided between two brothers, Lipu and Tipu in a ratio of 15.8 and the difference in the number of marbles they get is 14. How many marbles did Tipu get?

A. 14
B. 5
C. 10
D. 16
E. None of these

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Answer: Option D

Explanation:

15x - 8x = 14

x = 2

8x = 16

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2881 . Simple interest on a certain sum at the rate of 4.5% p.a. for 4 years and 6 years differs by BDT 216. The sum is-

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2882 . sin 1260° = ?

2883 . Since 1965 Mr. Ajmal has gained 2 pounds every year. In 1995 he was 40% heavier than what he was in 1965. What percent of his weight in 2010 was his weight in 1995?

2884 . Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

2885 . Six consecutive whole numbers are given. The sum of the first three numbers is 27. What is the sum of the last three numbers?

2886 . Six consecutive whole numbers are given; the sum of the first three numbers is 27. What is the sum of the last three numbers?

2887 . Six men can earn as much as eight women ,two women can earn earn as much as three boys and four boys can earn as much as five girls.If a girl can earn Tk. 50 a day , what amount can a man earn in a day?

2888 . Six years ago, Hena was 1/4th of the age she will be after 12 years from now. How old is she now?

2890 . Six years from now the combined age of father and son will be 54. If currently son is 5 times younger than his father then what is the present age of the father?

2891 . Sixty-five percent of a number is 21 less than; four-fifth of that number.What is the number?

2892 . Slove for x if 16x - 4 = 68 + 7x

2894 . Some mangoes are brought at a rate of 3 per taka and them sold them at the rate of 2 per taka. what will be the percentage of profit.

2895 . Some marbles are divided between two brothers, Lipu and Tipu in a ratio of 15.8 and the difference in the number of marbles they get is 14. How many marbles did Tipu get?

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