2296 . In the figure below ACDH and BCEF are rectangles, AH = 3, GH = 3, GF = 3 and FE = 6, what is the area of BCDG?

A. 5
B. 10
C. 15
D. 18

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Answer: Option D

Explanation:

2297 . In the figure below ∠R and ∠S are formed by two inteesecting lines. If ∠R measures 53°, what is the measure of ∠S?

A. 35°
B. 55°
C. 110°
D. 125°

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Answer: Option B

Explanation:

2298 . In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

A. 6.25
B. 6.5
C. 6.75
D. 7

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Answer: Option A

Explanation:

Hints: 282 - 10 × 3.2 / 40 = 6.25

2299 . In the first week of the year, nancy saved tk. 1 In each of the next 51 weeks, she saved Tk. 1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?

A. Tk. 1326
B. Tk. 1352
C. Tk. 1378
D. Tk. 2652

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Answer: Option C

Explanation:

2300 . In the following series, what comes next ? 1, A, 9, I, 17, --

A. E
B. Q
C. U
D. T
E. Z

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Answer: Option B

Explanation:

Here 1 + 8 = 9 and 9 + 8 = 17

A is the 1st alpahabet , I is the no 9th alphabet and q is the 17 no alphabet. so the answer is q

2301 . In the following series, what comes next? 1, A, 9, I, 17, --

A. E
B. Q
C. U
D. T

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Answer: Option B

Explanation:

2302 . In the formula e = hf . if e is doubled and f is halved , what happens to the value of h?

A. h remains tehe same
B. h is doubled
C. h is divided by 4
D. h is multiplied by 4
E. h is halved .

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Answer: Option D

Explanation:

2e = h. f/2

h = 4e / f

আগে, e = hf

h = e/f

অর্থাৎ, h এর সাথে 4 গুন হবে।

2303 . In the given series, which number will come next: 91, 86 , 76, 61 , ______?

A. 31
B. 36
C. 41
D. 46

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Answer: Option C

Explanation:

ধারা : 91 , 86, 76, 61

ব্যবধান : - 5, - 10, - 15, - 20

পরবর্তী সংখ্যা = 61 - 20 = 41

2304 . In the last week of a month, a car dealer sold 12 cars. A new sales promotion came out the first week of the next month and he sold 19 cars that week. what was the percent increase in sales from the last week of the previous month compared to the first of the next month?

A. 58%
B. 119%
C. 158%
D. 200%
E. None of these

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Answer: Option A

Explanation:

Percentage increase in sales = (19 - 12) / 12 x 100% = 58.33%

2305 . In the triangle ABC, angle B is equal to angle C and D is a point on BC.Which of the following is true ?

A. AB>AC
B. AB
C. AC
D. AC>AD

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Answer: Option D

Explanation:

এখানে B কোণ C কোণের সমান তাই AB  =  AC। সুতরাং ABC ত্রিভুজটি একটি সমদ্বিবাহু ত্রিভুজ। তাই AB  >>AC এবং AB <<  AC সম্ভব নয়। আবার AC ⊲⊲ AD তাই অবশ্যই AC>> AD সত্য।

2306 . In three more years, Sabrina's grandfather will be six times as old as Sabrina was last year. When Sabrina's present age is added to her grandfather's present age, the total is 68. How old is Sabrina now?

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

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Answer: Option B

Explanation:

Let's denote Sabrina's current age as "S" years and her grandfather's current age as "G" years.

From the given information:

In three more years, Sabrina's grandfather will be six times as old as Sabrina was last year. This can be expressed as: (G + 3) = 6(S - 1)

When Sabrina's present age is added to her grandfather's present age, the total is 68. This can be expressed as: S + G = 68

Now, we have a system of two equations with two variables:

Equation 1: G + 3 = 6(S - 1) Equation 2: S + G = 68

Let's solve this system of equations using substitution. First, solve Equation 1 for G:

G = 6(S - 1) - 3

Now, substitute this expression for G into Equation 2:

S + (6(S - 1) - 3) = 68

Now, simplify and solve for S:

S + 6S - 6 - 3 = 68

7S - 9 = 68

7S = 68 + 9 7S = 77

S = 77 / 7 S = 11

So, Sabrina is currently 11 years old.

2307 . In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is:

A. 6 cm
B. 8 cm
C. 9 cm
D. 10 cm

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Answer: Option B

Explanation:

Given:

In △PQR, OR = 2 × PQ -2

And PR = PQ + 10

Formula Used:

The perimeter of a triangle is the sum of all sides of the triangle

Calculation:

Let the side PQ be x cm

So,

বা, QR = 2 × PQ -2

বা, QR = 2x -2 cm

And PR is

বা, PR = PQ + 10

বা, PR = x + 10 cm

The perimetre of the △PQR is

বা, 2x - 2 + x + x + 10 = 40

বা, 4x = 32 - 8

বা, x = 32 - 8

বা, x = 8 cm

বা, PQ = 8 cm

বা, QR = 2 × 8 -2 = 14 cm

বা, PR = 8 +10 = 18 cm

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. 3:7
B. 5:7
C. 7:3
D. 7:5

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Answer: Option C

Explanation:

Let the amount of pulse of price Tk. 15 = x
and the amount of pulse of price Tk. 20 = y
Then the total amount of mixture = ( x + y) kg
total cost of mixture = 15x + 20y
but the price per kg of the mixture = Tk. 16.50
so, total price of (x + y) kg = 16.50(x + y)
According to question;
16.50(x + y) = 15x + 20 y
or, 16.50x + 16.50y = 15x + 20y
or, 1.50x = 3.50y
or, x/y = 3.50/1.50 = 0.7/0.3 = 7/3
so, the required ratio is 7 : 3

2309 . In what ratio must a grocer mix two varieties of tea worth TK. 60 a kg and TK. 65 a kg so that by selling the mixture at TK. 68.20 a kg he may gain 10% ?

A. 3:2
B. 3:4
C. 3:5
D. 4:5

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Answer: Option A

Explanation:

Hints : Let he mixes the tea in ratio x:y

Therefore the cist price = 60x + 65y

selling price = 68.20(x + y)

we know,

profit = sells price - cost price

10% of (60x + 65y) = 68.20(x + y) - (60x + 65y)

10(60x + 65y) / 100 = 68.20x + 68.20y - 60x - 65y

6x + 6.5y = 820x + 3.20 y

2.2x = 3.3 y

x/y = 3/2

x:y = 3:2

2310 . In what ratio must a grocer mix two varieties of tea Worth Tk. 60 per kg and Tk. 65 per kg so that by selling the mixture at Tk. 68.20 per kg he may gain 10% ?

A. 3:2
B. 3:4
C. 3:5
D. 4:5
E. None

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Answer: Option A

Explanation:

2296 . In the figure below ACDH and BCEF are rectangles, AH = 3, GH = 3, GF = 3 and FE = 6, what is the area of BCDG?

2297 . In the figure below ∠R and ∠S are formed by two inteesecting lines. If ∠R measures 53°, what is the measure of ∠S?

2298 . In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

2299 . In the first week of the year, nancy saved tk. 1 In each of the next 51 weeks, she saved Tk. 1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?

2300 . In the following series, what comes next ? 1, A, 9, I, 17, --

2301 . In the following series, what comes next? 1, A, 9, I, 17, --

2302 . In the formula e = hf . if e is doubled and f is halved , what happens to the value of h?

2303 . In the given series, which number will come next: 91, 86 , 76, 61 , ______?

2304 . In the last week of a month, a car dealer sold 12 cars. A new sales promotion came out the first week of the next month and he sold 19 cars that week. what was the percent increase in sales from the last week of the previous month compared to the first of the next month?

2305 . In the triangle ABC, angle B is equal to angle C and D is a point on BC.Which of the following is true ?

2306 . In three more years, Sabrina's grandfather will be six times as old as Sabrina was last year. When Sabrina's present age is added to her grandfather's present age, the total is 68. How old is Sabrina now?

2307 . In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is:

2308 . In what ratio must a grocer mix two varieties of pulses costing Tk. 15 and Tk. 20 per kg respectively so as to get a mixture worth Tk.16.50 per kg ?

2309 . In what ratio must a grocer mix two varieties of tea worth TK. 60 a kg and TK. 65 a kg so that by selling the mixture at TK. 68.20 a kg he may gain 10% ?

2310 . In what ratio must a grocer mix two varieties of tea Worth Tk. 60 per kg and Tk. 65 per kg so that by selling the mixture at Tk. 68.20 per kg he may gain 10% ?

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