2941 . The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A. 16 cm
B. 18 cm
C. 20cm
D. 24 cm
E. None of these

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Answer: Option B

Explanation:

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A. 3 : 4
B. 3 : 5
C. 4 : 3
D. None of these

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Answer: Option D

Explanation:

Hints: Let P age and Q age be 6x years and 7x years

Then, 7x - 6x = 4

x = 4

So the required ratio will be (6x + 4)/(7x + 4) = 28/32 = 7/8

2943 . The ratio between two numbers is 3:4 and their least common multiple is 180. What is the first number?

A. 15
B. 20
C. 45
D. 60
E. None of these

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Answer: Option C

Explanation:

এ ধরনের math করতে হলে নিচের পদ্ধতিটি মনে রাখুন
3  ×  4  ×  x  =  180
so x  =  15
এবং সেই সংখ্যাটি  =  3  ×  15  =  45

2944 . The ratio of ages of a father and his son was 5 : 1. What is the age of the son after five years, if the ratio of their ages is 3 : 1 by this time?

A. 7
B. 10
C. 12
D. 14

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Answer: Option B

Explanation:

Father = 5x

Son = x

So, ( 5x + 5) : ( x + 5) = 3 : 1

5x + 5)/ x + 5 = 3/1

5x + 5 = 3x + 15

2x = 10

x = 5

After 5 years son age = 5 + 5 = 10

2945 . The ratio of ages of a father and his son was 5:1. What is the age of the son after five years, if the ratio of their ages is 3:1 by this time ?

A. 7
B. 10
C. 12
D. 14
E. 16

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Answer: Option B

Explanation:

Father = 5x

Son = x

So, ( 5x + 5) : ( x + 5) = 3 : 1

5x + 5)/ x + 5 = 3/1

5x + 5 = 3x + 15

2x = 10

x = 5

After 5 years son age = 5 + 5 = 10

Agrani Bank Ltd. Recruitment Test for Senior Officer 12.02.2010

A. 6
B. 8
C. 10
D. 12

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Answer: Option B

Explanation:

No. of boys = 24× 1/ (1 + 2) = 24 ×1/3 = 8

No. of Girls = 24 × 2/3 = 16

How many boys = 16 - 8 = 8

2947 . The ratio of boys and girls in a class is 1:2 and the class as 24 students . How many boys would have to be admitted to the class in order to make the ratio of boys to girls 1 : 1?

A. 6
B. 8
C. 10
D. 12

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Answer: Option B

Explanation:

Boys = 24 × 1 / 1 + 2 = 8

Girls = 16

Now, ( 8 + x) ; 16 = 1 : 1

gives x = 8

2948 . The ratio of boys and girls in a class is 4 : 5. If 10% of the boys and 20% of the girls failed in an examination, what percentage of students passed in the exam?

A. 80%
B. 82%
C. 85%
D. None

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Answer: Option D

Explanation:

2949 . The ratio of boys and girls in a school is to 7. If there are 150 boys and girls, how many boys are there?

A. 75
B. 45
C. 25
D. 95

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Answer: Option B

Explanation:

ধরি, ছাত্রের সংখ্যা = 3x ও ছাত্রীর সংখ্যা = 7x
∴∴ 3x + 7x = 150
⇒⇒ 10x = 150
⇒⇒ x = 1501015010
⇒⇒ x = 15
∴∴ ছাত্রের সংখ্যা = (3×15)3×15 জন = 45 জন।

2950 . The ratio of boys to girls in a class 2/5. If 2 boys leave and 4 girls join the class, the ratio of the boys to the girls becomes 1/4. Originally, how many girls were in the class?

A. 16
B. 20
C. 21
D. 24

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Answer: Option B

Explanation:

2951 . The ratio of girls to boys in a class is 3:4. The number of students in the class could be any of the following except :

A. 36
B. 28
C. 48
D. none of these

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Answer: Option B

Explanation:

অনুপাতের রাশিসমূহের যােগফল = 3 + 4 = 7 .
option - এর সংখ্যাগুলাের মধ্যে 28, 7 দ্বারা বিভাজ্য। সুতরাং শ্রেণির ছাত্র - ছাত্রী সংখ্যা 28

2952 . The ratio of income of Kamran and Dolon is 3 : 4. The ratio of their expenditures is 4 : 5. Find the ratio of their savings if the savings of Kamran is one fourth of his income?

A. 5 : 4
B. 19 : 12
C. 4 : 6
D. 12 : 19
E. 10 : 20

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Answer: Option D

Explanation:

Let's denote the income of Kamran as "3x" and the income of Dolon as "4x" (based on the given ratio).

We're also given that Kamran's savings are one-fourth of his income, so Kamran's savings would be (1/4) * 3x, which simplifies to (3/4) * x.

Now, let's consider their expenditures. The ratio of their expenditures is 4:5. Let the common multiplier for both expenditures be "k."

So, Kamran's expenditure is 4k, and Dolon's expenditure is 5k.

Now, let's calculate their savings. Savings are calculated as Income - Expenditure.

Kamran's savings = Income - Expenditure = 3x - 4k Dolon's savings = Income - Expenditure = 4x - 5k

Now, we're given that Kamran's savings are (3/4) * x, so we can set up an equation:

3x - 4k = (3/4) * x

Now, let's solve for k:

3x - (3/4) * x = 4k

(12/4)x - (3/4) * x = 4k

(9/4) * x = 4k

Now, solve for k:

k = (9/4) * x / 4

k = (9/16) * x

Now, we have expressions for Kamran's and Dolon's savings:

Kamran's savings = 3x - 4k = 3x - 4(9/16) * x Dolon's savings = 4x - 5k = 4x - 5(9/16) * x

Now, simplify these expressions:

Kamran's savings = (48/16)x - (36/16)x = (12/16)x = (3/4)x Dolon's savings = (64/16)x - (45/16)x = (19/16)x

Now, we have their savings in terms of x:

Kamran's savings = (3/4)x Dolon's savings = (19/16)x

Now, let's find the ratio of their savings:

(Kamran's savings)/(Dolon's savings) = [(3/4)x] / [(19/16)x]

Now, simplify the ratio:

(Kamran's savings)/(Dolon's savings) = (3/4) / (19/16)

To simplify further, multiply both the numerator and denominator by 16:

(Kamran's savings)/(Dolon's savings) = (3/4) * (16/19)

Now, calculate the ratio:

(Kamran's savings)/(Dolon's savings) = (48/76)

Simplify the ratio:

(Kamran's savings)/(Dolon's savings) = 12/19

So, the ratio of their savings is 12:19. The correct answer is 12:19.

2953 . The ratio of quantity of water in fresh fruit to that of dry fruits is 7 : 2 . If 400 km of dry fruits contain 50 km of water then find the weight of the water in same fruits when they were fresh?

A. 100 km
B. 150 km
C. 175 kg
D. 125 kg

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Answer: Option C

Explanation:

ধরি, সতেজ ফল এবং শুল্ক ফলে পানি আছে যথাক্রমে 7x এবং 2x

2x = 50

x = 25

সতেজ ফলে পানি আছে = 7 × 25 = 175 kg

2954 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

A. 30
B. 60
C. 80
D. 90

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Answer: Option C

Explanation:

Let the angles be 2x, 3x and 4x respectively.

Now, 2x + 3x + 4x = 180°

or, 9x = 180°

or, x = 180/9 = 20

So, the largest angle = 4x = 4 x 20 = 80°

2955 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

A. 30
B. 60
C. 80
D. 90

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Answer: Option C

Explanation:

Let the angles be 2x, 3x and 4x respectively.

Now, 2x + 3x + 4x = 180°

or, 9x = 180°

or, x = 180/9 = 20

So, the largest angle = 4x = 4 x 20 = 80°.

সমন্বিত ব্যাংক অফিসার (ক্যাশ) || (02-06-2023)

2941 . The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

2942 . The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?

2943 . The ratio between two numbers is 3:4 and their least common multiple is 180. What is the first number?

2944 . The ratio of ages of a father and his son was 5 : 1. What is the age of the son after five years, if the ratio of their ages is 3 : 1 by this time?

2945 . The ratio of ages of a father and his son was 5:1. What is the age of the son after five years, if the ratio of their ages is 3:1 by this time ?

2946 . The ratio of boys and girls in a class is 1 : 2 and the classroom has 24 students. How many boys would have to be admited to make ratio of boys to girls 1 : 1?

2947 . The ratio of boys and girls in a class is 1:2 and the class as 24 students . How many boys would have to be admitted to the class in order to make the ratio of boys to girls 1 : 1?

2948 . The ratio of boys and girls in a class is 4 : 5. If 10% of the boys and 20% of the girls failed in an examination, what percentage of students passed in the exam?

2949 . The ratio of boys and girls in a school is to 7. If there are 150 boys and girls, how many boys are there?

2950 . The ratio of boys to girls in a class 2/5. If 2 boys leave and 4 girls join the class, the ratio of the boys to the girls becomes 1/4. Originally, how many girls were in the class?

2951 . The ratio of girls to boys in a class is 3:4. The number of students in the class could be any of the following except :

2952 . The ratio of income of Kamran and Dolon is 3 : 4. The ratio of their expenditures is 4 : 5. Find the ratio of their savings if the savings of Kamran is one fourth of his income?

2953 . The ratio of quantity of water in fresh fruit to that of dry fruits is 7 : 2 . If 400 km of dry fruits contain 50 km of water then find the weight of the water in same fruits when they were fresh?

2954 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

2955 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক

2941 . The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

2942 . The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?

2943 . The ratio between two numbers is 3:4 and their least common multiple is 180. What is the first number?

2944 . The ratio of ages of a father and his son was 5 : 1. What is the age of the son after five years, if the ratio of their ages is 3 : 1 by this time?

2945 . The ratio of ages of a father and his son was 5:1. What is the age of the son after five years, if the ratio of their ages is 3:1 by this time ?

2946 . The ratio of boys and girls in a class is 1 : 2 and the classroom has 24 students. How many boys would have to be admited to make ratio of boys to girls 1 : 1?

2947 . The ratio of boys and girls in a class is 1:2 and the class as 24 students . How many boys would have to be admitted to the class in order to make the ratio of boys to girls 1 : 1?

2948 . The ratio of boys and girls in a class is 4 : 5. If 10% of the boys and 20% of the girls failed in an examination, what percentage of students passed in the exam?

2949 . The ratio of boys and girls in a school is to 7. If there are 150 boys and girls, how many boys are there?

2950 . The ratio of boys to girls in a class 2/5. If 2 boys leave and 4 girls join the class, the ratio of the boys to the girls becomes 1/4. Originally, how many girls were in the class?

2951 . The ratio of girls to boys in a class is 3:4. The number of students in the class could be any of the following except :

2952 . The ratio of income of Kamran and Dolon is 3 : 4. The ratio of their expenditures is 4 : 5. Find the ratio of their savings if the savings of Kamran is one fourth of his income?

2953 . The ratio of quantity of water in fresh fruit to that of dry fruits is 7 : 2 . If 400 km of dry fruits contain 50 km of water then find the weight of the water in same fruits when they were fresh?

2954 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

2955 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees? ​

2955 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?