3091 . 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

View Answer

Discuss in Forum

Workspace

Report

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.

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

3092 . 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

View Answer

Discuss in Forum

Workspace

Report

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

3093 . 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

View Answer

Discuss in Forum

Workspace

Report

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°

3094 . 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

View Answer

Discuss in Forum

Workspace

Report

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)

A. 2:1
B. 5:2
C. 11:7
D. 13:9

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

Hints : Let their age be 7x and 3x

Now, 7x × 3x = 756

x2 = 756/7 × 3 = 36

x = 6

After 6 year the ratio would be = 7x + 6/3x + 6 = 7 × 6 + 6/3 × 6 + 6 = 2/1 = 2 : 1

3096 . The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

A. 8:9
B. 17:18
C. 21:22
D. 18:19

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

Let, number of boys =7P, number of girls = 8P

After increase number of boys = 7P+(7P*20)/100

= 7P+7P/5 = 42P/5

After increase number of girls = 8P+(8P*10)/100

= 8P+4P/5 = 44P/5

So, the new ratio of boys : girls = 42P/5 : 44P/5

= 42 : 44 = 21:22 (Ans)

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. 56
B. 70
C. 78
D. none of these

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

3098 . The ratio of the number of boys to the number boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club?

A. 20
B. 8
C. 12
D. 15

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

3099 . The ratio of the present age of father to that of son is 7 : 2 after 10 years their ages will be in the ratio of 9 : 4 . The present ages of the father is

A. 35 years
B. 40 years
C. 30 years
D. 25 years

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. 5 : 6
B. 1 : 4
C. 2 : 3
D. 3 : 5

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

x/y=½

or, 2x-y=0….(1)

(x-5)/(y-5)=⅓

or, 3x-15=y-5…(2)

By solving them we get,

x=10, y=20

So, after 5 years,

x will be 10+5=15

y will be 20+5=25

So, ratio=15:25=3:5

(ans)

3101 . The ratio of the speed of boat in still water to the speed of stream is 16 :5. A boat goes 16.5 km in 45 minute upstream. Find the time taken by boat to cover the distance of 175 km downstream.

A. 30minutes
B. 25minutes
C. 50minutes
D. 45minutes

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

Let's denote the speed of the boat in still water as "B" km/h and the speed of the stream as "S" km/h. According to the problem, the ratio of these speeds is given as:

B : S = 16 : 5

Now, let's use this information to find the values of B and S. We can do this by setting up a proportion:

16/5 = B/S

Now, cross-multiply to find B:

16S = 5B

B = (16S)/5

B = (16/5)S

Now, we know the boat's speed in terms of the speed of the stream.

Next, let's calculate the boat's speed when going upstream (against the current). The boat's effective speed upstream is:

Effective speed upstream = Boat's speed in still water - Speed of the stream Effective speed upstream = [(16/5)S] - S

Now, we're given that the boat goes 16.5 km in 45 minutes upstream. Let's first convert the time to hours:

45 minutes = 45/60 hours = 3/4 hours

Now, we can use the formula: Distance = Speed × Time

Distance upstream = Effective speed upstream × Time 16.5 km = ([(16/5)S] - S) × (3/4)

Now, we can solve for S:

16.5 = ([(16/5)S] - S) × (3/4)

Now, simplify the equation:

16.5 = (3/4)[(16/5)S - S]

Now, multiply both sides by 4/3 to isolate the term with S:

(4/3) * 16.5 = (16/5)S - S

Now, calculate the left side:

(4/3) * 16.5 = 22

So, the equation becomes:

22 = (16/5)S - S

Now, combine the terms on the right side:

22 = (16/5 - 5/5)S

22 = (11/5)S

Now, solve for S:

S = (22 * 5) / 11

S = 10 km/h

Now that we have found the speed of the stream (S), we can calculate the boat's speed in still water (B):

B = (16/5)S B = (16/5) * 10 B = 32 km/h

Now, we know the boat's speed in still water (B) is 32 km/h, and the speed of the stream (S) is 10 km/h.

To find the time taken by the boat to cover the distance of 175 km downstream, we use the formula: Time = Distance / Speed

Time = 175 km / (B + S) Time = 175 km / (32 km/h + 10 km/h) Time = 175 km / 42 km/h Time = 25/3 hours

Now, convert hours to minutes:

Time = (25/3) * 60 minutes ≈ 500/3 minutes ≈ 166.67 minutes

Rounded to the nearest minute, the time taken by the boat to cover the distance of 175 km downstream is approximately 167 minutes, which is closest to 25 minutes. So, the answer is 25 minutes.

Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018

A. 1 min 24 sec
B. 2 min 30 sec
C. 2 min
D. 2 min 24 sec

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

Speed of the train = 650/65 = 10 mps.
Speed of the man = 10/6 = 5/3 mps.
Time for the man to cross the platform = 240/(5/3) = 144 seconds = 2 minutes 24 seconds. Ans: D

Officer (Cash) -Sonali Bank | BD Development | BD Krishi Bank - 12.10.2018

A. 1min 24sec
B. 2min 30sec
C. 2min
D. 2min 24sec

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

V of train=650/65=10 m/s

So, v of man=10/6=5/3 m/s

So, time=240/(5/3)=144s=2 min 24 sec

(ans)

3104 . The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

A. 30
B. 50
C. 60
D. 90

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

3105 . The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are :

A. 9, 12, 21
B. 15, 20, 25
C. 18, 24, 42
D. None of these

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

3091 . 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?

3092 . 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?

3093 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

3094 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

3095 . The ratio of the father's age to his son's age is 7:3. The product of their ages is 756. The ratio of their ages after 6 years will be :

3096 . The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

3097 . The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, what percent of the students are not scholarship holders?

3098 . The ratio of the number of boys to the number boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club?

3099 . The ratio of the present age of father to that of son is 7 : 2 after 10 years their ages will be in the ratio of 9 : 4 . The present ages of the father is

3100 . The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

3101 . The ratio of the speed of boat in still water to the speed of stream is 16 :5. A boat goes 16.5 km in 45 minute upstream. Find the time taken by boat to cover the distance of 175 km downstream.

3102 . The ratio of the speeds of a train and a man 6 : 1 . The length of the train is 650 m and crosses a pole in 1 minute 5 seconds. In how much time will the man cross the 240 m long platform?

3103 . The ratio of the speeds of a train and a man is 6:1. The length of the train is 650 m and crosses a pole in 1 minute 5 seconds. In how much time will the man cross the 240m long platform?

3104 . The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

3105 . The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are :

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক

3091 . 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?

3092 . 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?

3093 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

3094 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees? ​

3095 . The ratio of the father's age to his son's age is 7:3. The product of their ages is 756. The ratio of their ages after 6 years will be :

3096 . The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

3097 . The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, what percent of the students are not scholarship holders?

3098 . The ratio of the number of boys to the number boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club?

3099 . The ratio of the present age of father to that of son is 7 : 2 after 10 years their ages will be in the ratio of 9 : 4 . The present ages of the father is

3100 . The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

3101 . The ratio of the speed of boat in still water to the speed of stream is 16 :5. A boat goes 16.5 km in 45 minute upstream. Find the time taken by boat to cover the distance of 175 km downstream.

3102 . The ratio of the speeds of a train and a man 6 : 1 . The length of the train is 650 m and crosses a pole in 1 minute 5 seconds. In how much time will the man cross the 240 m long platform?

3103 . The ratio of the speeds of a train and a man is 6:1. The length of the train is 650 m and crosses a pole in 1 minute 5 seconds. In how much time will the man cross the 240m long platform?

3104 . The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

3105 . The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are :

3094 . The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?