2956 . 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 :

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

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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

2957 . 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

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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

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Answer: Option C

Explanation:

2959 . 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

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Answer: Option A

Explanation:

2960 . 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

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Answer: Option A

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

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

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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)

2962 . 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

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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

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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

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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)

2965 . 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

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Answer: Option C

Explanation:

2966 . 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

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Answer: Option C

Explanation:

2967 . The ratio of two number is 2:3 The sum of the number is 100. The diffrence between two numbers is-

A. 15
B. 40
C. 25
D. 20

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Answer: Option D

Explanation:

Let, the two numbers are 2P and 3P

2P+3P = 100

5P = 100

P = 20

So, the two numbers are 40 and 60

Now, the difference is = 60-40 = 20 (Ans).

সমন্বিত ৫ ব্যাংক || অফিসার (ক্যাশ) (11-03-2022)

A. 12
B. 16
C. 24
D. 48

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Answer: Option D

Explanation:

অনুপাতদ্বয়ের গুনফল = লসাগু / গসাগু

লসাগু = অনুপাতদ্বয়ের গুনফল x গসাগু

= 3x4 x 4

= 48

2969 . The ratio of two numbers is 3 : 4 and their sum is 630 . The smaller one of the numbers is

A. 360
B. 270
C. 180
D. 120

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Answer: Option B

Explanation:

Let the two numbers are 3x and 4x
Sum of two numbers = 3x + 4x = 7x
now, 7x = 630
or, x = 90
so the smoller number = 3x = 3*90 = 270

Assistant Director (General) 06.07.18

A. 12
B. 16
C. 24
D. 48

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Answer: Option D

Explanation:

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4
So, the numbers 12 and 16
L.C.M. of 12 and 16 = 48.

Bangladesh Bank - Assistant Director - 2016

2956 . 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 :

2957 . 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?

2958 . 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?

2959 . 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?

2960 . 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

2961 . 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?

2962 . 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.

2963 . 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?

2964 . 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?

2965 . The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

2966 . The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are :

2967 . The ratio of two number is 2:3 The sum of the number is 100. The diffrence between two numbers is-

2968 . The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is:

2969 . The ratio of two numbers is 3 : 4 and their sum is 630 . The smaller one of the numbers is

2970 . The ratio of two numbers is 3:4 and their H.C.F. is 4 . Their L.C.M. is :

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