3406 . The sum of three numbers is 138. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 7, then the second number is.

A. 42
B. 45
C. 48
D. 52

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Answer: Option B

Explanation:

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3407 . The sum of tree consecutive even integers is equal to 4 times the smallest. What is the smallest integer?

A. 4
B. 6
C. 8
D. 8

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Answer: Option B

Explanation:

Let the consecutive even integers be m, (m + 2) and (m + 4)

Then, m + (m + 2) + (m + 4) = 4m or, m = 6.

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3408 . The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?

A. 21
B. 15
C. 16
D. 18

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Answer: Option B

Explanation:

Let, the bigger number = x, smaller number = y

x+y = 36

x-y = 6

(Doing Subtraction), 2y = 30

y = 15 (Ans)

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সহকারী পরিচালক(AD) -12.11.2021

A. 65
B. 72
C. 76
D. 80

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Answer: Option B

Explanation:

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পূবালী ব্যাংক লিমিটেড || প্রবেশনারি অফিসার (30-09-2023) || 2023

A. 6 and 9
B. 7 and 8
C. 10 and 5
D. None of these

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Answer: Option B

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3411 . The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is -

A. 40
B. 44
C. 80
D. 88

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Answer: Option A

Explanation:

ATQ,
x + y = 22 ... (i)
x2 + y2 = 404 ... (ii)
Therefore, (x + y)2 = x2 + y2 + 2xy
(22)2 = 404 + 2xy
484 = 404 + 2xy
Or, 2xy = 80
Or, xy = 40

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

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

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Answer: Option D

Explanation:

Let's the two numbers are x and y. wher x>y

x + y = 23....(i)

and x - y = 21......(ii)

or, x - y = 21

or, x = 21 + y....(iIi)

replacing x with x = 21 + y in equation (i)

x + y = 23

or,21 + y + y = 23

or, 21 + 2y = 23

or, 2y = 2

∴ y = 1

so, the smallest number is 1

ans: 1

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Sonali- Janata- Agrani &amp- Rupali Bank Ltd. Senior Officer Recruitment 14.03.2008

A. 104
B. 114
C. 315
D. 325

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Answer: Option B

Explanation:

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3414 . The sum of two numbers is 28/25 of the first number. The second number is what percent of the first ?

A. 12%
B. 14%
C. 16%
D. 18%

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Answer: Option A

Explanation:

Hints : Let the numbers be x and y

x + y = 28/25 × x

y = 28x /25 - x

y = 28x - 25x /25

y = 3x /25

So the second number is 3x /25

Now, percentage = 3x/25/x × 100 = 3x/25 × 1/x × 100% = 12%

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3415 . The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :

A. 22:9
B. 11:9
C. 11:18
D. 21:19

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Answer: Option B

Explanation:

x+y=40…(1)

x-y=4…(2)

By solving these equations we get,

x=22

y=18

So, x:y=22:18=11:9

(ans)

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3416 . The sum of two numbers is 56. If three times of the smaller number is one-half of the larger number, what is the larger number?

A. 16
B. 7.5
C. 4
D. 48
E. None of these

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Answer: Option D

Explanation:

let, the larger number = x

smaller number = x - 56

atq,

3(56 - x) = x/2

or,7x/2 = 168

or,x = 24*2 = 48

so, the larger number is = 48 (ans)

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3417 . The sum of two numbers is equal to thrice difference. If the smaller of the numbers is 10 find the other number.

A. 15
B. 20
C. 40
D. none of these

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Answer: Option B

Explanation:

ধরি, সংখ্যা দুটি x ও y ; যেখানে x>y

x + y = 3 ( x - y)

x + 10 = 3 ( x - 10)

x + 10 = 3x - 30

2x = 40

x = 20

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3418 . The sun of daily income of P, Q and R is Tk.90. If Q earns taka 10 more than P and R earns double of what Q earns, then what is the average of daily income of P and Q?

A. 40 Tk.
B. 30 Tk.
C. 20 Tk.
D. 10 Tk.

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Answer: Option C

Explanation:

P+Q+R = 90 tk

Q = 10+P

R = 2Q = 2(10+P) = 20+2P

P+Q+R = 90

P+10+P+20+2P = 90

P = 15

So, Q = 10+P = 10+15 = 25

Now, P+Q = 15+25 = 40

Average of P and Q is = 40/2 = 20 (Ans)

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3419 . The surface area of hollow cylinder with radius 'r and height 'h' is measured by-

A. $2 π r - h$
B. $2 π r + h$
C. $π r h$
D. $2 π r h$

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Answer: Option D

Explanation:

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. Increases by 2%
B. Decreases by 1%
C. Increases by 1%
D. Decreases by 2%

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Answer: Option B

Explanation:

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জনতা ব্যাংক || অফিসার (আরসি) (28-06-2024) || 2024

3406 . The sum of three numbers is 138. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 7, then the second number is.

3407 . The sum of tree consecutive even integers is equal to 4 times the smallest. What is the smallest integer?

3408 . The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?

3409 . The sum of two number is 184. If one-third of the one exceeds one-seventh of the other by 8.. find the smaller number.

3410 . The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers.

3411 . The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is -

3412 . The sum of two numbers is 23 and difference is 21. What is the smaller of the two numbers?

3413 . The sum of two numbers is 25 and their difference is 13. Find their product.

3414 . The sum of two numbers is 28/25 of the first number. The second number is what percent of the first ?

3415 . The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :

3416 . The sum of two numbers is 56. If three times of the smaller number is one-half of the larger number, what is the larger number?

3417 . The sum of two numbers is equal to thrice difference. If the smaller of the numbers is 10 find the other number.

3418 . The sun of daily income of P, Q and R is Tk.90. If Q earns taka 10 more than P and R earns double of what Q earns, then what is the average of daily income of P and Q?

3420 . The tax on a commodity is diminished by 10% and its consumption increases by 10%. Find the effects on revenue.

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