3046 . 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)

সহকারী পরিচালক(AD) -12.11.2021

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

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Answer: Option B

Explanation:

3048 . The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers.

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

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Answer: Option B

Explanation:

3049 . 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

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

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

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:

3052 . 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%

3053 . 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)

3054 . 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)

3055 . 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

3056 . 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)

3057 . The temperature in a city was 20⁰ Celsius. What is the equivalent of this temperature in degrees Fahrenheit?

A. 4°
B. 43.1°
C. 68°
D. 132°

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Answer: Option C

Explanation:

To convert a temperature from Celsius (°C) to Fahrenheit (°F), you can use the following formula:

°F = (°C x 1.8) + 32

where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.

To convert 20°C to Fahrenheit:

°F = (20°C x 1.8) + 32 °F = 36°F + 32 °F = 68°F

Therefore, 20°C is equal to 68°F.

সহকারী পরিচালক(AD) -12.11.2021

A. 28
B. 22
C. 27
D. 23
E. None of these

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Answer: Option E

Explanation:

Difference in temperature is always the same in every temperature unit. Here, the temperature difference is (25 - 3) = 22°F. Therefore, in Celsius scale it will be 22°C.

3059 . The three rational numbers between 3 and 4 are:

A. 5/2,6/2, 7/2
B. 13/4, 14/4, 15/4
C. 12/7, 13/7, 14/7
D. 11/4, 12/4, 13/4

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Answer: Option B

Explanation:

Find the average of 3 and 4: (3 + 4) / 2 = 7 / 2 = 3.5
So, 3.5 is the first rational number between 3 and 4.

Find the average of 3 and 3.5: (3 + 3.5) / 2 = 6.5 / 2 = 13 / 4
So, 13/4 is the second rational number between 3 and 4.

Find the average of 3.5 and 4: (3.5 + 4) / 2 = 7.5 / 2 = 15 / 4
So, 15/4 is the third rational number between 3 and 4.

The three rational numbers between 3 and 4 are 13/4, 14/4 (which simplifies to 7/2), and 15/4.

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. 5 cm
B. 3 cm
C. 4 cm
D. 7cm

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Answer: Option A

Explanation:

অফিসার (সাধারণ) ২৭.১২. ২০১৯

3046 . The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?

3047 . 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.

3048 . The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers.

3049 . The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is -

3050 . The sum of two numbers is 23 and difference is 21. What is the smaller of the two numbers?

3051 . The sum of two numbers is 25 and their difference is 13. Find their product.

3052 . The sum of two numbers is 28/25 of the first number. The second number is what percent of the first ?

3053 . The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :

3054 . 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?

3055 . The sum of two numbers is equal to thrice difference. If the smaller of the numbers is 10 find the other number.

3056 . 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?

3057 . The temperature in a city was 20⁰ Celsius. What is the equivalent of this temperature in degrees Fahrenheit?

3058 . The temperature in a home freezer varies from 25 degree F to 3 degree F. What is the difference, in Celsius, between these two temperatures?

3059 . The three rational numbers between 3 and 4 are:

3060 . The three sides of a triangle are x+1 , 2x -1 and 3x +1 respectively and the perimeter is 25 cm. The length of the smallest side is -

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