One Bank Ltd - Special Cadre Officer - 09.11.2012/গণিত এর প্রশ্ন পরুন ।

প্রশ্নঃ If 1/3 of the workers in an office are smokers, what is the ratio of smokers to nonsmokers?

বর্ণনাঃ

In every 3 person, 1 is smoker and is nonsmoker.

প্রশ্নঃ If the average of 4, 5, 6 and P is 7, what is the value of P?

বর্ণনাঃ

4 + 5 + 6 + p = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>&#xD7;</mo><mn>7</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> p = 20 - 4 - 5 - 6
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> p = 13

প্রশ্নঃ If 1/x +y =4 , then x =?

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfrac><mo>=</mo><mn>4</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> 4x + 4y = 1
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> 4x = 1 - 4y
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> x = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>1</mn><mo>-</mo><mn>4</mn><mi>y</mi></mrow><mn>4</mn></mfrac></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>-</mo><mi>y</mi></math>

প্রশ্নঃ If P :Q =3:2 , P : R= 2: 7 , then what is the value of Q : R?

বর্ণনাঃ

Q : P = 2 : 3 = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>&#xD7;</mo><mn>2</mn><mo>:</mo><mn>3</mn><mo>&#xD7;</mo><mn>2</mn></math> = 4 : 6
P : R = 2 : 7 = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>&#xD7;</mo><mn>3</mn><mo>:</mo><mn>3</mn><mo>&#xD7;</mo><mn>3</mn></math> = 6 : 21
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Q : P : R = 4 : 6 : 21
So, Q : R = 4 : 21

প্রশ্নঃ If a2 + b2 = 10 and a2 -b2 =8, what is the value of ab?

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>=</mo><mn>10</mn><mo>;</mo><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><msup><mi>b</mi><mn>2</mn></msup><mo>=</mo><mn>8</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>a</mi><mn>2</mn></msup></math> = 18;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup></math> = 9 <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> a = 3
2<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mn>2</mn></msup></math> = 2;b = 1
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> ab = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>&#xD7;</mo><mn>1</mn></math> = 3

প্রশ্নঃ In the triangle beside, what is the value of X?

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mi>x</mi><mo>+</mo><mn>40</mn><mo>&#xB0;</mo><mo>=</mo><mn>180</mn><mo>&#xB0;</mo></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>180</mn><mo>&#xB0;</mo></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> x = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>35</mn><mo>&#xB0;</mo></math>

প্রশ্নঃ What is the volume of a cube whose surface area is 96 ?

বর্ণনাঃ

Let, x be the side of the cube.
Then <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>96</mn><mo>&#x21D2;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>16</mn><mo>&#x21D2;</mo><mi>x</mi><mo>=</mo><mn>4</mn></math>
hence the volume is = <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo>=</mo><msup><mn>4</mn><mn>3</mn></msup></math> = 64

প্রশ্নঃ Suppose X =1/3 y , y=2/3 r and r = 3/4 s, what would be the value of y as a fraction a of s?

বর্ণনাঃ

y= <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac><mi>r</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>&#xD7;</mo><mfrac><mn>3</mn><mn>4</mn></mfrac><mi>s</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>s</mi></math>

প্রশ্নঃ Mr. Selim sold his cow of for TK. 30,000 at a 20% gain . Find the cost price .

বর্ণনাঃ

C.P = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>30</mn><mo>,</mo><mn>000</mn></mrow><mrow><mn>1</mn><mo>.</mo><mn>20</mn></mrow></mfrac></math> = 25,000

প্রশ্নঃ 'A' can do a work in 20 days while "B" can do it in 30 days . 'A' and 'B' working together can do it in-

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>100</mn><mo>&#xD7;</mo><mn>30</mn></mrow><mrow><mn>20</mn><mo>+</mo><mn>30</mn></mrow></mfrac></math> = 12

প্রশ্নঃ What rate of interest per year was paid. if TK. 50,000 earned Tk. 1,000 as interest in 2 years -

বর্ণনাঃ

let, the interest rate be x 
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo><mn>50</mn><mo>,</mo><mn>000</mn><mo>&#xD7;</mo><mfrac><mi>x</mi><mn>100</mn></mfrac><mo>&#xD7;</mo><mn>2</mn></math> = 1,000 <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> x = 1

প্রশ্নঃ A train 100 m long passes a bridge at the rate of 72 km per hour in 25 seconds. The length of the bridge is-

বর্ণনাঃ

Length of the bridge = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>72</mn><mo>&#xF7;</mo><mn>3</mn><mo>.</mo><mn>6</mn></mrow></mfenced><mo>&#xD7;</mo><mn>25</mn><mo>-</mo><mn>100</mn></math> = 400m

প্রশ্নঃ The average of first five prime numbers is -

বর্ণনাঃ

First 5 prime number = 2, 3, 5, 7, 11
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Their average = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>+</mo><mn>3</mn><mo>+</mo><mn>5</mn><mo>+</mo><mn>7</mn><mo>+</mo><mn>11</mn></mrow><mn>5</mn></mfrac></math> = 5.6

প্রশ্নঃ what percent of 2/3 is 1/25 ?

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>25</mn><mo>&#xD7;</mo></mrow></mfrac><mo>+</mo><mn>100</mn><mo>+</mo><mfrac><mn>2</mn><mn>5</mn></mfrac></math> = 10

প্রশ্নঃ What is the cost price of a shirt which is sold at a loss of 20% for Tk. 320?

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>100</mn><mn>80</mn></mfrac><mo>&#xD7;</mo><mn>320</mn><mo>=</mo><mn>400</mn></math>

প্রশ্নঃ A sum of money will triple itself in 20 years at simple interest with yearly rate of -

বর্ণনাঃ

Let, the sum of money be x and yearly rate be y
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> 2x = <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#xD7;</mo><mn>20</mn><mo>&#xD7;</mo><mfrac><mi>y</mi><mn>100</mn></mfrac></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> y = 10

প্রশ্নঃ How many 1/4 's are there in 4 1/2?

বর্ণনাঃ

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>47</mn><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math> = 190

প্রশ্নঃ A school has a total enrollment of 90 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students is taking either physics or English?

বর্ণনাঃ

30 + 25 - 13 = 42
So, <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>42</mn><mn>90</mn></mfrac><mo>&#xD7;</mo><mn>100</mn></math> = 46.6 = 47%

প্রশ্নঃ The ratio of two number is 3 : 5 and their sum is 640 . The greater of the numbers is-

বর্ণনাঃ

Let, the numbers be 3x and 5x
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> 3x + 5x = 640
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> 8x = 640
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> x  = 80
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> 5x = 400

প্রশ্নঃ During 2011, advertising expenditures on canned food products increased by 20 percent, while canned food consumption rose by 25 percent. Each of the following if true, could help to explain the increase in food consumption EXCEPT-

বর্ণনাঃ

This does not help, it’s not related.

প্রশ্নঃ In 1980, there were , on the average 10 deaths at birth (infant mortality) per 10,000 population. By 1990 , there were 8.5 and by 2000, 7.0 Today there were 5.5 deaths at birth per 10,000 population , and it is anticipated that the downward trend will continue.Each of following , if true, would help to account for this trend EXCEPT

বর্ণনাঃ

same as above