Worthwhile
Serious
Terminal
Loquacious
প্রশ্নঃ Choose the word that is most nearly similar in meaning to the word given in the capital letters. VOLUBLE
বর্ণনাঃ
Voluble- বাকপটু, অবিরত বক্তুতা দিতে পারে এমন; Worthwhile- কষ্ট স্বীকাররের যোগ্য, সময় খরচের যোগ্য; Terminal- শেষ, চরম, প্রান্তিক; Loquacious- বাকপটু, কল্ভাষিণী, বাচাল।
Needy
Passive
Unchaste
Oriental
Threat
Guarantee
Arrest
Issue
Heat
Greeting
Recovery
Tumult
Beginner
Patron
Fanatic
Murdere
as a result
in represent
re elected
to the state
the
upset
have been
deprived
the
from
for
at
should write
related for
at
week's
'Because the committee was anxious
the
to reading
minutes
in
on
to
within
by
with
through
at
on
to
at
upon
against
to
with
at
in, at
within, at
at, in
at, within
6
12
18
36
প্রশ্নঃ If the product of 3 different positive integers is 6, then twice the sum of the integers is ----
বর্ণনাঃ
There is no way of solving this problem mathematically, as no relation between the integers is given. Now, it is said the integers are positive only 1, 2, 3 is the possible combination (1×2×3 = 6). So, their sum = 1+2+3 = 6. Twice of the sum is 12.
0.11
0.111
0.1211
0.2341
34
36
38
40
প্রশ্নঃ Sum of P and Q is 72 and the value of R is 42. What is the average of P, Q and R?
বর্ণনাঃ
P + Q = 72; R = 42
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> P + Q + R = 72 + 42 = 114
Their average = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>114</mn><mn>3</mn></mfrac></math> = 38
5
6
7
8
প্রশ্নঃ If x+y=9 and x/y=2, then x equals to ----
বর্ণনাঃ
x + y = 9 and <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mi>y</mi></mfrac></math> = 2 or x = 2y
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mn>2</mn><mi>y</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>9</mn><mspace linebreak="newline"/><mo>⇒</mo><mn>3</mn><mi>y</mi><mo>=</mo><mn>9</mn><mspace linebreak="newline"/><mo>⇒</mo><mi>y</mi><mo>=</mo><mn>3</mn><mspace linebreak="newline"/><mo>∴</mo><mi>x</mi><mo>=</mo><mn>2</mn><mi>y</mi><mo>=</mo><mn>2</mn><mo>×</mo><mn>3</mn><mo>=</mo><mn>6</mn></math>
990
980
960
900
প্রশ্নঃ Find the largest number of apples not exceeding 1000, which can be equally divided among 6, 20, 24 boys?
বর্ণনাঃ
The number that would be divisible by the L.C.M of 6, 20, 24 is the correct answer option
Now, the L.C.M of 6, 20, , 24 is found.
2 6, 20, 24
3 3, 10, 12
2 1, 10, 4
1, 5, 2
So L.C.M = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>×</mo><mn>3</mn><mo>×</mo><mn>2</mn><mo>×</mo><mn>5</mn><mo>×</mo><mn>2</mn><mo>=</mo><mn>120</mn></math>
Now, only 960 is divisible by 120, so 960 is the correct answer.
16
20
21
24
প্রশ্নঃ The ratio of boys to girls in a class 2/5. If 2 boys leave and 4 girls join the class, the ratio of the boys to the girls becomes 1/4. Originally, how many girls were in the class?
বর্ণনাঃ
Let, Originally, there were 2x boys and 5x girls in the class
Now, <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mn>5</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mspace linebreak="newline"/><mo>⇒</mo><mn>4</mn><mfenced><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>4</mn><mspace linebreak="newline"/><mo>⇒</mo><mn>8</mn><mi>x</mi><mo>-</mo><mn>8</mn><mo>=</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>4</mn><mspace linebreak="newline"/><mo>⇒</mo><mn>8</mn><mi>x</mi><mo>-</mo><mn>5</mn><mi>x</mi><mo>=</mo><mn>4</mn><mo>+</mo><mn>8</mn><mspace linebreak="newline"/><mo>⇒</mo><mn>3</mn><mi>x</mi><mo>=</mo><mn>12</mn><mspace linebreak="newline"/><mo>∴</mo></math> x = 4
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> Originally number of girls = <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>×</mo><mn>4</mn><mo>=</mo><mn>20</mn></math>
3%
5%
2%
6%
প্রশ্নঃ What annual rate was paid if Tk. 60000 earned Tk. 6000 interest in 5 years
বর্ণনাঃ
I= <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>p</mi><mi>n</mi><mi>r</mi></mrow><mn>100</mn></mfrac></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>r</mi><mo>=</mo><mfrac><mrow><mi>I</mi><mo>×</mo><mn>100</mn></mrow><mrow><mi>p</mi><mo>×</mo><mi>n</mi></mrow></mfrac><mspace linebreak="newline"/><mo>=</mo><mfrac><mrow><mn>6000</mn><mo>×</mo><mn>100</mn></mrow><mrow><mn>60000</mn><mo>×</mo><mn>5</mn></mrow></mfrac></math>
= 2
20%
25%
30%
35%
প্রশ্নঃ What will be the profit or loss if 4 mangoes are sold at the same price which 5 were bought?
বর্ণনাঃ
এ ধরনের math, যেখানে বিক্রয়ের unit ক্রয়ের unit থেকে 1 কম, সেক্ষেত্রে সবসময় লাভ হবে, এবং লাভের % = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>100</mn><mrow><mi>ব</mi><mi>ি</mi><mi>ক</mi><mi>্</mi><mi>র</mi><mi>য়</mi><mi>ে</mi><mi>র</mi><mo> </mo><mi>u</mi><mi>n</mi><mi>i</mi><mi>t</mi></mrow></mfrac><mfrac><mn>100</mn><mn>4</mn></mfrac></math> = 25%
পূর্ণ নিয়ম:
Let, the cost price of 5 mangoes is x
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo><mn>1</mn><mo> </mo><mfrac><mi>x</mi><mn>5</mn></mfrac></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo><mn>4</mn><mo> </mo><mo> </mo><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></math>
Now, selling price of 4 mangoes is x
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> Profit <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>-</mo><mstyle displaystyle="true"><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle></mrow><mstyle displaystyle="true"><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"/><mo>=</mo><mfrac><mstyle displaystyle="true"><mfrac><mrow><mn>5</mn><mi>x</mi><mo>-</mo><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle><mstyle displaystyle="true"><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"/><mo>=</mo><mfrac><mi>x</mi><mn>5</mn></mfrac><mo>×</mo><mfrac><mn>5</mn><mrow><mn>4</mn><mi>x</mi></mrow></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"/><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"/></math>
= 25%
220
300
400
640
প্রশ্নঃ What's the area of a square in square meter if its perimeter is 80?
বর্ণনাঃ
Side of the square = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>p</mi><mi>e</mi><mi>r</mi><mi>i</mi><mi>m</mi><mi>e</mi><mi>t</mi><mi>e</mi><mi>r</mi></mrow><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>80</mn><mn>4</mn></mfrac><mo>=</mo><mn>20</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> Area of the square = <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>20</mn><mn>2</mn></msup></math> = 400 sq.m
5500
5050
5055
5850
প্রশ্নঃ What is the sum of the following series? 1+2+3.........+100=?
বর্ণনাঃ
Sum = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>n</mi><mfenced><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac></math>; here, n = 100
<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mfrac><mrow><mn>100</mn><mfenced><mrow><mn>100</mn><mo>+</mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac><mspace linebreak="newline"/><mo>=</mo><mn>50</mn><mo>×</mo><mn>101</mn></math>
= 5050
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