General Mathematics

Question: When a commodity is sold for Tk 34.80, there is a loss of 35 percent(%). What is the cost price of the commodity?
A
Tk 46.40

B
Tk 26.10

C
Tk 43

D
Tk 43.20

Note: S.P. = Tk. 34.80, Loss = 25% C.P. = Tk. `(100/75 xx 34.80)` = Tk 46.40
1. Report
Question: If the selling price of an article is 4/3 times its cost price, the profit percent is
A
`33 1/3`

B
`25 1/4`

C
`20 1/2`

D
`20 1/3`

Note: Let C.P.= x, Then, S.P. = `(4x)/3` Gain=`((4x)/3 - x)` =`x/3` `:.` Gain % = `(x/3 xx 1/x xx 100)% = 33 1/3 %`
1. Report
Question: A retailer buys a radio for Tk 225. His overhead expenses are Tk 15. He sells the radio for Tk 300. The profit percent of the retailer is
A
10

B
25

C
50

D
52

Note: C.P = Tk. (225 + 15) = Tk. 240 S.P. = Tk 300 `:.` Gain % = `(60/240 xx 100)%` = 25%
1. Report
Question: The unit's digit in the product `(274 xx 318 xx 577 xx 313)` is :
A
2

B
3

C
4

D
5

Note: Required digit = unit digit in the product `(4 xx 8 xx 7 xx 3)` `= 2`
1. Report
Question: The digit in the unit place of the number represented by `(7^95 - 3^58)` is :
A
7

B
0

C
6

D
4

Note: Unit digit in `7^4` is 1. So, unit digit in `7^92` is 1.`:.` Unit digit in `7^95` is 3. [`:.` Unit digit in `1xx7xx7xx7` is 3] Unit digit in `3^4` is 1. `:.` Unit digit in `3^56` is 1.Unit digit in 3^58 is 9 [`:.` Unit digit in `1xx3xx3` is 9] `:.` Unit digit in `(7^95 - 3^58)` is 4. [Subtracting unit digit 9 from unit digit 3 ]
1. Report
Question: The total number of prime factor in the expression `(4)^11 xx (7)^5 xx (11)^2` is :
A
7

B
18

C
29

D
110

Note: `4^7 xx 7^5 xx 11^2 = (2 xx 2)^11 xx 7^5 xx 11^2` =`2^11 xx 2^11 xx 7^5 xx 11^2` =`2^22 xx 7^5 xx 11^2`.
1. Report
Question: If `a/b = 4/3`, Then `(3a + 2b) / (3a - 2b)`= ?
A
-1

B
3

C
5

D
6

Note: `(3a + 2b) / (3a - 2b)` = `(3 a/b + 2)/ (3 a/b - 2)` = `(3 xx 4/3 + 2) / (3 xx 4/3 - 2)` = `6/2` = 3. [Dividing Nr & Dr by b ]
1. Report
Question: If `a^3b` = abc = 180 and a, b, c are positive integers, then the value of c is :
A
110

B
25

C
15

D
None

Note: Since a , b, c are positive integer and 180 is not divisible by any of `2^3 , 3^3, 4^5` and `5^3`. So , `a^3b ` = 180 is possible only when `a^3` = 1 and b = 180. `:.`a = 1 and b = 180. Now `a^3b ` = abc =>c = `a^2` = 1.
1. Report
Question: The H.C.F. of `2^2 xx 3^3 xx 5^5` , `2^3 xx 3^2 xx 5^2 xx 7` and `2^4 xx 3^4 xx 5 xx 7^2 xx 11` is ___
A
`2^2 xx 3^2 xx 5 xx 7 xx 11`

B
`2^4 xx 3^4 xx 5^5`

C
`2^4 xx 3^4 xx 5^5 xx 7 xx 11`

D
`2^2 xx 3^2 xx 5`

Note: H.C.F. = product of lowest powers of common factors = `2^2 xx 3^3 xx 5`
1. Report
Question: The H.C.F. of `2^4 xx 3^2 xx 5^3 xx 7` , `2^3 xx 3^3 xx 5^2 xx 7^2` and `3 xx 5 xx 7 xx 11` is:
A
105

B
27720

C
1155

D
2310

Note: H.C.F.= product of lowest powers of common factors = `3 xx 5 xx 7= 105`
1. Report

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Question: When a commodity is sold for Tk 34.80, there is a loss of 35 percent(%). What is the cost price of the commodity?

Question: If the selling price of an article is 4/3 times its cost price, the profit percent is

Question: A retailer buys a radio for Tk 225. His overhead expenses are Tk 15. He sells the radio for Tk 300. The profit percent of the retailer is

Question: The unit's digit in the product `(274 xx 318 xx 577 xx 313)` is :

Question: The digit in the unit place of the number represented by `(7^95 - 3^58)` is :

Question: The total number of prime factor in the expression `(4)^11 xx (7)^5 xx (11)^2` is :

Question: If `a/b = 4/3`, Then `(3a + 2b) / (3a - 2b)`= ?

Question: If `a^3b` = abc = 180 and a, b, c are positive integers, then the value of c is :

Question: The H.C.F. of `2^2 xx 3^3 xx 5^5` , `2^3 xx 3^2 xx 5^2 xx 7` and `2^4 xx 3^4 xx 5 xx 7^2 xx 11` is ___

Question: The H.C.F. of `2^4 xx 3^2 xx 5^3 xx 7` , `2^3 xx 3^3 xx 5^2 xx 7^2` and `3 xx 5 xx 7 xx 11` is: