General Mathematics

Question: A woker may claim `15` p for each km which he travels by taxi and `5`p for each km which he drives his own car.If in one week he claimed Rs `5` for travlling `80`km how many kms did he travel by taxi ?
A
`10`

B
`20`

C
`30`

D
`40`

Note: Let the distance covered by taxi be x km Then, distance covered by car `= (80 - x)` km. `15/100 (x) + 5/100 (80 - x) = 5` or `(3x)/20 + (80 - x)/20 = 5` or `3x + 80 -x = 100` or `x = 10 km`
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Question: In an examination , a student scores `4`marks for every correct answar and loses `1`mark for every wrong answar.If he attempts all `75` question and secures `125`marks, the number of question he attempts correctly,is :
A
`35`

B
`40`

C
`42`

D
`46`

Note: Let the number of correct answars be x, Number of incorrect answars `= (75 - x)`. `4x - (75 - x) = 125` `or 5x = 200` `or x = 40`.
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Question: Each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys in a class of `60`students .If the total contribution thus collected is Rs `1600`,how many boys are there in the class ?
A
`30`

B
`25`

C
`50`

D
Data inadequate

Note: Let the number of boys `= x` Then,number of girls`= (60 - x)`. :.`x(60 - x) + (60 - x) x = 1600` or `60x - x^2 + 60x - x^2 = 1600` or `2x^2 - 120x + 1600 = 0` or `x^2 - 60x + 800 = 0` or `(x - 40)(x - 20)=0` :.`x = 40` or `20` So,we are not definite .Hence data is inadequate.
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Question: The value of `36`coins of `10`p and `20`p is Rs `6.60`.The number of `20` p coins is :
A
`16`

B
`20`

C
`28`

D
`30`

Note: Let the number of `20`paise coins be x. Then,number of `10` paise coins `= (36 - x). `10 (36 - x) + 20x = 660` `or 10x = 300` `or x = 30`.
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Question: Madhuri had `85`currency notes in all, some of which are of Rs `100` denomination and the remaining of Rs `50`denomination.The total amount of all these currency notes was Rs `5000`.How much amount (in Rs) did she have in the denomination of Rs `50`.
A
`3500`

B
`70`

C
`1500`

D
None of these

Note: Let the number of `50`rupee notes `= x` Then, the number of `100`-rupee notes `= (85 - x)`. `50x + 100 (85 - x) = 5000` `or x + 2 (85 - x)= 100` `or x = 70`
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Question: The sum of three fraction is `2 11/24`.When the largest fraction is divided by the smallest, the fraction thus obtained is `7/6` which is `1/3` more than the middle one. The fractions are :
A
`3/5,4/7,2/3`

B
`7/8,5/6,3/4`

C
`7/9,2/3,3/5`

D
None of these

Note: Let largest fraction be x and smallest be y. Then` x/y = 7/6` `or y = 6/7 x` Let the middle one be z Then,` x + 6/7 x + z = 59/24` `:. z = (59/24 - (13x)/7)` `:. 59/24 - (13x)/7 + 1/3 = 7/6` `or (13x)/7 = 59/24 + 1/3 - 7/6` `= (59 + 8 - 28)/24` `= (13x)/7 = 39/24` `or x = (39/24 xx 7/13) = 7/8` `:. x = 7/8, y = 6/7 xx 7/8= 3/4 ` `& z = 59/24 - 13/7 xx 7/8` `= 20/24` `= 5/6` :. Fraction are `7/8,5/6,3/4`
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Question: A number of friends decided to go on a picnic and planed to spend Rs `96` on eatables. Four of them ,did not turn up.As a consequence, the remaining ones had to contributed Rs `4` each extra.The number of these who attended the picic was
A
`24`

B
`16`

C
`12`

D
`8`

Note: Suppose total number = x.Then, `96/(x - 4) - 96/x = 4` `or 1/(x - 4) - 1/x = 4/96` `or x- (x - 4)/x(x - 4) = 1/24` `or x^2 - 4x - 96 = 0` `or (x - 12)(x + 8) = 0` `or x = 12`. :. Number of students attending the picnic `= (12 - 4) = 8`
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Question: A man distributed Rs `100` equally among his friends. If there had been `5` more friends, each would have received one upee less. How many friends had he /
A
`20`

B
`25`

C
`30`

D
`35`

Note: Suppose he had x friends. Then, `100/x - 100/(x + 5) = 1` `or 1/x - 1/(x + 5) = 1/100` `(x + 5 - x)/(x(x + 5)) = 1/100` `or x^2 + 5x - 500 = 0` `or (x + 25) (x - 20) = 0` `:. x = 20`.
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Question: In a group of cows and hens, the number of legs are `14` more than twice the number of heads. The number of cows is
A
`5`

B
`7`

C
`10`

D
`12`

Note: Let the number of cows be x and the number of hens be y.Then, `4x + 2y = 2(x +y) + 14` `or 2x + (2x + 2y)` `= (2x + 2y) + 14` `or 2x = 14` `or x = 7`.
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Question: An enterprising businessman earns an income of Rs `1` on the first day of his business.On every subsequent day ,he earns an income which is just double of that made on the previous day.On `10 th` day of business, he earns an income of :
A
`Rs 2^9`

B
`Rs 2^10`

C
Rs10^2`

D
`Rs`10`

Note: 2nd day he earns `= 2 = 2^(2-1)` 3rd day he earns `= 2^(3-1)` On `10 th`day he earns `2^(10- 1) = 2^9` rupees.
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Question: A woker may claim `15` p for each km which he travels by taxi and `5`p for each km which he drives his own car.If in one week he claimed Rs `5` for travlling `80`km how many kms did he travel by taxi ?

Question: In an examination , a student scores `4`marks for every correct answar and loses `1`mark for every wrong answar.If he attempts all `75` question and secures `125`marks, the number of question he attempts correctly,is :

Question: Each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys in a class of `60`students .If the total contribution thus collected is Rs `1600`,how many boys are there in the class ?

Question: The value of `36`coins of `10`p and `20`p is Rs `6.60`.The number of `20` p coins is :

Question: Madhuri had `85`currency notes in all, some of which are of Rs `100` denomination and the remaining of Rs `50`denomination.The total amount of all these currency notes was Rs `5000`.How much amount (in Rs) did she have in the denomination of Rs `50`.

Question: The sum of three fraction is `2 11/24`.When the largest fraction is divided by the smallest, the fraction thus obtained is `7/6` which is `1/3` more than the middle one. The fractions are :

Question: A number of friends decided to go on a picnic and planed to spend Rs `96` on eatables. Four of them ,did not turn up.As a consequence, the remaining ones had to contributed Rs `4` each extra.The number of these who attended the picic was

Question: A man distributed Rs `100` equally among his friends. If there had been `5` more friends, each would have received one upee less. How many friends had he /

Question: In a group of cows and hens, the number of legs are `14` more than twice the number of heads. The number of cows is

Question: An enterprising businessman earns an income of Rs `1` on the first day of his business.On every subsequent day ,he earns an income which is just double of that made on the previous day.On `10 th` day of business, he earns an income of :