General Mathematics

Question: Kamal has some apples. He sold `40%` more than he ate. If he sold `70` apples, how many did he eat ?
A
`50`

B
`90`

C
`18`

D
`42`

Note: Suppose he ate x apples. Then, apples sold `= 140% of x` `= (140/100 xx x)` `= (7x)/5` `(7x)/5` `= 70 ⇒ x ` `= 70 xx 5/7` `= 50`
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Question: If `20` men working together can finish a job finish a job in `20` days, then the number of days taken by `25` men of the same capacity to finish the job is :
A
`25`

B
`20`

C
`16`

D
`12`

Note: More men, less days (Indirect) `25 : 20 :: 20 : x` or `25x = 20 xx 20` or `x = ((20 xx 20)/(25))` `= 16`. `:.`Required number of days `= 16`
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Question: If `10` men can reap a field in `8` days, then `8` men will reap the same field in :
A
`5` days

B
`4` days

C
`10` days

D
`20` days

Note: Less men, more days (Indirect) `8 : 10 :: 8 : x` or `8x = 10 xx 8` or `x = ((10 xx 8)/8)` `= 10`. `:.` Required number of days `=10`.
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Question: `14` pumps of equal capacity can fill a tank in 6 days. If the tank has to be filled in `4` days, the number of extra pumps needed is :
A
`7`

B
`14`

C
`21`

D
`28`

Note: Less days, more pumps (Indirect) `4 : 6 :: 14 : x` or `4x = 6 xx 14` or `x = ((6 xx 14)/4)` `= 21`. `:.` Extra pumps needed `=(21 - 14)` `= 7`.
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Question: If `16` men working `7` hours a day can plough a field in `48` days, in how many days will `14` men working `12` hours a day plough the same field ?
A
`46`

B
`35`

C
`32`

D
`30`

Note: Less men, more days (Indirect) More hrs/day, less days (Indirect) men `{:(14 : 16 text(Hrs/Day,)),(12 : 7 )} :: 48 : x` `:. 14 xx 12 xx x = 16 xx 7 xx 48` or `x = ((16 xx 7 xx 48)/(14 xx 12))` `= 32`. `:.` Required number of days `= 32`.
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Question: `5/9` part of the population in a village are males. If `30%` of the males are married, the percentage of unmarried females in the total population is :
A
`70%`

B
`40%`

C
`27 7/9%`

D
`20%`

Note: Let, total population `= x, Males` `= 5/(9) x.` Married males `= 30% of 5/(9) x` `= 30/100 xx 5/(9) x` `= x/6. Married females `= x/6. Total females `= (x - 5/(9) x)` `= (4x)/9` Unmarried percentage `= ((4x)/9 - x/6)` `= (5x)/18` :. Required percentage `= ((5x)/18 xx 1/x xx 100)%` `= 27 7/9%`
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Question: In an examination `1100` boys and `900` girls appeared. `50%` of the boys and `40%` of the girls passed the examination. The percentage of candidates failed is :
A
`45`

B
`45.5`

C
`54.5`

D
`59.2`

Note: Number of failures `= (50% of 1100 + 60% of 900)` `= (50/100 xx 1100 + 60/100 xx 900)` `= 1090.` Required percentage `= (1090/2000 xx 100)%` `= 54.5%`
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Question: A school has only three classes which contain `40, 50` and `60` students respectively. The pass percentage of the school is :
A
`13 1/3`

B
`15`

C
`20`

D
`16 2/3`

Note: Number of passed candidates `= (10/100 xx 40 + 20/100 xx 50 + 10/100 xx 60)` `= (4 + 10 + 6)` `= 20` Pass percentage `= 20/((40 + 50 + 60)) xx 100` `= (20/150 xx 100)%` `13 1/3 %`
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Question: `30%` of A ,s salary is equal to `20%` of `3/5 th` of B's salary. If B's salary is Rs. `2400,` what is A' s salary ?
A
`Rs. 1880`

B
`Rs. 1000`

C
`Rs. 960`

D
`Rs. 2160`

Note: `30% A` `= 20% of 3/5 B ⇒ (30A)/100` `= 20/100 xx 3/5 B` `:. A = 20/100 xx 3/5 xx 100/30 B` `= 2/5 B` `= (2/5 xx 2400)` `= 960`
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Question: Alekh secured `50%` marks in Hindi, `605` in English and `70%` in Maths as well as in Science. What were his total marks if the maximum marks obtainable in each of these `4` subjects was `50 ?`
A
`125`

B
`120`

C
`250`

D
`150`

Note: Total marks `= 50% of 50 + 60% of 50 + 70% of 50 + 70% of 50` `= (50/100 xx 50 + 60/100 xx 50 + 70/100 xx 50)` `= (25 + 30 35 + 35)` `= 125`
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Question: Kamal has some apples. He sold `40%` more than he ate. If he sold `70` apples, how many did he eat ?

Question: If `20` men working together can finish a job finish a job in `20` days, then the number of days taken by `25` men of the same capacity to finish the job is :

Question: If `10` men can reap a field in `8` days, then `8` men will reap the same field in :

Question: `14` pumps of equal capacity can fill a tank in 6 days. If the tank has to be filled in `4` days, the number of extra pumps needed is :

Question: If `16` men working `7` hours a day can plough a field in `48` days, in how many days will `14` men working `12` hours a day plough the same field ?

Question: `5/9` part of the population in a village are males. If `30%` of the males are married, the percentage of unmarried females in the total population is :

Question: In an examination `1100` boys and `900` girls appeared. `50%` of the boys and `40%` of the girls passed the examination. The percentage of candidates failed is :

Question: A school has only three classes which contain `40, 50` and `60` students respectively. The pass percentage of the school is :

Question: `30%` of A ,s salary is equal to `20%` of `3/5 th` of B's salary. If B's salary is Rs. `2400,` what is A' s salary ?

Question: Alekh secured `50%` marks in Hindi, `605` in English and `70%` in Maths as well as in Science. What were his total marks if the maximum marks obtainable in each of these `4` subjects was `50 ?`