Latest Questions, General Mathematics

Question: If` x : y = 3 : 4,` then `(2x + 3y) : (3y - 2x) = ?`
A
`2 : 1`

B
`3 : 2`

C
`3 : 1`

D
`21 : 1`

Note: Given `x/y = 3/4` `:. (2x + 3y)/(3y - 2x)` `= (2 (x/y) + 3)/(3 - 2 (x/y)` `= (2 xx (3/4) + 3)/(3 - 2 xx (3/4)` `= 18/6 = 3/1`
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Question: The sum of three numbers is 174. The ratio of second number to the third number is 9 : 16 and the ratio of first number to the third one is 1 : 4. The second number is :
A
24

B
54

C
96

D
can not be determind

Note: A` = 1/2 (B + c) => B + C = 2A => A + B + c = 3A` B` = 1/2 ( A + C) => 4B = A + C => A + B + C = 5B` `:. 3A = 56250 and 5B = 56250 => A = 18750 and B = 11250` `:. A - B = (18750 - 11250) = 7500.`
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Question: 5 mangoes and oranges cost as much as 3 mangoes and 7 oranges. What is the ratio of the cost of one mango to that of one orange ?
A
`4 : 3`

B
`1 : 3`

C
`3 : 2`

D
`5 : 2`

Note: Let cost of each mango be x paise and that of each orange be y paise then `5x + 4y = 3x + 7y => 2x` ` = 3y => x : y = 3 : 2`
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Question: If 35% of A,s income is equal to 25% of B,s income, then the ratio of their incomes is :
A
`4 : 3`

B
`5 : 7`

C
`7 : 5`

D
`4 : 7`

Note: `35/(100) x = 25/(100) y => x/y` `= (25)/(35) = 5/7 => x : y = 5 : 7`
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Question: Last year the ratio between the salaries of A and B was 3 : 4. But the ratio of their individual salaries between last year and this year were 4 : 5 and 2 : 3 respectively. If the sum of their present salaries is Rs. 4160, then how much is the salary of A now ?
A
Rs. 1040

B
Rs. 1600

C
Rs. 2560

D
Rs. 3120

Note: Let their last years salaries be x 3x and 4x. This year,s salaries are `5/4 xx 3x `and ` 3/2 xx 4x i.e (15 x)/4 `and 6x `:. (15 x)/4 + 6x = 4160 => 39 x ` `= 16640 => 3x = 1280` :. A,s salary now` = 5/4 xx 3x = 5/4 xx 1280` `= 1600`
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Question: If` x : 2 1/3 : : 21 : 50,` then the value of x is :
A
`(27)/(50)`

B
`(49)/(50)`

C
`1 1/(50)`

D
`1 1/(49)`

Note: Not available
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Question: If 8 women can grind 180 kg. of wheat in 5 days. in how many days will 28 women grind 3780 kg of wheat ?
A
32

B
45

C
60

D
30

Note: More women, less days (indirect) More kg, more days (direct) women 28 : 8 kg 180 : 3780 :. 5 : x `:. x = ((8 xx 3780 xx 5)/(28 xx 180))` `= 30`
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Question: If 40 men can build a wall 300 m. long in 12 days working 6 hours a day ; how long will 30 men take to build a similar wall 200 m long, working 8 hours a day ?
A
`4 1/2` days

B
8 days

C
`10 1/2` days

D
11 days

Note: Less men more days (indirect) Men 30 : 40 Length 300 : 200 :. 12 : x Hrs/days 8 : 6 `:. x = ((40 xx 200 xx 6 xx 12)/(30 xx 300 8))` `= 8`
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Question: In a fort ration for 2000 people was sufficient for 54 days, After 15 days more people came and the ration lasted only for 20 more days, How many people came ?
A
2500

B
2250

C
1900

D
1675

Note: After 15 days there was ration for 2000 people for 39 days, Suppose x more came More people less days `(2000)/(2000 + x)` `= 20/39 => 78000` `= 40000 + 20x => x = 1900`
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Question: One army camp had ration for 560 soldiers for 20 days, 560 soldiers reported for the camp and after 12 days, 112 soldiers were sent to another camp. For how many days, the remaining soldiers can stay in the camp without getting any new ration ?
A
12

B
16

C
10

D
None

Note: After 12 days there was ration for 560 soldiers for 8 days. Remaining persons - (560 - 112) = 448 Less soldiers, more days `(560)/(448)` ` = x/8 => x = (560 xx 8)/(448) = 10`
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Question: If` x : y = 3 : 4,` then `(2x + 3y) : (3y - 2x) = ?`

Question: The sum of three numbers is 174. The ratio of second number to the third number is 9 : 16 and the ratio of first number to the third one is 1 : 4. The second number is :

Question: 5 mangoes and oranges cost as much as 3 mangoes and 7 oranges. What is the ratio of the cost of one mango to that of one orange ?

Question: If 35% of A,s income is equal to 25% of B,s income, then the ratio of their incomes is :

Question: Last year the ratio between the salaries of A and B was 3 : 4. But the ratio of their individual salaries between last year and this year were 4 : 5 and 2 : 3 respectively. If the sum of their present salaries is Rs. 4160, then how much is the salary of A now ?

Question: If` x : 2 1/3 : : 21 : 50,` then the value of x is :

Question: If 8 women can grind 180 kg. of wheat in 5 days. in how many days will 28 women grind 3780 kg of wheat ?

Question: If 40 men can build a wall 300 m. long in 12 days working 6 hours a day ; how long will 30 men take to build a similar wall 200 m long, working 8 hours a day ?

Question: In a fort ration for 2000 people was sufficient for 54 days, After 15 days more people came and the ration lasted only for 20 more days, How many people came ?

Question: One army camp had ration for 560 soldiers for 20 days, 560 soldiers reported for the camp and after 12 days, 112 soldiers were sent to another camp. For how many days, the remaining soldiers can stay in the camp without getting any new ration ?