General Mathematics

Question: A, B, C hire a meadow for Rs. 1095. If A puts in 10 cows for 20 days; B 30 cows for 8 days and C 16 cows for 9 days, then the rent paid by C is :
A
`Rs. 270`

B
`Rs. 320`

C
`Rs. 450`

D
`Rs. 285`

Note: solution: `A : B : C = 10 xx 20 : 30 xx 8 : 16 xx 9 = 200 : 240 : 144 = 25 : 30 : 18`. `:.` C's rent `= Rs. (1095 xx 18/73)` `= Rs. 270`.
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Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 cows for 5 months, C 35 cows for 4 months ans D 21 cows for 3 months. If A's share of rent is Rs. 720, the total rent of the field is :
A
`Rs. 3000`

B
`Rs. 3200`

C
`Rs. 3250`

D
`Rs. 3300`

Note: solution: `A : B : C : D = 24 xx 3 : 10 xx 5 : 35 xx 4 : 24 xx 3 = 72 : 50 : 140 : 63` Let total rent be `Rs. x`. Then, `A's` share `= Rs. (x xx 72/325)` `:. (72x)/325 = 720 iff x = (720 xx 325)/72` `= 3250`.
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Question: A, B, C start a business jointly. A invests 3 times as much as B invests and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 660. Out of it B's share is:
A
`Rs. 220`

B
`Rs. 120`

C
`Rs. 180`

D
`Rs. 240`

Note: solution: Let `C = x`. Then, `B = 2/3 x & A = 3 xx 2/3 x = 2x`. `A : B : C = 2x : 2/3 x : x = 6 : 2 : 3`. `B's` share `= Rs. (660 xx 2/11)` `= Rs. 120`.
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Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27000, C's share is :
A
`Rs. 9000`

B
`Rs. 11250`

C
`Rs. 10800`

D
`Rs. 8625`

Note: solution: Let `A = x xx 12`. Then, `B = 2x xx 6 & C = 3x xx 4`. `:. A : B : c = 12x : 12x : 12x = 1 : 1 : 1`. `:. C's` share `= Rs. (27000 xx 1/3)` `= Rs. 9000`.
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Question: A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :
A
`Rs. 16000`

B
`Rs. 24000`

C
`Rs. 20000`

D
`Rs. 28000`

Note: solution: Suppose `B` invested `Rs. x` for `y` months. Then `A` invested `Rs. 3x for 2y`months. `:. A : B = 3x xx 2x : x xx y = 6 : 1`. `:. B's` profit : Total profit `= 1 : 7`. `:. 1/7 = (4000)/z` or `z = 28000`.
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Question: The unit's digit in the product `(3127)^173` is:
A
1

B
3

C
7

D
9

Note: Unit digit in `(3127)^173` = Unit digit in `(7)^173` Now, `7^4` gives unit digit 1. `:. 7^172 = (7^6)^43` gives unit digit 1. `:. 7^173` gives unit digit=`(1 xx 7)=7`.
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Question: If the unit digit in the product `(459 xx 46 xx 28` * `xx 484)` is 2, the digit in place of * is:
A
3

B
5

C
7

D
None

Note: ` 9 xx 6 xx 4=216`. In order to obtain 2 at the unit place it must be multiplied by a number whose unit digit is 7. So, * must be replaced by 7.
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Question: The unit's digit in the product `(7^71 xx 6^59 xx 3^65)` is:
A
6

B
4

C
1

D
2

Note: Unit digit in `7^4` is 1. `:.` Unit digit in `7^68` is 1. `:.` Unit digit in `7^71` is 3. [`1 xx 7 xx 7 xx 7` gives unit digit 3] Again, every power of 6 will give unit digit 6. `:.` Unit digit in `6^59` is 6. Clearly, unit digit in `3^4` is 1. So, unit digit in `3^64` is 1. `:.` Unit digit in `3^65` is 3. `:.` Unit digit in `(7^71 xx 6^59 xx 3^65)` is 4. [`3 xx 6 xx 3` gives unit digit 4]
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Question: The unit's digit in the product `(2467)^153 xx (341)^72` is:
A
1

B
3

C
7

D
9

Note: Not available
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Question: Solve the following equation `35999-17102- 8799=(..?...)`
A
27696

B
10098

C
20318

D
None of these

Note: Required number `= 35999-(17102+8799) =35999-25901 =10089`
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Question: A, B, C hire a meadow for Rs. 1095. If A puts in 10 cows for 20 days; B 30 cows for 8 days and C 16 cows for 9 days, then the rent paid by C is :

Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 cows for 5 months, C 35 cows for 4 months ans D 21 cows for 3 months. If A's share of rent is Rs. 720, the total rent of the field is :

Question: A, B, C start a business jointly. A invests 3 times as much as B invests and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 660. Out of it B's share is:

Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27000, C's share is :

Question: A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :

Question: The unit's digit in the product `(3127)^173` is:

Question: If the unit digit in the product `(459 xx 46 xx 28` * `xx 484)` is 2, the digit in place of * is:

Question: The unit's digit in the product `(7^71 xx 6^59 xx 3^65)` is:

Question: The unit's digit in the product `(2467)^153 xx (341)^72` is:

Question: Solve the following equation `35999-17102- 8799=(..?...)`