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question_answer1)
Find the solution of \[\frac{\mathbf{4y+1}}{\mathbf{3}}\mathbf{+}\frac{\mathbf{2y-1}}{\mathbf{2}}\mathbf{-}\frac{\mathbf{3y-7}}{\mathbf{5}}\mathbf{=6}\mathbf{.}\]
A)
1 done
clear
B)
\[-2\frac{11}{4}\] done
clear
C)
\[-\frac{11}{4}\] done
clear
D)
\[2\frac{3}{4}\] done
clear
E)
None of these done
clear
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question_answer2)
If \[\mathbf{6}\mathbf{.5n+}\frac{\mathbf{19}\mathbf{.5n-32}\mathbf{.5}}{\mathbf{2}}\mathbf{=6}\mathbf{.5n-13-}\left( \frac{\mathbf{13n-26}}{\mathbf{2}} \right)\] , then find the value of n.
A)
0 done
clear
B)
5 done
clear
C)
2 done
clear
D)
1 done
clear
E)
None of these done
clear
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question_answer3)
The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions and the distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/h, find the speed of each car.
A)
25 km/h, 40 km/h done
clear
B)
40 km/h, 50 km/h done
clear
C)
20 km/h, 40 km/h done
clear
D)
30 km/h/40 km/h done
clear
E)
None of these done
clear
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question_answer4)
A store has provision which would last for a certain number of men for 21 days. For one seventh of the men it will last for how many days?
A)
147 done
clear
B)
158 done
clear
C)
129 done
clear
D)
174 done
clear
E)
None of these done
clear
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question_answer5)
Factorise the given polynomial \[\frac{\mathbf{9}}{\mathbf{16}}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}\frac{\mathbf{4}}{\mathbf{9}}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+4}{{\mathbf{z}}^{\mathbf{2}}}\mathbf{-xy-}\frac{\mathbf{8}}{\mathbf{3}}\mathbf{yz+3zx}\mathbf{.}\]
A)
\[{{\left( \frac{3}{4}x-\frac{2}{3}y+2z \right)}^{2}}\] done
clear
B)
\[{{\left( \frac{3}{4}x+\frac{2}{3}y+2z \right)}^{2}}\] done
clear
C)
\[{{\left( \frac{3}{4}x+\frac{2}{3}y-2z \right)}^{2}}\] done
clear
D)
\[{{\left( \frac{3}{4}x-\frac{2}{3}y-2z \right)}^{2}}\] done
clear
E)
None of these done
clear
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question_answer6)
Simplify the given expression: \[\frac{\mathbf{0}\mathbf{.86\times 0}\mathbf{.86\times 0}\mathbf{.86+0}\mathbf{.14\times 0}\mathbf{.14\times 0}\mathbf{.14}}{\mathbf{0}\mathbf{.86\times 0}\mathbf{.86-0}\mathbf{.86\times 0}\mathbf{.14+0}\mathbf{.14\times 0}\mathbf{.14}}\].
A)
1 done
clear
B)
0 done
clear
C)
2 done
clear
D)
-1 done
clear
E)
None of these done
clear
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question_answer7)
The value of \[\left( \mathbf{x-y} \right)\left( \mathbf{x+y} \right)\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\mathbf{\{}{{\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\mathbf{-2}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{\}}\] is:
A)
\[{{x}^{8}}-{{y}^{8}}\] done
clear
B)
\[{{x}^{8}}+{{y}^{8}}\] done
clear
C)
\[{{x}^{6}}-{{y}^{6}}\] done
clear
D)
\[{{x}^{6}}+{{y}^{6}}\] done
clear
E)
None of these done
clear
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question_answer8)
The product of \[\left( \mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\] and \[\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+3}{{\mathbf{y}}^{\mathbf{2}}} \right)\] is_____.
A)
\[{{x}^{3}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\] done
clear
B)
\[3{{x}^{2}}+5{{x}^{5}}{{y}^{2}}+3{{y}^{4}}\] done
clear
C)
\[6{{x}^{5}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\] done
clear
D)
\[6{{x}^{4}}+11{{x}^{2}}{{y}^{2}}+3{{y}^{4}}\] done
clear
E)
None of these done
clear
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question_answer9)
Find the quotient of polynomial if \[{{\mathbf{y}}^{\mathbf{3}}}\mathbf{-6}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+9y-2}\] is divided by \[\mathbf{y}-\mathbf{2}.\]
A)
\[{{y}^{2}}+4y+1\] done
clear
B)
\[{{y}^{2}}-4y+1\] done
clear
C)
\[{{y}^{2}}+4y-1\] done
clear
D)
\[{{y}^{2}}-4y-1\] done
clear
E)
None of these done
clear
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question_answer10)
Find the remainder when \[\mathbf{5}{{\mathbf{m}}^{\mathbf{3}}}\mathbf{-13}{{\mathbf{m}}^{\mathbf{2}}}\mathbf{+15m+7}\] is divided by \[\mathbf{4-3m+}{{\mathbf{m}}^{\mathbf{2}}}\mathbf{.}\]
A)
m - 1 done
clear
B)
m + 1 done
clear
C)
2m + 1 done
clear
D)
2m ? l done
clear
E)
None of these done
clear
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question_answer11)
If \[\mathbf{x+}\frac{\mathbf{1}}{\mathbf{x}}\mathbf{=6}\], then the value of \[{{\mathbf{x}}^{\mathbf{4}}}\mathbf{+}\frac{\mathbf{1}}{{{\mathbf{x}}^{\mathbf{4}}}}\mathbf{=}\]
A)
526 done
clear
B)
1154 done
clear
C)
1528 done
clear
D)
529 done
clear
E)
None of these done
clear
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question_answer12)
What must be subtracted from \[\mathbf{4p}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-2pq-v+5}\,\,\mathbf{to}\,\,\mathbf{get}\,\,\mathbf{-}{{\mathbf{q}}^{\mathbf{2}}}\mathbf{+pq-8}{{\mathbf{q}}^{\mathbf{2}}}\mathbf{-2v+6}\]?
A)
\[4p{{x}^{2}}+3{{q}^{2}}-3pq+v-1\] done
clear
B)
\[5{{q}^{2}}-3pq+8pq+2{{q}^{2}}+v-1\] done
clear
C)
\[-5\,{{p}^{2}}+3pq-2{{q}^{2}}-v+1\] done
clear
D)
\[-3{{p}^{2}}+p\,q+14{{q}^{2}}+3v-11\] done
clear
E)
None of these done
clear
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question_answer13)
Divide \[\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{-5}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+8x-5} \right)\,\,\mathbf{by}\,\,\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-3x+5} \right)\] and find the quotient.
A)
\[x+5\] done
clear
B)
\[x+4\] done
clear
C)
\[x-1\] done
clear
D)
\[x+2\] done
clear
E)
None of these done
clear
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question_answer14)
Which one of the following expressions is equal to \[\mathbf{64}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+9}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-48xy}\]?
A)
\[{{\left( 8x+3y \right)}^{2}}\] done
clear
B)
\[{{\left( 5x-y \right)}^{2}}\] done
clear
C)
\[{{\left( 8x-3y \right)}^{2}}\] done
clear
D)
\[{{\left( 5x-2y \right)}^{2}}\] done
clear
E)
None of these done
clear
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question_answer15)
Evaluate \[{{\left( \frac{\mathbf{-1728}}{\mathbf{2744}} \right)}^{\frac{\mathbf{2}}{\mathbf{3}}}}{{\left( \frac{\mathbf{4096}}{\mathbf{9216}} \right)}^{\frac{\mathbf{1}}{\mathbf{2}}}}\mathbf{-}{{\left( \frac{\mathbf{729}}{\mathbf{343}} \right)}^{\frac{\mathbf{2}}{\mathbf{3}}}}\]
A)
0 done
clear
B)
\[\frac{4208}{2152}\] done
clear
C)
\[-\frac{57}{49}\] done
clear
D)
\[\frac{2152}{4208}\] done
clear
E)
None of these done
clear
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question_answer16)
Evaluate \[{{\left[ {{\left( \sqrt{\frac{\mathbf{2}}{\mathbf{3}}} \right)}^{\mathbf{2}}}\mathbf{-}\sqrt[\mathbf{3}]{\frac{\mathbf{8}}{\mathbf{27}}} \right]}^{\mathbf{1000}}}\]
A)
0 done
clear
B)
1 done
clear
C)
2 done
clear
D)
-1 done
clear
E)
None of these done
clear
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question_answer17)
There are two neighbours, one has 6 oxen and other has 8 cows, and they have common field for the grazing of the cattle. They use the field for their cattle turn wise for feeding them. The 6 oxen or the 8 cows can graze the field in 25 days. In how much time will 1 ox and 2 cows graze the same field if left together?
A)
40 days done
clear
B)
60 days done
clear
C)
50 days done
clear
D)
55 days done
clear
E)
None of these done
clear
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question_answer18)
Thomas needs some money for the construction work of his house and he does not have enough money for this work. He decides to lend the money from the money lender. He borrows Rs 2750 at the rate of 12% and lend the same amount to his friend at the rate of 18% per annum as he decides to postpone his work for some time because his friend needs the amount urgently. His friend pays him back the amount after two years and he returns the due amount to the money lender. The amount of money he earns from this transaction is:
A)
Rs. 250 done
clear
B)
Rs. 330 done
clear
C)
Rs. 450 done
clear
D)
Rs. 340 done
clear
E)
None of these done
clear
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question_answer19)
A publishing house recruit 6 typists to type the manuscript of a book. If all the typists work for 5 hours a day, they take 16 days to complete the work. Due to some reason two typists leave the work before it starts and hence the company is left with only 4 typists to complete the work. In how many days will 4 typists complete the same job working 6 hour a day?
A)
20 days done
clear
B)
15 days done
clear
C)
10 days done
clear
D)
12 days done
clear
E)
None of these done
clear
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question_answer20)
In an army of 1000 soldiers there is a provision of food for 48 days when they are in remote areas for their duty or on the war. Due to infiltration of enemy 600 more soldiers are inducted in the group so that they can fight with the situation of urgency. For how many days will the given food last in the canteen?
A)
12 days done
clear
B)
30 days done
clear
C)
45 days done
clear
D)
60 days done
clear
E)
None of these done
clear
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