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question_answer1)
The ratio of the volume of three buckets is 3 : 4 : 5. Buckets contains the mixture of water and alcohol. If the mixture contains water and alcohol in the ratio 1 : 4, 1: 3 and 2 : 5, respectively then find the ratio of water and alcohol when the mixture in all containers are poured in fourth container.
A)
35 : 57 done
clear
B)
53:157 done
clear
C)
157 : 53 done
clear
D)
35 : 157 done
clear
E)
None of these done
clear
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question_answer2)
Compounded ratio of (x + y):(x - y), \[\left( {{\mathbf{x}}^{\mathbf{2}}}+\text{ }{{\mathbf{y}}^{\mathbf{2}}} \right)\text{ }:\text{ }{{\left( \mathbf{x}+\text{ }\mathbf{y} \right)}^{\mathbf{2}}}\mathbf{and}\text{ }\left( {{\mathbf{x}}^{\mathbf{2}}}-\text{ }{{\mathbf{y}}^{\mathbf{2}}} \right)\text{ }:\text{ }\left( {{\mathbf{x}}^{\mathbf{4}}}-\text{ }{{\mathbf{y}}^{\mathbf{4}}} \right)\]is:
A)
(x + y) : 1 done
clear
B)
(x - y) : (x + y) done
clear
C)
\[(1 : \left( {{x}^{2}}- {{y}^{2}} \right)\] done
clear
D)
\[\left( {{x}^{2}}+ {{y}^{2}} \right) : \left( {{x}^{2}}- {{y}^{2}} \right)\] done
clear
E)
None of these done
clear
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question_answer3)
The monthly income of X and Y are in the ratio of 4 : 5 and their monthly expenditure are in the ratio 7 : 9. If both save $100 per month then monthly expenditure of X will be:
A)
$ 800 done
clear
B)
$ 700 done
clear
C)
$ 200 done
clear
D)
None of these done
clear
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question_answer4)
A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.
A)
1 : 2 done
clear
B)
4 : 5 done
clear
C)
3 : 4 done
clear
D)
7 : 4 done
clear
E)
None of these done
clear
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question_answer5)
In a container, water and milk are mixed in the ratio 5 : 3. If 16 litres of mixture are removed and same quantity of milk be added then the ratio becomes 3 : 5. What is the volume of the container?
A)
40 done
clear
B)
50 done
clear
C)
60 done
clear
D)
70 done
clear
E)
None of these done
clear
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question_answer6)
The ratio of ages of Marry and Mariya is 4 : 5. After 12 years their ratio becomes 5 : 6. What will be the age of Marry after 2 years?
A)
49 done
clear
B)
50 done
clear
C)
60 done
clear
D)
70 done
clear
E)
None of these done
clear
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question_answer7)
In a certain year the population of London is 200000. If it increases at the rate of 6.5 % per annum then what will be its population after 2 years?
A)
226845 done
clear
B)
228645 done
clear
C)
224685 done
clear
D)
228465 done
clear
E)
None of these done
clear
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question_answer8)
Stephen's mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?
A)
5 done
clear
B)
4 done
clear
C)
1 done
clear
D)
3 done
clear
E)
None of these done
clear
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question_answer9)
If the duty on an article be reduced by 40% of its present amount, then by how much percent must the consumption be increased in order that the revenue may remain unaltered?
A)
50 % done
clear
B)
\[166\frac{2}{3}\,\,%\] done
clear
C)
40% done
clear
D)
20 % done
clear
E)
None of these done
clear
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question_answer10)
What is the total number of candidates appear in an examination, if 31% is fail and the number of passed candidates are 247 more than the number of fail candidates?
A)
650 done
clear
B)
750 done
clear
C)
800 done
clear
D)
900 done
clear
E)
None of these done
clear
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question_answer11)
Find the value of (3a + 5b)3
A)
\[27{{a}^{3}}+ 125{{b}^{3}}+ 135{{a}^{2}}b + 2225a{{b}^{2}}\] done
clear
B)
\[27{{a}^{3}} 125{{b}^{3}} 135{{a}^{2}}b + 2225a{{b}^{2}}\] done
clear
C)
\[27{{a}^{2}}+ 155{{b}^{2}} 135{{a}^{2}}b - 225{{a}^{2}}b\] done
clear
D)
\[29{{a}^{2}} 156{{b}^{2}} 156{{a}^{2}}b -225{{a}^{4}}c\] done
clear
E)
None of these done
clear
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question_answer12)
Find the cube of x - 2y.
A)
\[{{\operatorname{x}}^{3}}+ 8{{y}^{2}}+6{{x}^{2}}y- 12x{{y}^{3}}\] done
clear
B)
\[{{\operatorname{x}}^{3}} 8{{y}^{3}}-6{{x}^{2}}y + 12x{{y}^{2}}\] done
clear
C)
\[{{\operatorname{x}}^{2}}+ 87y + 7xy - 7xy\] done
clear
D)
\[7x{{y}^{3}}- 6x - 74{{x}^{2}}y + 2xy\] done
clear
E)
None of these done
clear
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question_answer13)
The factor of 4p2 + q2 + 16 - 4pq + 8q - 16p is:
A)
(-2p - q + 4) (-2p + q + 4) done
clear
B)
(2p + q + 4) (2p +q + 4) done
clear
C)
(-2p + q + 4) (-2p + q + 4) done
clear
D)
(-2p + q - 4) (-2p + q - 4) done
clear
E)
None of these done
clear
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question_answer14)
If \[\mathbf{x -}\frac{\mathbf{1}}{\mathbf{x}}\mathbf{= 2}\], then find the value of\[{{\mathbf{x}}^{\mathbf{3}}}\mathbf{ -}\frac{\mathbf{1}}{{{\mathbf{x}}^{\mathbf{3}}}}\] .
A)
14 done
clear
B)
17 done
clear
C)
16 done
clear
D)
15 done
clear
E)
None of these done
clear
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question_answer15)
Factories: \[27{{x}^{3}}+ 64{{y}^{3}}+ 108{{x}^{2}}+ 144x{{y}^{2}}\].
A)
\[{{\left( 3x + 4y \right)}^{3}}\] done
clear
B)
\[{{\left( 2x + 4y \right)}^{2}}\] done
clear
C)
\[{{\left( 3x - 4y \right)}^{2}}\] done
clear
D)
\[{{\left( 9x + 2y \right)}^{6}}\] done
clear
E)
None of these done
clear
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question_answer16)
What should be added to the sum of \[\left( {{x}^{2}}+ {{y}^{2}}+ xy \right) and \left( 4{{x}^{2}}+ 4xy \right) to get\]\[\left( 2{{x}^{2}}+ 3xy \right)\]?
A)
\[\left( 3{{x}^{2}}+ {{y}^{2}}+ 2xy \right)\] done
clear
B)
\[(3{{x}^{2}}-{{y}^{2}}-2xy)\] done
clear
C)
\[-\left( 3{{x}^{2}}+ {{y}^{2}}+ 2xy \right)\] done
clear
D)
\[\left( -3{{x}^{2}}+ {{y}^{2}}+ 2xy \right)\] done
clear
E)
None of these done
clear
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question_answer17)
A steamer goes downstream from one port to another in 6 hours. It covers the same distance up stream in 7 hours. If the speed of the stream is 2km/hours then find the speed of the steamer in still water.
A)
20 km/h done
clear
B)
30 km/h done
clear
C)
26 km/h done
clear
D)
48 km/h done
clear
E)
None of these done
clear
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question_answer18)
The sum of the digits of a two digit number is 10. The number obtained by interchanging the digits exceeds the original number by 54, find the original number.
A)
29 done
clear
B)
28 done
clear
C)
55 done
clear
D)
95 done
clear
E)
None of these done
clear
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question_answer19)
A monkey climbing up a pole ascends 10 metres and slips down 2 metres in alternative minutes. If the pole is 57 metres high, how long will take him to reach the top of pole?
A)
14 minutes, 6 seconds done
clear
B)
16 minutes, 4 seconds done
clear
C)
20 minutes, 30 seconds done
clear
D)
10 minutes, 18 seconds done
clear
E)
None of these done
clear
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question_answer20)
Two trams of equal length are running on parallel tracks in the same direction at 46 km per hour. The faster train passes the slower train in 36 seconds, the length of each train is:
A)
46 m done
clear
B)
33 m done
clear
C)
53 m done
clear
D)
cannot be determined done
clear
E)
None of these done
clear
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question_answer21)
The denominator of a number is greater than its numerator by 8. If the numerator increased by one, the number obtained is\[\frac{\mathbf{2}}{\mathbf{3}}\]. The number is:
A)
\[\frac{3}{11}\] done
clear
B)
\[\frac{13}{21}\] done
clear
C)
\[\frac{11}{19}\] done
clear
D)
\[\frac{14}{22}\] done
clear
E)
None of these done
clear
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question_answer22)
The perimetre of a rectangle is 100 m. If the length is decreased by 2 m and the breadth is increased by 3 m then area increased by 44 m2. Find the length and breadth of the rectangle.
A)
30 m, 20 m done
clear
B)
40 m, 30 m done
clear
C)
50 m, 40 m done
clear
D)
100 m, 90 m done
clear
E)
None of these done
clear
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question_answer23)
A number is 7 less than the other and its square is 77 less than the square of the greater number. The smaller number is:
A)
9 done
clear
B)
1 done
clear
C)
4 done
clear
D)
5 done
clear
E)
None of these done
clear
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question_answer24)
The ratio of two smaller sides of a right-angled triangle is 4 : 3, A rectangle is on the largest side of the triangle in such a way that largest side will be the length of the rectangle. The breadth of rectangle is four fifth of its length. Find the length of shortest side of triangle if the perimetre of rectangle is 1.8 m.
A)
60 cm done
clear
B)
40 cm done
clear
C)
15 cm done
clear
D)
30 cm done
clear
E)
None of these done
clear
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question_answer25)
Find the dimension of rectangle when its length is 20 m more than its width. If its width is reduced by 20 m and length is increased by 100 m then the perimetre will be twice the perimetre of original one.
A)
30 m, 50 m done
clear
B)
40 m, 60 m done
clear
C)
20 m, 40 m done
clear
D)
10 m, 30 m done
clear
E)
None of these done
clear
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question_answer26)
Evaluate \[{{\left[ {{\left( \frac{\mathbf{36}}{\mathbf{25}} \right)}^{\frac{\mathbf{3}}{\mathbf{2}}}} \right]}^{\frac{\mathbf{5}}{\mathbf{3}}}}\]
A)
\[\frac{7776}{3125}\] done
clear
B)
1 done
clear
C)
\[\frac{75}{31}\] done
clear
D)
2 done
clear
E)
None of these done
clear
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question_answer27)
Evaluate: \[{{\left[ {{\left\{ {{\left( \frac{\mathbf{1}}{\mathbf{x}} \right)}^{\mathbf{-12}}} \right\}}^{\frac{\mathbf{1}}{\mathbf{4}}}} \right]}^{\mathbf{-}\frac{\mathbf{2}}{\mathbf{3}}}}\]
A)
\[\frac{1}{x}\] done
clear
B)
\[\frac{1}{{{x}^{2}}}\] done
clear
C)
\[\frac{1}{{{x}^{3}}}\] done
clear
D)
\[\frac{1}{{{x}^{4}}}\] done
clear
E)
None of these done
clear
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question_answer28)
Find the value of x, if\[{{\mathbf{(}\sqrt{\mathbf{6}}\mathbf{)}}^{\mathbf{x-2}}}\mathbf{=1}\].
A)
1 done
clear
B)
2 done
clear
C)
3 done
clear
D)
4 done
clear
E)
None of these done
clear
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question_answer29)
The value of \[\frac{{{\mathbf{2}}^{\mathbf{x+3}}}\mathbf{\times }{{\mathbf{3}}^{\mathbf{2x-y}}}\mathbf{\times }{{\mathbf{5}}^{\mathbf{x+y+3}}}\mathbf{\times }{{\mathbf{6}}^{\mathbf{y+1}}}}{{{\mathbf{6}}^{\mathbf{x+1}}}\mathbf{\times 1}{{\mathbf{0}}^{\mathbf{y+3}}}\mathbf{\times 1}{{\mathbf{5}}^{\mathbf{x}}}}\]is:
A)
1 done
clear
B)
0 done
clear
C)
-1 done
clear
D)
10 done
clear
E)
None of these done
clear
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question_answer30)
If \[{{9}^{p - 1}}+ 18 = {{3}^{2P - 1}}\] then which one of the following options is incorrect?
A)
p is a natural number done
clear
B)
\[\operatorname{p} = 2\] done
clear
C)
\[1 < p < 4\] done
clear
D)
Can't determine for natural numbers done
clear
E)
None of these done
clear
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