The value of \[\left( 5\,{{a}^{6}} \right)\times \left( -10\,a{{b}^{2}} \right)\times \left( 2.1\,{{a}^{2}}\,{{b}^{3}} \right)\] for \[a=1\] & \[b=\frac{1}{2}\] is:
A)
\[-\frac{105}{32}\]
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B)
\[\frac{100}{3}\]
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C)
\[\frac{15}{101}\]
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D)
0
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E)
None of these
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If\[x=\sqrt[3]{2\frac{93}{125}},\] then the value of x is:
A)
\[1\,\,\frac{2}{5}\]
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B)
\[2\,\,\frac{1}{5}\]
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C)
\[3\,\,\frac{4}{5}\]
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D)
\[4\,\,\frac{1}{5}\]
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E)
None of these
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If 23 % of a is 46, then find the value of a.
A)
150
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B)
175
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C)
200
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D)
160
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E)
None of these
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If 40 metre of a cloth costs Rs. 1940, how many metres can be bought for Rs. 727.5?
A)
10 metre
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B)
15 metre
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C)
12 metre
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D)
18 metre
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E)
None of these
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A shopkeeper buys a toy for Rs. 250 and sells if for Rs. 285. Find his gain percent.
A)
\[14%\]
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B)
\[15%\]
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C)
\[13\,\,\frac{1}{2}%\]
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D)
\[13%\]
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E)
None of these
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The value of x in \[\frac{16}{7}\times \frac{16}{7}\times \frac{16}{7}-\frac{x}{2}\times \frac{16}{7}\times \frac{8}{7}\times \frac{8}{7}=0\] is equal to:
A)
\[-11\]
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B)
8
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C)
9
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D)
\[-8\]
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E)
None of these
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Find the value of: \[\sqrt[3]{\frac{0.027}{0.008}}-\sqrt{\frac{0.09}{0.04}}-1\]
A)
1
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B)
\[-1\]
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C)
0
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D)
\[\frac{3}{2}\]
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E)
None of these
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Find the sum of \[5{{x}^{2}}-\frac{x}{3}+\frac{5}{2},\] \[\frac{-1}{2}{{x}^{2}}+\frac{x}{2}-\frac{1}{3}\]and\[-2{{x}^{2}}-\frac{x}{5}-\frac{1}{6}\].
A)
\[\frac{2}{3}{{x}^{2}}-\frac{7x}{11}+1\]
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B)
\[\frac{5}{2}{{x}^{2}}-\frac{1}{30}x+2\]
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C)
\[\frac{1}{5}{{x}^{2}}+\frac{13x}{30}+3\]
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D)
\[\frac{1}{3}{{x}^{2}}+\frac{2}{3}x+5\]
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E)
None of these
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Simplify: \[\frac{{{(0.6)}^{3}}+{{(0.5)}^{3}}}{{{(0.5)}^{2}}-(0.6)\,\,(0.5)+{{(0.6)}^{2}}}\times {{(3)}^{3}}\]
A)
29.7
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B)
28.7
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C)
8.8
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D)
20.7
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E)
None of these
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Which one of the following rational numbers lies between \[\frac{45}{78}\] and \[\frac{26}{52}\]?
A)
\[\frac{75}{156}\]
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B)
\[\frac{84}{156}\]
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C)
\[\frac{95}{156}\]
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D)
\[\frac{105}{156}\]
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E)
None of these
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Find the sum \[\frac{xyz}{abc}+\frac{abc}{xyz}\]
A)
\[\frac{xyz}{abc}\]
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B)
\[\frac{{{x}^{2}}{{y}^{2}}{{z}^{2}}+{{a}^{2}}{{b}^{2}}{{c}^{2}}}{abcxyz}\]
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C)
\[\frac{xyz+abc}{xyzabc}\]
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D)
\[\frac{1}{xyz}+\frac{1}{abc}\]
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E)
None of these
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Find the sum: \[\left( \frac{4}{5}+\frac{25}{15}-10 \right)+\frac{21}{45}\]
A)
\[-\frac{1}{9}\]
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B)
\[1\,\,\frac{1}{9}\]
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C)
\[-7\,\,\frac{1}{15}\]
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D)
\[4\,\,\frac{22}{27}\]
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E)
None of these
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If\[x={{\left( \frac{4}{3} \right)}^{2}}\times \,\,{{\left( \frac{3}{4} \right)}^{-\,4}},\]then the value of\[{{x}^{-3}}\]is equal
A)
\[{{\left( \frac{3}{4} \right)}^{12}}\]
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B)
\[{{\left( \frac{3}{4} \right)}^{-\,12}}\]
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C)
\[{{\left( \frac{3}{4} \right)}^{18}}\]
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D)
\[{{\left( \frac{3}{4} \right)}^{-\,18}}\]
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E)
None of these
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Which one among the following is a perfect square?
A)
130321
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B)
21296
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C)
36501
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D)
27648
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E)
None of these
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Find the value of m in : \[\frac{{{(25)}^{2m+1}}\times {{(125)}^{5}}}{{{(625)}^{2}}}={{(3125)}^{3m}}\]
A)
1
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B)
0
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C)
\[\frac{9}{11}\]
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D)
\[\frac{11}{9}\]
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E)
None of these
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Simplify: \[\sqrt{\frac{2312}{1352}}\]
A)
\[\frac{17}{13}\]
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B)
\[\frac{1}{13}\]
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C)
\[\frac{13}{17}\]
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D)
\[\frac{1}{17}\]
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E)
None of these
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If \[4{{x}^{2}}+{{y}^{2}}=40\] and \[xy=6,\] then find the value of \[2x+y\].
A)
\[\pm \,\,8\]
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B)
2
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C)
\[\pm \,\,6\]
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D)
\[\pm \,\,10\]
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E)
None of these
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Factorise :\[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2-2x-\frac{2}{x}\]
A)
\[\left( x+\frac{1}{x} \right)\left( x-\frac{1}{x}-2 \right)\]
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B)
\[\left( x+\frac{1}{x} \right)\left( x+\frac{1}{x}-2 \right)\]
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C)
\[\left( x-\frac{1}{x} \right)\left( x-\frac{1}{x}-2 \right)\]
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D)
\[\left( x-\frac{1}{x} \right)\left( x-\frac{1}{x}+2 \right)\]
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E)
None of these
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Which of the following is a factor of \[6-y-2{{y}^{2}}\]?
A)
\[y-2\]
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B)
\[y-3\]
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C)
\[3-2y\]
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D)
\[y+3\]
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E)
None of these
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If \[(4{{x}^{3}}-3{{x}^{2}}+2x-1)\] is divided by\[(x+2),\]then the remainder will be:
A)
48
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B)
\[-\,49\]
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C)
24
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D)
\[-\,24\]
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E)
None of these
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What value of y will satisfies the equation\[\frac{y-1}{3}-\frac{y-2}{4}=1\]
A)
12
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B)
0
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C)
10
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D)
\[-10\]
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E)
None of these
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Rajesh is twice as old as his son. 20 year ago, the age of the Rajesh was 12 times the age of the son. Find the present age of the son.
A)
21 years
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B)
22 years
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C)
23 years
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D)
12 years
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E)
None of these
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Simplify: \[\frac{\sqrt{1225}-\sqrt{1156}}{\sqrt{427+\sqrt{196}}}\]
A)
\[\frac{1}{21}\]
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B)
\[\sqrt{\frac{2}{5}}\]
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C)
\[\sqrt{\frac{8}{5}}\]
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D)
\[\sqrt{\frac{4}{25}}\]
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E)
None of these
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The tens digit in the cube root of 571787 is:
A)
2
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B)
3
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C)
5
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D)
8
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E)
None of these
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Find the value\[\sqrt{\frac{0.289}{0.00121}}+\sqrt{\frac{64}{16}}\]
A)
\[\frac{172}{11}\]
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B)
\[\frac{182}{11}\]
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C)
\[\frac{193}{11}\]
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D)
\[\frac{192}{11}\]
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E)
None of these
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Peter and Robert can load the bags in a truck in 36 hours and 45 hours respectively. If both work together, then how much time will they take to load the truck?
A)
10 hours
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B)
20 hours
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C)
30 hours
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D)
40 hours
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E)
None of these
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A pipe can fill a tank in 5 hours, while another pipe can empty it in 6 hour. If both the pipes are opened simultaneously, how much time will be taken to fill the tanks?
A)
30 hours
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B)
20 hours
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C)
25 hours
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D)
15 hours
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E)
None of these
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A and B can do a piece of work in 3 days. B and C can do the same work in 9 days while C and A can do it in 12 days. Find the time in which A, B and C can finish the work working together?
A)
\[3\,\,\frac{18}{19}\]
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B)
\[1\,\,\frac{15}{19}\]
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C)
\[3\,\,\frac{15}{19}\]
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D)
\[3\,\,\frac{15}{18}\]
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E)
None of these
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A nursery have 5000 plants in which 5% are roses and 1% are sunflowers. What is the total number of other plants?
A)
4700
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B)
5000
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C)
2500
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D)
4500
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E)
None of these
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In an examination, the marks obtained by Rajesh is 20% less than that of Mukesh, then marks obtained by Mukesh is how much percent more than marks obtained by Rajesh?
A)
25%
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B)
35%
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C)
15%
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D)
5%
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E)
None of these
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A letter 'T' shape is made by sticking together 2 cuboids as shown in the diagram. What is the total volume of the letter 'T'?
A)
\[57\,c{{m}^{3}}\]
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B)
\[64\,c{{m}^{3}}\]
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C)
\[48\,c{{m}^{3}}\]
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D)
\[25\,c{{m}^{3}}\]
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E)
None of these
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The marked price of 1 kg paint is Rs. 265 and it is sold for Rs. 260. The percent of discount is:
A)
\[2\,\,\frac{17}{53}%\]
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B)
\[1\,\,\frac{17}{53}%\]
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C)
\[\frac{17}{53}%\]
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D)
\[1\,\,\frac{47}{53}%\]
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E)
None of these
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The marked price of a shirt was Rs. 165 and it was sold at a discount of 12%. Find the discount allowed on the shirt.
A)
Rs. 2080
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B)
Rs. 18.20
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C)
Rs. 19.80
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D)
Rs. 21
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E)
None of these
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Martin invested a certain sum of money at 10% p.a. simple interest for certain period of time. At the end of the period, he got the amount equal to the five times the original amount. The period for which the amount has been invested by Martin is:
A)
50 years
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B)
25 years
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C)
12 years 6 months
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D)
40 years
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E)
None of these
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A ball in the shape of a sphere has a surface area of \[221.76\,\,c{{m}^{2}}\]. Calculate its diameter.
A)
7.4 cm
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B)
8.4 cm
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C)
8.8 cm
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D)
4.2 cm
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E)
None of these
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Direction: The following pie chart shows the distribution of the expenditure incurred for publishing a book.
The percentage of the central angle corresponding to the expenditure incurred on paper cost is:
A)
10%
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B)
15%
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C)
20%
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D)
30%
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E)
None of these
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Royalty on the book is less than the editing cost by:
A)
10%
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B)
15%
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C)
20%
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D)
25%
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E)
None of these
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If the transportation cost is Rs. 1,80,000 then the binding cost is:
A)
Rs. 90,000
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B)
Rs. 1,12,000
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C)
Rs. 1,35,000
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D)
Rs. 1,80,000
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E)
None of these
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Find the missing figure.
A)
done
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B)
done
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C)
done
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D)
done
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E)
None of these
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The area of rhombus is \[480\,c{{m}^{2}}\]and one of the diagonals is 32 cm. Find the other diagonal:
A)
30 cm
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B)
40 cm
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C)
50 cm
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D)
25 cm
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E)
None of these
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