On a certain day a man travelled \[\frac{37}{8}\]km by bike, \[\frac{3}{8}\] km by car and 75 km by train. Total distance travelled by him is:
A)
150 km
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B)
\[\frac{649}{8}\]km
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C)
\[\frac{329}{8}\]km
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D)
649 km
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E)
None of these
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Evaluate: \[{{\left[ {{\left( \sqrt{\frac{2}{3}} \right)}^{2}}-\sqrt[3]{\frac{8}{27}} \right]}^{1000}}\]
A)
0
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B)
1
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C)
2
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D)
\[-1\]
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E)
None of these
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Find the value of \[\sqrt{\left( 7+3\sqrt{5} \right)\left( 7-3\sqrt{5} \right)}\]
A)
2
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B)
4
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C)
\[\sqrt{5}\]
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D)
\[\sqrt[2]{5}\]
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E)
None of these
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Three numbers are in the ratio \[1:2:3\], if the sum of their cubes is 98784, then the numbers are the successive multiples of:
A)
12
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B)
16
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C)
14
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D)
24
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E)
None of these
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The value of \[{{a}^{3}}-3\sqrt{3}{{b}^{3}}\] is:
A)
\[(a+b\sqrt{3})({{a}^{2}}-ab\sqrt{3}+3{{b}^{2}})\]
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B)
\[(a-b\sqrt{3})({{a}^{2}}+ab\sqrt{3}+3{{b}^{2}})\]
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C)
\[(a-b\sqrt{3})({{a}^{2}}-ab\sqrt{3}+3{{b}^{2}})\]
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D)
\[(a-b\sqrt{3})({{a}^{2}}+3ab+3{{b}^{2}})\]
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E)
None of these
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Find the value of a in\[4{{x}^{4}}+2{{x}^{3}}-3{{x}^{2}}+8x+5a,\] if (x + 2) is its factor.
A)
4
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B)
\[-4\]
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C)
3
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D)
0
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E)
None of these
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Raj has three boxes containing different fruits. Box A weighs\[2\frac{1}{2}\]kg more than box B and box C weighs\[10\frac{1}{4}\]kg more than box B. The total weight of all the boxes is \[48\frac{3}{4}\]kg. How many kilograms does box A weigh?
A)
\[16\frac{1}{2}Kg\]
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B)
\[15\frac{1}{2}Kg\]
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C)
\[14\frac{1}{2}Kg\]
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D)
\[15Kg\]
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E)
None of these
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If 40 metres of a cloth costs Rs. 1940, how many meter can be bought for Rs. 727.5?
A)
10 metres
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B)
15 metres
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C)
12 metres
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D)
18 metres
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E)
None of these
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Anupama takes 125 minutes in walking a distance of 100 metre. What distance would she cover in 315 minutes?
A)
252m
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B)
250m
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C)
260 m
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D)
245m
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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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John invested Rs. 25000 and Rs. 20000 in two different types of bond. The first bond pays an interest of 8% per annum and the other pays an interest of 10% per annum. Find the total interest he will get after 5 years.
A)
Rs. 20000
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B)
Rs. 10000
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C)
Rs. 22000
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D)
Rs. 20750
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E)
None of these
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Amit choose three numbers x, y and z in such a way that the x is twice of y and thrice of z, if the average of all the three numbers is 88, then the smallest number is:
A)
46
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B)
48
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C)
52
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D)
72
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E)
None of these
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If \[{{3}^{\left( x-y \right)}}=27\]and \[{{3}^{(x+y)}}=243,\]then find the value of x.
A)
0
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B)
2
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C)
3
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D)
4
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E)
None of these
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Find the value of \[{{\left[ {{({{6}^{2}}+{{8}^{2}})}^{\frac{1}{2}}} \right]}^{3}}\]
A)
1690
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B)
2179
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C)
2890
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D)
1000
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E)
None of these
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Find the value of \[\sqrt{(7+3\sqrt{5})(7-3\sqrt{5})}\]
A)
3
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B)
4
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C)
2
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D)
\[\sqrt{5}\]
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E)
None of these
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What value of y will satisfies the equation = \[\frac{y-3}{3}-\frac{y-2}{4}=1\]
A)
0
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B)
12
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C)
10
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D)
-10
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E)
None of these
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If \[{{a}^{x}}=b,{{b}^{y}}=c\,\,and\,\,{{c}^{z}}=a,\]then xyz is equal to:
A)
\[abc\]
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B)
\[\frac{1}{abc}\]
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C)
0
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D)
1
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E)
None of these
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The product of two numbers is \[\frac{b}{a}\]. If one of the number is \[\frac{a}{{{b}^{2}}}\], then the other
A)
\[\frac{{{a}^{2}}}{b}\]
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B)
\[\frac{a}{{{b}^{2}}}\]
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C)
\[\frac{{{b}^{2}}}{{{a}^{3}}}\]
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D)
\[\frac{{{b}^{3}}}{{{a}^{2}}}\]
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E)
None of these
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If\[\sqrt{5184}=72,\]then\[\sqrt{5184}+\sqrt{51.84}+\sqrt{0.005184}\]
A)
79.369
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B)
79.464
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C)
79.272
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D)
79.646
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E)
None of these
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A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. In how many days will they finish it together?
A)
12
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B)
10
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C)
15
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D)
14
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E)
None of these
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How many triangles are there in the following figure?
A)
9
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B)
10
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C)
7
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D)
8
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E)
None of these
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Simplify: \[\frac{\sqrt{5}}{\sqrt[3]{5}}\]
A)
\[{{5}^{\frac{3}{8}}}\]
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B)
\[{{5}^{\frac{2}{3}}}\]
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C)
\[{{5}^{\frac{1}{5}}}\]
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D)
\[{{5}^{\frac{1}{6}}}\]
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E)
None of these
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Simplify: \[{{\left( \sqrt{5}-\frac{1}{\sqrt{5}} \right)}^{2}}\]
A)
\[\frac{5}{16}\]
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B)
\[\frac{16}{5}\]
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C)
\[\frac{3}{5}\]
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D)
\[\frac{2}{5}\]
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E)
None of these
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