The sum of two rational numbers is always a/an:
A)
Irrational number
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B)
Rational number
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C)
Integer
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D)
Natural number
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E)
None of these
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Simplify: \[-{{(4)}^{3}}-{{(-5)}^{2}}+{{(-6)}^{2}}\]
A)
\[-97\]
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B)
\[-53\]
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C)
\[87\]
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D)
\[102\]
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E)
None of these
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The smallest natural number whose square is exactly divisible by 4, 5, 6 and 18 is:
A)
15
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B)
19
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C)
20
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D)
30
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E)
None of these
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Simplify: \[\sqrt[3]{1728\times 2744}\]
A)
158
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B)
138
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C)
168
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D)
278
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E)
None of these
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If \[X+\frac{1}{X}=3\]then find the value of\[X-\frac{1}{X}\].
A)
\[\pm 1\]
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B)
\[\pm \sqrt{2}\]
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C)
\[\pm \sqrt{5}\]
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D)
0
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E)
None of these
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Find the quotient of \[{{y}^{3}}-6{{y}^{2}}+9y-2\]is divided by \[y-2\].
A)
\[{{y}^{2}}+4y+1\]
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B)
\[{{y}^{2}}-4y+1\]
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C)
\[{{y}^{2}}+4y-1\]
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D)
\[{{y}^{2}}-4y-1\]
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E)
None of these
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The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes\[\frac{1}{2}\]. Find the fraction.
A)
\[\frac{3}{7}\]
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B)
\[\frac{1}{3}\]
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C)
\[\frac{2}{5}\]
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D)
\[\frac{4}{7}\]
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E)
None of these
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In an elastic spring the longitudinal extensions is directly proportional to the weight hanged on the spring. If a weight of 150 kg produces an extension of 2.9 m, then find the weight which will produce an extensions of 17.4m.
A)
900 kg
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B)
600 kg
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C)
700 kg
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D)
800 kg
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E)
None of these
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In 10 days, the Earth picks up \[2.6\times {{10}^{8}}\]pounds of dust from the atmosphere. How much dust will it pick up in 45 days?
A)
\[12.1\times {{10}^{7}}\] pounds
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B)
\[11.7\times {{10}^{8}}\] pounds
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C)
\[10.2\times {{10}^{8}}\]pounds
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D)
\[11.7\times {{10}^{6}}\]pounds
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E)
None of these
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72 % of 25 students are good in Mathematics. How many are not good at it?
A)
10
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B)
7
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C)
18
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D)
25
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E)
None of these
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Martin borrows Rs. 10000 for 73 days in year 2003 at 5% simple interest per annum from his friend David for clearing some loans taken from the bank. Find the interest he has to pay to his friend after 73 days.
A)
Rs. 82
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B)
Rs. 155
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C)
Rs. 123
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D)
Rs. 100
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E)
None of thee
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The diameter of the base of a right circular cylinder is 42 cm and its height is 10 cm. Find its total surface area.
A)
\[4092\,c{{m}^{2}}\]
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B)
\[4075\,c{{m}^{2}}\]
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C)
\[4094\,c{{m}^{2}}\]
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D)
\[4100\,c{{m}^{2}}\]
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E)
None of these
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Find the value of \[{{\left[ {{({{5}^{2}}+{{12}^{2}})}^{\frac{1}{2}}} \right]}^{3}}\]
A)
1691
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B)
2197
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C)
2179
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D)
1297
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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)
\[-1\]
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D)
2
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E)
None of these
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If the cost price of 12 items is equal to the selling price of 16 items. Find the loss percent.
A)
15%
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B)
25%
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C)
30%
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D)
20/o
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E)
None of these
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If \[\frac{11}{x}-\frac{7}{y}=1\]and \[\frac{9}{x}-\frac{4}{y}=6,\]then find\[x+y\].
A)
\[\frac{5}{3}\]
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B)
\[\frac{3}{5}\]
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C)
\[\frac{1}{2}\]
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D)
\[\frac{5}{6}\]
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E)
None of these
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What must be subtracted from \[\frac{7x}{{{x}^{2}}+x-12}\] to get\[\frac{4x}{x+4}\]?
A)
\[\frac{4x}{x-3}\]
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B)
\[\frac{3}{x+3}\]
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C)
\[\frac{3}{x-3}\]
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D)
\[\frac{4}{x+3}\]
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E)
None of these
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A can do a piece of work in 8 days and B can do same work in 12 days. A and B together complete the job and get Rs.200 as combined wages. Find the share of B in the wage.
A)
Rs. 75
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B)
Rs. 80
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C)
Rs. 85
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D)
Rs. 82
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E)
None of these
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50% of \[37\frac{1}{2}%\]of20% of \[53\frac{1}{3}\] is:
A)
10
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B)
9
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C)
2
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D)
3
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E)
None of these
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In the following figure if \[\angle BoC=7x{}^\circ +20{}^\circ \]and \[LCOA=3x{}^\circ ,\]then the value of x for which AOB becomes a straight line is:
A)
\[14{}^\circ \]
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B)
\[16{}^\circ \]
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C)
\[21{}^\circ \]
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D)
\[30{}^\circ \]
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E)
None of these
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In the given figure\[DE||BC,\]\[AD=1.7\,cm;\]and \[AD=9\,cm\].The length of AE is:
A)
\[3.2\,cm\]
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B)
\[2\,cm\]
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C)
\[2.25\,cm\]
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D)
\[4.1\,cm\]
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E)
None of these
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The altitude AD of an isosceles \[\Delta \,ABC\]with sides 2a, 2a and a, if AB = AC is
A)
\[\frac{a\sqrt{5}}{3}\]
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B)
\[a\sqrt{15}\]
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C)
\[\frac{a\sqrt{15}}{4}\]
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D)
\[\frac{a\sqrt{15}}{2}\]
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E)
None of these
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If \[99x+101y=299\]and \[101x+99y=301\]then the correct solution is:
A)
\[x=1,y=2\]
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B)
\[x=3,y=1\]
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C)
\[x=1,y=3\]
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D)
\[x=2,y=1\]
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E)
None of these
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