Evaluate: \[|\,44-[\,1+5\,\{12\div 4-2\,(1-\overline{4-3})\}]|\]
A)
17
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B)
\[-14\]
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C)
28
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D)
12
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E)
None of these
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Square of any negative integer will be :
A)
Negative integer
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B)
Positive integer
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C)
0
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D)
\[-1\]
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E)
None of these
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If \[\sqrt{625}=25,\] then find the value of\[\sqrt{6.25}+\sqrt{0.0625}\].
A)
27.5
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B)
0.275
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C)
2.75
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D)
0.0275
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E)
None of these
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The value of \[\frac{1}{2}\div \left[ \frac{1}{2}\times \left\{ \frac{1}{2}\div \left( \frac{1}{2}\times \frac{1}{2}\div \frac{1}{2} \right) \right\} \right]\] is:
A)
\[\frac{1}{2}\]
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B)
1
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C)
\[\frac{1}{3}\]
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D)
4
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E)
None of these
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What fraction of Rs. 3 is 40 paise?
A)
\[\frac{1}{5}\]
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B)
\[\frac{4}{9}\]
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C)
\[\frac{2}{15}\]
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D)
\[\frac{6}{11}\]
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E)
None of these
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Find the value of \[\frac{1}{0.5}+\frac{1}{0.2}\].
A)
6
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B)
7
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C)
8
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D)
5
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E)
None of these
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If \[{{(-15)}^{-1}}\] is divided by \[({{5}^{-1}}),\] then the quotient will be:
A)
\[\frac{-1}{3}\]
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B)
\[(-3)\]
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C)
3
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D)
\[\frac{1}{3}\]
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E)
None of these
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If \[P=\frac{-14}{5}\times \left( \frac{-10}{9} \right)\times \left( \frac{27}{7} \right)\] and \[Q=(-25)\times \frac{17}{5}\times \frac{2}{34}\] then find the value of \[\frac{P+Q}{P-Q}\]
A)
\[-1\,\,\frac{14}{15}\]
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B)
\[\frac{14}{15}\]
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C)
\[\frac{7}{17}\]
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D)
\[-\,3\,\,\frac{14}{15}\]
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E)
None of these
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Simplify: \[\left( \frac{5}{13}\times \frac{6}{15} \right)\div \left( \frac{9}{12}\times \frac{4}{3} \right)-\left( \frac{3}{11}\times \frac{5}{6} \right)\]
A)
\[\frac{42}{286}\]
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B)
\[\frac{109}{286}\]
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C)
\[\frac{-21}{286}\]
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D)
\[\frac{21}{286}\]
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E)
None of these
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The multiplicative inverse of the rational number\[\frac{117}{525}\] is:
A)
\[\frac{875}{225}\]
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B)
\[\frac{175}{39}\]
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C)
1
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D)
\[\frac{876}{225}\]
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E)
None of these
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If \[{{\left( \frac{145}{313} \right)}^{x+1}}\times {{\left( \frac{145}{313} \right)}^{5}}={{\left( \frac{145}{313} \right)}^{2x+2}},\] then find the value of\[x\].
A)
3
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B)
2
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C)
4
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D)
5
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E)
None of these
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Find the value of the expression given below: \[\frac{1024\times 243\times 625}{2048\times 729\times 3125}\]
A)
\[\frac{1}{30}\]
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B)
\[\frac{1}{15}\]
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C)
\[\frac{1}{6}\]
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D)
\[\frac{1}{10}\]
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E)
None of these
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Simplify: \[\frac{{{12}^{-3}}\times {{15}^{4}}}{{{18}^{-2}}}\]
A)
\[\frac{{{2}^{3}}\times {{3}^{4}}}{{{5}^{3}}}\]
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B)
\[\frac{{{3}^{5}}\times {{5}^{4}}}{{{2}^{4}}}\]
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C)
\[\frac{{{2}^{3}}\times {{5}^{3}}}{{{3}^{4}}}\]
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D)
\[\frac{{{2}^{4}}\times {{3}^{4}}}{{{5}^{3}}}\]
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E)
None of these
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Find the value of \[4{{x}^{y}}+2{{y}^{x}},\]if \[x=2\] and \[y=-2.\]
A)
\[-9\]
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B)
9
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C)
3
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D)
8
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E)
None of these
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Simplify: \[{{(p+q-r)}^{2}}+{{(p-q-r)}^{2}}\]
A)
\[2\,[{{(p-r)}^{2}}+{{q}^{2}}]\]
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B)
\[2\,[{{(p-q)}^{2}}+{{r}^{2}}]\]
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C)
\[2\,[{{(q-p)}^{2}}+{{r}^{2}}]\]
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D)
\[2\,[{{(p-q)}^{2}}+{{q}^{2}}]\]
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E)
None of these
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If \[x+\frac{1}{x}=7\] then the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\] is:
A)
47
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B)
34
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C)
42
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D)
24
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E)
None of these
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Find the factors of \[{{x}^{2}}+2x-15\].
A)
\[(x-5)\,\,(x-3)\]
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B)
\[(x-5)\,\,(x+3)\]
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C)
\[(x-5)\,\,(x-3)\]
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D)
\[(x+5)\,\,(x+3)\]
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E)
None of these
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Solve: \[(y+3)-2(y-1)=4(y-5)\]
A)
2
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B)
5
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C)
3
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D)
6
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E)
None of these
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Find the solution of the equation\[\frac{y-5}{y+2}=\frac{8}{7}\].
A)
\[-51\]
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B)
51
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C)
\[-15\]
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D)
15
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E)
None of these
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Three years ago James age was 7 times that of Jack. Three years hence James age will be four times that of Jack's age. The present age of Jack is:
A)
5 years
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B)
7 years
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C)
9 years
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D)
10 years
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E)
None of these
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The present ages of Peter & Jony are in the ratio of 1 : 2. Four years later, their ages will be in the ratio of 7 : 13. What is their present ages?
A)
4 years and 8 years
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B)
12 years and 24 years
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C)
20 years and 40 years
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D)
24 years and 48 years
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E)
None of these
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Two numbers are in the ratio of 1 : 2. If sum of their squares is 320, then find the sum of numbers.
A)
16
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B)
22
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C)
8
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D)
24
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E)
None of these
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The daily pocket expenses of P and Q are Rs. 120 and Rs. 150 respectively. What is the ratio of their expenses in the simplest form?
A)
150 : 120
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B)
4 : 5
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C)
30 : 90
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D)
5 : 4
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E)
None of these
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If 12.5 % of \[x\] is 15, then find the value of\[x\].
A)
50
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B)
70
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C)
120
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D)
45
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E)
None of these
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An alloy contains 10 g copper, 20 g zinc and 20 g tin. What is the percentage of copper in the alloy?
A)
20 %
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B)
25 %
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C)
30 %
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D)
15 %
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E)
None of these
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An ore contains 15 % aluminium. How many kilograms of the ore are required to get 135 kg of aluminium.
A)
650 kg
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B)
700 kg
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C)
750 kg
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D)
900 kg
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E)
None of these
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A number is increased by 10% and the decreased by 10%. Find the net increase or decrease percent.
A)
2% increase
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B)
1% decrease
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C)
20% increase
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D)
5% decrease
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E)
None of these
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By selling a table fan for Rs. 1210, a trader gains 10 %. Find the cost price of the table fan.
A)
Rs. 1100
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B)
Rs. 1000
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C)
Rs. 1200
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D)
Rs. 1110
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E)
None of these
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If the cost price of 20 article is equal to the selling price of 15 articles, find the profit percent.
A)
\[33\,\,\frac{1}{2}%\]
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B)
\[33\,\,\frac{1}{3}%\]
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C)
\[33\,\,\frac{1}{5}%\]
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D)
\[33\,\,\frac{1}{7}%\]
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E)
None of these
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Jack buys two horses for Rs. 1, 50,000 each. He sells one at the gain of 25 % and another at the loss of 25 %. Which one of the following options is correct?
A)
There is a loss of 5% on whole transaction
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B)
There is a gain of 5% on whole transaction
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C)
There is no profit or no loss occurs on a whole transaction
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D)
There is a gain of Rs. 37500 on whole transaction
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E)
None of these
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Calculate the simple interest on a sum of Rs. 13757 at the rate of 5 % per annum for two years.
A)
Rs. 1357.70
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B)
Rs. 1375.70
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C)
Rs. 1377.50
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D)
Rs. 1300.75
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E)
None of these
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Two supplementary angles are in the ratio 7 : 8. Find the angles.
A)
\[105{}^\circ \,and\,\,75{}^\circ \]
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B)
\[83{}^\circ \,and\,\,97{}^\circ \]
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C)
\[84{}^\circ \,and\,\,96{}^\circ \]
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D)
\[85{}^\circ \,and\,\,95{}^\circ \]
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E)
None of these
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In the figure given below, find the value of z.
A)
\[15{}^\circ \]
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B)
\[50{}^\circ \]
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C)
\[70{}^\circ \]
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D)
\[20{}^\circ \]
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E)
None of these
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In the following figure\[AB||CD\], then find the value of
A)
\[90{}^\circ \]
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B)
\[180{}^\circ \]
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C)
\[120{}^\circ \]
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D)
\[270{}^\circ \]
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E)
None of these
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If the length of hypotenuse of a right angled triangle is 13 cm and its area is \[30\,\,c{{m}^{2}},\] then the length of the other two sides are:
A)
3 cm and 4 cm
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B)
6 cm and 8 cm
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C)
12 cm and 5 cm
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D)
6 cm and 10 cm
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E)
None of these
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The base of a parallelogram is twice its height. If the area of parallelogram is \[512\,\,c{{m}^{2}},\] then find the base.
A)
33 cm
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B)
32 cm
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C)
40 cm
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D)
199 cm
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E)
None of these
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A rectangular lawn is 50 m by 40 m and has two roads, each 2 m wide in the middle of it. One parallel to its length and the other parallel to the breadth as shown in the figure given below. Find the cost of gravelling the road at the rate of Rs. 4.50 per square metre.
A)
Rs. 852
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B)
Rs. 792
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C)
Rs. 575
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D)
Rs. 685
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E)
None of these
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Find the mean of 11, 15, 13, 27, 19, 24 and 20, if 13 is replaced by 31.
A)
10
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B)
20
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C)
21
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D)
24
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E)
None of these
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If the mean of five observation \[x,\]\[x+2,\]\[x+4,\]\[x+6\]and \[x+8\] is 11, then the mean of first three observations is:
A)
6
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B)
9
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C)
11
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D)
13
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E)
None of these
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Which one number can be placed at the question marks?
A)
20
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B)
25
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C)
26
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D)
75
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E)
None of these
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