If \[A=13\,[12+\{32\times 5+(32-12\div 3)\}]\] and \[B=13\,\{-15+(13)\times 4\},\]then\[A\div B\] is equal to:
A)
\[\frac{200}{33}\]
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B)
\[3\,\,\frac{15}{37}\]
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C)
\[\frac{185}{37}\]
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D)
\[1\,\,\frac{15}{37}\]
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E)
None of these
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If \[P=14-25\,\{15-\overline{(33-18)}\}\] and \[Q=[\,7\,\{15+(-27)\div (3)\}]\] then the value of \[\frac{P+Q}{P-Q}\] is :
A)
2
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B)
\[-2\]
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C)
\[-5\]
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D)
5
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E)
None of these
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There are two integers X and Y such that S and T are their additive inverse respectively then\[\left| \text{X} \right|\,\,\text{+}\,\,\left| \text{Y} \right|\,\,\text{+}\,\,\left| \text{S} \right|\,\,\text{+}\,\,\left| \text{T} \right|\] is equal to
A)
\[\text{ }\!\!|\!\!\text{ X }\!\!|\!\!\text{ }\]
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B)
\[\left| \text{Y} \right|\,\,\text{+}\,\,\left| \text{S} \right|\]
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C)
\[\text{2}\,\,\left( \left| \text{X} \right|\,\,\text{+}\,\,\text{ }\!\!|\!\!\text{ Y }\!\!|\!\!\text{ } \right)\]
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D)
\[\left| \text{X} \right|\,\,\text{+}\,\,\left| \text{Y} \right|\]
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E)
None of these
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If \[P=45-[5+\{60-(39-8)\}]\] and \[Q=-12+[25-2\{16+9\}\] then \[\text{ }\!\!|\!\!\text{ P }\!\!|\!\!\text{ + }\!\!|\!\!\text{ Q }\!\!|\!\!\text{ }\,\text{=?}\]
A)
10
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B)
\[-10\]
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C)
20
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D)
12
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E)
None of these
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The value of \[\frac{1+\frac{1}{2}}{1+\frac{1}{2}}\] is:
A)
\[1\,\,\frac{1}{3}\]
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B)
\[1\,\,\frac{2}{3}\]
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C)
\[1\,\,\frac{3}{5}\]
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D)
\[1\,\,\frac{3}{4}\]
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E)
None of these
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If \[\sqrt{1849}=43,\] the value of \[\sqrt{18.49}+\sqrt{0.1849}+\sqrt{0.001849}\] is:
A)
4.708
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B)
4.773
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C)
4.760
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D)
4.0687
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E)
None of these
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Find the multiplicative inverse of\[\left( 7\times \frac{1}{12} \right)\].
A)
\[\frac{1}{7}\,\,\times \,\,\frac{1}{12}\]
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B)
\[7\times \frac{1}{12}\]
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C)
\[\frac{1}{7}\times 12\]
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D)
\[\left( \frac{1}{7} \right)\times \frac{2}{12}\]
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E)
None of these
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Simplify: \[\left( \frac{15}{3}\times \frac{6}{12} \right)\div \left( \frac{19}{38}\times \frac{2}{3} \right)-\left( \frac{13}{11}\times \frac{55}{5} \right)\]
A)
\[\frac{11}{2}\]
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B)
\[\frac{19}{23}\]
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C)
\[\frac{-21}{28}\]
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D)
\[\frac{-11}{2}\]
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E)
None of these
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Which one of the following is not an integer when expressed in its simplest form?
A)
\[\frac{14}{56}\]
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B)
\[\frac{57}{19}\]
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C)
\[\frac{91}{13}\]
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D)
\[\frac{135}{45}\]
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E)
None of these
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Evaluate: \[{{\left[ {{\left( 64 \right)}^{\frac{-5}{3}}} \right]}^{-\frac{1}{2}}}\]
A)
64
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B)
16
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C)
8
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D)
32
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E)
None of these
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Find the value of\[\frac{{{3}^{n+1}}-{{3}^{n}}}{{{3}^{n+2}}-{{3}^{n+1}}}\]
A)
\[\frac{3}{2}\]
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B)
\[\frac{2}{3}\]
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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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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 \[6{{x}^{2}}\,\,(y-{{y}^{2}})-3{{y}^{2}}+2xy\,\,(x-y)\] for \[x=4\]and \[y=5\]
A)
\[-\,215\]
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B)
2035
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C)
\[-\,2035\]
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D)
215
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E)
None of these
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Subtract \[(5\,{{a}^{2}}b+6\,{{a}^{2}}b+4)\] from \[(7\,{{a}^{2}}b-6\,{{a}^{2}}{{b}^{2}}+5)\].
A)
\[-\,2\,{{a}^{2}}b+12\,{{a}^{2}}{{b}^{2}}-1\]
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B)
\[2\,{{a}^{2}}b-12\,{{a}^{2}}{{b}^{2}}+1\]
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C)
\[12\,{{a}^{2}}b-12\,{{a}^{2}}{{b}^{2}}+9\]
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D)
\[-\,12\,{{a}^{2}}b+12\,{{a}^{2}}{{b}^{2}}-9\]
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E)
None of these
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If \[x-\frac{1}{x}=5,\] then find the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\].
A)
23
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B)
27
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C)
22
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D)
25
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E)
None of these
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If \[ab=8\] and \[a+b=10\] then the value of \[{{a}^{2}}+{{b}^{2}}\] is:
A)
81
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B)
82
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C)
84
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D)
96
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E)
None of these
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Find the value of \[x\] which satisfies the equation \[\frac{{{x}^{2}}+5}{2-{{x}^{2}}}=\frac{-3}{2}\].
A)
\[x=\pm \,\,5\]
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B)
\[x=\pm \,\,7\]
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C)
\[x=\pm \,\,4\]
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D)
\[x=\pm \,\,9\]
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E)
None of these
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The sum of three consecutive multiples of 6 is 1098. Find the numbers.
A)
360, 368 and 370
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B)
362, 368 and 370
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C)
360, 366 and 372
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D)
360, 366 and 371
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E)
None of these
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The denominator of a fraction is greater than its numerator by 6. If the numerator is increased by 5 and the denominator is decreased by 3 then the number obtained is \[\frac{5}{4},\] find the fraction.
A)
\[\frac{5}{11}\]
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B)
\[\frac{11}{5}\]
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C)
\[\frac{12}{3}\]
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D)
\[\frac{9}{8}\]
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E)
None of these
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The present ages of Peter & Jony are in the ratio of 4 : 3, four years later, their ages will be in the ratio of 6 : 5. What is their present ages?
A)
8 years and 9 years
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B)
6 years and 9 years
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C)
8 years and 6 years
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D)
5 years and 9 years
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E)
None of these
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Jennifer mixes 1600 ml of orange juice with 4 L 800 mL of apple juice to make a fruit drink. Find the ratio of orange juice to apple juice in its simplest form.
A)
1 : 3
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B)
300 : 1
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C)
3 : 10
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D)
3 : 2
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E)
None of these
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A, B, C, D are quantities of same kind and the ratio of A to B is 3 : 5, B to C is 7 : 9 and C to D is 3 : 11,then
Statement 1: A : B is greater than C : D. Statement 2: B : D is the greatest among them. Statement 3: A : B is greater than B : C. Which one of the following options represents the correct statement?
A)
1, 2 and 3
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B)
1 and 2
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C)
2 and 3
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D)
1 and 3
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E)
None of these
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If 5 is the mean proportion between \[x\] and \[z\] then \[{{x}^{2}}{{z}^{2}}\] is equal to :
A)
625
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B)
125
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C)
25
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D)
33
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E)
None of these
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What amount 25% is more than Rs. 1200?
A)
Rs. 1750
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B)
Rs. 1500
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C)
Rs. 1350
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D)
Rs. 1400
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E)
None of these
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A mobile phone is sold for Rs. 3800 at the loss of 5%. What will be the gain or loss percent, if it is sold for Rs. 4200?
A)
7% gain
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B)
10% loss
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C)
5% gain
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D)
6 % loss
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E)
None of these
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The selling price of 24 articles is equal to the cost price of 30 articles. What is the loss or gain percent?
A)
25 % gain
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B)
25 % loss
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C)
20 % gain
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D)
18 % loss
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E)
None of these
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On selling an article for Rs. 800, a shopkeeper loses 20 %. In order to gain 20 % what would be the selling price?
A)
Rs. 1200
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B)
Rs. 1000
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C)
Rs. 1100
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D)
Rs. 1500
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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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Find the compound interest on Rs. 3,380 for 2 years, if the rate of interest is 25 % per annum compounded annually.
A)
Rs. 1901.75
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B)
Rs. 1901.25
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C)
Rs. 1901.50
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D)
Rs. 1091.25
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E)
None of these
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In what time does a sum of money becomes four times at the simple interest rate of 10 % per annum?
A)
20 years
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B)
30 years
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C)
35 years
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D)
45 years
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E)
None of these
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Find the value of \[x\] in the figure given below.
A)
\[9{}^\circ \]
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B)
\[30{}^\circ \]
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C)
\[12{}^\circ \]
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D)
\[15{}^\circ \]
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E)
None of these
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In the given figure, if POQ is a straight line then \[\angle POT\] is equal to:
A)
\[144{}^\circ \]
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B)
\[145{}^\circ \]
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C)
\[68{}^\circ \]
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D)
\[50{}^\circ \]
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E)
None of these
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If the difference of two supplementary angles is \[30{}^\circ ,\]then find the measurement of the smaller angle.
A)
\[67{}^\circ \]
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B)
\[75{}^\circ \]
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C)
\[65{}^\circ \]
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D)
\[90{}^\circ \]
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E)
None of these
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Find the value of x in the figure given below:
A)
35 cm
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B)
70 cm
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C)
32 cm
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D)
64 cm
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E)
None of these
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If two medians of a triangle are equal, then the triangle will be:
A)
Scalene
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B)
Isosceles
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C)
Equilateral
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D)
Right - angled
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E)
None of these
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The base of a triangular field is twice of its altitude. If the cost of watering the field at Rs. 15 per metre square is Rs. 735 then the measure of the base and height of the field are respectively:
A)
7 m and 14 m
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B)
14 m and 7 m
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C)
6 m and 12 m
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D)
12 m and 6 m
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E)
None of these
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Find the radius of circle whose circumference is 88 m.
A)
14 m
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B)
15 m
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C)
120 m
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D)
25 m
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E)
None of these
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David throws a die 10 times and the following are outcomes. The mean of these observations is:
A)
3
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B)
4.5
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C)
5
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D)
4
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E)
None of these
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If DELHI is coded as CCIDD, then how would you encode BOMBAY?
A)
AJMTVT
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B)
AMJXVS
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C)
MJXVSU
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D)
WXYZAX
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E)
None of these
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How many squares are there in the given figure?
A)
3
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B)
4
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C)
5
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D)
6
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E)
None of these
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