Find the value of the expression: \[\frac{257\times 257-57\times 57}{257+57}\].
A)
130
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B)
200
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C)
57
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D)
505
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E)
None of these
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A three-digit number 4a3 is added to another three-digit number 984 to give the four digit number 13b7, a multiple of 11. Then, \[a+b\] is equal to:
A)
12
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B)
10
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C)
7
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D)
9
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E)
None of these
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Simplify : \[\frac{123}{4123}+\frac{167}{4123}+\frac{253}{4123}+\frac{189}{4123}+\frac{79}{4123}+\frac{131}{4123}\]
A)
\[\frac{942}{4132}\]
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B)
\[\frac{941}{4132}\]
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C)
\[\frac{942}{4123}\]
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D)
\[\frac{942}{4213}\]
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E)
None of these
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Rocky, Merry and John want to divide Rs. 1256 equally among themselves. Rocky gets three times than John, Merry gets four times than John Find their respective share.
A)
Rs. 474, Rs. 632 and Rs. 158
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B)
Rs. 476, Rs. 624 and Rs. 156
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C)
Rs. 481, Rs. 620 and Rs. 155
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D)
Rs. 471, Rs. 628 and Rs. 157
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E)
None of these
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If \[\frac{x}{y}=\frac{4}{5},\]then the value of \[\frac{8}{9}+\frac{y-x}{y+x}\] is:
A)
2
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B)
\[\frac{2}{3}\]
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C)
\[\frac{3}{2}\]
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D)
1
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E)
None of these
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Arrange \[\frac{14}{-15},\frac{25}{27},\frac{-24}{25},\frac{-17}{-15}\] in ascending order:
A)
\[\frac{-17}{-15}<\frac{-\,24}{25}<\frac{25}{27}<\frac{14}{-\,15}\]
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B)
\[\frac{-24}{25}<\frac{14}{-\,15}<\frac{25}{27}<\frac{-\,17}{-\,15}\]
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C)
\[\frac{14}{-15}<\frac{-\,24}{25}<\frac{-\,17}{-\,15}<\frac{25}{27}\]
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D)
\[\frac{14}{-\,15}<\frac{-\,24}{25}<\frac{25}{27}<\frac{-\,17}{-\,15}\]
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E)
None of these
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Simplify : \[2\,\,\frac{3}{5}+\frac{-\,15}{13}-\frac{-\,13}{-\,15}+-\,4\,\,\frac{3}{5}\]
A)
\[14\,\,\frac{4}{195}\]
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B)
\[-\,4\,\,\frac{4}{195}\]
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C)
\[4\,\,\frac{24}{195}\]
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D)
\[4\,\,\frac{14}{195}\]
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E)
None of these
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The multiplicative inverse of the rational number \[\frac{117}{525}\] is:
A)
\[\frac{876}{225}\]
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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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Evaluate: \[{{\left[ {{\left( \frac{384}{294} \right)}^{\frac{3}{2}}} \right]}^{\frac{4}{3}}}\]
A)
\[\frac{3776}{2401}\]
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B)
1
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C)
\[\frac{4096}{2401}\]
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D)
2
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E)
None of these
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Evaluate: \[{{\left[ {{\left\{ {{\left( \frac{x}{y} \right)}^{-16}} \right\}}^{\frac{1}{2}}} \right]}^{-\frac{3}{8}}}\]
A)
\[{{\left( \frac{x}{y} \right)}^{2}}\]
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B)
\[{{\left( \frac{x}{y} \right)}^{3}}\]
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C)
\[{{\left( \frac{x}{y} \right)}^{\frac{3}{8}}}\]
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D)
\[{{\left( \frac{x}{y} \right)}^{4}}\]
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E)
None of these
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Find the value of \[x\] such that \[{{\left( \frac{64}{125} \right)}^{2}}{{\left( \frac{4}{5} \right)}^{4}}{{\left( \frac{16}{25} \right)}^{2x+1}}={{\left( \frac{256}{625} \right)}^{3x}}\].
A)
\[\frac{3}{2}\]
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B)
\[\frac{2}{3}\]
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C)
\[\frac{1}{3}\]
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D)
\[\frac{1}{2}\]
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E)
None of these
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Subtract \[(5\,{{a}^{2}}b+6\,{{a}^{2}}{{b}^{2}}+4)\] 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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The expanded form of \[{{(2x+3y-5z)}^{2}}\] is :
A)
\[5{{x}^{2}}-6{{y}^{3}}+15{{z}^{3}}+12xy-36{{y}^{6}}+21x{{y}^{2}}\]
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B)
\[4{{x}^{2}}+9{{y}^{2}}+25{{z}^{2}}+12xy-30yz-20zx\]
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C)
\[5{{x}^{2}}-6{{y}^{3}}+15{{z}^{3}}+12xy-36yz+21xy\]
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D)
\[4{{x}^{2}}+9{{y}^{2}}+25{{z}^{2}}-12xy+30yz+20zx\]
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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)
23
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E)
None of these
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If \[\frac{(4z+5)\,\,(2z-3)-8{{z}^{2}}+6}{z-6}=5,\]then which of z.
A)
3
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B)
\[-3\]
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C)
\[-5\]
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D)
5
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E)
None of these
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\[\frac{x-5}{x+1}=\frac{x+1}{x-8},\] then which one of the following value satisfies the given equation?
A)
\[2\,\,\frac{3}{5}\]
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B)
\[12\,\,\frac{3}{5}\]
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C)
\[-2\,\,\frac{39}{15}\]
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D)
\[2\,\,\frac{9}{15}\]
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E)
None of these
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The perimetre of a rectangle is 70 m. If the length is decreased by 2 m and the breadth is increased by 3 m then area increased by 24\[{{m}^{2}}\]. Find the length and breadth of the rectangle.
A)
21 m, 14 m
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B)
23 m, 12 m
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C)
18 m, 17 m
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D)
20 m, 15 m
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E)
None of these
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The age of A and B are in the ratio 2 : 3. Four years hence, their ages will be in the ratio 5 : 7. The present age of A is:
A)
14 years
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B)
15 years
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C)
16 years
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D)
17 years
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E)
None of these
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The ratio of tin and lead in an alloy is 1 : 3. If the weight of the alloy is increased by adding the same quantity of tin only, then the resultant ratio of tin and alloy will be :
A)
1 : 2
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B)
1 : 3
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C)
1 : 4
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D)
2 : 3
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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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Find the quantity of alcohol required to make a solution of 300 ml in which alcohol is 25%.
A)
50 ml
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B)
75 ml
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C)
62 ml
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D)
25 ml
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E)
None of these
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A shopkeeper loses 10 % by selling an article for Rs. 48.60, at what price should it be sold in order to gain 5 %?
A)
Rs. 56.70
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B)
Rs. 53.70
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C)
Rs. 52.70
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D)
Rs. 49.40
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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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What sum will amount to Rs. 9112 at \[2\,\,\frac{2}{5}%\] rate per annum simple interest in 3 years?
A)
Rs. 8076
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B)
Rs. 8736
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C)
Rs. 7550
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D)
Rs. 8500
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E)
None of these
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At simple interest a sum give interest of \[\frac{4}{5}\] of itself in 6 years. The rate of interest on the sum is:
A)
\[13\,\,\frac{1}{3}%\,p.\,a\]
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B)
\[14\,\,\frac{1}{3}%\,p.\,a.\]
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C)
\[8\,\,\frac{1}{3}%\,p.\,a.\]
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D)
\[7\,\,\frac{1}{3}%\,p.\,a.\]
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E)
None of these
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Find the value of x in the figure given below.
A)
\[15{}^\circ \]
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B)
\[18{}^\circ \]
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C)
\[9{}^\circ \]
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D)
\[15{}^\circ \]
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E)
None of these
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In the figure given below, \[AB\parallel CD,\] if \[\angle ABO=30{}^\circ \] and \[\angle CDO=20{}^\circ ,\] then the measure of \[\angle BOD\] is
A)
\[36{}^\circ \]
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B)
\[50{}^\circ \]
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C)
\[30{}^\circ \]
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D)
\[20{}^\circ \]
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E)
None of these
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The relation between a, b, c and d in the figure given below is:
A)
\[a+b=c+d\]
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B)
\[a+d=b+c\]
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C)
\[~a+b+c+d=360{}^\circ \]
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D)
All of these
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E)
None of these
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Which of the following cannot be the sides of a right angled triangle?
A)
3 cm, 4 cm and 5 cm
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B)
6 cm, 8 cm and 10 cm
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C)
6 cm, 9 cm and 12 cm
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D)
5 cm, 12 cm and 13 cm
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E)
None of these
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Find the measure of \[\angle \] y in the figure given below.
A)
\[37{}^\circ \]
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B)
\[61{}^\circ \]
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C)
\[67{}^\circ \]
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D)
\[109{}^\circ \]
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E)
None of these
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Find the area of the shaded region in the given figure.
A)
\[56\,c{{m}^{2}}\]
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B)
\[55\,c{{m}^{3}}\]
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C)
\[57\,c{{m}^{2}}\]
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D)
\[58\,c{{m}^{2}}\]
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E)
None of these
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A cow is tied to a pole in the middle of a park with a string 35 m long. Find the area over which the cow can graze.
A)
\[3650\,\,{{m}^{2}}\]
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B)
\[3850\,\,{{m}^{2}}\]
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C)
\[2550\,\,{{m}^{2}}\]
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D)
\[3450\,\,{{m}^{2}}\]
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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.4.5 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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The height of 10 girls are measured in cm and the result are as follows. How many girls are there whose heights are less than the mean height?
A)
4
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B)
3
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C)
1
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D)
6
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E)
None of these
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Find out the mean of the following data. 71, 75, 85, 64, 80, 15, 43, 35, 48, 46, 48, 49, 56, 50, 55, 60.
A)
50
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B)
52.5
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C)
55
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D)
48
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E)
None of these
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Sum of money which doubles itself in 8 years will triple itself at same interest rate in:
A)
12 years
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B)
16 years
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C)
14 years
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D)
24 years
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E)
None of these
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In the following diagram, square represents women, triangle represents teachers and circle represents graduates. Which number represents women graduate teachers?
A)
6
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B)
5
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C)
4
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D)
3
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E)
None of these
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View Answer play_arrow
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 following 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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