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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Simplify: \[\frac{14}{5}+\frac{3}{15}+\frac{6}{15}+\frac{7}{20}+\frac{16}{25}\]
A)
4.39
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B)
407
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C)
40.7
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D)
4.07
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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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Evaluate: \[{{(65)}^{\frac{6}{5}}}\times {{(65)}^{\frac{1}{5}}}\]
A)
\[{{1}^{2}}+{{2}^{2}}+{{3}^{2}}+{{3}^{2}}+{{4}^{2}}+{{5}^{2}}\]
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B)
\[{{1}^{2}}+{{1}^{2}}+{{2}^{2}}+{{3}^{2}}+{{3}^{2}}+{{4}^{2}}+{{5}^{2}}\]
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C)
\[{{1}^{2}}+{{1}^{2}}+{{2}^{2}}+{{3}^{2}}+{{4}^{2}}+{{5}^{2}}+{{6}^{2}}\]
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D)
\[{{1}^{2}}+{{1}^{2}}+{{2}^{2}}+{{3}^{2}}+{{3}^{2}}+{{4}^{2}}+{{5}^{2}}+{{6}^{2}}\]
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E)
None of these
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Find the value of A, B, C, D, E and F for which \[(A\times B)\div (C\times D)=E\times F\]
A)
(6, 5, 7, 0, 50, 45)
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B)
(6, 7, 5, 0, 45, 50)
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C)
(45, 50, 6, 5, 5, 15)
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D)
(6, 5, 7, 0, 45, 50)
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E)
None of these
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Solve for \[x:\frac{x}{4}+\frac{1}{3}=\frac{x}{5}-\frac{1}{3}\].
A)
\[\frac{-40}{3}\]
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B)
\[\frac{40}{3}\]
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C)
\[\frac{-20}{3}\]
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D)
\[\frac{20}{3}\]
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E)
None of these
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Arrange the ratios \[(2:3),\,(4:7),(7:10),\] and \[(7:10)\] in descending order:
A)
\[(5:9)>(4:7)>(2:3)>(7:10)\]
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B)
\[(7:10)>(4:7)>(2:3)>(5:9)\]
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C)
\[(7:10)>(2:3)>(4:7)>(5:9)\]
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D)
\[(2:3)>(4:7)>(5:9)>(7:10)\]
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E)
None of these
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In an election, there were two candidates P and Q. The total number of voters in this constituency were 30,000 and 70 % of total votes were polled. If 50 % east the votes in favour of B, then how many votes were received by A?
A)
12,600
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B)
10,500
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C)
7,400
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D)
21,000
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E)
None of these
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Stephen bought a cooler for? 4257. Due to some defect in it, he had to pay Rs. 243 to the mechanic for its repair. Then he sold it for Rs. 4300. Find his loss percent.
A)
4.44%
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B)
4%
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C)
5%
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D)
5.44%
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E)
None of these
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What annual payment will discharge a debt of Rs. 19350 due in 4 years at the rate of 5 % simple interest?
A)
Rs. 16125
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B)
Rs. 3000
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C)
Rs. 3524
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D)
Rs. 3250
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E)
None of these
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In the following figure, \[\angle \,A={{70}^{0}}\]. The bisector of \[\angle \,B\]and \[\angle \,C\]meet at 0. Find the measure of\[\angle \,BOC\].
A)
\[125{}^\circ \]
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B)
\[175{}^\circ \]
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C)
\[55{}^\circ \]
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D)
\[110{}^\circ \]
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E)
None of these
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Mean of 9 observations was found to be 35. Later on it was detected that an observation 81 was misread as 18. Find the correct mean of the observations.
A)
37
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B)
42
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C)
37.5
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D)
38.5
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E)
None of these
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The sum of two rational numbers is\[-2\]. If one of the number is\[\frac{-12}{5}\], find the other.
A)
\[\frac{5}{2}\]
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B)
\[\frac{2}{5}\]
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C)
\[\frac{3}{5}\]
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D)
\[\frac{7}{5}\]
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E)
None of these
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Evaluate: \[{{({{5}^{-1}}-{{7}^{-1}})}^{-1}}\]
A)
\[\frac{35}{2}\]
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B)
\[\frac{2}{35}\]
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C)
\[\frac{1}{7}\]
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D)
\[\frac{2}{15}\]
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E)
None of these
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Five is added to thrice of a whole number gives 45. Find the number.
A)
21
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B)
12
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C)
13
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D)
31
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E)
None of these
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The sum of two consecutive multiples of 3 is 69. Find numbers.
A)
22, 66, 12
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B)
11, 33, 36
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C)
21, 22, 26
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D)
45, 33, 7
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E)
None of these
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If 8.4% of x = 42, Find x
A)
5
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B)
50
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C)
500
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D)
5000
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E)
None of these
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If the selling price of 10 articles is equal to the cost price of 11 articles. Find the gain percent.
A)
10%
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B)
15%
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C)
21%
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D)
5%
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E)
None of these
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The first three terms of a proportion are 3, 5 and 21 respectively. Find its fourth term.
A)
53
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B)
35
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C)
15
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D)
21
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E)
None of these
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\[({{a}^{4}}-{{a}^{2}})\div ({{a}^{3}}+{{a}^{2}})=?\]
A)
\[{{a}^{2}}+1\]
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B)
\[a+1\]
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C)
\[a-1\]
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D)
\[{{a}^{2}}-1\]
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E)
None of these
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If \[a:b=2:5\], then find the value of\[(3a+2b)/(4a+b)\].
A)
\[\frac{13}{16}\]
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B)
\[\frac{16}{17}\]
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C)
\[\frac{16}{13}\]
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D)
\[\frac{21}{17}\]
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E)
None of these
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If \[\frac{25p+14q}{5q+7q}=\frac{8}{3}\]then find\[p\,:\,q\].
A)
\[\frac{2}{3}\]
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B)
\[\frac{2}{5}\]
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C)
\[\frac{3}{5}\]
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D)
\[\frac{4}{5}\]
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E)
None of these
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Which one of the following is correct statement?
A)
\[a+a+a+----(n\,times)={{a}^{n}}\]
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B)
\[a\times a\times a\times ----(n\,times)={{n}^{a}}\]
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C)
\[\frac{{{a}^{m}}}{{{b}^{m}}}={{\left( \frac{a}{b} \right)}^{m}}\]
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D)
\[\frac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m+n}}\]
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E)
None of these
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