John goes 10 km towards east from a point P to another point Q. From Q he moves 7 km towards his left reach at another point S and again 10 km towards his left and finally reach at point R. If the distance towards north and east are represented by positive integer then which integer will represent his final distance from P?
A)
\[-27\,km\]
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B)
7 km
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C)
\[-7\,km\]
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D)
17 km
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E)
None of these
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Which one of the following options represent fractions in ascending order?
A)
\[\frac{14}{25},\frac{4}{5},\frac{9}{14},\frac{21}{26},\frac{17}{29}\]
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B)
\[\frac{14}{25},\frac{9}{14},\frac{4}{5},\frac{21}{26},\frac{17}{29}\]
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C)
\[\frac{9}{14},\frac{4}{5},\frac{14}{25},\frac{21}{26},\frac{17}{29}\]
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D)
\[\frac{14}{25},\frac{9}{14},\frac{17}{29},\frac{4}{5},\frac{21}{26}\]
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E)
None of these
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If the sum of two rational numbers is \[\frac{8}{17}\] and if one of the number is\[\frac{9}{16}\], then find the other rational number.
A)
\[\frac{25}{272}\]
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B)
\[\frac{5}{272}\]
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C)
\[\frac{-5}{272}\]
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D)
\[\frac{-25}{272}\]
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E)
None of these
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Evaluate : \[{{\left[ {{(64)}^{^{\frac{-5}{3}}}} \right]}^{-\frac{1}{2}}}\]
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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Which one of the following options is the correct value of the expression \[\frac{ax+by+cz}{az+bx+cy}\] if\[a=1\],\[b=2\], \[c=-1\], \[x=-1\], \[y=2\]and\[z=3\]?
A)
2
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B)
\[-2\]
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C)
3
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D)
0
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E)
None of these
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Find the solution of the equation\[\frac{4x-1}{5x+7}=5\].
A)
\[x=\frac{12}{7}\]
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B)
\[x=-\frac{12}{7}\]
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C)
\[x=-2\]
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D)
\[x=-9\]
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E)
None of these
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Jennifer mixes 1600 ml of orange juice with 4 / 800 ml of apple juice to make a fruit drink. Find the ratio of orange juice to apple juice in its simplest from.
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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After spending 70 % of his income and giving 10 % of the remainder to the charity, John has Rs. 5400 left with him. Find the income of John.
A)
Rs. 18000
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B)
Rs. 20000
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C)
Rs. 25000
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D)
Rs. 30000
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E)
None of these
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A man purchases one shirt and one T-shirt for Rs. 6000. He sells the shirt at a profit of 20 % and T-shirt at a loss of 10 %, as a result he gains 2 % on whole transaction. The cost price of T-shirt is:
A)
Rs. 3600
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B)
Rs. 2400
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C)
Rs. 1200
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D)
Rs. 4800
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E)
None of these
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Robert borrowed an amount of Rs. 15,000 from the money lender at the rate of 13% per annum for 3 years compounded annually. Find the interest he will have to pay at the end of three years.
A)
Rs. 6,643.45
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B)
Rs. 6,650
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C)
Rs. 6600
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D)
Rs. 6,700
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E)
None of these
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Four triangles are formed by joining the midpoints 6f the three sides of a triangle, then:
A)
Two triangles are congruent
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B)
Three triangles are congruent
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C)
All the triangles are congruent
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D)
None are congruent
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E)
None of these
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Stuart performs his project work on the topic to find the number of students who likes soft drink of different flavours in a school. After collecting the data he wants to know the most flavoured soft drink which is liked by most of the students. Which central tendency makes his wish true?
A)
Mean
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B)
Raw data
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C)
Median
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D)
Mode
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E)
None of these
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Evaluate: \[(1+3+5+7+9+11+13+15)\frac{5}{6}\]
A)
23
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B)
32
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C)
46
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D)
64
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E)
None of these
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If a = 36, then find the value of \[{{a}^{{{36}^{0}}}}-{{a}^{{{0}^{36}}}}\]
A)
36
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B)
35
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C)
11
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D)
0
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E)
None of these
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If\[a+b+c=0\], then find the value of\[\sqrt{{{x}^{a}}\times {{x}^{b}}\times {{x}^{c}}}\].
A)
0
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B)
1
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C)
3
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D)
5
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E)
None of these
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25% of a number is more than 18% of 650 by 19. Find the number.
A)
545
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B)
445
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C)
554
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D)
544
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E)
None of these
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A man loses 10% by selling an article for Rs. 144. At what price should he sell it to gain 10%?
A)
Rs. 172
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B)
Rs. 192
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C)
Rs. 176
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D)
Rs. 154
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E)
None of these
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Find the value of m in the equation given below. \[m-\frac{m-1}{2}=1-\frac{m-2}{3}\]
A)
\[\frac{7}{5}\]
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B)
\[\frac{5}{7}\]
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C)
\[\frac{5}{9}\]
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D)
\[\frac{3}{5}\]
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E)
None of these
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Which one of the following is equal to \[{{4}^{4}}+{{4}^{4}}+{{4}^{4}}+{{4}^{4}}\]?
A)
416
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B)
48
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C)
47
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D)
45
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E)
None of these
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If \[\frac{x}{y}=\frac{7}{4}\], find the value of \[\frac{{{x}^{2}}+{{y}^{2}}}{{{x}^{2}}-{{y}^{2}}}\]
A)
\[\frac{49}{27}\]
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B)
\[\frac{72}{43}\]
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C)
\[\frac{65}{33}\]
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D)
\[\frac{44}{75}\]
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E)
None of these
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Find the mean proportional between 6 and 24.
A)
36
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B)
16
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C)
12
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D)
8
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E)
None of these
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If \[A:B=5:4\]and\[B:C=6:7\], then find\[A:C\].
A)
\[\frac{15}{14}\]
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B)
\[\frac{5}{7}\]
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C)
\[\frac{9}{14}\]
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D)
\[\frac{11}{14}\]
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E)
None of these
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If y% of 100 = 1, then find the value of y.
A)
0
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B)
10
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C)
100
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D)
1
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E)
None of these
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