What least value must be given to '*' so that the number 57289*6 is divisible by 11?
A)
4
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B)
7
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C)
3
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D)
2
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E)
None of these
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If \[x+\frac{1}{x}=8\] then the value of \[{{x}^{4}}+\frac{1}{{{x}^{4}}}=8\] is equal to:
A)
4526
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B)
3154
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C)
3528
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D)
3842
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E)
None of these
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Match the following:
(I) 3 is what percent of 5? (A) 40% (II) What percent of 27 is 54? (B) 60% (III) What percent of 2.5 litre is 100ml (C) \[8\frac{1}{3}\]% (IV) 5 is what percent of 60? (D) 200%
Which one of the following options is correct?
A)
(I) - B, (II) - C, (III) - A, (IV) - D
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B)
(I) - B, (II) - C, (III) - D, (IV) - A
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C)
(I) - C, (II) - D, (III) - B, (IV) - A
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D)
(I) - B, (II) - D, (III) - A, (IV) - C
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E)
None of these
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In the figure given below AD is the bisector of\[\angle EAF\]and ABCD is a rectangle.
Which one of the following is incorrect?
A)
\[\angle EAF=100{}^\circ \]
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B)
\[\angle FAB=40{}^\circ \]
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C)
\[\angle FAE=50{}^\circ \]
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D)
\[\angle BAD=90{}^\circ \]
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E)
None of these
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Simplify: \[\frac{35}{32}+\frac{15}{64}+\frac{65}{48}+\frac{75}{24}+\frac{25}{12}\]
A)
\[\frac{192}{5}\]
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B)
\[\frac{6825}{4}\]
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C)
\[\frac{505}{64}\]
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D)
\[\frac{13}{6825}\]
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E)
None of these
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What number must be added to \[\left( -\frac{7}{8} \right)\] get \[\frac{4}{9}\]?
A)
\[\frac{95}{72}\]
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B)
\[\frac{17}{62}\]
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C)
\[\frac{71}{63}\]
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D)
\[\frac{81}{73}\]
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E)
None of these
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The value of \[\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\] is:
A)
1
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B)
0
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C)
\[-1\]
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D)
10
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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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In an examination, a student was asked to find\[\left( \frac{1}{15} \right)\]of a certain number. By mistake he found \[\left( \frac{1}{5} \right)\]of that number. His answer was 40 more than the correct answer. Find the number.
A)
600
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B)
450
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C)
150
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D)
300
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E)
None of these
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There are 100 questions in the test booklet of Mathematics. If Stephen scores 140 marks when 2 marks are awarded for each correct answers and 1 marks is deducted for each incorrect answer then find the number of correct answers attempted by Stephen if he attempted all questions.
A)
65
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B)
85
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C)
80
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D)
75
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E)
None of these
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If the cost price of 20 articles 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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Find the measure of an angle, if seven times its complement is \[10{}^\circ \] less than three times its supplement.
A)
\[20{}^\circ \]
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B)
\[25{}^\circ \]
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C)
\[30{}^\circ \]
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D)
\[35{}^\circ \]
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E)
None of these
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If one angle of a triangle is greater than other two angles by \[30{}^\circ \] then the angles of the triangle are:
A)
\[40{}^\circ ,40{}^\circ \,and\,\,100{}^\circ \]
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B)
\[50{}^\circ ,50{}^\circ \,and\,\,80{}^\circ \]
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C)
\[30{}^\circ ,30{}^\circ \,and\,\,120{}^\circ \]
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D)
\[35{}^\circ ,35{}^\circ \,and\,\,110{}^\circ \]
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E)
None of these
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The values of x and y in the following figure are respectively:
A)
\[60{}^\circ \,and\,\,78{}^\circ \]
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B)
\[40{}^\circ \,and\,\,62{}^\circ \]
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C)
\[32{}^\circ \,and\,\,86{}^\circ \]
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D)
\[60{}^\circ \,and\,\,90{}^\circ \]
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E)
None of these
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Rakesh lent out Rs. 8750 at 7% annual interest. Find the simple interest in 3 year.
A)
Rs. 1870
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B)
Rs. 1837.50
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C)
Rs. 1560
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D)
Rs. 2200
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E)
None of these
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The perimeter of a rectangle is 24 cm. If length of the rectangle is 8 cm, find the ratio between length and the breadth.
A)
4 : 1
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B)
3 : 1
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C)
3 : 2
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D)
2 : 1
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E)
None of these
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If \[\sqrt{2}=1.4142\], then find the value of \[\frac{4\sqrt{2}+5}{4\sqrt{2}-5}\,\,+\,\,\frac{4\sqrt{2}-5}{4\sqrt{2}+5}\].
A)
162.857
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B)
16.2857
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C)
141.42
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D)
14.142
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E)
None of these
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Find the average of the set of scores: 566, 455, 231, 678, 989, 342, 715.
A)
590
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B)
555
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C)
568
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D)
513
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E)
None of these
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The ratio between the present ages of Ravi and Vinay is 7 :15 respectively. 2 yr from now, Vinay's age will become twice the age of Ravi. What was the difference between their ages 5 yr ago?
A)
13 yr
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B)
16 yr
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C)
11 yr
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D)
18 yr
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E)
None of these
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If \[\frac{a}{3}=\frac{b}{5}=\frac{c}{7},\]then find the value of \[\frac{a+b+c}{b}\].
A)
\[\frac{1}{5}\]
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B)
\[\frac{1}{3}\]
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C)
3
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D)
5
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E)
None of these
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The difference between the squares of two numbers is 2560 and sum of those numbers is 160. Find the numbers.
A)
82 and 66
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B)
88 and 72
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C)
92 and 68
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D)
45 and 22
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E)
None of these
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If \[a=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}},\]then \[a+\frac{1}{a}=\]?
A)
4
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B)
6
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C)
9
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D)
10
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E)
None of these
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If \[\frac{m}{4}-\frac{m-3}{6}=2,\]find the value of m.
A)
15
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B)
19
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C)
25
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D)
18
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E)
None of these
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A man spends \[\frac{2}{5}\] of his income on house rent, \[\frac{3}{10}\]on food and \[\frac{1}{8}\]on conveyance. If he has Rs. 2800 left with him, find his expenditure on food and conveyance together.
A)
Rs. 7000
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B)
Rs. 5500
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C)
Rs. 6700
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D)
Rs. 6800
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E)
None of these
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Maniram divides Rs. 17200 amongst his 5 sons, 4 daughters and 2 friends. If each daughter receives four times as much as each friend receives and each son receives five times as much as each friend receives, how much does each daughter receive?
A)
Rs. 800
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B)
Rs. 1500
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C)
Rs. 1000
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D)
Rs. 1600
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E)
None of these
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The total cost of 12 pens and 5 pencils is equal to Rs. 111. Also, the cost of 1 pencil is Rs. 5 less than the cost of 1 pen. What will be the cost of 8 pens and 9 pencils?
A)
Rs. 89
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B)
Rs. 97
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C)
Rs. 91
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D)
Rs. 78
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E)
None of these
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The sum of the two digits is 15 and the difference between them is 3. What is the product of the digits?
A)
56
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B)
63
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C)
42
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D)
54
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E)
None of these
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If 3 shirts and 4 pants cost Rs. 1200, find the cost of 12 shirts and 16 pants.
A)
Rs. 2400
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B)
Rs. 4800
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C)
Couldn't be determined
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D)
Data is inadequate
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E)
None of these
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8 % of A is equal to 4 % of B, then 20 % of A is
A)
10 % of B
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B)
15 % of B
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C)
20 % of B
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D)
25 % of B
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E)
None of these
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If length and breadth of a rectangle became half and double, respectively, what will be the resultant area?
A)
25 %
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B)
55 %
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C)
75 %
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D)
80 %
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E)
None of these
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A's income is 20 % more than that of B. By how much percent is B's income is less than that of A?
A)
\[16\,\,\frac{4}{5}\]%
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B)
\[16\,\,\frac{1}{3}\]%
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C)
\[16\,\,\frac{2}{3}\]%
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D)
\[16\,\,\frac{2}{7}\]%
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E)
None of these
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When \[\frac{1}{7}\] of a number is subtracted from the number itself, it gives the same value as the sum of all the angles of a triangle. What is the number?
A)
224
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B)
210
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C)
140
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D)
350
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E)
None of these
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A sum of Rs. 2668 amounts to Rs. 4669 in 5 year at the rate of simple interest. Find the rate percent.
A)
15.2%
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B)
14.9%
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C)
16%
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D)
15%
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E)
None of these
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If the fractions \[\frac{19}{21},\frac{21}{25},\frac{25}{29},\frac{29}{31}\] and \[\frac{31}{37}\] are arranged in ascending order of their values, which one will be the 2nd?
A)
\[\frac{19}{21}\]
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B)
\[\frac{21}{25}\]
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C)
\[\frac{25}{29}\]
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D)
\[\frac{29}{31}\]
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E)
None of these
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\[\left( \frac{1}{4} \right)\] th of number of boys and \[\left( \frac{3}{8} \right)\] th of number of girls participated in annual sports of the school. What fractional part of total number of students participated?
A)
32 %
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B)
20 %
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C)
36 %
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D)
Data inadequate
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E)
None of these
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The average of 50 numbers is 38. If the two numbers 45 and 55 are not considered, what will be the average of remaining numbers?
A)
36.5
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B)
37
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C)
37.5
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D)
37.52
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E)
None of these
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Mr. Bundda travels in his car and covers \[\frac{1}{4}\] part of his journey with 8 km/h \[\frac{3}{5}\] part with 6 km/h and remaining \[\frac{3}{20}\] part with a speed of 10 km/h. Find out his average speed during the whole journey.
A)
6.83 km/h
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B)
9 km/h
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C)
4 km/h
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D)
8.5 km/h
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E)
None of these
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If \[(a+b):(a-b)=5:3,\] then \[({{a}^{2}}+{{b}^{2}}):({{a}^{2}}-{{b}^{2}})=?\]
A)
17 : 15
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B)
25 : 9
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C)
4 : 1
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D)
16 : 1
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E)
None of these
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The ratio of the present ages of Sunita and Vinita is 4 : 5. Six years hence, the ratio of their ages will be 14 :17. What will be the ratio of their ages 12 years hence?
A)
17 : 19
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B)
15 : 19
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C)
13 : 15
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D)
16 : 19
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E)
None of these
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Arun is heavier than Govind. Manoj is lighter than John. Pravin is heavier than John but lighter than Govind. Who is the heaviest?
A)
Govind
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B)
John
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C)
Arun
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D)
Pravin
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E)
None of these
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