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)
\[5\frac{15}{37}\]
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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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In a college, \[\frac{1}{5}th\] of the students like basketball, \[\frac{1}{8}th\] of the remaining students like football and\[\frac{1}{5}th\] of the remaining like cricket. What is the total number of students in the college if the number of students who don't like any game is 210?
A)
385
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B)
275
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C)
425
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D)
375
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E)
None of these
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Find the sum:\[\left[ \left( \frac{3}{15}+\frac{12}{150}-\frac{10}{210} \right)+\frac{210}{450} \right]\]
A)
\[\frac{367}{105}\]
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B)
\[\frac{367}{525}\]
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C)
\[\frac{119}{525}\]
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D)
\[\frac{117}{525}\]
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E)
None of these
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Evaluate: \[{{\left( \frac{-1728}{2744} \right)}^{\frac{2}{3}}}{{\left( \frac{4096}{9216} \right)}^{\frac{1}{2}}}-{{\left( \frac{729}{343} \right)}^{\frac{2}{3}}}\]
A)
0
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B)
\[\frac{-109}{49}\]
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C)
\[-\frac{57}{49}\]
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D)
\[\frac{2152}{4208}\]
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E)
None of these
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If \[x+\frac{1}{x}=8,\] then the value of \[{{x}^{4}}+\frac{1}{{{x}^{4}}}\] 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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Which one of the following options is the solution of the equation\[\frac{7-x}{x+1}=3\]?
A)
4
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B)
3
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C)
2
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D)
1
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E)
None of these
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A man had a property worth Rs. 50,000. He gives 50% to his wife and the remaining amount in the ratio \[3:2\] to his two sons. The difference in the money got by the sons is:
A)
Rs. 5000
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B)
Rs. 10000
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C)
Rs. 15000
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D)
Rs. 25000
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E)
None of these
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There are 300 cats in a village and 75 of them are black, 65 of them are brown, 90 of them are white and rest of them are of mixed colours. What is the percentage of mixed colour cats in the village?
A)
\[23\frac{1}{3}%\]
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B)
\[25\frac{1}{5}%\]
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C)
\[30%\]
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D)
\[28\frac{2}{5}%\]
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E)
None of these
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A sum of money put at 9% per annum amount to Rs. 19,500 in 3 years and 4 months. What will it amount to in 4 years and 6 months at the same rate?
A)
Rs. 20,075
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B)
Rs. 18,736
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C)
Rs. 21,075
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D)
Rs.13,250
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E)
None of these
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In the given figure find the value of x if\[AB\parallel CD\,\And \,AF\parallel CE\].
A)
\[{{125}^{o}}\]
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B)
\[{{115}^{o}}\]
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C)
\[{{65}^{o}}\]
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D)
\[{{135}^{o}}\]
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E)
None of these
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The base of a parallelogram is twice its height. If the area of parallelogram is \[512\text{ }c{{m}^{2}}\], then find the base.
A)
\[\text{33 }c{{m}^{2}}\]
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B)
\[\text{32 }c{{m}^{2}}\]
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C)
\[\text{40 }c{{m}^{2}}\]
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D)
\[\text{199 }c{{m}^{2}}\]
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E)
None of these
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Find the number if Prikshit adds 19 to it and divides the sum by 5, he finds the result 8.
A)
12
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B)
21
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C)
13
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D)
31
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E)
None of these
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In the figure given below. Find the shaded part in percent.
A)
25%
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B)
52%
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C)
15%
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D)
23%
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E)
None of these
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In a school having strength of 740 students, 35% study Hindi. How many do not learn Hindi?
A)
148
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B)
418
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C)
481
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D)
841
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E)
None of these
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The number 477 is not divisible by which of the following numbers.
A)
3
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B)
6
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C)
9
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D)
AII of these
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E)
None of these
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If \[{{x}^{{{(5+a)}^{2}}}}\times {{x}^{(5-{{a}^{2}})}}={{x}^{40}}\], then find a.
A)
6
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B)
1
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C)
3
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D)
2
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E)
None of these
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Simplify: \[\frac{{{3}^{n}}+{{3}^{n+1}}}{{{3}^{n+1}}-{{3}^{n}}}\], where n is a natural number.
A)
1
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B)
2
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C)
7
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D)
5
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E)
None of these
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If \[x+\frac{1}{x}=2\], then find\[{{x}^{2013}}-\frac{1}{{{x}^{2012}}}\].
A)
1
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B)
0
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C)
3
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D)
\[-1\]
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E)
None of these
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If \[x-\frac{1}{2x}=2\], then. Find the value of \[\frac{4{{x}^{4}}+1}{4{{x}^{2}}}\].
A)
7
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B)
10
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C)
14
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D)
5
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E)
None of these
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A rhombus has____.
A)
One line of symmetry
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B)
No line of symmetry
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C)
Two lines of symmetry
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D)
Three lines of symmetry
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E)
None of these
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Two numbers are in the ratio of \[7:11\]. If 7 is added to each of the numbers the ratio becomes \[2:3\]. Find the numbers?
A)
4 and 77
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B)
17 and 19
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C)
49 and 11
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D)
49 and 77
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E)
None of these
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A train, 360m long, is running at a speed of 45 km/h. What time will it take to cross a 140m long bridge?
A)
41 second
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B)
45 second
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C)
40 second
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D)
31 second
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E)
None of these
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