Simplify : \[632\times 192+632\times 808\]
A)
614000
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B)
635000
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C)
632000
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D)
615000
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E)
None of these
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On dividing 6168 by a certain number, the quotient is 7 and the remainder is 1. Find the number.
A)
881
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B)
885
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C)
991
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D)
500
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E)
None of these
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Simplify : \[9-\{7-24\div (8+6\times 2+16)\}\].
A)
12
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B)
10
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C)
9
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D)
8
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E)
None of these
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Which one of the following options is correct in the given expression? \[45-[28-\{37-(15-K)\}]=58,\]the value of k is:
A)
17
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B)
\[-17\]
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C)
19
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D)
\[-19\]
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E)
None of these
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How many natural numbers upto 150 are divisible by 7?
A)
14
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B)
17
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C)
21
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D)
22
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E)
None of these
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If the perimeter of a certain rectangle is 76 and its area is 360, then what is the length of its shortest side?
A)
12
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B)
18
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C)
20
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D)
36
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E)
None of these
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In a class test containing 25 questions, 4 marks are given for every correct answer and \[\left( -2 \right)\]marks are given for every incorrect answer. Rahul attempts all the questions, but only 12 of his answers are correct. What will be his total score?
A)
25
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B)
24
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C)
23
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D)
22
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E)
None of these
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On solving \[14\,\,\frac{2}{7}\times 2\,\,\frac{6}{25}\times \,\,2\,\,\frac{1}{2}\times \,\,3\,\,\frac{1}{5}\] to its simplified form, we get:
A)
215
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B)
235
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C)
248
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D)
256
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E)
None of these
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A boy was asked to add \[5\,\,\frac{3}{5}\] to a given number. Instead of adding he subtract \[5\,\,\frac{3}{5}\] from the given number and got the result as \[\frac{1}{3}\] of the given number. Find the reciprocal of the given number.
A)
\[\frac{5}{14}\]
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B)
\[\frac{5}{28}\]
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C)
\[\frac{5}{42}\]
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D)
\[\frac{42}{5}\]
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E)
None of these
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Arrange \[\frac{1}{2},\frac{13}{16},\frac{7}{12},\frac{16}{29},\frac{3}{4}\] in ascending order :
A)
\[\frac{1}{2}<\frac{13}{16}<\frac{7}{12}<\frac{16}{29}<\frac{3}{4}\]
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B)
\[\frac{1}{2}<\frac{7}{12}<\frac{3}{4}<\frac{13}{16}<\frac{16}{29}\]
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C)
\[\frac{1}{2}<\frac{16}{29}<\frac{7}{12}<\frac{3}{4}<\frac{13}{16}\]
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D)
\[\frac{1}{2}<\frac{16}{29}<\frac{7}{12}<\frac{13}{16}<\frac{3}{4}\]
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E)
None of these
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Three - fourth of a number is 4 more than two-thirds of the same number. The number is
A)
28
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B)
36
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C)
48
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D)
52
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E)
None of these
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If \[\sqrt{14}=3.7416,\] then what is the value of\[\sqrt{\frac{2}{7}}\]?
A)
0.7414
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B)
0.5345
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C)
0.6565
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D)
0.5934
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E)
None of these
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If \[140\sqrt{x}+315=1015,\]then the value of x is:
A)
25
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B)
34
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C)
36
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D)
49
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E)
None of these
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If \[P*Q*R=\sqrt{\frac{(P+1)\,\,(Q-2)}{R}},\] then the value of \[9*20*5\]is:
A)
2
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B)
4
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C)
6
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D)
8
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E)
None of these
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Evaluate : \[{{(27)}^{\frac{-4}{3}}}\times {{(81)}^{\frac{7}{4}}}\times {{\left( \frac{1}{3} \right)}^{3}}\]
A)
1
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B)
2
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C)
3
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D)
4
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E)
None of these
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Evaluate: \[{{\left[ {{\left\{ {{(625)}^{\frac{-1}{3}}} \right\}}^{\frac{-1}{8}}} \right]}^{6}}\]
A)
2
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B)
3
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C)
4
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D)
5
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E)
None of these
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Find the value of \[9{{x}^{y}}-2{{y}^{x}},\]if \[x=3\]and \[y=-2\].
A)
9
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B)
12
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C)
15
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D)
17
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E)
None of these
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What must be subtracted from\[5{{a}^{2}}-10ab-5{{b}^{2}}-1\] to get \[4{{a}^{2}}-7ab-4{{b}^{2}}+1\]?
A)
\[-\,{{a}^{2}}+ab+{{b}^{2}}-2\]
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B)
\[{{a}^{2}}+3ab+4{{b}^{2}}+2\]
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C)
\[{{a}^{2}}-3ab-{{b}^{2}}-2\]
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D)
\[{{a}^{2}}-3ab-{{b}^{2}}+2\]
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E)
None of these
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If the value of a \[a+\,\,\frac{1}{a}=15,\] then find the value of\[{{a}^{3}}+\frac{1}{{{a}^{3}}}\].
A)
3330
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B)
3333
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C)
3355
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D)
3775
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E)
None of these
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The solution of the equation \[2\,\,(3x+7)+4\,\,(3x-2)=6\,\,(5x-9)-12\] is:
A)
A natural number
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B)
A rational number
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C)
An integer
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D)
All of these
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E)
None of these
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Three years ago James age was 7 times that of Jack. Three years after James age will be four times that of Jack's age. The present age of Jack is
A)
10 years
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B)
9 years
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C)
7 years
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D)
5 years
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E)
None of these
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Divide Rs. 1120 in the ratio \[\frac{1}{4}:\frac{1}{6}\]
A)
Rs. 672 and Rs. 448
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B)
Rs. 732 and Rs. 488
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C)
Rs. 572 and Rs. 548
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D)
Rs. 622 and Rs. 498
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E)
None of these
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Find the mean proportional of \[16\,\,(x-15)\] and \[9\,\,(15-x)\].
A)
\[5\,\,\left( x-15 \right)\]
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B)
\[12\,\,(x-15)\]
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C)
\[13\,\,\left( x-15 \right)\]
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D)
\[14\,\,\left( x-15 \right)\]
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E)
None of these
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Kamal obtained 325 marks out of a maximum of 400 marks. Find the percentage of marks obtained by him.
A)
75.5%
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B)
80.25%
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C)
81.25%
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D)
90.25%
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E)
None of these
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The population of a town is 16,000. If it increases at the rate of 10 % per annum, then what will be its population after 2 years?
A)
20620
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B)
19360
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C)
19200
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D)
18320
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E)
None of these
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A mobile phone is sold for Rs. 3800 at the loss of 5 %. What will be the gain or loss percent, if it is sold for Rs. 4200?
A)
10 % loss
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B)
8% gain
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C)
7 % loss
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D)
5% gain
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E)
None of these
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If the cost price of 10 greeting cards is equal to the selling price of 8 greeting cards, find the gain or loss percent.
A)
40 % loss
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B)
30% gain
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C)
25 % loss
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D)
20% gain
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E)
None of these
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At what rate percent per annum will Rs. 1640 amount to Rs. 1968 in \[2\,\,\frac{1}{2}\] years?
A)
6 % per annum
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B)
7 % per annum
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C)
8 % per annum
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D)
9 % per annum
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E)
None of these
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Simple interest on a certain sum is \[\frac{9}{16}\] of the sum. Find the rate and the time both if they are numerically equal.
A)
Rate \[=4\,\,\frac{1}{2}%\] p.a. and time \[=4\,\,\frac{1}{2}\] years
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B)
Rate \[=5\,\,\frac{1}{2}%\] p.a. and time \[=5\,\,\frac{1}{2}\] years
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C)
Rate \[=6\,\,\frac{1}{2}%\] p.a. and time \[=6\,\,\frac{1}{2}\] years
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D)
Rate \[=7\,\,\frac{1}{2}%\] p.a. and time \[=7\,\,\frac{1}{2}\] years
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E)
None of these
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A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at \[6\,\,\frac{1}{4}%\] p.a. for 2 years. Find his per year gain in the transaction.
A)
Rs. 167.50
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B)
Rs. 150.50
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C)
Rs. 125. 50
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D)
Rs. 112.50
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E)
None of these
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Two supplementary angles are in the ratio of 7 : 8. Find the angles.
A)
\[83{}^\circ \,and\,\,97{}^\circ \]
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B)
\[84{}^\circ \,and\,\,96{}^\circ \]
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C)
\[85{}^\circ \,and\,\,95{}^\circ \]
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D)
\[105{}^\circ \,and\,\,75{}^\circ \]
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E)
None of these
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In the following figure, the values of x and y are respectively:
A)
\[60{}^\circ \,and\,\,120{}^\circ \]
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B)
\[50{}^\circ \,and\,\,130{}^\circ \]
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C)
\[70{}^\circ \,and\,\,120{}^\circ \]
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D)
\[20{}^\circ \,and\,\,120{}^\circ \]
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E)
None of these
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In the given figure, if POQ is a straight line then \[\angle POT\] is equal to:
A)
\[144{}^\circ \]
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B)
\[145{}^\circ \]
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C)
\[48{}^\circ \]
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D)
\[50{}^\circ \]
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E)
None of these
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We know that median is the line segment which joins the mid-point to the opposite vertex. If the bisector of an angle of a triangle is also the median of the triangle, then in which condition a triangle is not possible?
A)
Equilateral
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B)
Isosceles
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C)
Right angled
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D)
Scalene
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E)
None of these
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In the following figure AB and CD are the two poles of heights 6 m and 11 m respectively. If distance between their feet is 12 m, then the distance between their top is:
A)
5 m
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B)
6 m
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C)
13 m
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D)
17 m
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E)
None of these
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A field is in the form of a right triangle as shown in the figure given below with hypotenuse 10 cm and one side 8 cm. Find the area of the field.
A)
\[22\,\,c{{m}^{2}}\]
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B)
\[23\,\,c{{m}^{2}}\]
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C)
\[40\,\,c{{m}^{2}}\]
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D)
\[24\,\,c{{m}^{2}}\]
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E)
None of these
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Find the area of the shaded region in the following figure, if ABCD is a square of side 14 cm and APB and DPC are semicircles.
A)
\[94\,\,c{{m}^{2}}\]
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B)
\[21\,\,c{{m}^{2}}\]
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C)
\[42\,\,c{{m}^{2}}\]
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D)
\[63\,\,c{{m}^{2}}\]
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E)
None of these
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The arithmetic mean of 5 numbers is 27. If one of the numbers is excluded, their mean becomes 25. The excluded number is:
A)
25
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B)
26
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C)
32
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D)
35
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E)
None of these
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How many triangles are there in the following figure?
A)
23
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B)
27
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C)
29
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D)
30
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E)
None of these
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Two positions of a dice are shown. When 4 is at the bottom what number will be on the top?
A)
1
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B)
2
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C)
5
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D)
6
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E)
None of these
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