What least value should be replaced by * in the numeral 675*28 so that the numeral should be exactly divisible by 3?
A)
2
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B)
5
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C)
3
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D)
7
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E)
None of these
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Two-third of total cost of rice is Rs. 1800. What is the cost of whole quantity of rice?
A)
Rs. 2700
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B)
Rs. 2400
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C)
Rs. 2200
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D)
Rs. 2600
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E)
None of these
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Find the value of x in the expression: \[x+\frac{1}{2}-\frac{x}{3}=12\]
A)
\[11\frac{5}{7}\]
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B)
\[17\frac{1}{4}\]
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C)
\[15\frac{1}{3}\]
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D)
\[11\frac{3}{11}\]
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E)
None of these
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Find the area and perimetre of the picture given blow, if PQ=QR=RS=SP=15 cm and QM = 10 cm.
A)
\[149\,\,c{{m}^{2}},\,\,60\,\,cm\]
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B)
\[150\,\,c{{m}^{2}},\,\,60\,\,cm\]
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C)
\[244\,\,c{{m}^{2}},\,\,60\,\,cm\]
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D)
\[800\,\,c{{m}^{2}},\,\,60\,\,cm\]
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E)
None of these
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Simplify :\[\left[ \left\{ \left( 34\,+\,\frac{5}{7} \right)\,+\,\frac{1}{2} \right\}\,-\,3\frac{7}{9} \right]\]
A)
\[31\frac{2}{9}\]
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B)
\[31\frac{1}{7}\]
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C)
\[19\frac{6}{7}\]
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D)
\[16\frac{1}{2}\]
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E)
None of these
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Simplify: \[[\{(0.67+0.007-0.034)+45\}-0.68]+97\]
A)
141.963
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B)
145.894
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C)
151.376
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D)
167.543
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E)
None of these
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The fraction whose denominator is in the form of powers of ten is called :
A)
Decimal fraction
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B)
Natural number
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C)
Whole number
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D)
Composite number
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E)
None of these
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Which one of the following is correct for the ascending order of the following decimals? 23.45, 0.56, 34.78, 1.23, 4.56, 107.89. ?
A)
\[0.56<1.23<4.56<23.45<34.78<107.89\]
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B)
\[1.23<4.56<23.45<34.78<107.89<0.56\]
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C)
\[4.56<1.23<0.56<23.45<34.78<107.89\]
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D)
\[0.56<107.89<4.56<23.45<34.78<1.23\]
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E)
None of these
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A prime number has two factors 1 and the number itself. Which one of the following is correct about the prime factors of greatest number of two digit.
A)
\[3\,\times \,3\,\times \,11\,\times \,11\]
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B)
\[3\,\times \,3\,\times \,11\,\times \,11\,\times \,21\]
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C)
\[3\,\times \,3\,\times \,11\]
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D)
All of these
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E)
None of these
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Length and width of a rectangular plot are 188 m and 80 m respectively. What would be the maximum distance between two pillars so that length between every two pillars must be equal which is to be put all around the plot?
A)
5 m
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B)
4 m
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C)
6 m
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D)
7 m
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E)
None of these
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If \[2\,\times \,2\,\times \,2\,\times \,3\,\times \,3\,\times \,5\,\,and\,\,2\,\times \,2\,\times \,2\,\times \,3\,\times \,3\,\times \,5\,\times \,11\] are the prime factors of two different numbers then their LCM is:
A)
4055
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B)
3960
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C)
3456
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D)
4568
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E)
None of these
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Find the least number of six digits which when divided by, 6, 7 and 8 leaves remainder 5 in each cash.
A)
100173
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B)
100163
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C)
100177
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D)
100188
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E)
None of these
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The ratio of administrative staff to the workers in a factory is 2 : 11. Find the total number of administrative staff in the factory if total number of workers in the factory is 121.
A)
28
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B)
22
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C)
47
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D)
33
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E)
None of these
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Divide Rs. 180 in the ratio of 3 : 5 : 7.
A)
Rs. 36, Rs. 60 and Rs. 84
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B)
Rs. 24, Rs. 36 and Rs. 120
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C)
Rs. 46, Rs. 58, Rs. 76
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D)
Rs. 66, Rs. 78 and Rs. 36
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E)
None of these
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A pole of length 60 m casts a shadow of 70 m. Find the length of another pole which casts a shadow of 35 m at the same time.
A)
10 m
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B)
20 m
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C)
30 m
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D)
40 m
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E)
None of these
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Find the value of x if two ratios 12 : 13 and x : 26 are in proportion.
A)
24
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B)
32
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C)
40
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D)
70
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E)
None of these
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The ratio of male to female in a state is 6 : 5. Find the total number of males in the state if total number of females is 560000.
A)
760000
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B)
680000
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C)
672000
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D)
4278969
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E)
None of these
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Solve : \[(3{{a}^{2}}\,+\,6a\,-\,6)\,+\,({{a}^{2}}\,+\,a\,-\,6)\]
A)
\[4{{a}^{2}}\,+\,7a\,-\,12\]
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B)
\[4{{a}^{2}}\,+\,12\,-\,7a\]
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C)
\[4{{a}^{2}}\,-\,7a\]
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D)
\[7a\,-\,6\]
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E)
None of these
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Remove the bracket of the expression \[-(3x+5y-3z)\] and find which one is correct?
A)
\[-3x\,+\,5y\,+\,3z\]
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B)
\[-3x\,-\,5y\,+\,3z\]
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C)
\[-3x\,+\,5y\,-\,3z\]
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D)
All of these
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E)
None of these
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What should be subtracted from \[(6{{x}^{2}}+9{{y}^{2}}-5xy)\] to get \[(-{{x}^{2}})\,\,?\]
A)
\[(7{{x}^{2}}-9{{y}^{2}}-5xy)\]
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B)
\[(7{{x}^{2}}+9{{y}^{2}}-5xy)\]
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C)
\[(7{{x}^{2}}+9{{y}^{2}}+5xy)\]
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D)
All of these
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E)
None of these
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Angles of a triangle are in the ratio of 1 : 2 : 3. Find the measurement of the largest angle.
A)
\[95{}^\circ \]
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B)
\[94{}^\circ \]
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C)
\[90{}^\circ \]
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D)
\[100{}^\circ \]
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E)
None of these
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Which one of the following ratios of angles make a straight angle if the measurement of each of the angle is in whole number?
A)
7 : 6
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B)
11 : 7
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C)
5 : 7
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D)
Both (b) and (c)
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E)
None of these
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Find the value of x from the figure given below.
A)
\[20{}^\circ \]
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B)
\[180{}^\circ \]
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C)
\[110{}^\circ \]
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D)
\[120{}^\circ \]
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E)
None of these
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Maximum number of obtuse angles in a triangle may be:
A)
Three
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B)
Two
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C)
One
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D)
Zero
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E)
None of these
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Find the area of a right-angled triangle if base of the triangle is 45 cm and its height is 40 cm.
A)
\[900\,\,c{{m}^{2}}\]
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B)
\[800\,\,c{{m}^{2}}\]
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C)
\[870\,\,c{{m}^{2}}\]
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D)
\[770\,\,c{{m}^{2}}\]
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E)
None of these
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A rectangular lawn of length 40 m and breadth 25 m is to be surrounded all around by a path which is 2 m wide inside the lawn. Find the area of the path.
A)
\[228\,\,{{m}^{2}}\]
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B)
\[345\,\,{{m}^{2}}\]
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C)
\[308\,\,{{m}^{2}}\]
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D)
\[488\,\,{{m}^{2}}\]
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E)
None of these
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Simplify : \[\frac{7}{2}\,+\,\frac{4}{9}\,-\,\frac{1}{2}\,\times \,12.\]
A)
\[\frac{-7}{18}\]
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B)
\[\frac{-37}{18}\]
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C)
\[\frac{-3}{18}\]
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D)
\[\frac{4}{9}\]
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E)
None of these
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Find the area of a rectangle whose length is 15 cm more than its breath and perimetre of the rectangle is 58 cm.
A)
\[154\,\,c{{m}^{2}}\]
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B)
\[256\,\,c{{m}^{2}}\]
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C)
\[254\,\,c{{m}^{2}}\]
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D)
\[164\,\,c{{m}^{2}}\]
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E)
None of these
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Find the area and perimetre of the parallelogram whose sides an d altitude are as follows : AB = DC = 3 cm, AD = BC = 5 cm and BE = 4 cm.
A)
\[7\,\,c{{m}^{2}},\,\,16\,\,cm\]
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B)
\[8\,\,c{{m}^{2}},\,\,17\,\,cm\]
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C)
\[12\,\,c{{m}^{2}},\,\,16\,\,cm\]
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D)
\[16\,\,c{{m}^{2}},\,\,18\,\,cm\]
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E)
None of these
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A rectangular garden is 65 m long and 50 m wide. Two cross paths each of 2 m wide are to be reconstructed which are parallels to the sides. If these paths pass though the centre of the garden, find the cost of reconstruction of the paths at the rate of \[Rs.\,\,69\text{ }per\,\,{{m}^{2}}.\]
A)
Rs. 16000
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B)
Rs. 15795
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C)
Rs. 15594
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D)
Rs. 12000
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E)
None of these
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Find the maximum possible number of lines of symmetry in a rectangle.
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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How many lines of symmetry are there in an equilateral triangle?
A)
4
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B)
1
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C)
3
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D)
6
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E)
None of these
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Which one of the following is correct about the given triangle?
A)
All angles are right angles
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B)
All angles are acute angles
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C)
The sum of the angles of the triangle is more than \[180{}^\circ \]
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D)
Both (a) and (b)
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E)
None of these
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Add:\[11a-22b+46c\,\,and-5a+b-26c.\]
A)
\[-32a+27b+10c\]
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B)
\[18a+3b-10c\]
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C)
\[-18a+3b-10c\]
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D)
\[6a-21b+20c\]
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E)
None of these
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The present age of x is five times of the age of his son. After four years the age of x will be four times of the age of his son. Find the present age of his son.
A)
15 years
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B)
12 years
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C)
7 years
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D)
8 years
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E)
None of these
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Which one of the following is the decimal notation for the following: \[30\,+\,1\,+\,\frac{3}{10}\,+\,\frac{3}{10000}\]
A)
30.3004
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B)
31.0003
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C)
31.0030
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D)
31.3003
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E)
None of these
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There are two line segments in the figure below. Which one of the following is known as the longest chord of the circle?
A)
AB
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B)
CD
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C)
AC
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D)
BD
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E)
None of these
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Find the value of x if \[{{[{{\{{{({{3}^{2}})}^{2}}\}}^{3}}]}^{3}}]\,=\,{{9}^{x}}.\]
A)
8
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B)
18
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C)
9
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D)
4
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E)
None of these
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Simplify : \[\sqrt{{{\left( {{\left( {{(a+b)}^{2}} \right)}^{3}} \right)}^{4}}}\]
A)
\[{{(a+b)}^{12}}\]
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B)
\[{{(a+b)}^{24}}\]
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C)
\[{{(a+b)}^{3}}\]
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D)
\[{{(a+b)}^{9}}\]
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E)
None of these
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Find the expression which is formed by sixth multiple of x added to 19.
A)
\[6x\,+\,19\]
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B)
\[\frac{x}{6}\,=\,19\]
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C)
\[\frac{6}{x}\,+\,19\]
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D)
\[6(x\,+\,19)\]
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E)
None of these
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