Sum of two integers is 32. If one of the integer is \[-\,32,\]then the other is:
A)
64
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B)
32
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C)
\[-32\]
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D)
\[-64\]
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E)
None of these
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Find the value of the expression given by\[{{\left( \frac{2}{3} \right)}^{2}}\times {{\left( \frac{3}{4} \right)}^{2}}\times {{\left( \frac{4}{9} \right)}^{0}}\].
A)
\[\frac{1}{16}\]
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B)
\[\frac{1}{4}\]
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C)
\[\frac{1}{8}\]
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D)
\[\frac{2}{9}\]
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E)
None of these
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Find the solution of the equation\[\frac{x-1}{x+5}=7\].
A)
\[x=-\,3\]
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B)
\[x=-\,6\]
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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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The ratio of 700 g to 6 kg is:
A)
7 : 6
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B)
7 : 60
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C)
6 : 13
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D)
6 : 11
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E)
None of these
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\[\frac{1}{2}\] is what percent of \[\frac{1}{3}\]?
A)
4 %
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B)
150 %
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C)
2 %
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D)
1200 %
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E)
None of these
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If selling price of 10 note books is same as cost price of 5 note books, then find the loss %.
A)
20%
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B)
30 %
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C)
40%
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D)
50%
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E)
None of these
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Find the value of\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca,\]if a \[a=1,\]\[b=2\] and \[c=3\].
A)
2
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B)
1
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C)
3
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D)
7
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E)
None of these
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Find\[x\], from the figure given below.
A)
\[24{}^\circ \]
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B)
\[40{}^\circ \]
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C)
\[20{}^\circ \]
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D)
\[30{}^\circ \]
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E)
None of these
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In the following figure, BC is produced to D and CA is produced to E, if \[\angle DCA=95{}^\circ \] and \[\angle EAB=110{}^\circ ,\]then the value of \[x\] is :
A)
\[48{}^\circ \]
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B)
\[25{}^\circ \]
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C)
\[76{}^\circ \]
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D)
\[128{}^\circ \]
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E)
None of these
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Simplify : \[\frac{123}{4123}+\frac{167}{4123}+\frac{253}{4123}+\frac{189}{4123}+\frac{79}{4123}+\frac{131}{4123}\]
A)
\[\frac{942}{4132}\]
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B)
\[\frac{941}{4132}\]
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C)
\[\frac{942}{4123}\]
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D)
\[\frac{942}{4213}\]
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E)
None of these
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If \[x:8::3:2,\]then the value of \[x\] is :
A)
14
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B)
12
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C)
15
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D)
10
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E)
None of these
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In an examination, 96 % of the candidates passed and 100 failed. How many candidates appeared?
A)
2500
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B)
2700
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C)
2750
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D)
2900
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E)
None of these
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\[\frac{3}{15},\frac{15}{25},\frac{7}{14}\] Find the value of\[x\].
A)
21
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B)
10
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C)
20
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D)
23
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E)
None of these
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If \[a+b+c=9\] & \[ab+bc=40,\]find \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]?
A)
1
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B)
2
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C)
4
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D)
6
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E)
None of these
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If \[\frac{5}{7}=\frac{x}{35}=\frac{y}{49},\]then the values of \[x\] and \[y\] are respectively ________.
A)
25, 35
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B)
35, 25
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C)
15, 35
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D)
35, 15
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E)
None of these
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A shopkeeper buys a toy for Rs. 250 & sells it for Rs. 285. Find his gain?
A)
25
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B)
36
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C)
35
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D)
57
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E)
None of these
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What would be the simple interest obtained on an amount of Rs. 4450 at the rate of 9% p.a. for 2 years?
A)
Rs. 801
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B)
Rs. 811
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C)
Rs. 810
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D)
Rs. 800
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E)
None of these
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If average of 11 consecutive odd numbers is 17, what is the difference between the smallest and the largest number?
A)
18
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B)
20
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C)
24
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D)
32
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E)
None of these
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Which one of the following is a rational number?
A)
\[\frac{5}{7}\]
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B)
\[\pi \]
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C)
\[\frac{\pi }{2}\]
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D)
\[2\pi \]
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E)
None of these
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Evaluate: \[{{\left( 0.0081 \right)}^{\frac{1}{4}}}\]
A)
0.03
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B)
0.003
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C)
0.3
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D)
3
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E)
None of these
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If \[P=[19-12\div \{16-(26-30)\}]\] and \[Q=[6\times \{5+10\div 2-10\}],\]then \[(P+Q)({{P}^{2}}+{{Q}^{2}})\times Q\] is equal to:
A)
10
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B)
0
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C)
19
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D)
12
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E)
None of these
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Ravi scored 225 marks in a test and failed by 15 marks. If the passing percentage of passing the test is 25 per cent. What are the maximum marks of the test?
A)
860
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B)
840
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C)
920
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D)
960
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E)
None of these
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Find the area of right angled triangle with hypotenuse 25 cm & base 7 cm.
A)
54
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B)
64
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C)
74
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D)
84
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E)
None of these
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A bus travels 126 km in 3 hours and a train travels 315 km in 5 hours. The ratio of their speeds is
A)
126 : 315
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B)
2 : 3
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C)
1 : 3
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D)
3 : 5
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E)
None of these
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If \[P=\frac{-\,4}{5}\times \left( \frac{-10}{9} \right)\times \left( \,\frac{3}{4} \right)\]and \[Q=(-\,6)\times \frac{7}{5}\times \frac{2}{3}\] then P + Q is equal to:
A)
\[-\,2\,\,\frac{14}{15}\]
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B)
\[-\,4\,\,\frac{14}{15}\]
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C)
\[-\,3\,\,\frac{14}{15}\]
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D)
\[-\,1\,\,\frac{14}{15}\]
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E)
None of these
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Which of the following cannot be the sides of a right angled triangle?
A)
3 cm, 4 cm and 5 cm
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B)
6 cm, 8 cm and 10 cm
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C)
6 cm, 9 cm and 12cm
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D)
5 cm, 12 cm and 13 cm
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E)
None of these
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The ratio of father's age to that of his son is equal to the ratio of the mother's age to that of her daughter. If the ages of mother, son, and daughter be 48, 24, and 18 years respectively, then the age of the father is
A)
54 years
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B)
60 years
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C)
64 years
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D)
50 years
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E)
None of these
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A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total amount is Rs. 420, find the total number of coins.
A)
798
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B)
789
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C)
978
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D)
987
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E)
None of these
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The base of an isosceles triangle, whose area is 60 sq. cm and length of one of the equal sides is 13 cm, is:
A)
10 cm
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B)
5 cm
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C)
12 cm
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D)
All of these
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E)
None of these
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Find the supplement of an angle which is 5 times of its complement.
A)
\[150{}^\circ \]
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B)
\[105{}^\circ \]
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C)
\[130{}^\circ \]
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D)
\[60{}^\circ \]
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E)
None of these
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80 students of the same height stand with both hands stretched all along the sides of a rectangular garden, each student covering a length of 1.75 m. Then the perimeter of the garden is
A)
1400 m
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B)
140 m
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C)
14 m
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D)
1400 km
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E)
None of these
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If perimeter of a square is tripled, then its area will become _______ of original area.
A)
4 times
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B)
\[\frac{1}{4}\]times
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C)
9 times
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D)
\[\frac{1}{9}\]times
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E)
None of these
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Arrange the following in increasing order:\[\frac{3}{15},\frac{15}{25},\frac{7}{14}\]
A)
\[\frac{15}{25},\frac{7}{14},\frac{3}{15}\]
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B)
\[\frac{7}{14},\frac{3}{15},\frac{15}{25}\]
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C)
\[\frac{15}{25},\frac{3}{15},\frac{7}{14}\]
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D)
\[\frac{3}{15},\frac{7}{14},\frac{15}{25}\]
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E)
None of these
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The ratio of the diagonals of two squares is 2 : 1. Find the ratio of their areas.
A)
1 : 4
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B)
4 : 1
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C)
4 : 2
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D)
16 : 8
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E)
None of these
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In the following figure find\[x\], if AX is parallel to CY.
A)
\[130{}^\circ \]
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B)
\[160{}^\circ \]
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C)
\[200{}^\circ \]
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D)
\[170{}^\circ \]
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E)
None of these
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Solve for\[x:\,\,\frac{x}{4}+\frac{1}{3}=\frac{x}{5}-\frac{1}{3}\]
A)
\[\frac{-\,40}{3}\]
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B)
\[\frac{40}{3}\]
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C)
\[\frac{-\,20}{3}\]
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D)
\[\frac{20}{3}\]
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E)
None of these
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Find the value of\[{{\left( \frac{1}{216} \right)}^{\frac{-2}{3}}}\div {{\left( \frac{1}{27} \right)}^{\frac{-4}{3}}}\]
A)
\[\frac{5}{9}\]
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B)
\[\frac{4}{9}\]
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C)
\[\frac{7}{9}\]
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D)
\[\frac{1}{3}\]
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E)
None of these
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The total cost of flooring a room at Rs. 8.50 per sq. metre is Rs. 510. If the length of the room is 8 metres, find its breadth.
A)
7.4 m
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B)
7.5 m
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C)
8.5 m
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D)
5.8 m
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E)
None of these
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An athlete takes 5 rounds of a rectangular park, 50 m long and 250 dm wide. Then the total distance covered by him is
A)
150 m
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B)
75 m
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C)
750 m
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D)
300 m
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E)
None of these
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Which shall come next in the series given below? 6, 12, 20, 30, ?
A)
40
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B)
42
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C)
52
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D)
48
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E)
None of these
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