A)
\[104{}^\circ \]
done
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B)
\[105{}^\circ \]
done
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C)
\[110{}^\circ \]
done
clear
D)
\[115{}^\circ \]
done
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E)
None of these
done
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View Answer play_arrow
A)
\[\left( -\,2,\,\,\text{3},\,\,1 \right)\]
done
clear
B)
(2, 4, 6)
done
clear
C)
(3, 3, 1)
done
clear
D)
\[\left( 4,\,\,7,-\,5 \right)\]
done
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E)
None of these
done
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View Answer play_arrow
A)
8 m
done
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B)
4.8 m
done
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C)
2.8 m
done
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D)
1.6 m
done
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E)
None of these
done
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View Answer play_arrow
Directions: In a group of 100 children 32% play hockey 64% play football and 40% play cricket. 14% play hockey and football 15% play football and cricket 13% play hockey and cricket. Only 6% play all the three games.
How many children play only one game?
A)
70
done
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B)
60
done
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C)
50
done
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D)
30
done
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E)
None of these
done
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View Answer play_arrow
Directions: In a group of 100 children 32% play hockey 64% play football and 40% play cricket. 14% play hockey and football 15% play football and cricket 13% play hockey and cricket. Only 6% play all the three games.
How many children play at least two games?
A)
41
done
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B)
35
done
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C)
30
done
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D)
28
done
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E)
None of these
done
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View Answer play_arrow
Directions: In a group of 100 children 32% play hockey 64% play football and 40% play cricket. 14% play hockey and football 15% play football and cricket 13% play hockey and cricket. Only 6% play all the three games.
How many children play hockey or football but not cricket?
A)
45
done
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B)
60
done
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C)
70
done
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D)
85
done
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E)
None of these
done
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View Answer play_arrow
A)
\[{{x}^{2}}+6x+6\]
done
clear
B)
\[{{x}^{2}}-6x+6\]
done
clear
C)
\[{{x}^{2}}+2x+4\]
done
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D)
\[{{x}^{2}}+6x-6\]
done
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E)
None of these
done
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View Answer play_arrow
A)
\[-\,2,\,\,3\,\,and\,\,7\]
done
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B)
\[-\,1,\,\,2\,\,and\,\,5\]
done
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C)
\[-\,3,\,\,2\,and\,\,7\]
done
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D)
\[-\,4,\,\,2\,and\,\,5\]
done
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E)
None of these
done
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View Answer play_arrow
A)
\[a=3,\,\,b=-\,6\]
done
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B)
\[a=3,\,\,b=+\,6\]
done
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C)
\[a=2,\,\,b=-\,5\]
done
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D)
\[a=3,\,\,b=-\,2\]
done
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E)
None of these
done
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View Answer play_arrow
A)
84
done
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B)
36
done
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C)
34
done
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D)
93
done
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E)
None of these
done
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View Answer play_arrow
A)
20
done
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B)
80
done
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C)
100
done
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D)
200
done
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E)
None of these
done
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View Answer play_arrow
A)
16 seconds
done
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B)
18 seconds
done
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C)
12 seconds
done
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D)
20 seconds
done
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E)
None of these
done
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View Answer play_arrow
A)
Rs. 5.50, Rs. 1085
done
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B)
Rs. 8.50, Rs. 1185
done
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C)
Rs. 9.50, Rs. 1185
done
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D)
Rs. 9.50, Rs. 1200
done
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E)
None of these
done
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View Answer play_arrow
A)
\[{{x}^{3}}-3{{x}^{2}}-x+3\]
done
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B)
\[{{x}^{3}}+3{{x}^{2}}+x+3\]
done
clear
C)
\[{{x}^{3}}-3{{x}^{2}}-x-3\]
done
clear
D)
\[{{x}^{3}}+3{{x}^{2}}-x-3\]
done
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E)
None of these
done
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View Answer play_arrow
A)
\[\frac{5}{2}\,\,cm\]
done
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B)
\[\frac{3}{2}\,\,cm\]
done
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C)
\[\frac{5}{3}\,\,cm\]
done
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D)
\[\frac{5}{4}\,\,cm\]
done
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E)
None of these
done
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View Answer play_arrow
A)
\[73\,\,m,\,\,43.3\,\,m\]
done
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B)
\[43.3\,\,m,\,\,75\,\,m\]
done
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C)
\[75\,\,m,\,\,41.3\,\,m\]
done
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D)
\[75\,\,m,\,\,43.3\,\,m\]
done
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E)
None of these
done
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View Answer play_arrow
Find the ratio in which the point \[\left( -\,3,\,\,k \right)\] divides the line segment joining the points \[\left( -\,5,\,-\,4 \right)\] and \[\left( -\,2,\,\,3 \right)\].
A)
\[3:1\]
done
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B)
\[1:1\]
done
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C)
\[2:1\]
done
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D)
\[2:2~\]
done
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E)
None of these
done
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View Answer play_arrow
A)
6 cm
done
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B)
8 cm
done
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C)
4 cm
done
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D)
12 cm
done
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E)
None of these
done
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View Answer play_arrow
A)
a = 1, b = 3
done
clear
B)
a = 1, b = 5
done
clear
C)
a = 3, b = 1
done
clear
D)
a = 2, b = 4
done
clear
E)
None of these
done
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View Answer play_arrow
A)
Rs. 1600, Rs. 2640
done
clear
B)
Rs. 1594, Rs. 2640
done
clear
C)
Rs. 1694, Rs. 2110
done
clear
D)
Rs. 1694, Rs. 2640
done
clear
E)
None of these
done
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View Answer play_arrow
A)
6.2 cm, 5 cm
done
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B)
7.2 cm, 9 cm
done
clear
C)
5.2 cm, 9 cm
done
clear
D)
6.2 cm, 8 cm
done
clear
E)
None of these
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View Answer play_arrow
A)
8 cm
done
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B)
5 cm
done
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C)
3 cm
done
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D)
2 cm
done
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E)
None of these
done
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View Answer play_arrow
In\[\Delta \,ABC,\]\[\angle B=90{}^\circ ,\] AB = 16 cm, AC = 20 cm. D and E are points on AB and AC respectively such that \[\angle AED=90{}^\circ \] and \[DE=4\,\,cm\]. Find the value of \[\frac{\text{area}\,\,\text{of}\,\,\text{quadrilateral}\,\,\text{BCED}}{\text{area}\,\,\text{of}\,\,\Delta \,\text{ABC}}\]
A)
\[\frac{10}{3}\]
done
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B)
\[\frac{3}{10}\]
done
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C)
\[\frac{8}{9}\]
done
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D)
\[\frac{9}{8}\]
done
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E)
None of these
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View Answer play_arrow
A)
\[P{{Q}^{2}}=QB\times QC\]
done
clear
B)
\[P{{Q}^{2}}=Q{{B}^{2}}\times Q{{C}^{2}}\]
done
clear
C)
\[P{{B}^{2}}=QC\times QB\]
done
clear
D)
\[P{{B}^{2}}=PQ\times QB\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[28,\,\,24\]
done
clear
B)
\[26,\,\,24\]
done
clear
C)
\[27,\,\,20\]
done
clear
D)
\[30,\,\,28\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[\frac{23}{12}\]
done
clear
B)
\[-\,6\]
done
clear
C)
\[\frac{3}{2}\]
done
clear
D)
\[\frac{-\,23}{12}\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[q(x)=-{{x}^{2}}-5x-26,\] \[r(x)=130x+20\]
done
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B)
\[q(x)=-{{x}^{2}}-5x-26,\] \[r(x)=135x+24\]
done
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C)
\[r(x)=-{{x}^{2}}-5x-25,\] \[q(x)=135x+24\]
done
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D)
\[q(x)=-x-2x-26,\] \[r(x)=135x+22\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[\left( \frac{2}{3},\,\,2 \right),\,\,(1,\,\,3),\,\,\left( -\frac{2}{1},\,\,5 \right)\]
done
clear
B)
\[\left( \frac{2}{3},\,\,2 \right),\,\,(1,\,\,3),\,\,\left( -\frac{2}{1},\,\,6 \right)\]
done
clear
C)
\[\left( -\frac{3}{2},\,\,2 \right),\,\,(-1,\,\,4),\,\,\left( -\frac{1}{2},\,\,6 \right)\]
done
clear
D)
\[\left( -\frac{3}{2},\,\,2 \right),\,\,(-1,\,\,3),\,\,\left( \frac{1}{1},\,\,6 \right)\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
49th
done
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B)
43th
done
clear
C)
47th
done
clear
D)
48th
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[4\,\,\frac{17}{24}\]
done
clear
B)
\[3\,\,\frac{17}{24}\]
done
clear
C)
\[4\,\,\frac{-17}{24}\]
done
clear
D)
\[5\,\,\frac{17}{24}\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
1, 3, 4, 2
done
clear
B)
3, 2, 4, 1
done
clear
C)
2, 3, 1, 4
done
clear
D)
4, 3, 2, 1
done
clear
E)
None of these
done
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View Answer play_arrow
A)
27
done
clear
B)
12
done
clear
C)
144
done
clear
D)
1728
done
clear
E)
None of these
done
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View Answer play_arrow
A)
C
done
clear
B)
D
done
clear
C)
E
done
clear
D)
F
done
clear
E)
None of these
done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
E)
None of these
done
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View Answer play_arrow
A)
E
done
clear
B)
B
done
clear
C)
C
done
clear
D)
D
done
clear
E)
None of these
done
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View Answer play_arrow
A)
She is a student.
done
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B)
She is a lawyer.
done
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C)
She is an engineer.
done
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D)
She is a doctor.
done
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E)
None of these
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View Answer play_arrow
A)
a b a b a c
done
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B)
a c b c a b
done
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C)
a b a b c a
done
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D)
a c a c a b
done
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E)
None of these
done
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View Answer play_arrow
Direction: Read the following information carefully and answer the questions given below it: The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D.
Whose income is the highest?
A)
A
done
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B)
B
done
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C)
C
done
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D)
D
done
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E)
None of these
done
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View Answer play_arrow
Direction: Read the following information carefully and answer the questions given below it: The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D.
Which of the following statements is not correct?
A)
A earns more than B.
done
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B)
B earns more than D.
done
clear
C)
C earns more than D.
done
clear
D)
B earns more than C.
done
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E)
None of these
done
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View Answer play_arrow
Direction: Read the following information carefully and answer the questions given below it: The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D.
If A?s income be Rs. 80, 000 per annum and the difference between the incomes of B and D be the same as A's income, B's income is
A)
Rs. 40,000
done
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B)
Rs. 60,000
done
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C)
Rs. 80,000
done
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D)
Rs. 1,20,000
done
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E)
None of these
done
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View Answer play_arrow
Match the columns
Column - Ist
Column - IInd
(A)
A and B are two events such that P(A) = 0.3 and \[P\,(A\bigcup B)=0.8.\] If A and B are independent, then P(B) is
(P)
\[\frac{4}{13}\]
(B)
A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a king or a club?
(Q)
\[\frac{2}{5}\]
(C)
If A and B be two mutually exclusive events in a sample space such that \[P(A)=\frac{2}{5}\] and \[P\,(B)=\frac{1}{2},\] then \[P\,(A\bigcap \overline{B})\] is
(R)
\[\frac{5}{7}\]
(D)
A natural number is chosen at random from amongst the first 300. What is the probability that the number, so chosen is divisible by 3 or 5?
(S)
\[\frac{7}{15}\]
A)
A\[\to \]P, B\[\to \]Q, C\[\to \]R, D\[\to \]S
done
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B)
A\[\to \]Q, B\[\to \]P, C\[\to \]R, D\[\to \]S
done
clear
C)
A\[\to \]R, B\[\to \]P, C\[\to \]S, D\[\to \]Q
done
clear
D)
A\[\to \]R, B\[\to \]P, C\[\to \]Q, D\[\to \]S
done
clear
E)
None of these
done
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View Answer play_arrow
Match the columns Column I Column II (A) If all the dimensions of a cuboid are increased by 100%, by what percent does the volume of cuboid increase? (p) 15.76% (B) If side of a cube is increased by 10%, by how much percent its volume will increase? (q) 21% (C) If radius of a cylinder is increased by 10%, while height remains unchanged, by cylinder will increase? (r) 33.1% (D) When each radius and height of a cone are increased by 5%, by what percent its volume will increase? (s) 700%
A)
A-s, B-r, C-p, D-q
done
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B)
A-s, B-p, C-r, D-q
done
clear
C)
A-s, B-r, C-q, D-p
done
clear
D)
A-p, B-q, C-r, D-s
done
clear
E)
None of these
done
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View Answer play_arrow
A)
11
done
clear
B)
38
done
clear
C)
197
done
clear
D)
1172
done
clear
E)
None of these
done
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View Answer play_arrow
Consider the following equations (i) \[{{\operatorname{cosec}}^{2}}x+{{\sec }^{2}}x={{\operatorname{cosec}}^{2}}x.{{\sec }^{2}}x\] (ii) \[{{\sec }^{2}}x+{{\tan }^{2}}x={{\sec }^{2}}x{{\tan }^{2}}x\] (iii) \[{{\operatorname{cosec}}^{2}}x+{{\tan }^{2}}x={{\cot }^{2}}+{{\sec }^{2}}x\] Which of the following equations are correct?
A)
(i) and (ii)
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B)
(ii) and (iii)
done
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C)
(i) and (iii)
done
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D)
(i), (ii) and (iii)
done
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E)
None of these
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View Answer play_arrow
A)
24, 22, 77, 96
done
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B)
24, 22, 76, 97
done
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C)
24, 21, 77, 97
done
clear
D)
24, 22, 77, 97
done
clear
E)
None of these
done
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View Answer play_arrow
A)
35173
done
clear
B)
34373
done
clear
C)
33376
done
clear
D)
32373
done
clear
E)
None of these
done
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View Answer play_arrow
A)
1
done
clear
B)
2
done
clear
C)
3
done
clear
D)
\[\frac{1}{4}\]
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[16,\,36\,\sqrt{3\,}\,cm\]
done
clear
B)
\[36,12\,\sqrt{3\,}\,cm\]
done
clear
C)
\[25,8\,\sqrt{17\,}\,cm\]
done
clear
D)
\[48,\,12\,\sqrt{13\,}\,cm\]
done
clear
E)
None of these
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View Answer play_arrow
A)
1, 2
done
clear
B)
0, 2
done
clear
C)
0, 1
done
clear
D)
1, 3
done
clear
E)
None of these
done
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View Answer play_arrow
A)
\[a\,\,\sin \,\,\frac{\phi }{2}\,\,\,\operatorname{cosec}\theta \]
done
clear
B)
\[\frac{a}{2}\,\,\sin \phi \,\,\operatorname{cosec}\,\,\frac{\theta }{2}\]
done
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C)
\[\frac{a}{2}\,\,\sin \,\,\frac{\phi }{2}\,\,\operatorname{cosec}\theta \]
done
clear
D)
\[a\,\,\sin \,\,\phi \,\operatorname{cosec}\,\,\frac{\theta }{2}\]
done
clear
E)
None of these
done
clear
View Answer play_arrow