question_answer1) In the given figure, if AB || CD, find the value of x.
A) \[104{}^\circ \] done clear
B) \[105{}^\circ \] done clear
C) \[110{}^\circ \] done clear
D) \[115{}^\circ \] done clear
E) None of these done clear
View Answer play_arrowA) \[\left( -\,2,\,\,\text{3},\,\,1 \right)\] done clear
B) (2, 4, 6) done clear
C) (3, 3, 1) done clear
D) \[\left( 4,\,\,7,-\,5 \right)\] done clear
E) None of these done clear
View Answer play_arrowA) 8 m done clear
B) 4.8 m done clear
C) 2.8 m done clear
D) 1.6 m done clear
E) None of these done clear
View Answer play_arrowDirections: 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. |
A) 70 done clear
B) 60 done clear
C) 50 done clear
D) 30 done clear
E) None of these done clear
View Answer play_arrowDirections: 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. |
A) 41 done clear
B) 35 done clear
C) 30 done clear
D) 28 done clear
E) None of these done clear
View Answer play_arrowDirections: 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. |
A) 45 done clear
B) 60 done clear
C) 70 done clear
D) 85 done clear
E) None of these done clear
View Answer play_arrowA) \[{{x}^{2}}+6x+6\] done clear
B) \[{{x}^{2}}-6x+6\] done clear
C) \[{{x}^{2}}+2x+4\] done clear
D) \[{{x}^{2}}+6x-6\] done clear
E) None of these done clear
View Answer play_arrowA) \[-\,2,\,\,3\,\,and\,\,7\] done clear
B) \[-\,1,\,\,2\,\,and\,\,5\] done clear
C) \[-\,3,\,\,2\,and\,\,7\] done clear
D) \[-\,4,\,\,2\,and\,\,5\] done clear
E) None of these done clear
View Answer play_arrowA) \[a=3,\,\,b=-\,6\] done clear
B) \[a=3,\,\,b=+\,6\] done clear
C) \[a=2,\,\,b=-\,5\] done clear
D) \[a=3,\,\,b=-\,2\] done clear
E) None of these done clear
View Answer play_arrowA) 84 done clear
B) 36 done clear
C) 34 done clear
D) 93 done clear
E) None of these done clear
View Answer play_arrowA) 20 done clear
B) 80 done clear
C) 100 done clear
D) 200 done clear
E) None of these done clear
View Answer play_arrowA) 16 seconds done clear
B) 18 seconds done clear
C) 12 seconds done clear
D) 20 seconds done clear
E) None of these done clear
View Answer play_arrowA) Rs. 5.50, Rs. 1085 done clear
B) Rs. 8.50, Rs. 1185 done clear
C) Rs. 9.50, Rs. 1185 done clear
D) Rs. 9.50, Rs. 1200 done clear
E) None of these done clear
View Answer play_arrowA) \[{{x}^{3}}-3{{x}^{2}}-x+3\] done clear
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 clear
E) None of these done clear
View Answer play_arrowquestion_answer15) Find the value of 'x' in the following figure, if DE || BA.
A) \[\frac{5}{2}\,\,cm\] done clear
B) \[\frac{3}{2}\,\,cm\] done clear
C) \[\frac{5}{3}\,\,cm\] done clear
D) \[\frac{5}{4}\,\,cm\] done clear
E) None of these done clear
View Answer play_arrowA) \[73\,\,m,\,\,43.3\,\,m\] done clear
B) \[43.3\,\,m,\,\,75\,\,m\] done clear
C) \[75\,\,m,\,\,41.3\,\,m\] done clear
D) \[75\,\,m,\,\,43.3\,\,m\] done clear
E) None of these done clear
View Answer play_arrowA) \[3:1\] done clear
B) \[1:1\] done clear
C) \[2:1\] done clear
D) \[2:2~\] done clear
E) None of these done clear
View Answer play_arrowA) 6 cm done clear
B) 8 cm done clear
C) 4 cm done clear
D) 12 cm done clear
E) None of these done clear
View Answer play_arrowA) 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 clear
View Answer play_arrowA) 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 clear
View Answer play_arrowA) 6.2 cm, 5 cm done clear
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 done clear
View Answer play_arrowA) 8 cm done clear
B) 5 cm done clear
C) 3 cm done clear
D) 2 cm done clear
E) None of these done clear
View Answer play_arrowA) \[\frac{10}{3}\] done clear
B) \[\frac{3}{10}\] done clear
C) \[\frac{8}{9}\] done clear
D) \[\frac{9}{8}\] done clear
E) None of these done clear
View Answer play_arrowA) \[P{{Q}^{2}}=QB\times QC\] 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 clear
View Answer play_arrowClass Interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | Total |
Frequency | 17 | \[{{f}_{1}}\] | 32 | \[{{f}_{2}}\] | 19 | 120 |
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 clear
View Answer play_arrowA) \[\frac{23}{12}\] done clear
B) \[-\,6\] done clear
C) \[\frac{3}{2}\] done clear
D) \[\frac{-\,23}{12}\] done clear
E) None of these done clear
View Answer play_arrowA) \[q(x)=-{{x}^{2}}-5x-26,\] \[r(x)=130x+20\] done clear
B) \[q(x)=-{{x}^{2}}-5x-26,\] \[r(x)=135x+24\] done clear
C) \[r(x)=-{{x}^{2}}-5x-25,\] \[q(x)=135x+24\] done clear
D) \[q(x)=-x-2x-26,\] \[r(x)=135x+22\] done clear
E) None of these done clear
View Answer play_arrowA) \[\left( \frac{2}{3},\,\,2 \right),\,\,(1,\,\,3),\,\,\left( -\frac{2}{1},\,\,5 \right)\] 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 clear
View Answer play_arrowA) 49th done clear
B) 43th done clear
C) 47th done clear
D) 48th done clear
E) None of these done clear
View Answer play_arrowA) \[4\,\,\frac{17}{24}\] 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 clear
View Answer play_arrow1. Atomic Age |
2. Metallic Age |
3. Stone Age |
4. Alloy Age |
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 clear
View Answer play_arrowquestion_answer32) Replace the question mark with the correct number. 81 : 63 :: ? : 93
A) 27 done clear
B) 12 done clear
C) 144 done clear
D) 1728 done clear
E) None of these done clear
View Answer play_arrowA) C done clear
B) D done clear
C) E done clear
D) F done clear
E) None of these done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
E) None of these done clear
View Answer play_arrowA) E done clear
B) B done clear
C) C done clear
D) D done clear
E) None of these done clear
View Answer play_arrowA) She is a student. done clear
B) She is a lawyer. done clear
C) She is an engineer. done clear
D) She is a doctor. done clear
E) None of these done clear
View Answer play_arrowA) a b a b a c done clear
B) a c b c a b done clear
C) a b a b c a done clear
D) a c a c a b done clear
E) None of these done clear
View Answer play_arrowDirection: 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. |
A) A done clear
B) B done clear
C) C done clear
D) D done clear
E) None of these done clear
View Answer play_arrowDirection: 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. |
A) A earns more than B. done clear
B) B earns more than D. done clear
C) C earns more than D. done clear
D) B earns more than C. done clear
E) None of these done clear
View Answer play_arrowDirection: 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. |
A) Rs. 40,000 done clear
B) Rs. 60,000 done clear
C) Rs. 80,000 done clear
D) Rs. 1,20,000 done clear
E) None of these done clear
View Answer play_arrowquestion_answer41) 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 clear
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 clear
View Answer play_arrowquestion_answer42) 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 clear
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 clear
View Answer play_arrowquestion_answer43) Find the wrong number in the given series. 2, 11, 38, 197, 1172, 8227, 65806
A) 11 done clear
B) 38 done clear
C) 197 done clear
D) 1172 done clear
E) None of these done clear
View Answer play_arrowquestion_answer44) 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) done clear
B) (ii) and (iii) done clear
C) (i) and (iii) done clear
D) (i), (ii) and (iii) done clear
E) None of these done clear
View Answer play_arrowA) 24, 22, 77, 96 done clear
B) 24, 22, 76, 97 done clear
C) 24, 21, 77, 97 done clear
D) 24, 22, 77, 97 done clear
E) None of these done clear
View Answer play_arrowA) 35173 done clear
B) 34373 done clear
C) 33376 done clear
D) 32373 done clear
E) None of these done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) \[\frac{1}{4}\] done clear
E) None of these done clear
View Answer play_arrowA) \[16,\,36\,\sqrt{3\,}\,cm\] 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 done clear
View Answer play_arrowquestion_answer49) The roots of the equation \[{{3}^{2x}}-{{10.3}^{x}}+9=0\] are
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 clear
View Answer play_arrowA) \[a\,\,\sin \,\,\frac{\phi }{2}\,\,\,\operatorname{cosec}\theta \] done clear
B) \[\frac{a}{2}\,\,\sin \phi \,\,\operatorname{cosec}\,\,\frac{\theta }{2}\] done clear
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
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