A) Nil done clear
B) One done clear
C) Two done clear
D) Three done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowWhich is the next number in the sequence? |
3, 54, 204, 461, 833, 1328, 1954,? |
A) 2808 done clear
B) 2706 done clear
C) 2758 done clear
D) 2719 done clear
View Answer play_arrowquestion_answer4) Can is 190. Frog is 7234. What is the number for the word fang?
A) 4093 done clear
B) 7804 done clear
C) 7904 done clear
D) 7103 done clear
View Answer play_arrowquestion_answer5) What is the missing letter?
E | C | O |
B | A | B |
G | B | N |
D | B | ? |
A) F done clear
B) L done clear
C) M done clear
D) None of these done clear
View Answer play_arrowA) Animal done clear
B) Fruit done clear
C) Place done clear
D) Thing done clear
View Answer play_arrowA) 9 done clear
B) 4 done clear
C) 5 done clear
D) 1 done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowTwo statements numbered I and II are given below. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide the truth or falsity of the statements. |
Statement-I : Cups play cards. Playing cards is a difficult game. Therefore, cups play a difficult game. |
Statement-II : Radha is a girl. All girls are timid. Therefore, Radha is timid. |
A) Both Statements I and II are true done clear
B) Both Statements I and II are false done clear
C) Statement-I is true and Statement-II is false done clear
D) Statement-I is false and Statement-II is true done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowThe six faces of a dice have been marked with alphabets E, F, G, H, I and J respectively. |
The dice is rolled down three times. The three positions are shown as in the adjoining figures (i), (ii) and (iii). |
A) F done clear
B) G done clear
C) H done clear
D) I done clear
View Answer play_arrowquestion_answer13) Which is the odd one out?
A) done clear
B) done clear
C) done clear
D) None of these done clear
View Answer play_arrowA) Brother done clear
B) Son done clear
C) Uncle done clear
D) Father done clear
View Answer play_arrowquestion_answer15) Find the figure continuing the series given in Problem Figure.
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer16) If A and B are invertible matrices, then which of the following is not true?
A) \[adj\,(A)\,=\,\left| A \right|{{A}^{-1}}\] done clear
B) \[\det \,({{A}^{-1}})\,=\,{{[\det A]}^{-1}}\] done clear
C) \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\] done clear
D) \[{{(A+B)}^{-1}}={{B}^{-1}}+{{A}^{-1}}\] done clear
View Answer play_arrowA) \[\frac{4}{1+{{x}^{2}}}\] done clear
B) \[0\] done clear
C) \[\frac{2}{1+{{x}^{2}}}\] done clear
D) None of these done clear
View Answer play_arrowA) (0, 0) done clear
B) (1, 1) done clear
C) (2, 2) done clear
D) None of these done clear
View Answer play_arrowquestion_answer19) Which of the following functions from Z into Z are bijections?
A) \[f(x)={{x}^{3}}\] done clear
B) \[f(x)=x+2\] done clear
C) \[f(x)=2x+1\] done clear
D) \[f(x)={{x}^{2}}+1\] done clear
View Answer play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) infinite done clear
View Answer play_arrowquestion_answer21) The fundamental period of the function \[f(x)=2\cos \frac{1}{3}(x-\pi )\]is
A) \[6\pi \] done clear
B) \[4\pi \] done clear
C) \[2\pi \] done clear
D) \[\pi \] done clear
View Answer play_arrowA) p + 1 done clear
B) p done clear
C) p - 1 done clear
D) p + 2 done clear
View Answer play_arrowquestion_answer23) Solution of \[\frac{dy}{dx}+x(x+y)+1={{x}^{3}}{{(x+y)}^{3}}\]is
A) \[\frac{1}{x+y}={{x}^{2}}+c{{e}^{x}}+1\] done clear
B) \[\frac{1}{{{(x+y)}^{2}}}={{x}^{2}}+c{{e}^{{{x}^{2}}}}+1\] done clear
C) \[\frac{1}{{{(x+y)}^{2}}}=x+c{{e}^{x}}+1\] done clear
D) \[\frac{1}{x+y}=x+c{{e}^{{{x}^{2}}}}+1\] done clear
View Answer play_arrowA) \[\frac{1}{2}\] done clear
B) \[1\] done clear
C) \[2\] done clear
D) None of these done clear
View Answer play_arrowA) \[\frac{3}{17}\] done clear
B) \[\frac{4}{17}\] done clear
C) \[\frac{5}{17}\] done clear
D) \[\frac{6}{17}\] done clear
View Answer play_arrowquestion_answer26) The function xx decreases on the interval
A) \[(0,e)\] done clear
B) \[(1,e)\] done clear
C) \[(0,1)\] done clear
D) \[\left( 0,\frac{1}{e} \right)\] done clear
View Answer play_arrowA) \[\frac{x}{{{x}^{2}}+1}+C\] done clear
B) \[\frac{\log \,x}{{{(log\,x)}^{2}}+1}+C\] done clear
C) \[\frac{\,x}{{{(log\,x)}^{2}}+1}+C\] done clear
D) \[\frac{\,x{{e}^{x}}}{1+{{x}^{2}}}+C\] done clear
View Answer play_arrowA) \[(-\,\infty ,\infty )\] done clear
B) \[\left[ -4,\frac{3-\sqrt{21}}{2} \right]\cup (1,\infty )\] done clear
C) \[\left( -\,3,5-\frac{\sqrt{27}}{2} \right)\cup (2,\infty )\] done clear
D) \[[1,\infty )\] done clear
View Answer play_arrowquestion_answer29) Solution of differential equation dy - sin x sin y dx = 0, is
A) \[Cos\text{ }x\text{ }tan\text{ }y=c\] done clear
B) \[cos\text{ }x\text{ }sin\text{ }y=c\] done clear
C) \[{{e}^{\cos \,x}}\,\tan \,\frac{y}{2}=c\] done clear
D) \[{{e}^{\cos \,x}}\,\tan \,y=c\] done clear
View Answer play_arrowA) ap+bq+cr done clear
B) (a+b+c) (p+q+r) done clear
C) 0 done clear
D) 1 done clear
View Answer play_arrowA) \[\frac{[\vec{a}\vec{b}\vec{c}]}{|\vec{a}\times \vec{b}+\vec{b}\times \vec{c}+\vec{c}\times \vec{a}|}\] done clear
B) \[\frac{[\vec{a}\vec{b}\vec{c}]}{|\vec{a}\times \vec{b}+\vec{b}\times \vec{c}|}\] done clear
C) \[\frac{[\vec{a}\,\vec{b}\,\vec{c}]}{|\vec{b}\times \vec{c}+\vec{c}\times \vec{a}|}\] done clear
D) \[\frac{[\vec{a}\,\vec{b}\,\vec{c}]}{|\vec{c}\times \vec{a}+\vec{a}\times \vec{b}|}\] done clear
View Answer play_arrowA) \[\vec{r}.(-\,5\hat{i}-3\hat{j}+11\hat{k})+\frac{135}{2}=0\] done clear
B) \[\vec{r}.(\frac{3}{2}\hat{i}+\frac{7}{2}\hat{j}-\frac{9}{2}\hat{k})+\frac{135}{2}=0\] done clear
C) \[\vec{r}.(4\hat{i}+5\hat{j}-10\hat{k})+4=0\] done clear
D) \[\vec{r}.(-\hat{i}+2\hat{j}+\hat{k})+4=0\] done clear
View Answer play_arrowA) \[-f(x)\,\] done clear
B) \[3f(x)\,\] done clear
C) \[{{[f(x)]}^{3}}\] done clear
D) \[{{[f(x)]}^{2}}\] done clear
View Answer play_arrowA) \[\sqrt{1+{{\cos }^{2}}\theta }\] done clear
B) \[\sqrt{1+{{\sin }^{2}}\theta }\] done clear
C) \[|cos\theta |\] done clear
D) \[|sin\theta |\] done clear
View Answer play_arrowA) \[\frac{1}{2}\] done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{1}{4}\] done clear
D) \[1\] done clear
View Answer play_arrowA) 4 mins done clear
B) 4 mins 6 sees done clear
C) 4 mins 10 sees done clear
D) 4 mins 50 sees done clear
View Answer play_arrowA) 25 done clear
B) 30 done clear
C) 35 done clear
D) 37 done clear
View Answer play_arrowA) Rs.30 done clear
B) Rs.32 done clear
C) Rs.36 done clear
D) Rs.37 done clear
View Answer play_arrowA) \[{}^{15}{{C}_{3}}\] done clear
B) \[{}^{15}{{C}_{13}}\,\] done clear
C) \[{}^{3}{{C}_{1}}\,\] done clear
D) \[{}^{15}{{C}_{1}}\,\] done clear
View Answer play_arrowA) Rs. 40 done clear
B) Rs. 42 done clear
C) Rs. 43 done clear
D) Rs. 45 done clear
View Answer play_arrowA) The number of possible outcomes on Maria's spinner is equal to the number of possible outcomes on Divya's spinner done clear
B) The probability of landing on an odd number using Maria's spinner is greater than the probability of landing on an odd number using Divya's spinner done clear
C) The probability of landing on an odd number using Maria's spinner is less than the probability of landing on an odd number using Divya's spinner done clear
D) The number of possible outcomes on Divya's spinner is six. done clear
View Answer play_arrowquestion_answer42) If 3 dice are thrown, in how many ways can we obtain a sum of 15?
A) 15 done clear
B) 17 done clear
C) 10 done clear
D) 18 done clear
View Answer play_arrowA) \[20%\] done clear
B) \[29\frac{3}{13}%\] done clear
C) \[30%\] done clear
D) \[38\frac{1}{13}%\] done clear
View Answer play_arrowRead the following passage and answer the question based on it. |
The Bangalore office of Infosys has 1200 executives. Of these, 880 subscribe to the |
Time magazine and 650 subscribe to the Economist each executive may subscribe to either the Time or the Economist or both. If an executive is picked at random, then what is the probability that he has subscribed to the Time magazine. |
A) \[\frac{11}{5}\] done clear
B) \[\frac{11}{12}\] done clear
C) \[\frac{7}{15}\] done clear
D) \[\frac{7}{11}\] done clear
View Answer play_arrowA) 17% done clear
B) 20% done clear
C) 27% done clear
D) 32% done clear
View Answer play_arrowA) \[{{\left( \frac{1}{2} \right)}^{x(x-1)}}\] done clear
B) \[\frac{1}{2}(1+\sqrt{1+4{{\log }_{2}}x})\] done clear
C) \[\frac{1}{2}(1-\sqrt{1+4{{\log }_{2}}x})\] done clear
D) Not defined done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) - 2 done clear
D) None of these done clear
View Answer play_arrowquestion_answer48) \[\int{\frac{In\left( \frac{x-1}{x+1} \right)\,}{{{x}^{2}}-1}}\]dx is equal to
A) \[\frac{1}{2}In{{\left( \frac{x-1}{x+1} \right)}^{2}}+C\] done clear
B) \[\frac{1}{2}In{{\left( \frac{x+1}{x-1} \right)}^{2}}+C\] done clear
C) \[\frac{1}{4}\left[ In{{\left( \frac{x-1}{x+1} \right)}^{2}} \right]+C\] done clear
D) \[\frac{1}{4}\left[ In\left( \frac{x+1}{x-1} \right) \right]+C\] done clear
View Answer play_arrowA) 0.3 done clear
B) 0.5 done clear
C) 0.8 done clear
D) 0.9 done clear
View Answer play_arrowA) \[\left( \frac{1}{2},2 \right)\] done clear
B) \[\left( \frac{4}{3},2 \right)\] done clear
C) \[(0,2)\] done clear
D) \[\left( 0,\frac{4}{3} \right)\] done clear
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