Study the given information carefully and answer the question that follow. |
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing north. |
(ii) C is on the immediate right of D. |
(iii) S is at an extreme end and has E as his neighbor. |
(iv) G is between E and F. |
(v) D is sitting second from the west end. |
Which of the following pairs of people are sitting at the extreme ends? |
A) AB done clear
B) AE done clear
C) CB done clear
D) FB done clear
View Answer play_arrowA) East done clear
B) South-East done clear
C) South done clear
D) West done clear
View Answer play_arrowA) \[\$\,4\,2\,D\] done clear
B) \[V\,F\,2\,D\] done clear
C) \[\$\,F\,3\,\,*\] done clear
D) \[\$\,F\,2\,D\] done clear
View Answer play_arrowA) (10, 6, 5) done clear
B) (24, 5, 3) done clear
C) (95, 25, 5) done clear
D) (168, 15, 4) done clear
View Answer play_arrowA) 3 done clear
B) 4 done clear
C) 5 done clear
D) 6 done clear
View Answer play_arrowStudy the following information to answer the given question: |
A word arrangement machine when given an input line of words, rearranges them following a particular rule in each step. The following is an illustration of the input and the steps of rearrangement. |
Input : but going for crept te light sir |
Step I : crept but going for te light sir |
Step II : crept going light but for te sir |
Step III : crept going light but for sir te |
Step III is the last step for this input. |
As per the rules followed in the above steps, find out in the given question the appropriate step for given input. |
Input : more fight cats cough sough acts idea |
Which of the following steps would be the last step for this input? |
A) III done clear
B) IV done clear
C) V done clear
D) VI done clear
View Answer play_arrowArrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence. |
1. Pestle |
2. Pestilence |
3. Pester |
4. Pest |
5. Pessimist |
A) 5, 4, 3, 2, 1 done clear
B) 4, 3, 1, 5, 2 done clear
C) 3, 4, 2, 5, 1 done clear
D) 4, 5, 1, 2, 3 done clear
View Answer play_arrowA) \[+\] done clear
B) \[\#\] done clear
C) £ done clear
D) \[?\] done clear
View Answer play_arrowA) 2 done clear
B) 3 done clear
C) 4 done clear
D) 5 done clear
View Answer play_arrowquestion_answer10) Find the minimum number of straight lines required to make the given figure.
A) 14 done clear
B) 15 done clear
C) 13 done clear
D) None of these done clear
View Answer play_arrowRead the following information and answer the question given below it : |
\['A+B'\]means 'A is the daughter of B'; |
\['A\times s'\]means 'A is the son of S'; |
\['A-B'\] means 'A is the wife of S'; |
If \[Z\times r-S\times U+P,\] what is U to Z? |
A) Mother done clear
B) Grandmother done clear
C) Father done clear
D) None of these done clear
View Answer play_arrowA) CEHLQ done clear
B) DFIMR done clear
C) GILPU done clear
D) HJMPT done clear
View Answer play_arrowquestion_answer13) Select a figure from amongst the options, which placed in the blank space of
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) 3 done clear
B) 5 done clear
C) 6 done clear
D) Cannot be determined done clear
View Answer play_arrowA) \[1-3>2+1-5=3-1<2\] done clear
B) \[1-3>2+1\times 5=3\times 1>2\] done clear
C) \[1\times 3>2+1\times 5\times 3-1>2\] done clear
D) \[1-3>2+1\times 5+3-1>2\] done clear
View Answer play_arrowA) \[\frac{\pi }{3}\] done clear
B) \[\frac{4\pi }{3}\] done clear
C) Both [A] and [B] done clear
D) None of these done clear
View Answer play_arrowquestion_answer17) Solve \[\frac{4x}{3}-\frac{9}{4}<x+\frac{3}{4},\frac{7x-1}{3}-\frac{7x+2}{6}>x\].
A) \[(-\,\infty ,4)\cup (9,\infty )\] done clear
B) \[(4,9)\] done clear
C) \[(-\,\infty ,\,\infty )\] done clear
D) \[(-\,\infty ,\,5)\] done clear
View Answer play_arrowA) \[(-\,\infty ,-1)\cup (1,4]\] done clear
B) \[(-\,\infty ,-1]\cup (1,4]\] done clear
C) \[(-\,\infty ,-1)\cup [1,4]\] done clear
D) \[(-\,\infty ,-1)\cup [1,4)\] done clear
View Answer play_arrowA) \[for\text{ }all\text{ }n\in N\] done clear
B) \[for\text{ }all\text{ }n<5\] done clear
C) \[for\text{ }all\text{ }n>5\] done clear
D) \[for\text{ }all\text{ }n>5\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) - 1 done clear
D) None of these done clear
View Answer play_arrowA) 1, 2 done clear
B) - 1, 2 done clear
C) - 1, - 2 done clear
D) 1, - 2 done clear
View Answer play_arrowA) \[2\] done clear
B) \[{{2}^{10}}\] done clear
C) \[{{2}^{9}}\] done clear
D) \[10\] done clear
View Answer play_arrowquestion_answer23) If\[f(x)=2{{x}^{6}}+3{{x}^{4}}+4{{x}^{2}}\], then f'(x) is
A) An even function done clear
B) An odd function done clear
C) Neither even nor odd done clear
D) None of these done clear
View Answer play_arrowA) \[5\times 2+9{{y}^{2}}=4~~\] done clear
B) \[2{{x}^{2}}-6{{y}^{2}}=28~\] done clear
C) \[6{{x}^{2}}+3{{y}^{2}}=45\] done clear
D) \[9{{x}^{2}}+5{{y}^{2}}=180\] done clear
View Answer play_arrowA) a - b = 1 done clear
B) a - b = -1 done clear
C) a - b = 2 done clear
D) Both [A] and [B] done clear
View Answer play_arrowquestion_answer26) The range of the function \[f(x)=\sqrt{(x-1)(3-x)}\]is
A) [0, 1] done clear
B) (- 1, 1) done clear
C) (- 3, 3) done clear
D) (- 3, 1) done clear
View Answer play_arrowquestion_answer27) If\[{{x}^{2/3}}-7\times 7{{x}^{1/3}}+10=0\], then the value of x is
A) \[\left\{ 125 \right\}\] done clear
B) \[\left\{ 8 \right\}\] done clear
C) \[\phi \] done clear
D) \[\left\{ 125,\text{ }8 \right\}\] done clear
View Answer play_arrowA) \[\frac{3}{32}\] done clear
B) \[\frac{3}{64}\] done clear
C) \[\frac{9}{32}\] done clear
D) \[\frac{9}{64}\] done clear
View Answer play_arrowStatement 1 : If the nth term of a series is\[{{\text{n}}^{2}}+n+1\], then the first order differences must be in A.P. |
Statement 2 : If the nth term of a series is a polynomial of degree r, then rth order differences of the series are constant. |
A) Both Statement 1 and Statement 2 are true and Statement 2 is correct explanation of Statement 1. done clear
B) Both Statement 1 and Statement 2 are true but Statement 2 is not correct explanation of Statement 1. done clear
C) Statement 1 is true, Statement 2 is false. done clear
D) Statement 1 is false, Statement 2 is true. done clear
View Answer play_arrowA) \[tan\text{ }16\alpha \] done clear
B) \[0\] done clear
C) \[cot\text{ }\alpha \] done clear
D) None of these done clear
View Answer play_arrowquestion_answer31) If \[f(x)=\frac{x}{x-1}\], then \[\frac{f(a)}{f(a+1)}\]is equal to
A) \[f({{a}^{2}})\] done clear
B) \[f\left( \frac{1}{a} \right)\] done clear
C) \[f(-a)\] done clear
D) \[f\left( \frac{-a}{a-1} \right)\] done clear
View Answer play_arrowA) \[{{a}^{2}}+{{b}^{2}}\] done clear
B) \[{{a}^{2}}-{{b}^{2}}\] done clear
C) \[{{b}^{2}}-{{a}^{2}}\] done clear
D) \[-\,{{a}^{2}}-{{b}^{2}}\] done clear
View Answer play_arrowA) \[\frac{n}{4}\] done clear
B) \[\frac{n}{3}\] done clear
C) \[\frac{2n}{5}\] done clear
D) None of these done clear
View Answer play_arrowA) \[f(4\sqrt{2})\] done clear
B) \[f(3\sqrt{2})\] done clear
C) \[f(2\sqrt{2})\] done clear
D) \[f(\sqrt{2})\] done clear
View Answer play_arrowA) \[3{{x}^{2}}-19x+3=0\] done clear
B) \[{{x}^{2}}-5x+3=0\] done clear
C) \[3{{x}^{2}}-25x+3=0\] done clear
D) \[{{x}^{2}}+5x-3=0\] done clear
View Answer play_arrowA) 3 : 2 done clear
B) 2 : 3 done clear
C) 2 : 9 done clear
D) 9 : 2 done clear
View Answer play_arrowA) \[\frac{119}{120}\] done clear
B) \[\frac{1}{5}\] done clear
C) \[\frac{11}{129}\] done clear
D) None of these done clear
View Answer play_arrowA) More than 65% done clear
B) Less than 60% done clear
C) = 60% done clear
D) None of these done clear
View Answer play_arrowA) 7 : 9 done clear
B) 49 : 81 done clear
C) 9 : 7 done clear
D) 27 : 23 done clear
View Answer play_arrowA race track is in the form of a ring whose inner and outer circumference are 352 metres and 396 metres respectively. Find the width of the track. |
A) 7 metres done clear
B) 14 metres done clear
C) 14 metres done clear
D) 7 metres done clear
View Answer play_arrowThe income of HBI on the nth day \[Rs\,({{n}^{2}}+2)\] and the expenditure of HBI on the nth day is\[Rs\,(2n+1)\]. |
Also Income = Expenditure + Savings |
In how many days his total savings will be Rs.1240? |
A) 10 done clear
B) 12 done clear
C) 15 done clear
D) 16 done clear
View Answer play_arrowA) 10km done clear
B) 90km done clear
C) 75km done clear
D) None of these done clear
View Answer play_arrowA) 3360 done clear
B) 1258 done clear
C) 3850 done clear
D) 3630 done clear
View Answer play_arrowA) 3 done clear
B) 4 done clear
C) 5 done clear
D) 11 done clear
View Answer play_arrowIn a marriage party total 278 guests were present. 20 guests took Pepsi and Dew, 23 guests took Dew and Sprite and 21 guests took Pepsi and Sprite and 9 guests took all the three cold drinks viz. Pepsi, Sprite and Dew. It is also known that there were equal number of bottles of each of three kinds viz. Pepsi, Dew and Sprite. |
How many guests took only one bottle cold drink? |
A) 132 done clear
B) 232 done clear
C) 230 done clear
D) 130 done clear
View Answer play_arrowStatement-1: The modulus of the complex number \[z=\frac{1-i}{3+i}+4i\]is\[\sqrt{13}\]. |
Statement-2: Argument of z is\[ta{{n}^{-1}}\left( \frac{3}{4} \right)\]. |
A) Both Statement-1 and Statement-2 are true and Statement-2 is correct explanation of Statement-1. done clear
B) Both Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of Statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowIn the random experiment of tossing two unbiased dice. Let E be the event of getting the sum 8 and F be the event of getting even numbers on both the dice. Then |
I. \[p(E)=\frac{7}{36}\] |
II. \[p(F)=\frac{1}{3}\] |
Which of the following is a correct statement? |
A) Both I and II are true done clear
B) Both I and II are false done clear
C) I is true, II is false done clear
D) I is false, II is true done clear
View Answer play_arrowA) \[\frac{{{c}^{2}}}{{{a}^{2}}+{{b}^{2}}}\] done clear
B) \[\frac{{{c}^{2}}}{2\,({{a}^{2}}+{{b}^{2}})}\] done clear
C) \[\frac{{{c}^{2}}}{\sqrt{2}\,({{a}^{2}}+{{b}^{2}})}\] done clear
D) \[\frac{{{c}^{2}}}{\sqrt{3}\,({{a}^{2}}+{{b}^{2}})}\] done clear
View Answer play_arrowA) \[\frac{{{e}^{x}}\,\sin \,y+{{e}^{y}}\sin x}{{{e}^{y}}\cos \,x-{{e}^{x}}\cos \,y}\] done clear
B) \[\frac{{{e}^{x}}\,\sin \,y+{{e}^{y}}\sin \,y}{{{e}^{y}}\cos \,x-{{e}^{x}}\cos \,y}\] done clear
C) \[\frac{{{e}^{x}}\,\sin \,y-{{e}^{y}}\sin \,x}{{{e}^{y}}\cos \,x-{{e}^{x}}\cos \,y}\] done clear
D) None of these. done clear
View Answer play_arrowStatement 1 : The equations \[2{{x}^{2}}+kx-5=0\] and \[{{x}^{2}}-3x-4=0\]have one root in common i.e., \[k=-3\,or\,k=-\frac{27}{4}.\] |
Statement 2 : 1 The required condition for one root to be common of two quadratic equations\[{{a}_{1}}{{x}^{2}}+{{b}_{1}}x+{{c}_{1}}=0\] and \[{{a}_{2}}{{x}^{2}}+{{b}_{2}}x+{{c}_{2}}=0\]is \[({{a}_{1}}{{b}_{2}}-{{b}_{1}}{{a}_{2}})\,({{b}_{1}}{{c}_{2}}-{{b}_{2}}{{c}_{1}})={{({{c}_{1}}{{a}_{2}}-{{c}_{2}}{{a}_{1}})}^{2}}.\] |
A) Both Statement 1 and Statement 2 are true and Statement 2 is correct explanation of Statement 1. done clear
B) Both Statement 1 and Statement 2 are true but Statement 2 is not correct explanation of Statement 1. done clear
C) Statement 1 is true, Statement 2 is false. done clear
D) Statement 1 is false, Statement 2 is true. done clear
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