P, Q, R, S, T, U, V and W are sitting around a round table in the same order, for group discussion at equal distances. Their positions are anti-clockwise. If R sits in the north, then what will be the position of T?
Answer the given question based on the arrangement given below. \[Y\,W1\And C\,N\,3\,P\,L\,B\,9\uparrow =D*E\,2\,\text{£}\,M\,V\,\$\,7\#4\,F\,G\,5\] \[C\,1\,3\,W:7\,4\,V\,G\] in the same way as \[N\,B=\,\,:?\]
A matrix of certain characters is given. These characters follow a certain trend, row- wise or column-wise. Find out this trend and choose the missing character from the given options.
Study 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?
In a certain code language, They are good girls' is written as \['S*?\,\#'\], 'Birds are beautiful' is written as '£?@' and 'Beautiful girls walk fast' is written as \['+@\uparrow \#'\], then what is the code for 'girls' in that code language ?
In the following series, the number of letters skipped in between the adjacent letters are in ascending order, i.e., 1, 2, 3, 4. Which one of the following letter groups does not obey this rule?
A student was asked to prove a statement P(n) by induction. He proved that P(k+1) is true whenever P(k) is true for all \[k\ge 5,k\in N\] and also P(5) is true. On the basis of this he could conclude that P(n) is true
A real value of x satisfies the equation \[\frac{3-4\,i\,x}{3-4\,i\,x}=\]\[\alpha -i\beta (\alpha ,\beta \in R)\]if \[{{\alpha }^{2}}+{{\beta }^{2}}=\]
If \[{{S}_{1}}=\sum{n},\,{{S}_{2}}=\sum{{{n}^{2}},{{S}_{3}}=}\sum{{{n}^{3}},}\], then the value of \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{S}_{1}}\left( 1+\frac{{{S}_{3}}}{8} \right)}{S_{2}^{2}}\] equal to
If\[f\left( \frac{-a}{a-1} \right)\], then \[({{a}_{1}}{{b}_{2}}-{{b}_{1}}{{a}_{2}})\,({{b}_{1}}{{c}_{2}}-{{b}_{2}}{{c}_{1}})\]\[={{({{c}_{1}}{{a}_{2}}-{{c}_{2}}{{a}_{1}})}^{2}}.\]\[+\,2ab\,\cos \,(\alpha -\beta )\,\] is equal to
If the variable takes values 0, 1, 2, 3, ...... n with frequencies proportional to \[{}^{n}{{C}_{0}},{}^{n}{{C}_{1}},\]\[{}^{n}{{C}_{2}},.....{}^{n}{{C}_{n}}\] respectively, then the variance is
If \[\alpha \ne \beta \]but \[{{\alpha }^{2}}=5\alpha -3\]and\[{{\beta }^{2}}=5\beta -3\], then the equation whose roots are \[\frac{\alpha }{\beta }\]and \[\frac{\beta }{\alpha }\] is
There are 4 qualifying examinations to enter into IIMs; CAT, BAT, SAT and PAT. An IITian cannot go to IIMs through BAT or SAT. A, CA on the other hand, can go to the IIMs through the CAT, BAT and PAT but not through SAT. Further, there are 3 ways to become a CA (viz. Foundation, Inter and Final). Find the ratio of number of ways in which an IITian can make it to IIM to the number of ways a CA can make it to the IIMs?
In a horse race there were 18 horses numbered 1-18. The probability that horse 1 would win is \[\frac{1}{6}\], that 2 would win is \[\frac{1}{10}\] and that 3 would win is \[\frac{1}{8}\]. Assuming that a tie is impossible, find the chance that one of the three will win.
A newspaper agent sells TOI, HT and IN in equal numbers to 302 persons. Seven get HT and IN, twelve get TOI and IN, nine get TOI and HT and three get all the three newspapers. The details are given in the Venn diagram. What percent get TOI or HT but not IN?
Three equal cubes are placed adjacently in a row. Find the ratio of total surface areas of the new cuboid to that of the sum of the surface areas of the three cubes.
A person P is at X and another person Q is at V. The distance between X and Y is 100 km. The speed of P is 20 km/h, while the speed of Q is 60 km/h. If P and Q continue to move between X and Y in the given manner and if they meet for the fourth time at a place M somewhere between X and V, then the distance between X and M is A race track is in the form of a ring whose inner and outer circumference are 352 metres and 396 metres respectively.
A question paper has two parts- Part A and Part B. Part A contains 5 questions and part B has 4. Each question in part A has an alternative. A student has to attempt at least one question from each part. Find the number of ways in which the student can attempt the question paper.
A retailer has n stones by which he can measure (or weigh) all the quantities from 1 kg to 121 kg (in integers only. e.g., 1 kg, 2kg, 3 kg, etc.) keeping these stones on either side of the balance. What is the minimum value of n?
In 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.
In 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
Statement 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.
doneclear
B)
Both Statement 1 and Statement 2 are true but Statement 2 is not correct explanation of Statement 1.