Five friends A, B, C, D and E are standing in a row facing South but not necessarily m the same order. Only B is between A and E, C is immediate right to E and D is immediate left to A. On the basis of above information, which of the following statements is definitely true?
In a row of girls facing North' Reena is 10th to the left of pallavi, who is 21- from the right end. If Megha, who is 17th from the left end, is fourth to the right of Reena how many girls are there in the row?
The given equation becomes correct due to the interchange of two signs. One of the options under it specifies the interchange of signs in the equation which when made will make the equation correct. Find the correct option. \[5+6\div 3-12\times 2=17\]
Find out how many such pairs of letters are there in the given word each of which has as many letters between them in the word as in the English alphabet. ENTHUSIASTIC
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.
How many meaningful words can be formed using the first, the third, the sixth and the seventh letters of the word DREAMLAND using each letter only once in each word?
A pair of numbers have a certain relationship to each other. Select the pair from the options in which the numbers are similarly related as in the given pair. 6 : 180
If in a certain language, 'nero qaro' means 'cloth fine'; 'eta hisa' means 'water clear' and 'soha hisa neru' means 'clear fine weather', which word in that language means 'clear'?
The sheet of paper shown in the Fig. (X), is folded to form a box. Choose from amongst the options, the boxes that are similar to the box that will be formed.
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
If the last term in the binomial expansion of \[{{\left( {{2}^{1/3}}-\frac{1}{\sqrt{2}} \right)}^{n}}\]is \[{{\left( \frac{1}{{{3}^{5/3}}} \right)}^{{{\log }_{3}}8}}\]then the 5th term from the beginning is
If \[\alpha ,\beta ,\gamma \] are the roots of \[{{x}^{3}}-3{{x}^{2}}+3x+7=0\] (\[\omega \] is the cube root of unity), then\[\frac{\alpha -1}{\beta -1}+\frac{\beta -1}{\gamma -1}\]\[+\frac{\gamma -1}{\alpha -1}\] is
Let \[\alpha \] and \[\beta \] be the roots of the equation\[{{x}^{2}}+x+1=0\,\], then the equation whose root are \[{{\alpha }^{19}},{{\beta }^{7}}\] is
If\[{{z}^{2}}+z+1=0\], where z is a complex number, then the value of \[{{\left( z+\frac{1}{2} \right)}^{2}}+{{\left( {{z}^{2}}+\frac{1}{{{z}^{2}}} \right)}^{2}}\]\[+{{\left( {{z}^{3}}+\frac{1}{{{z}^{3}}} \right)}^{2}}+...+{{\left( {{z}^{6}}\frac{1}{{{z}^{6}}} \right)}^{{}}}\]is
A book contains 1000 pages numbered consecutively. A page is selected at random, find the probability that the sum of the digits of the number of a page is 9, is
If z and \[\omega \] are two non-zero complex numbers such that\[\left| z\,\omega \right|=1\]and\[arg\,\text{(z)}-arg\,(\omega )=\frac{\ne }{2}\],then \[\overline{z}\,\omega \] is equal to
If \[\frac{1}{\sqrt{b}+\sqrt{c}},\frac{1}{\sqrt{c}+\sqrt{a}},\frac{1}{\sqrt{a}+\sqrt{b}}\] are in A.P., then \[{{\pi }^{ax+1}},{{\pi }^{bx+1}},{{\pi }^{cx+1}},x\ne 0\]are in
A spherical cannon ball, 28 cm in diameter, is melted and cast into a right circular conical mound, the base of which is 35 cm in diameter. Find the height of the cone correct upto two places of decimal.
Amit throws three dice in a special game of Ludo. If it is known that he needs 15 or higher in this throw to win, then find the chance of his winning the game.
In an examination 43% passed in Maths, 48% passed in Physics and 52% passed in Chemistry. Only 8% students passed in all the three. 14% passed in Maths and Physics and 21% passed in Maths and Chemistry and 20% passed in Physics and Chemistry. Number of students who took the exam is 200. A student is declared pass in the exam only if he/she clears any two subjects. The number of students who were declared passed in this exam is _____.
A ball is dropped from a height of 96 feet and it rebounds \[\frac{2}{3}\] of the height it falls. If it continues to fall and rebound, find the total distance that the ball can travel before coming to rest.
A bacteria gives birth to two new bacteria?s in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. Initially there is one newly born bacteria at time t = 0, then find the total number of live bacterias just after 10 seconds.
Mr. John has x children by his first wife and Ms. Bashu has x + 1 children by her first husband. They marry and have children of their own. The whole family has 10 children. Assuming that two children of the same parents do not fight, find the maximum number of fights that can take place among children.
The probability that an MBA aspirant will join IIM is \[\frac{2}{5}\] and that he will join XLRI is \[\frac{1}{3}\] Find the probability that he will join IIM or XLRI.
If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is _____.
A light house, facing north, sends out a fan shaped beam of light extending from north-east to north-west. An observer on a steamer, sailing due west at a uniform speed, first sees the light when he is 5 km away from the light house and continues to see it for \[30\sqrt{2}\] minutes. Speed of the steamer is _____.
The coefficient of \[f(x)=\left\{ \begin{align} & x+4,forx<-4 \\ & 3x+2,for-4\,\le x<4 \\ & x-4,forx\ge 4 \\ \end{align} \right.\] in the expansion of is
If \[f:R\to R\]is defined by \[f(x)=\left\{ \begin{align} & x+4,forx<-4 \\ & 3x+2,for-4\,\le x<4 \\ & x-4,forx\ge 4 \\ \end{align} \right.\] then the correct matching of List I from List II is