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.
In a certain code language, (1) 'RILL PA' stands for 'My Dog'; (2) 'PA SEM TA' stands for 'Dog in Black'; (3) 'RILL HAK KOP' stands for 'My Dear Friend' and (4) 'TA KOP' stands for 'Black Friend'. Which of the following words signifies 'Dear' in the above code language?
The two terms in the given number series are missing. Find the correct alternative to complete the series. 13576, 17365, 75361, 63517,......, .........
There are three poles X, Y and Z of different heights. Three spiders A, B and C start climbing up these poles at the same time. In each attempt, spider A climbs up the X pole 5 cms but slips back 1 cm, spider S climbs up the Y pole 6 cms but slips back 3 cms and spider C climbs up the Z pole 7 cms but slips back 2 cms. If each of the spiders make 50 attempts for reaching a top of the pole, then what is the height of the shortest pole?
In a row of girls Alka and Kamini occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, Alka and Kamini occupy seventeenth place from the right and eighteenth place from the left, respectively. How many girls are there in the row?
A, B, C, D, E, F and G are members of a family consisting of four adults and three children, two of them, F and G are girls. A and D are brothers and A is a doctor.
E is an engineer married to one of the brothers and has two children. S is married to D and G is their child. Who is C?
In the given figure, circle stands for students, the square stands for laborious, triangle stands for intelligent and rectangle stands for lucky. Which of the following indicates those students who are laborious and lucky but not intelligent?
On reaching in the conference hall 10 minutes before 11 : 40 A.M. for attending a meeting, the Director of a company knew that he had reached 20 minutes before the Joint Director who came 30 minutes late. What was the fixed time of the meeting?
If Neha says, "Aarti's father Dhirendra is the only son of my father-in-law Vijendra", then how is Monika, who is sister of Aarti, related to Vijendra ?
One morning after sunrise, Shyam and Mohan were talking to each other face to face. If Mohan's shadow was exactly to the right of Shyam, which direction Mohan was facing?
In a college examination, a candidate is required to answer 6 out of 10 questions which are divided into two sections each containing 5 questions further the candidate is not permitted to attempt more than 4 questions from either of the section. The number of ways in which he can make up a choice of 6 questions is
The vectors \[\vec{a},\text{ }\vec{b}\]and \[\vec{c}\] are equal in length and taken pain wise, they make equal angles. \[\vec{a}=\hat{i}+\hat{j},\vec{b}=\hat{j}+\hat{k}\]and\[\vec{c}\]makes an obtuse angle with x-axis, then \[\vec{c}\] =
A relation R on the set of complex numbers is defined by \[{{z}_{1}}R{{z}_{2}}\Leftrightarrow \frac{{{z}_{1}}-{{z}_{2}}}{{{z}_{1}}+{{z}_{2}}}\] real, then R is__.
For k= 1, 2, 3 the box \[{{B}_{k}}\]contains k red balls and\[(k+1)\] white balls. Let \[P({{B}_{1}})=\,\frac{1}{2},P({{B}_{2}})=\frac{1}{3}\] and \[P({{B}_{3}})=\,\frac{1}{6}.A\] box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box \[{{B}_{2}}\] is
Let \[\{{{D}_{1}},{{D}_{2}},{{D}_{3}},......,{{D}_{n}}\}\]be the set of third order determinants that can be made with the distinct non-zero real numbers \[{{a}_{1}},{{a}_{2}},.....,{{a}_{9}}\], then
Tanya gives away to each of four girls \[\frac{1}{12},\frac{5}{18},\]\[\frac{7}{30},\frac{7}{48}\]of the apples in a basket and has only just enough apples to be able to do so without dividing an apple. Find the minimum number of apples she had.
The length of a ladder is exactly equal to the height of the wall it is leaning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
The odds against a husband who is 50 years old, living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5 : 3. Find the probability that the couple will be alive 20 years hence.
S and is pouring from a pipe at the rate of \[12\,c{{m}^{3}}\]/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father and his son stand on the same straight line. The father observes that the shadows of his head and his son's head are incident at the same point on the ground. If the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively and the father is standing 2.1 metres away from the post, then how far (in metres) is the son standing from his father?
A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claims that their research is so accurate that the gender of a new born child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child born will be a girl?
The average weight of the 5 officers of a regiment is 42 kg. If a senior officer was replaced by a new officer and thus the average increased by 500 gm, the weight of the new officer is ___.
The population of a certain species in the wild varies according to a sine curve over a period of 10 years. Using the diagram, determine at what time the population will be at a minimum in the 10 years period?
If\[si{{n}^{-1}}x+si{{n}^{-1}}\text{ }y=\frac{2\pi }{3}\text{ },\text{ }co{{s}^{-1}}\text{ }x\text{ }-\text{ }co{{s}^{-1}}\text{ }y=\frac{\pi }{3}\], then the number of values of (x, y) is_____.
The vector \[\vec{c}\]directed along the internal bisector of the angle between the vectors \[\vec{a}=7\hat{i}-4\hat{j}-4\hat{k}\]and \[\vec{b}=-2\hat{i}-2\hat{j}+2\hat{k}\]with \[|\vec{c}|=5\sqrt{6}\]is