There is a certain relationship between each pair given on either side of : : . Identify the relationship and find the missing term from the options. 49 : 81 : : 121 : ?
A man is facing north. He turns \[45{}^\circ \] in the clockwise direction and then another \[180{}^\circ \] in the same direction and then \[270{}^\circ \] in the anti-clockwise direction. Which direction is he facing now?
In a certain code language, 'They are good girls' is written as \[\$*?\#\], 'Birds are beautiful' is written as '£?@' and 'Beautiful girls walk fast' is written as \['+@\uparrow \#'\], then what is the code for 'Birds' in that code language?
A, B, C, D and E are five friends. E is shorter than A but taller than D. B is the tallest. C is shorter than B and taller than A. Who has two persons taller and two persons shorter than him?
There is a certain relationship between each pair given on either side of : : . Identify the relationship and find the missing term from the options. C : 16 : : F : ?
How many such symbols are there in the below arrangement which are not immediately preceded by a number and also not immediately followed by a letter? \[Y\,W\,1\,\,\And \,C\,N\,3\,P\,L\,B\,9\,\uparrow =D*E\,2\,\text{£}\,M\,V\,\$\,7\,\#\,\,4\,F\,G\,5\]
In an imaginary language, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are substituted by a, b, c, d, e, f, g, h, i and j, & 10 is written as ba. \[bee+fg(ca\times hibe)\]is equal to
If 'air' is called 'green', 'green' is called 'blue', 'blue' is called 'sky', 'sky' is called 'yellow', 'yellow' is called 'water' and 'water' is called 'pink', that what is the colour of clear sky?
Nitin was counting down from 32. Sumit was counting upwards the numbers starting from 1 and he was calling out only the odd numbers. What common number will they call out at the same time if they were calling out at the same speed?
Two consecutive sides of parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation of one diagonal is 11x + 7y = 9, then the equation of other diagonal is
Let \[f(x)\,=\left\{ _{2x+3,\,2\le \,x\,<3}^{{{x}^{2}}-4,0\,\,<\,x\,<\,2} \right.\], the quadratic equation whose roots are \[\underset{x\to {{2}^{-}}}{\mathop{lim}}\,\text{ }f(x)\]and \[\underset{x\to {{2}^{+}}}{\mathop{lim}}\,\text{ }f(x)\] is
If a, b, c are the \[{{p}^{th}},{{q}^{th}}\] and \[{{r}^{th}}\] terms of both an A.P. and also of a G.P.; then \[{{a}^{b-c}}\,.{{b}^{c-a}},{{c}^{a-b}}=\]
The foci of the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{{{b}^{2}}=1}\] and the hyperbola \[\frac{{{x}^{2}}}{144}+\frac{{{y}^{2}}}{81}=\frac{1}{25}\] coincide. Then the value of \[{{b}^{2}}\]is
A student of 5th standard started writing down the counting numbers as 1, 2, 3, 4,... and then he added all those numbers and got the result 500. But when I checked the result I have found that he had missed a number. What is the missing number?
A man sells chocolates which are in the boxes. Only either full box or half a box of chocolates can be purchased from him. A customer comes and buys half the number of boxes which the seller had plus half a box more. A second customer comes and purchases half the remaining number of boxes plus half a box. After this the seller is left with no chocolate boxes. How many chocolate boxes the seller had initially?
Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it?
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed.
In a car agency one day 120 cars were decorated with three different accessories viz., power window, AC and music system. 80 cars were decorated with power windows, 84 cars were decorated with AC and 80 cars were decorated with music systems.
What is the minimum and maximum number of cars which were decorated with all of three accessories?
A bouncing tennis ball rebounds each time to a height equal to one half the height of the previous bounce. If it is dropped from a height of 16 m, find the total distance it has travelled when it hits the ground for the 10th time.
Vibhor joined as an area manager of Quick Corporation in the pay scale of Rs.12,000 - 500 - 18,500. Minimum how many years he has to work in the corporation to avail the salary Rs. 18,500 per month?
An airgun can take a maximum of 4 shots at a balloon at some distance.
The probabilities of hitting the balloon at the first, second, third and fourth shot are 0.1, 0.2, 0.3 and 0.4 respectively. What is the probability that the balloon is hit?
A and S take turn in throwing two dice; the first to throw 9 is being awarded. Find the ratio of probabilities of their winning if A has the first throw.
If P = (1, 0), Q = (- 1, 0) and R = (2, 0) are three given points then the locus .of a point S satisfying the relation \[S{{Q}^{2}}+S{{R}^{2}}=2S{{P}^{2}}\]is