250 students appeared in MOCK CAT consisting of three sections viz. Maths, Data Interpretation (Dl) and English. 20 students did not qualify any of the three sections, 66 students qualified all the three sections and 24 students did not qualify Dl only. 12 qualified neither Dl nor Maths but English only. Those who qualified Maths only exceeded those who did not qualify any of the section by 16. Those who did not qualify Maths only exceeded those who did not qualify only Dl and Maths by 8. Those who did not qualify English only were twice the number of students who did not qualify Maths only. Find the number of students who had qualified at least two sections.
Gatewetl city has m parallel roads running East-West and n parallel roads running North-South. How many shortest possible routes are possible to go from one corner of the city to its diagonally opposite corner?
If \[a>0,b>0,\], the maximum area of the triangle ormed by the points \[O(0,0),\]\[A(a\cos \theta ,b\sin \theta )\] and \[B(a\cos \theta ,-b\sin \theta )\]is (in square units)
A variable straight line drawn through the point of intersection of lines \[\frac{x}{a}+\frac{y}{b}=1\]and \[\frac{x}{b}+\frac{y}{a}=1\]meets the coordinate axes at A and S. Then the locus of the mid-point of
The mean and S.D. of 63 children on an arithmetic test are respectively 27.6 and 7.1. To them are added a new group of 26 who had less training and whose mean is 19.2 and S.D. 6.2. The values of the combined group as (i) the mean and (ii) the S.D. are
If A is the arithmetic mean and be two geometric means between any two \[{{G}_{1}}\text{, }{{G}_{2}}\]numbers, then \[\frac{G_{1}^{2}}{{{G}_{2}}}+\frac{G_{2}^{2}}{{{G}_{1}}}\] is equal to