SSC CGL Tier-2 25-October-2015 Maths

A man starts from a place P and reaches the place Q in 7 hours. He travels $$\frac{1}{4}$$ th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance, in kilometre, between P and Qis

If O is the circumcentre of a tnangle ABC lying inside the triangle, then equal to

The simple interest on a sum of money is$$\frac{8}{25}$$ of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is

. In $$ \triangle$$  ABC ,$$ \angle BAC=$$90^\circ$$ and  $$AD \perp BC$$.If  BD= 3 cm and CD= 4 cm then the length (in cms) of  AD is 

Three glasses of equal volume contains acid mixed with water, The ratio of acid and water are 2: 3,3: 4 and 4: 5 respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is

IfA: B=2: 3 and B: C = 3: 7 thenA+B:B+C:C+Ais

The numerical values of the volume and the area of the lateral surface of a right  circular cone are equal. If the height of the cone be h and radius, be r, then the  value of  $$\frac{1}{h^{2}}$$+$$\frac{1}{r^{2}}$$ is

Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8km/hour faster then the other, then speed of train from Qis

 If $$tan\theta-cot\theta=0$$  and  $$\theta$$ is  positive acute angle then the value of  $$ \frac{tan(\theta+15)}{tan(\theta-15)}$$

The portion of a ditch 48 m long, 16.5 m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of a diameter 4 m and length S6 mis