SSC CGL 2013 Tier 1 21 April Morning Shift

ABCD is a rhombus. AB is produced to F and BA is produced to E such that AB = AE = BF. Then :

The radius of the circumcircle of a right angled triangle is 15 cm and the radius of its inscribed circle is 6 cm. Find the sides of the triangle.

Find the maximum number of trees which can be planted, 20 metres apart, on the two sides of a straight road 1760 metres long

A contractor undertook to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/ 3 of the work. How many men can be discharged now so that the work may finish in time ?

If the lengths of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :

Each of the two circles of same radius a passes through the centre of the other; If the circles cut each other at the points A and Band 0, 0′ be their centres, area of the quadrilateral AOBO’ is :

The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25%, a mean score of 31. The mean score of remaining 55% is :

In a ΔABC ∠A : ∠B : ∠C = 2 : 3 : 4. A line CD drawn ║ to AB, then the ∠ACD is :

The curved surface area and the total surface area of a cylinder are in the ratio 1:2 If the total surface area of the right cylinder is 616 cm , then its volume is :

A person observed that he required 30 seconds less time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30 m/minute, then the radius of the circular ground is $$(Take \pi=\frac{22}{7})$$