Arithmetic

A shopkeeper offers 30% off on MRP of his articles. In addition, he gives one article free for every four articles purchased. Even after all these offers, the shopkeeper manages to get a profit of 12%. By what percent has he marked up his articles?

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Parajumble

The sentences given in the question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Write the sequence of numbers, the sentences of which create the most coherent paragraph.

  1. His Surveys have been distinguished by a willingness to use the data and resources available to the CEA’s office to intervene on important issues and raise new field of inquiry.
  2. It is fair to say that in this last role, Mr.Subramanian has left a deep impact.
  3. The Surveys have provided valuable inputs into debates as as wide ranging as the applicability in India of a universal basic income, India’s “missing women” and whether the Piketty thesis on inequality is valid in this country.
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Geometry

Let ABCD be a rectangle with sides 15 and 20 as shown. Let m be a circle centered at A  of the circle passing through F, C, and E.

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Parajumble

The sentences given in the question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Write the sequence of numbers, the sentences of which create the most coherent paragraph.

  1. Through such judgments, the judiciary has failed not only to protect the legitimate rights of owners, but also to provide economic justice enshrined in Article 38 of the Constitution.
  2. The Indian judiciary doesn’t seem to fully appreciate the consequences of its judgments.
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Numbers

Among the integers 1, 2,3, 4,……, 2018, what is the maximum number of integers that can be selected such that the sum of any two selected numbers is not a multiple of 7?

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Verbal Question of the Day

Which one of the following is a synonym of ‘obtuse’?

 
A. Keen
B. Dull
C. Sharp
D. Large
E. Blunt
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Counting in Geometry


(a) In a plane, if there are n points of which no three are collinear, then

  1. The number of straight lines that can be formed by joining them is nC2.
  2. The number of triangles that can be formed by joining them is nC3.
  3. The number of polygons with k sides that can be formed by joining them is nCk.

(b) In a plane, if there are n points out of which m points are collinear, then

  1. The number of straight lines that can be formed by joining them is nC2mC2 + 1.
  2. The number of triangles that can be formed by joining them is nC3mC3.
  3. The number of polygons with k sides that can be formed by joining them is nCkmCk.

(c) The number of diagonals of an n sided polygon is nC2 – n = n × (n – 3)/2

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Algebra

 

If a, b and c are positive real numbers such that ab + a + b = bc + b + c = ca + c + a = 35. Find the value of (a + 1) (b +1)(c+1) .

Quant Question of the Day: 17/06/2017 :

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