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CAT Previous Year Paper | CAT Quants Questions | Question 21

When it comes to the Quantitative Aptitude section of the CAT exam, Geometry is the second most important topic and hence, needs to be covered very thoroughly. One way to go about this preparation is to practice questions from CAT previous year paper and get a hang of the kind of questions you can expect in the CAT Question Paper. Ace your CAT preparation online with this question from Geometry from CAT 2020 question paper. Don't look at the solution provided before trying them out yourself.

Question 21 : Let C1 and C2 be concentric circles such that the diameter of C1 is 2cm longer than that of C2. If a chord of C1 has length 6 cm and is a tangent to C2, then the diameter, in cm of C1 is


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Explanatory Answer

Two concentric Circles
The line from the center bisects chohrd of length 6
into 3 and 3. Since the triangle is of 3, r and r +1
Triplet of triangle 3,4 and 5
r = 4, r + 1 = 5 (radius of C1)
Diameter of C1 = 10


The question is "Let C1 and C2 be concentric circles such that the diameter of C1 is 2cm longer than that of C2. If a chord of C1 has length 6 cm and is a tangent to C2, then the diameter, in cm of C1 is"

Hence, the answer is, " 10"

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