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Frequently Asked CAT Numerical Ability - Geometry Sample Question with Solutions

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(#M40152642) CAT QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

find the number of numbers between 140 to 259,both included and divisible by 7

Asked In CAT pratik (10 years ago)
Unsolved Read Solution (2)
Is this Puzzle helpful?   (4)   (11) Submit Your Solution Geometry

(#M40036519) CAT QUESTION mensuration Keep an EYE Keep an eye puzzle Keep an eye puzzle

The size of an equilateral triangle is 10cm long. by drawing parallel to all its sides the distance b/w the any two parallel lines being the same. the triangle is divided into smaller equilateral triangle each of which has side of 1cm length. how many such triangles ate formed?

Asked In CAT shrishti jain (11 years ago)
Unsolved Read Solution (3)
Is this Puzzle helpful?   (8)   (9) Submit Your Solution Geometry
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(#M40008910) CAT QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x-y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?

Asked In CAT Vignesh (13 years ago)
Unsolved Read Solution (1)
Is this Puzzle helpful?   (7)   (0) Submit Your Solution Geometry

(#M40152968) CAT QUESTION quant Keep an EYE Keep an eye puzzle Keep an eye puzzle

In a triangle ABC, points P1, Q1, R1 divide the lines AB, BC and AC respectively in the ratio 3 : 2 each. In the triangle P1 Q1 R1, the points P2, Q2 and R2 divide the sides P1Q1, Q1R1 and P1R1 in the ratio 3 : 2 each. A new triangle is constructed by joining the points on the sides of triangle P2Q2R2 that divide these sides in the ratio 3 : 2. This process of forming triangles continues infinitely. Find the ratio of the area of triangle P1Q1R1 to the sum of the areas of all the formed/constructed triangles (P2Q2R2, P3Q3R3…) whose areas are smaller than the area of the triangle P1Q1R1.

Asked In CAT S B HARISH (10 years ago)
Unsolved Read Solution (1)
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(#M40009823) CAT QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

If perimeter of a triangle with integer sides is equal to 15. How many such triangles are possible?

Asked In CAT Devendra Marghade (13 years ago)
Unsolved Read Solution (3)
Is this Puzzle helpful?   (5)   (5) Submit Your Solution Geometry

(#M40021057) CAT QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

(1) 16.665

(2) 16.565

(3) 15.465

(4) 14.365

Asked In CAT Alok Kumar (12 years ago)
Unsolved Read Solution (1)
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