Visual lens G Strategy (Concept of similarities) In a triangle ABC, AB=AC=12 cm and D is a point on side BC such that AD= 8 cm. If AD is extended to point E such that angle ACB = angle AEB , then length in cm of AE is : 1.16 2.18 3.14 4.20 Visual G … Read more
Visual Lens G Strategy | Hexagon Area | Easy Let ABCDEF be a regular hexagon and P and Q be the midpoints of AB and CD, respectively.Then, the ratio of the areas of trapezium PBCQ and hexagon ABCDEF is _______ Visual Lens G Strategy | Easy Let f(x) = x/(2x − 1) and g(x) = … Read more
Visual Lens | Coordinate Geometry | MEDIUM The (x, y) coordinates of vertices P, Q and R of a parallelogram PQRS are (-3, -2), (1, -5) and (9, 1), respectively. If the diagonal SQ intersects the x-axis at (a, 0), then the value of a is Visual Lens | Odd even numbers In the set … Read more
After two successive increments, Gopal’s salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was ?1) 252) 203) 27.54) 30 A regular octagon ABCDEFGH has sides of length 6 cm each. Then the … Read more
Question 1 Roots and Expression Value The roots \( \alpha, \beta \) of the equation \( 3x^2 + \lambda x – 1 = 0 \) satisfy \[ \frac{1}{\alpha^2} + \frac{1}{\beta^2} = 15. \] The value of \( (\alpha^3 + \beta^3)^2 \) is: Question 2 Trapezium + Triangles ABCD is a trapezium in which AB is … Read more
MathJax Question Let \( x, y, \) and \( z \) be real numbers satisfying: \( 4(x^2 + y^2 + z^2) = a \), \( 4(x – y – z) = 3 + a \). Then \( a \) equals: 1. \( 1 \) 2. \( 4 \) 3. \( 3 \) 4. \( 1 … Read more
CAT 2023 QA Slot 3 – Questions and Solutions CAT 2023 QA Slot 3 Questions and Solutions Question 1 The number of positive integers less than 1000, having exactly two distinct prime factors, is: A. 10 B. 12 C. 15 D. 18 Show Solution Answer: C. 15 Detailed Solution: We count numbers of the form … Read more
CAT 2023 QA Questions and Solutions CAT 2023 QA Questions and Solutions Question 17: Geometry – Triangles A triangle is drawn with its vertices on the circle \( C \) such that one of its sides is a diameter of \( C \) and the other two sides have their lengths in the ratio \( … Read more
CAT 2023 QA Solutions CAT 2023 QA Questions and Solutions Question 1 The number of all natural numbers up to 1000 with non-repeating digits is: A. 648 B. 585 C. 738 D. 504 Show Solution Answer: C. 738 Detailed Solution: – **1-digit numbers:** 9 – **2-digit numbers:** 9 choices for the tens place, 9 remaining … Read more