Day 72: CDS Maths
5 questions (14 parts). Try each one first, then open its answer.
Question 1
Mensuration 3D. This type asked 2 times: CDS 1 2017, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type
56The length, breadth and height of a cuboid are increased by 10%, 20% and 50% respectively. What is the percentage increase in volume of the cuboid ?Tap an option to check your answer.
Question 2 (case study, 10 parts)
Number System. This type asked 2 times: CDS 1 2023, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type
Consider the following for the next ten (10) items that follow : Each item contains a Question followed by two Statements. Answer each item using the following instructions :61Let a, b, c and d be positive integers. Question : Which one of a, b, c, d is closest to the product abcd ? Statement-I : a > b > c Statement-II : c is not the smallest.Tap an option to check your answer.
62Let mn = k, where m and n are prime numbers and k is an even number. Question : What is the value of ? Statement-I : m > n Statement-II : One of the numbers is 2.Tap an option to check your answer.
63Question : If p is a positive integer, then what is the remainder when is divided by p + 1 ? Statement-I : n is even. Statement-II : p is even.Tap an option to check your answer.
64Question : Is xy positive ? Statement-I : Statement-II :Tap an option to check your answer.
65Let a, b and c be the sides of a triangle ABC. Question : Is the triangle equilateral ? Statement-I : Statement-II :Tap an option to check your answer.
66Area of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q. Question : Is P > Q ? Statement-I : x : y = 2 : 1 Statement-II : The angle between the two adjacent sides of the parallelogram is .Tap an option to check your answer.
67A circle touches all the four sides AB, BC, CD, DA of a quadrilateral ABCD. Question : What is the perimeter of the quadrilateral ? Statement-I : AB + DC = 10 cm Statement-II : AD + BC = 10 cmTap an option to check your answer.
68Question : What is the ratio of the lengths of diagonals of a rhombus ? Statement-I : One diagonal of the rhombus is equal to its side. Statement-II : The longer diagonal of the rhombus is equal to times its side.Tap an option to check your answer.
69The chord of a circle of radius R touches at a point on the circumference of a concentric circle of radius r. The length of the chord is 24 units. Question : What are the values of r and R ? Statement-I : r is an integer. Statement-II : R is an integer.Tap an option to check your answer.
70P, Q, R, S are the mid-points of sides AB, BC, CD, DA respectively of a quadrilateral ABCD. Question : What is the difference in the area of the quadrilateral ABCD and the area of the quadrilateral PQRS ? Statement-I : Area of the quadrilateral ABCD is 100 square unit. Statement-II : Area of the quadrilateral PQRS is 50 square unit.Tap an option to check your answer.
Question 3
Polynomials. This type asked 2 times: CDS 2 2018, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type
8If 2 is a zero of the polynomial , then what is the sum of the squares of the other zeros of the polynomial ?Tap an option to check your answer.
Question 4
Quadratic Equations. This type asked 2 times: CDS 1 2022, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type
7If the sum and product of the roots of a quadratic equation are 2 and respectively, then which one of the following is correct ?Tap an option to check your answer.
Question 5
Surds, Indices and Simplification. This type asked 2 times: CDS 2 2016, CDS 1 2024. This one: CDS 1 2024 See all 2 of this type
30If , then which one of the following is correct ?Tap an option to check your answer.