Day 136: CDS Maths
5 questions (14 parts). Try each one first, then open its answer.
Question 1
Time and Work. Asked once: CDS 2 2023 (same type asked 2 times) See all 2 of this type
4If A and B can finish a work in 10 days, B and C can finish the same work in 12 days, C and A can finish the same work in 15 days; then in how many days can A, B and C together finish half of the work ?Tap an option to check your answer.
Question 2
Triangles. Asked once: CDS 1 2023 (same type asked 2 times) See all 2 of this type
29If a, b and c are the sides of a triangle ABC, then is always :Tap an option to check your answer.
Question 3
Mensuration 3D. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type
82If the radius of a right circular cone is increased by p% without increasing its height, then what is the percentage increase in the volume of the cone ?Tap an option to check your answer.
Question 4 (case study, 10 parts)
Number System. Asked once: CDS 1 2023 (same type asked 2 times) See all 2 of this type
For the next ten (10) items that follow : Each item contains a Question followed by two Statements. Answer each item using the following instructions :71A number 277XY5 (where X, Y are digits) is divisible by 25. Question : What is the value of X ? Statement I : The given number is divisible by 9. Statement II : .Tap an option to check your answer.
72Question : What are the unique values of a, b and c if 2 is a root of the equation ? Statement I : Ratio of c to a is 1. Statement II : Ratio of b to a is .Tap an option to check your answer.
73Question : Is , where m, n are non-zero numbers ? Statement I : . Statement II : .Tap an option to check your answer.
74Question : Can a circle be drawn through the points A, B and C ? Statement I : AB = 5 cm, BC = 5 cm, CA = 6 cm. Statement II : AB = 3 cm, BC = 4 cm, CA = 7 cm.Tap an option to check your answer.
75x and y are consecutive odd integers. Question : Can the value of be determined uniquely ? Statement I : . Statement II : .Tap an option to check your answer.
76Question : Is odd, where p, q are positive integers ? Statement I : is odd. Statement II : is odd.Tap an option to check your answer.
77Question : What is the area of the circle C ? Statement I : An arc of length 7 cm subtends an angle at the centre of C. Statement II : A chord of length 10 cm subtends an angle at the centre of C.Tap an option to check your answer.
78Question : Is triangle right angled ? Statement I : The length of the line segment joining the mid-points of two sides of is half of the third side of . Statement II : The angles of are in the ratio 1 : 2 : 3.Tap an option to check your answer.
79The lengths of two longer sides of the triangle are 25 cm and 24 cm. Question : What is the length of the shortest side ? Statement I : The angles of are in the ratio 1 : 2 : 3. Statement II : The length of the perpendicular drawn on the longest side of from its opposite vertex is 6.72 cm.Tap an option to check your answer.
80A chord PQ of the circle C divides it into two segments such that 3 times the area of the major segment is 4 times the area of the minor segment. Question : What is the radius of C ? Statement I : Area of the minor segment is 66 square cm. Statement II : Area of the major segment is 88 square cm.Tap an option to check your answer.
Question 5
Polynomials. Asked once: CDS 2 2018 (same type asked 2 times) See all 2 of this type
50If , and are the zeros of the polynomial , then is equal toTap an option to check your answer.