Day 75: CDS Maths

5 questions. Try each one first, then open its answer.

Question 1
Mensuration 3D. This type asked 2 times: CDS 2 2019, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type
60 $The length of a diagonal of a cuboid is 11 cm. The surface area is 240 square cm. What is the sum of its length, breadth and height ?$
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Question 2
Number System. This type asked 2 times: CDS 2 2018, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type
23 $Consider a 6-digit number of the form XYXYXY. The number is divisible by :$
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Question 3
Number System. This type asked 2 times: CDS 2 2021, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type
7 $Consider the following numbers : 1. 437 2. 797 3. 1073 How many of the above numbers are prime?$
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Question 4
Time and Work. This type asked 2 times: CDS 2 2018, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type
8 $A can do a certain work at twice the speed of B. Further, B can do the same work at 1.5 times the speed of C. All of them together can finish the work in 12 days. In how many days can C alone finish the work?$
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Question 5
Mensuration 2D. This type asked 2 times: CDS 1 2020, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type
84 $Two parallel sides of a trapezium are 29 cm and 21 cm. Non-parallel sides are equal and each is of length 8.5 cm. What is the area of the trapezium ?$
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Question 1