Day 261: CDS Maths

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

Question 1
Ratio, Proportion and Variation. Asked once: CDS 1 2020
33 $27 : 34$
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Question 2
Sequence and Series. Asked once: CDS 2 2016
98 $What is the difference between the sum of the cubes and that of squares of first ten natural numbers ?$
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Question 3
Sets. Asked once: CDS 2 2018
33 $Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is$
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Question 4
Simple and Compound Interest. Asked once: CDS 1 2019
15 $The rate of interest on two different schemes is the same and it is 20%. But in one of the schemes, the interest is compounded half yearly and in the other the interest is compounded annually. Equal amounts are invested in the schemes. If the difference of the returns after 2 years is Rs. 482, then what is the principal amount in each scheme ?$
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Question 5
Statistics. Asked once: CDS 2 2019
62 $Consider the following frequency distribution : x f 865465108994674 What is the median for the distribution ?$
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Question 1

Question 2

Question 3

Question 4

Question 5