SOLVED PAPER 2024 (CDS) (I) (Mathematics)

Total Questions: 100

81. (Questions 81 and 82) Consider the following for the next two (02) items that follow : , Let two parallel line segments PQ = 5cm and RS = 3 cm be perpendicular to a horizontal line AB as shown in the figure given below. The point of intersection of PS and QR is M and MN is perpendicular to QS.

Correct Answer: (d) 15/8 cm
Solution:

82. What is the ratio of the area of the quadrilateral PQNM to the area of the quadrilateral RSNM?

Correct Answer: (c) 275/117
Solution:

83. (Questions 83-85) Consider the following for the next three (03) items that follows:

The following pie-chart- I shows the people migrating to Delhi from different Indian States (P, Q and R are three different States and S is the combined group of other states) and pie- chart-II indicates the different age groups, A, B, C and D of these migrating people for each state.

If the people coming from a particular state belonging to S are 15% and 24000 in number, then what is the total number of migrating people belonging to the age group BB ?

Correct Answer: (a) 1.2 lakh
Solution:

84. What is the maximum of differences between the number of people coming from different groups P, Q, R and S ?

Correct Answer: (c) 2.4 lakh
Solution:

85. What is the difference between number of people coming form R having age group A and those coming from Q having age group D ?

Correct Answer: (b) 8000
Solution:

86. (Questions 86 and 87) Consider the following for the next two (02) items that follows:


Consider two identical rectangles ABCD and BEDF as shown in the figure given below.
Let AB = 1cm and BC = 2cm

What is the area of the overlapping region?

Correct Answer: (b) 5/4 cm²
Solution:

87. What is the area of the non -overlapping region?

Correct Answer: (c) 3/2 cm²
Solution:

88. (Question 88-90) Consider the following for the next three (03) items that follow :

ABC is a right angled triangle with angle ABC = 90° The centre of the incircle of the given triangle is at O whose radius is 2 cm. Two more circles with centres at O₁ and O₂ touch this circle and the two sides shown in the figure given below,

Further, MA: MC = 2/3 ,

What is AB + BC equal to ?

Correct Answer: (d) 14 cm
Solution:

89. What is the radius of the circle with centre at O₁ ?

Correct Answer: (d) 3 - √5
Solution:

90. What is the radius of the circle with centre at O₂ ?

Correct Answer: (c)
Solution: