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

Total Questions: 100

71. (Question 71 and 72) Consider the following for the next two (02) items that follow: In a Pie-diagram (with radius 7cm), the central angles of the sectors are in the ratio 2 : 3 : 7 : 5 : 1. (Take π = 22/7)

If P is the area of the smallest sector and Q is the area of the largest sector, then what is P + Q equal to ?

Correct Answer: (d) 616/9 cm²
Solution:

72. If p is the perimeter of the smallest sector, then what is the value of 9p?

Correct Answer: (b) 148 cm
Solution:

73. How far from station Q will the two trains meet ?

Correct Answer: (c) 156 km
Solution:

74. At what time will the two trains meet?

Correct Answer: (b) 5 : 44 am
Solution:Time of meet for both trains
= 4 am + 260/250 h
= 4 am + 1.44 h = 5.44 h

75. If the lengths of the two trains A and B are 400 m and 500 m respectively, then what is the time taken by them to cross each other?

Correct Answer: (a) 21.6 sec
Solution:

76. (Question 76-78) Consider the following for the next three (03) items that follow: A triangle CEF is drawn inside a square ABCD as shown in the figure given below. Given: CF = 8cm EF = 6 cm and CE = 10 cm.

What is the area of the square?

Correct Answer: (c) 1024/17 cm²
Solution:

77. What is tanα + tanβ equal to ?

Correct Answer: (d) 17/4
Solution:

78. What is the area of triangle CDE?

Correct Answer: (a) 416/17 cm²
Solution:

79. (Question 79 and 80) Consider the following for the next two (02) items that follow : ABCD is a circle with centre O and taking OC as a diameter a circle is drawn as shown in the figure given below. Let OB = 7 cm (Take, π = 22/7)


What is the area of the shaded region?

Correct Answer: (d) 66.5 cm²
Solution:

80. What is the ratio of the area of the shaded region to the area of the non-shaded region ?

Correct Answer: (a) 19/25
Solution: