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Mathematics Mock Test - 1 - CDS MCQ


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30 Questions MCQ Test CDS (Combined Defence Services) Mock Test Series 2024 - Mathematics Mock Test - 1

Mathematics Mock Test - 1 for CDS 2024 is part of CDS (Combined Defence Services) Mock Test Series 2024 preparation. The Mathematics Mock Test - 1 questions and answers have been prepared according to the CDS exam syllabus.The Mathematics Mock Test - 1 MCQs are made for CDS 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mathematics Mock Test - 1 below.
Solutions of Mathematics Mock Test - 1 questions in English are available as part of our CDS (Combined Defence Services) Mock Test Series 2024 for CDS & Mathematics Mock Test - 1 solutions in Hindi for CDS (Combined Defence Services) Mock Test Series 2024 course. Download more important topics, notes, lectures and mock test series for CDS Exam by signing up for free. Attempt Mathematics Mock Test - 1 | 100 questions in 120 minutes | Mock test for CDS preparation | Free important questions MCQ to study CDS (Combined Defence Services) Mock Test Series 2024 for CDS Exam | Download free PDF with solutions
Mathematics Mock Test - 1 - Question 1

Cost of 40 books is equal to the market price of 16 Book. If seller make 100% profit then find the discount percentage given by him to buyer.

Detailed Solution for Mathematics Mock Test - 1 - Question 1

Mathematics Mock Test - 1 - Question 2

Side AB of a rectangle ABCD is divided into four equal parts as shown in the figure; find the ratio of the area of Δxyc and area of  ?

Detailed Solution for Mathematics Mock Test - 1 - Question 2

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Mathematics Mock Test - 1 - Question 3

In this given figure an equilateral triangle based prism is cut off a cube of side of 3 cm as shown in figure. Find the total surface area (in cm2) of remaining structure.

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Mathematics Mock Test - 1 - Question 4

The average weight of 3 men A,B and C is 85 kg another man D joins the group and the average now become 81 kg. If another man E whose weight is 4 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 80 kg. What is the weight of A? 

Detailed Solution for Mathematics Mock Test - 1 - Question 4

Mathematics Mock Test - 1 - Question 5

If sin θ + cos θ = a and sec θ +cosec θ = b, then value of b(a2 -1) is equal to:     

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Mathematics Mock Test - 1 - Question 6

If a2 + b+ c2 = 2( 3a - 4b - 6c) - 61. Find value of (a-b-c). 

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Mathematics Mock Test - 1 - Question 7

Work done by (x + 4) men in (x + 5) days is equal to the work done by (x – 5) men in (x + 20) days. The value of x is 

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Mathematics Mock Test - 1 - Question 8

What is the number of distinct triangles with integral valued sides and perimeter as 14? 

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Mathematics Mock Test - 1 - Question 9

If x = , then the value of 5x2 - 5x - 1 is 

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Mathematics Mock Test - 1 - Question 10

Find the area (in cm2) of given quadrilateral ABDC.

Detailed Solution for Mathematics Mock Test - 1 - Question 10


Mathematics Mock Test - 1 - Question 11

The train A left Delhi at noon sharp. Four hours later, another train B started from Delhi in the same direction. The train B overtook the train A at 10 p.m. Find the average speed of the both trains over this journey if the sum of their speed is 80 km/h.

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Mathematics Mock Test - 1 - Question 12

The third proportional to and  is 

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Mathematics Mock Test - 1 - Question 13

 is equal to

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Mathematics Mock Test - 1 - Question 14

If a secθ + b tanθ =1 and a2 sec2θ - b2 tan2 = 5, then a2b2 + 4a2 is equal to

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Mathematics Mock Test - 1 - Question 15

If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, then the value of x when y = 5 is 

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Mathematics Mock Test - 1 - Question 16

Which term of the AP: 121, 117, 113……… is its first negative term. 

Detailed Solution for Mathematics Mock Test - 1 - Question 16

Here a = 121 and d = -4 The first negative term will be less than zero.
Moreover each term gives 1 as remainder when divided by 4.
So the last positive term should be 5 let us check the value of n for last term as 5

Mathematics Mock Test - 1 - Question 17

If cot θ + cos θ = p and cot θ - cos θ = q, then (p2 - q2)2 in terms of p and q is-

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Mathematics Mock Test - 1 - Question 18

A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit what will be the gain percent on his outlay. 

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Mathematics Mock Test - 1 - Question 19

In given figure ABCD is a square in which three circles are drawn touching one another. Radius of two smaller circles is R units and bigger circle is 2R units. Diagonal AC of the square passes through the center of all the circles. What is the ratio of the radius of the smaller circles to the side of the square?

Detailed Solution for Mathematics Mock Test - 1 - Question 19

Mathematics Mock Test - 1 - Question 20

The angles of a triangle are in the ratio of 4 : 1 : 1. Then the ratio of the longest side to the perimeter is 

Detailed Solution for Mathematics Mock Test - 1 - Question 20



Mathematics Mock Test - 1 - Question 21

Three circles of radius a, b, c touch each other externally. The area of the triangle formed by joining their centre is 

Detailed Solution for Mathematics Mock Test - 1 - Question 21


Mathematics Mock Test - 1 - Question 22

A man makes 80 articles in the 1st hour. His efficiency decreases by 25% in the 2nd hour, increases by 40% in the 3rd hour, decreases by  in the 4th hour and increases by  in the 5th hour (his efficiency increases or decreases with respect to the efficiency in previous hour). If he works for 5 hours, then find the average of total article made by the man in 5 hours. 

Detailed Solution for Mathematics Mock Test - 1 - Question 22

Mathematics Mock Test - 1 - Question 23

Let A, B, C, D be the angles of a quadrilateral. If they are concyclic then the value of cos A + cos B + cos C + cos D is 

Detailed Solution for Mathematics Mock Test - 1 - Question 23


Mathematics Mock Test - 1 - Question 24

If x = 5 -  , then the value of is 

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Mathematics Mock Test - 1 - Question 25

A can do as much work as B and C together can do. A and B can together do a piece of work in 10 hours and C can do it in 50 hrs. Then, time that B needs to do the work alone is – 

Detailed Solution for Mathematics Mock Test - 1 - Question 25


Mathematics Mock Test - 1 - Question 26

If , then the value of  is:

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Mathematics Mock Test - 1 - Question 27

If a right circular cone is cut into three solids of volumes V1,V2, and V3 by two cuts which are parallel to the base and trisects the altitude then  V1,V2, and V3 is 

Detailed Solution for Mathematics Mock Test - 1 - Question 27


Mathematics Mock Test - 1 - Question 28

A man goes from Delhi to Ghaziabad at v1 km/h, goes back from Ghaziabad to Delhi at v2 km/h and again Delhi to Ghaziabad at v2 km/h. The average speed of man is 

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Mathematics Mock Test - 1 - Question 29

If a+b+c+d=4 then the value of   is 

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Mathematics Mock Test - 1 - Question 30

A spiral is made up of successive semicircles with centers alternately at A and B, starting with center at A of radii 0.5 cm, 1.0 cm, 1.5 cm…………as shown in figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? 

Detailed Solution for Mathematics Mock Test - 1 - Question 30

Circumference of first semicircle = πr= .5π
Circumference of IInd semicircle =1π
Circumference of IIIrd semicircle = 1.5π
It is clear that a =.5π, d= .5π
and n = 13
hence, length of spiral can be calculated as follows

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