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Mathematics Mock Test - 2 - CDS MCQ


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30 Questions MCQ Test - Mathematics Mock Test - 2

Mathematics Mock Test - 2 for CDS 2024 is part of CDS preparation. The Mathematics Mock Test - 2 questions and answers have been prepared according to the CDS exam syllabus.The Mathematics Mock Test - 2 MCQs are made for CDS 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mathematics Mock Test - 2 below.
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Mathematics Mock Test - 2 - Question 1

If 2 boys consume 2x calories every y/2 days. 8 girls consume z/2 calories every y days. How many calories will 12 girls & 12 boys consume in 12 days ? 

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Mathematics Mock Test - 2 - Question 2

Adjacent sides of the rectangular plot are 20meter and 12meter respectively. A dishonest builder in an attempt to make more profit has encroached 2meter of land on all four sides and then by doing the fencing of the entire plot, he sold it to a customer at Rs 55 sq meter. How much extra money has been made by the builder?

Detailed Solution for Mathematics Mock Test - 2 - Question 2


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Mathematics Mock Test - 2 - Question 3

In an Election 10% of the voters on the voters’ list did not cast their votes and 60 voters cast their ballot papers blank. there were only two candidates. The winner was supported by 47% of all the votes in the list and he got 308 votes more than his rival the Number of voters on the list was. 

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Mathematics Mock Test - 2 - Question 4

The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is: 

Detailed Solution for Mathematics Mock Test - 2 - Question 4

let no. of new girls admitted=g

Mathematics Mock Test - 2 - Question 5

If X2. is a perfect cube, then which of the following statement is always true. 

Detailed Solution for Mathematics Mock Test - 2 - Question 5

Let n = 8, n2 = 64 = 43
so, n is a perfect cube

Mathematics Mock Test - 2 - Question 6

B was born when A was 4 yrs 7 months old and C was born When B was 3 yrs 4 months old. When C was 5 yrs 2 months old, then their average age was 

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Mathematics Mock Test - 2 - Question 7

Abhaya sell his office at a loss of 10%, if he had sold it for Rs. 245 more he would have gained 25% profit. What will be his gain or loss present if he sold it Rs. 595? 

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Mathematics Mock Test - 2 - Question 8

Neha’s weight is 140% of tina’s weight Mina’s weight is 90% of Lina’s weight. Lina’s weight is twice as much as that of Tina. If Neha’s weight is x% of Mina’s weight then x is equal to- 

Detailed Solution for Mathematics Mock Test - 2 - Question 8

Mathematics Mock Test - 2 - Question 9

Two barges, traveling at 5 & 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one min before they collide? 

Detailed Solution for Mathematics Mock Test - 2 - Question 9

Mathematics Mock Test - 2 - Question 10

Arun borrowed a sum of Rs. 4000 at 5% pa SI for Ramu. He returned the amount with interest after 2 yrs. Ramu returns to Arun 3% of the total amount returned. How much did Ramu received overall? 

Detailed Solution for Mathematics Mock Test - 2 - Question 10

Mathematics Mock Test - 2 - Question 11

Let α & β be the roots of eqn. x2 - 6x - 2 = 0. If αn = αn + βn , for n ≥ 1, then value of 

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Mathematics Mock Test - 2 - Question 12

If a, b, c are distinct +ve real numbers and a2 + b2 + c2 = 1 then ab + bc + ca =? 

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Mathematics Mock Test - 2 - Question 13

Find value of x, if

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Mathematics Mock Test - 2 - Question 14

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Mathematics Mock Test - 2 - Question 15

The base of a triangular field is four times its height. If the cost of cultivating the field at Rs. 15.5 per hectare is Rs. 1116, find the base length (in meter) of the triangular field? (1 hectare = 10000 m

Detailed Solution for Mathematics Mock Test - 2 - Question 15


Mathematics Mock Test - 2 - Question 16

Find the perimeter (in cm) of a regular quadrilateral with a diagonal of length 3√2 cm? 

Detailed Solution for Mathematics Mock Test - 2 - Question 16

Mathematics Mock Test - 2 - Question 17

Find the cost of Flooring of the heart shaped pool mentioned in the figure if the rate of flooring is Rs 150 per sq meter and depth of the pool is 2 meters?
  

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Mathematics Mock Test - 2 - Question 18

Find the area of the shaded region where PQRSTU is a regular hexagon of side 12 cm, & W is its centroid.
  

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Mathematics Mock Test - 2 - Question 19

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Mathematics Mock Test - 2 - Question 20

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Mathematics Mock Test - 2 - Question 21

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Mathematics Mock Test - 2 - Question 22

Find ∠PQR of the given isosceles ΔAPQ, when PQ = PA & QR = RA?

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Mathematics Mock Test - 2 - Question 23

The sum of real roots of equation x2 + |x| - 6 = 0 is 

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Mathematics Mock Test - 2 - Question 24

If 0° < θ < 90° and 2 tan θ = 3 cosec θ, then θ is —  

Detailed Solution for Mathematics Mock Test - 2 - Question 24

Mathematics Mock Test - 2 - Question 25

If (tan θ + cot θ) = 1, sin θ + cos θ = b with 0° < θ < 90°  then relation between a and b is — 

Detailed Solution for Mathematics Mock Test - 2 - Question 25

Mathematics Mock Test - 2 - Question 26

Given an equilateral ∆ABC inscribing two circles as shown in the figure below. If DE tangent to both the circles. Then find the ratio of perimeters of the two circles.
  

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Mathematics Mock Test - 2 - Question 27

If  = 5 then the value of  is     

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Mathematics Mock Test - 2 - Question 28

A Toy consists of a base that is the section of a sphere and a conical top. The volume of the conical top is 30 π sq. units and its height is 10 units. The total height of the toy is 19 unit. Then the volume of the sphere (in cubic units) is. 

Detailed Solution for Mathematics Mock Test - 2 - Question 28


Mathematics Mock Test - 2 - Question 29

Amit plans to buy a scooter for his sister for which he saves Rs. 15625 at the start of every year for 3 year. If the rate of CI is 4% pa. then amount at which he plans to buy the scooter is (in Rs.) 

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Mathematics Mock Test - 2 - Question 30

What is the value of a, if (x -a) is a factor of (x3 - a2x + x + 1)? 

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