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Directions to Solve

In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.

Give answer

(A) If only assumption I is implicit
(B) If only assumption II is implicit
(C) If either I or II is implicit
(D) If neither I nor II is implicit
(E) If both I and II are implicit.

Q1: Statement: The cost of living has gone up in India. Assumptions:

The price of essential commodities has gone up in recent times.

Many luxury goods are available in plenty in the country.

A Either I or II is implicit

B Only assumption I is implicit

C Only assumption II is implicit

D Both I and II are implicit

E Neither I nor II is implicit

Q2: Which of the following should be used to implement a 'Has a' relationship between two entities?

A Polymorphism

B Containership

C Templates

D Encapsulation

E Inheritance

Q3: If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

Q4:
Given figure shows a 90° sector of spherical reflector with vertex 'V', centre of curvature 'C' and equal distances VD, DF, FE and EC. When a beam of EM wave is incident parallel to the axis, all the energy will pass through the region

A VD

B DF

C EF

D EC

Q5: The process used to set up a programs once the system is operational is

A Boot strap

B Utility

C Operating system

D None of the above

E Black bon

Q6: The sphericity of a cylinder of 1 mm diameter and length 3 mm is

A 0.78

B 0.6

C 0.5

D 0.9

ANS:A - 0.9

Sphericity (Ψ\PsiΨ) is a measure of how closely the shape of an object approaches that of a perfect sphere. It is defined as the ratio of the surface area of a sphere (having the same volume as the object) to the surface area of the object. For a cylinder with diameter ddd and length LLL, the sphericity Ψ\PsiΨ can be calculated using the formula: Ψ=Surface area of sphere with same volume as the cylinderSurface area of the cylinder\Psi = \frac{\text{Surface area of sphere with same volume as the cylinder}}{\text{Surface area of the cylinder}}Ψ=Surface area of the cylinderSurface area of sphere with same volume as the cylinder First, calculate the volume of the cylinder: Vcylinder=π(d2)2L=π(1 mm2)2×3 mm=π×0.25×3 mm3=0.75π mm3V_{\text{cylinder}} = \pi \left(\frac{d}{2}\right)^2 L = \pi \left(\frac{1 \text{ mm}}{2}\right)^2 \times 3 \text{ mm} = \pi \times 0.25 \times 3 \text{ mm}^3 = 0.75\pi \text{ mm}^3Vcylinder=π(2d)2L=π(21 mm)2×3 mm=π×0.25×3 mm3=0.75π mm3 The radius rrr of a sphere with the same volume is found from: Vsphere=43πr3=0.75π mm3 ⟹ r3=0.75×34=0.5625 ⟹ r=0.56253≈0.825 mmV_{\text{sphere}} = \frac{4}{3}\pi r^3 = 0.75\pi \text{ mm}^3 \implies r^3 = 0.75 \times \frac{3}{4} = 0.5625 \implies r = \sqrt[3]{0.5625} \approx 0.825 \text{ mm}Vsphere=34πr3=0.75π mm3⟹r3=0.75×43=0.5625⟹r=30.5625≈0.825 mm Next, calculate the surface areas:

Surface area of the sphere:

Asphere=4πr2=4π(0.825 mm)2≈4π×0.6806=2.722π mm2A_{\text{sphere}} = 4\pi r^2 = 4\pi (0.825 \text{ mm})^2 \approx 4\pi \times 0.6806 = 2.722\pi \text{ mm}^2Asphere=4πr2=4π(0.825 mm)2≈4π×0.6806=2.722π mm2

Surface area of the cylinder:

Acylinder=2π(d2)2+πdL=2π(1 mm2)×3 mm+2π(1 mm2)2A_{\text{cylinder}} = 2\pi \left(\frac{d}{2}\right)^2 + \pi d L = 2\pi \left(\frac{1 \text{ mm}}{2}\right) \times 3 \text{ mm} + 2\pi \left(\frac{1 \text{ mm}}{2}\right)^2Acylinder=2π(2d)2+πdL=2π(21 mm)×3 mm+2π(21 mm)2 Acylinder=2π×0.5×3+2π×0.25A_{\text{cylinder}} = 2\pi \times 0.5 \times 3 + 2\pi \times 0.25Acylinder=2π×0.5×3+2π×0.25 Acylinder=3π+0.5π=3.5π mm2A_{\text{cylinder}} = 3\pi + 0.5\pi = 3.5\pi \text{ mm}^2Acylinder=3π+0.5π=3.5π mm2 Finally, calculate the sphericity: Ψ=AsphereAcylinder=2.722π3.5π=2.7223.5≈0.777\Psi = \frac{A_{\text{sphere}}}{A_{\text{cylinder}}} = \frac{2.722\pi}{3.5\pi} = \frac{2.722}{3.5} \approx 0.777Ψ=AcylinderAsphere=3.5π2.722π=3.52.722≈0.777 So, the sphericity of the cylinder is approximately 0.78.

Q7: How many times has the Australian women's cricket team won the Women's Cricket World Cup?

A 6 times

B 7 time

C 8 times

D 9 times

Q8: What is India's position in the medal list of the International Shooting Sport Federation Junior World Cup?

A 1st

B 2nd

C 3rd

D 4th

Q9: Where did the Indian ships participate in the '70th International Fleet Review'?

A Japan

B China

C UAE

D Russia

Q10: Where has India participated in the 'World Travel Market 2022?

A China

B USA

C London

D UAE

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Q1: Statement: The cost of living has gone up in India. Assumptions:

The price of essential commodities has gone up in recent times.

Many luxury goods are available in plenty in the country.

Q2: Which of the following should be used to implement a 'Has a' relationship between two entities?

Q3: If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

Q4:
Given figure shows a 90° sector of spherical reflector with vertex 'V', centre of curvature 'C' and equal distances VD, DF, FE and EC. When a beam of EM wave is incident parallel to the axis, all the energy will pass through the region

Q5: The process used to set up a programs once the system is operational is

Q6: The sphericity of a cylinder of 1 mm diameter and length 3 mm is

Q7: How many times has the Australian women's cricket team won the Women's Cricket World Cup?

Q8: What is India's position in the medal list of the International Shooting Sport Federation Junior World Cup?

Q9: Where did the Indian ships participate in the '70th International Fleet Review'?

Q10: Where has India participated in the 'World Travel Market 2022?

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Q1: Statement: The cost of living has gone up in India. Assumptions: The price of essential commodities has gone up in recent times. Many luxury goods are available in plenty in the country.

Solution

Q2: Which of the following should be used to implement a 'Has a' relationship between two entities?

Solution

Q3: If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

Solution

Q4: Given figure shows a 90° sector of spherical reflector with vertex 'V', centre of curvature 'C' and equal distances VD, DF, FE and EC. When a beam of EM wave is incident parallel to the axis, all the energy will pass through the region

Solution

Q5: The process used to set up a programs once the system is operational is

Solution

Q6: The sphericity of a cylinder of 1 mm diameter and length 3 mm is

Solution

Q7: How many times has the Australian women's cricket team won the Women's Cricket World Cup?

Solution

Q8: What is India's position in the medal list of the International Shooting Sport Federation Junior World Cup?

Solution

Q9: Where did the Indian ships participate in the '70th International Fleet Review'?

Solution

Q10: Where has India participated in the 'World Travel Market 2022?

Solution

Q1: Statement: The cost of living has gone up in India. Assumptions:

The price of essential commodities has gone up in recent times.

Many luxury goods are available in plenty in the country.

Q4:
Given figure shows a 90° sector of spherical reflector with vertex 'V', centre of curvature 'C' and equal distances VD, DF, FE and EC. When a beam of EM wave is incident parallel to the axis, all the energy will pass through the region