### NDA Sample Question Papers

1. If A ={I, 2, {3, 4}, 5}, then the correct statement is :

A. {3, 4} Î A

B. {3, 4} Ï A

C. {3, 4} Ì A

D. { {3, 4} } Ì A

2. If D be subset of the set of all rational numbers, which can be expressed as terminating decimals, then D is closed under the binary operations of

D. subtraction, multiplication and division

3. Of the following sets, the one having exactly eight subsets, is:

A. {0, 1, 2}

B. {1, 2}

C. {8}

D. {1,2, 3, 4, 5, 6, 7, 8}

4. The total number of subsets of the sets {1, 3, 5, 7}is :

A. 8

B. 10

C. 12

D. 16

5. The velocity of sound at 76 cm of pressure is 332 m/s If the pressure is

doubled, the velocity of sound becomes:

A. 166 m/s

C. 332 m/s

B. 664 m/s

D. 340 m/s

6. Sound produced by any of the methods may be essentially characterized

by its:

A. pitch

C. loudness

B. quality

D. all of these

7. Different sounds of the same loudness can be distinguished from the difference

in their:

A. frequencies

B. pitch

C. both of these

D. none of these

8. 1 hertz is equal to :

A. 1 m/s

B. 1 cm/s

C. 1 vibrations

D. 1 mm/s

9. When sound waves travel from air to water, the quantity that remains

unchanged is :

A. speed B. frequency

C. wavelength D. intensity

10. When sound waves travel from one medium to another, the characteristic which

remains unchanged is :

A. frequency B. speed

C. amplitude D. wavelength

Those which represent progressive waves include:

A. 1 and 2

B. 3 and 4

C.5 and 6

D. 2 and 4

12.Sound waves travel fastest in :.

A.brass B. hydrogen

C. oxygen D. water

13.Two sound waves passing through air have their wavelengths in the ratio

4: 5.Their frequencies are in the ratio:

A.4 : 5 B. 3 : 4

C. 5 : 4 D. I : I

14.Sound travels in gases in ‘the form of:

A.longitudinal waves only

B.transverse waves only

C. longitudinal as well as transverse waves

D.stationary waves

15. The line x + y =2 is tangent to the curve x 2 =3 – 2y at. its point

A. (1, 1)

B. (-1, 1)

c. (v3, 0)

D. (3, -3)

16. The distance between the lines 3x- 2y=1 and 6x + 9=4y is

A.1/v52

B11/v52

C.4/v13

D.6/v13

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