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महाराष्ट्र वन सेवा पूर्व परीक्षा २०१२ Questions And Answers:

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201.

Which of the following lengths are the sides of a right angled triangle ?

A. 4, 5, 6

B. 3, 4, 5

C. 5, 6, 9

D. all of the above

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202.

sec θ X sin (90° - θ) + cosec θ X cos (90° - θ) = ___________

A. 0

B. 1

C. 2

D. 3

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203.

▭ PQSN is a trapezium seg. PQ|| seg. NS and PQ=8, PN= . NS = __________ .

A. 14

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204.

The median marks of 100 students in mathematics are 56. It was afterwards found that marks of a student were wrongly considered as 76 instead of 67.

The correct median is _________ .

A. 50

B. 56

C. 60

D. 76

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205.

What is the median weight of the workers from the given below weights ?

61 kg, 58 kg, 41 kg, 88 kg, 65 kg, 72 kg, 70 kg.

A. 70 kg

B. 65 kg

C. 72 kg

D. 71 kg

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206.

If a < b and ka < kb then k must be :

A. 0

B. greater than 0

C. less than 0

D. even

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207.

The measures of the angles of a triangle are in the ratio 5 : 6 : 7.

Then the angles of the triangle are __________ .

A. 50°, 50°, 80°

B. 50°, 60°, 70°

C. 40°, 50°, 90°

D. 45°, 45°, 90°

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208.

The variate x has following frequencies.

Then what is the mean?

A. 4

B. 5

C. 4.12

D. 5.12

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209.

The g.c.d. and 1.c.m. of the polynomials x² + 2x - 3, x³ + 3x² – x- 3 are respectively are respectively ___________ .

A. (x-1) (x+3), (x -1) (x+3) (x+1)

B. (x -1 ) (x + 3) (x -1) (x +3) (x)

C. (x +1) (x + 3) (x + 1) (x + 3) (x - 1)

D. (x -1 ) (x - 3) (x - 1)(x -3) (x + 1)

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210.

The value of sin 330° is :

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211.

In △ ABC, m∠A = 70°, m∠B=65° then m∠C is :

A. 55⁰

B. 45⁰

C. 50⁰

D. 90⁰

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212.

A cylindrical vessel of radius 8 cm contains water. A solid sphere of radius 6 cmn is lowered into the water until it is completely immersed. The water level in the vessel will rise by :

A. 2.5 cm

B. 3.5 cm

C. 4.5 cm

D. 5.5 cm

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213.

If sum of a natural number and its reciprocal is 10/3, then the number n must be :

A. 3

B. 10

C. 5

D. 6

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214.

If △ ABC and △ PQR are similar triangles then ratio equals to :

A. AB/PQ

B. BC/QR

C. AB²/QR²

D. AB²/PQ²

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215.

What is the volume of the sphere whose surface area is 154 cm² ?

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216.

The curved surface area of a cone is 4070 cm² and its radius is 35 cm. Then what will its slant height be ?

A. 34 cm

B. 35 cm

C. 36 cm

D. 37 cm

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217.

What is a set of instructions to the computer called ?

A. Mentor

B. Instructor

C. Compiler

D. Program

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218.

The mean marks obtained by 300 students in the subject of statistics is 45. The mean marks of the top 100 of them was found to be 70 and the mean of last 100 was known to be 20. What is the mean of the remaining 100 students.

A. 45

B. 57.5

C. 50

D. 65

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219.

A copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What will be the length of the wire ?

A. 9 m

B. 12 m

C. 18 m

D. 36 m

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220.

What is the percentage of students getting marks more than 30 from the following frequency
distribution ?

A. 18%

B. 20%

C. 30%

D. 25%

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