Identify the correct statements. A. The angle between the hour hand and the…

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Identify the correct statements.

A. The angle between the hour hand and the minute hand at 2:40 PM is 130°
B. If x3=1331, then x=11.
C. The area of a 1.0 m wide track around a rectangular sports field of dimensions 20 m × 18 m is 80 m²
D. (1/8 of 1000)1/3 is equal to 5

Choose the correct answer from the options given below :

  1. A.

    A, B, and C Only

  2. B.

    A, B, C, and D

  3. C.

    B, C, and D Only

  4. D.

    A, C, and D Only

Attempted by 1 students.

Show answer & explanation

Correct answer: C

A. The angle between the hour hand and the minute hand at 2:40 PM is 130°

Minute hand angle:

40×6=240°

Hour hand angle:

2×30+40/60×30=60+20=80°

Angle between hands:

240−80=160°

So statement A is false.

B. If x3=1331, then x=11

113=11×11×11=1331

So statement B is true.

C. The area of a 1.0 m wide track around a rectangular sports field of dimensions 20 m×18 m is 80 m2

Outer dimensions:

(20+2)×(18+2)=22×20=440

Inner area:

20×18=360

Track area:

440−360=80 m2

So statement C is true.

D. (1 / 8 of 1000)1/3 =1251/3=5

So statement D is true.

Correct statements are:

B, C, and D Only

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