Maths - General Airthmatic

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1. The value of (0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02) / (0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04) is

  • Option : D
  • Explanation : (0.1 x 0.1 x O.l + 0.02 x O.02 x O.02)/(0.2 x 0.2 x 0.2 + 0.04 x O.04 x O.04) =(0.001 + 0.000008)/(0.008 + 0.000064) = 0.001008 / 0.008064 = 1/8 = 0.125
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2. The statement obtained by interchanging the 'premise' and 'conclusion' of a theorem is called

  • Option : A
  • Explanation : A converse of a theorem is a statement formed by interchanging what is given in a theorem and what is to be proved.
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3. Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If in all the inhabitants, 25% are literate, then what per cent of females of the town are literate?

  • Option : D
  • Explanation : Total literate = 25% of 1000 =250. Male = 60% of 1000 = 600. Female = 40% of 1000 = 400. Male literate = 20% of 600 = 120. ∴ Female literate = 250 - 120 = 130. ∴ Required percentage = 130/400 xl00 % = 32.5%
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4. The angle between the hour hand and the minute hand of a clock at 3:40 pm will be

  • Option : C
  • Explanation : Angle made by minute hand in 40 min =40 x6°=240° Angle made by hour hand in 40 min =40 x 1°/2 =20° ∴ Angle at 3: 40 pm = 240 ° - 20° -90° =130°
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5. If?% of (4)? = 512, then what will come in
place of interrogative sign (?)?

  • Option : B
  • Explanation : ?% of 4? = 51.2.
    ?/100 x 4? = 5120/100
    ⇒ ? x 4? = 5120 = 45 x 5 ⇒ ? = 5
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